The correct option is B. The trips will each bus has to make to get everyone to the stadium is 40 trips.
The number of fans who will need to use satellite parking is:
150,000 x 0.52 = 78,000
Each bus can carry 65 fans, so the total number of trips required is:
78,000 / 65 = 1200
Therefore, each bus will need to make 1200/30 = 40 trips
Satellite parking typically offers lower rates than the central parking area and provides a shuttle service to transport passengers to and from the main terminal. This type of parking is a popular option for travelers who need to park their car for an extended period of time, such as those going on vacation or business trips.
Satellite parking can be located either on-site or off-site, depending on the transportation hub. Some airports have several satellite parking lots located at various distances from the main terminal, while others have a single satellite parking area. Overall, satellite parking is an important component of transportation infrastructure, as it provides a convenient and affordable parking solution for travelers while also helping to alleviate congestion in the main parking area.
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Deion had 4.22 grams of pepper. Then he used 1.92 grams of the pepper to make some
scrambled eggs. How much pepper does Deion have left?
Deion now has 2.30 grammes of pepper remaining.
What is a function's initial value?pre-warnt g The g the l e the l the l a n no. If you entered x=0 into your equation, you would receive this result. Your original amount is the part of your equation that is NOT increased to the x power.
We must take the amount of pepper Deion used from the total amount he had in order to determine how much pepper he still has.
Initial amount of pepper = 4.22 grams
Amount of pepper used = 1.92 grams
Pepper remaining = Initial amount - Amount used
Pepper remaining = 4.22 grams - 1.92 grams
Pepper remaining = 2.30 grams
Therefore, Deion has 2.30 grams of pepper left.
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what is the percentage of 28% of n is 196
Answer:
700
Step-by-step explanation:
28 % of n = 28/100 x n = 0.28n
If 28% of n = 196 that means
0.28n = 196
Divide both sides by 0.28
0.28n/0.28 = 196/0.28
n = 700
What is the sum of the following equation? (2 points)
sixteen hundredths plus six-tenths equals blank
ten hundredths
twenty-two hundredths
thirty-six hundredths
seventy-six hundredths
The sum of the decimal fraction equation is:
seventy-six hundredths
How to add decimal fractions?The equation we are given is sixteen hundredths plus six-tenths
Now, when we talk about the decimal hundredths. Hundredths after decimal points shows 1/100th part of a whole. It represents the place value of the digit that occurs two places after the decimal.
Thus:
sixteen hundredths = 16/100
Similarly, six-tenths = 6/10
Thus:
The sum is:
16/100 + 6/10
= (16 + 60)/100
= 76/100 or seventy-six hundredths
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PLS HELP WITH SOME ONE THE ANSWER (50 points!)
How does cellular respiration help maintain homeostasis in animals?
Explain why cells separate and expel waste.
Why do cells in organisms such as animals reproduce?
Explain how plant cells use photosynthesis to maintain homeostasis?
How does cellular respiration help maintain homeostasis in animals?
Answer: Cellular respiration helps animals maintain homeostasis by breaking down glucose to produce ATP, which is the energy currency of the cell. ATP is necessary for many cellular processes that help maintain homeostasis such as active transport and protein synthesis.
Explain why cells separate and expel waste.
Answer: Cells separate and expel waste to prevent the accumulation of toxic substances that can disrupt cellular function and lead to disease. The waste products are transported out of the cell and into the bloodstream where they are filtered and excreted by organs such as the kidneys.
Why do cells in organisms such as animals reproduce?
Answer: Cells in organisms such as animals reproduce to replace damaged or dying cells, and to enable growth and development. Reproduction ensures that the organism maintains the proper balance of cells and that there is enough tissue to perform necessary functions.
Explain how plant cells use photosynthesis to maintain homeostasis?
Answer: Plant cells use photosynthesis to maintain homeostasis by converting light energy into chemical energy in the form of glucose. This glucose is then used to produce ATP, which is necessary for cellular processes such as active transport and protein synthesis. Additionally, plants use photosynthesis to produce oxygen, which is necessary for respiration.
I hope this helps :)
(50 POINTS!!) The area of a square, in square units, is $38$ more than $10$ times the length of a side of the square, in units.
Find all possible values for the side length of the square.
Step-by-step explanation:
Area of a square = s x s and this equals 10 x s
this is :
s^2 = 10 s divide both sides of the equation by 's'
s = 10 units ( or zero....but that makes no sense)
Find the mean and variance of each of the random variables described below; each of parts a-o refers to a different random variable. c. P(X--5) = 1/4, P(X = 0) = 1 /2, P(X = 5) 1 /4. d. P(X =-5) = .01 , P(X 0) = .98, P(X = 5) = .01 e. P(X-_50) = .0001, P(X = 0) .9998, P(X = 50) = .0001. g. P(X =0)=1/2, P(X = 2) = 1/2. h, P(X = .01) = .01, P(X = 1.01) = .99.
c. The mean of the random variable X is calculated as:
mean(X) = (-5)(1/4) + (0)(1/2) + (5)(1/4) = 0
The variance of X is calculated as:
var(X) = (-5 - 0)^2(1/4) + (0 - 0)^2(1/2) + (5 - 0)^2(1/4) = 25/2
d. The mean of the random variable X is calculated as:
mean(X) = (-5)(.01) + (0)(.98) + (5)(.01) = 0
The variance of X is calculated as:
var(X) = (-5 - 0)^2(.01) + (0 - 0)^2(.98) + (5 - 0)^2(.01) = 50.25
e. The mean of the random variable X is calculated as:
mean(X) = (-50)(.0001) + (0)(.9998) + (50)(.0001) = 0
The variance of X is calculated as:
var(X) = (-50 - 0)^2(.0001) + (0 - 0)^2(.9998) + (50 - 0)^2(.0001) = 500
g. The mean of the random variable X is calculated as:
mean(X) = (0)(1/2) + (2)(1/2) = 1
The variance of X is calculated as:
var(X) = (0 - 1)^2(1/2) + (2 - 1)^2(1/2) = 1
h. The mean of the random variable X is calculated as:
mean(X) = (.01)(.01) + (1.01)(.99) = 1
The variance of X is calculated as:
var(X) = (.01 - 1)^2(.01) + (1.01 - 1)^2(.99) = .098
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The store sells a television for $1000. customers can choose to receive 10% discount and pay it off at a simple interest rate of 4% or they can choose to pay the full price and pay it off in 3 years with no interest. which option is better
Option 1 with the discount and 4% simple interest has a total cost of $972, while Option 2 with no discount and no interest has a total cost of $1000. Option 1 is the better choice as it has a lower total cost.
What is simple interest?Simple interest is a type of interest that is calculated on the original principal amount of a loan or investment. It is a fixed percentage of the principal amount that is paid by the borrower or earned by the lender over a specific period of time.
According to question:To compare the two options, we need to calculate the total cost of each option and compare them.
Option 1: 10% discount and pay off with 4% simple interest
The discount reduces the price of the television to $1000 x 0.9 = $900. If the customer chooses to pay it off at 4% simple interest, the total cost would be:
Total cost = $900 + ($900 x 0.04 x 3) = $972
Option 2: Full price and pay off in 3 years with no interest
The total cost of this option would be simply the full price of $1000 paid over 3 years, so:
Total cost = $1000 / 3 = $333.33 per year x 3 years = $1000
Comparing the two options, we see that Option 1 with the discount and 4% simple interest has a total cost of $972, while Option 2 with no discount and no interest has a total cost of $1000. Therefore, Option 1 is the better choice as it has a lower total cost.
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The complete question is: The store sells a television for $1000. customers can choose to receive 10% discount and pay it off at a simple interest rate of 4% or they can choose to pay the full price and pay it off in 3 years with no interest. which option is better?
Option 1 with the discount and 4% simple interest.
Option 2 with no discount and no interest.
divide aed 80 in the ratio 1:3 between anwar and noufal
please help!!
A government agency reported that one year, 21,013 people were treated for medical emergencies related to
energy drinks containing very high doses of caffeine. The table shows the age distribution for these patients.
What is the probability that a person treated for an energy drink-related emergency was under 40 given that
the person was at least 18 years old?
please help!!!
The probability that a person treated for an energy drink-related emergency was under 40 given that the person was at least 18 years old is approximately 0.550 or 55.0%.
What is the formula for probability?In general, probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in a sample space. Event probability P(E) = (number of favourable outcomes) (Sample space).
We must use conditional probability to determine the likelihood that a person treated for an energy drink-related emergency was under 40, given that the person was at least 18 years old.
We can use the following formula:
P(A | B) = P(A and B) / P(A and B) (B)
where A is the event "the person is under 40" and B is the event "the person is over 18".
According to the table, 11,146 people under the age of 40 and over the age of 18 were treated for energy drink-related emergencies. The total number of people over the age of 18 who have been treated for energy drink-related emergencies is 20,244.
So,
P(A, B) = 11,146
P(B) = 20,244
Therefore,
P(A and B) / P(B) = 11,146 / 20,244 0.550
So the probability that a person treated for an energy drink-related emergency was under 40 is approximately 0.550 or 55.0% if the person was at least 18 years old.
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Use Lagrange multipliers to find the points on the given cone that are closest to the following point.
z^2 = x^2 + y^2; (14, 8, 0)
x,y,z=(smaller z-value)
x,y,z=(larger z-value)
x,y,z=(smaller z-value)=(-56/3, -32/3, 16/3)
x,y,z=(larger z-value)=(56/3, 32/3, -16/3)
These are the points on the cone that are closest to the point (14, 8, 0).
What is a point?In a two-dimensional space, a point is defined by two coordinates, typically denoted by (x, y), where x represents the horizontal position, and y represents the vertical position. In a three-dimensional space, a point is defined by three coordinates, typically denoted by (x, y, z), where x, y, and z represent the horizontal, vertical, and depth positions, respectively.
According to question:We want to minimize the distance between the point (14, 8, 0) and the surface of the cone defined by the equation z² = x² + y², subject to the constraint that we stay on the surface of the cone.
Let f(x,y,z) = (x-14)² + (y-8)² + z² be the function we want to minimize subject to the constraint g(x,y,z) = z² - x² - y² = 0.
The Lagrange multiplier method involves finding the critical points of the function L(x,y,z,λ) = f(x,y,z) - λg(x,y,z), where λ is the Lagrange multiplier.
So we have:
L(x,y,z,λ) = (x-14)² + (y-8)² + z² - λ(z² - x² - y²)
Taking the partial derivatives with respect to x, y, z, and λ, and setting them equal to zero, we get the following system of equations:
2(x-14) + 2λx = 0
2(y-8) + 2λy = 0
2z - 2λz = 0
z² - x² - y² = 0
The third equation simplifies to z(1-λ) = 0, which gives us two possibilities:
Case 1: z = 0
In this case, the fourth equation becomes -x² - y² = 0, which implies that x = y = 0. But this point does not lie on the surface of the cone, so it is not a valid critical point.
Case 2: λ = 1
In this case, the first two equations become x-14 = -xλ and y-8 = -yλ, which imply that x = -7λ and y = -4λ. Substituting into the fourth equation gives:
z² = x² + y² = 65λ²
To minimize the distance between the point (14, 8, 0) and the surface of the cone, we want to find the value of λ that minimizes the function f(x,y,z) subject to the constraint g(x,y,z) = 0. Substituting x = -7λ, y = -4λ, and z = √(65λ²) into f(x,y,z), we get:
f(λ) = (7λ-14)² + (4λ-8)² + 65λ²
To minimize this function, we take its derivative with respect to λ and set it equal to zero:
f'(λ) = 30λ - 80 = 0
Solving for λ, we get λ = 8/3. Substituting this back into x = -7λ, y = -4λ, and z = √(65λ²), we get:
x,y,z=(smaller z-value)=(-56/3, -32/3, 16/3)
x,y,z=(larger z-value)=(56/3, 32/3, -16/3)
These are the points on the cone that are closest to the point (14, 8, 0).
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n+d=21
0.05n + 0.10d= 1.70
Answer:
To solve the system of equations:
n + d = 21 ---(1)
0.05n + 0.10d = 1.70 ---(2)
We can use the substitution method by solving for one variable in terms of the other from equation (1) and substituting it into equation (2).
Solving equation (1) for n:
n = 21 - d
Substituting this expression for n into equation (2):
0.05(21 - d) + 0.10d = 1.70
Distributing the 0.05:
1.05 - 0.05d + 0.10d = 1.70
Combining like terms:
0.05d = 0.65
Dividing both sides by 0.05:
d = 13
Substituting this value of d into equation (1):
n + 13 = 21
Solving for n:
n = 8
Therefore, the solution to the system of equations is n = 8 and d = 13.
Jo read 35 pages of a 250 page book. How much of a book has she read
Jo has read 14% of the book if she has read 35 pages of a 250 pages book.
If Jo has read 35 pages out of a 250-page book, we can calculate what percentage of the book she has read by dividing the number of pages she has read by the total number of pages and multiplying by 100:
Percentage of book read = (35 / 250) x 100%
Percentage of book read = 0.14 x 100%
Percentage of book read = 14%
Therefore, Jo has read 14% of the book. Percentage is a way of expressing a number as a fraction of 100. It is often used to describe the relationship between a part and a whole, where the part represents a portion of the whole. Percentages are commonly used in various fields, including mathematics, finance, and statistics, to measure changes or represent data in a more accessible format.
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A toy maker needs to make $17,235 per month to meet his cost. Each toy sells for $45. How many toys does he need to sell in order to break even
Answer:
Step-by-step explanation:
i assume the figure he needs to "make" is the turnover and not the marginal profit - no indication of the cost of the toys he sells is given so it is impossible to work out the marginal profit of the each toy sold. (Though how the toymaker worked out the turnover required without knowing the cost of the toy is beyond me - though that didn't stop British Leyland pricing their best selling Mini in the 1970s.)
In this case divide the income required by the price of each toy, but as the income must be at least the required amount, any fractional part of a toy must be rounded *UP* to the next whole number.
17,235 ÷ 45 = 383 (so no rounding is needed).
He needs to sell 383 toys (made at zero marginal cost).
smart mugs are the next generations of hot drinks dispensers tha om with built in technology to keep drinks at the perfect temperature for hours on end initial cost of a smart mug was aed 896, because of high demand in market the cost increased by 12% find the new price of the mug
PLS QUICK ITS DUE 1 HOUR!!
With a [tex]12[/tex]% price rise, the smart mug now costs AED [tex]1003.52[/tex].
Price and sell price: what are they?The sale price is the price an user pays to purchase a thing or a commodity. It is a cost that is higher than the market cost and also includes a portion of the profit. The cost price refers to the price paid by the seller for the item or service.
How would you define price?Price is the process of figuring out how much a something or service is worth. Price establishes a customer's cost, although it can or cannot be linked to the price a firm pays to manufacture a good or service.
We need to multiply the initial price by [tex]1.12[/tex] which represents a [tex]12[/tex]% increase in decimal form,
New price [tex]=[/tex] Initial price [tex]*[/tex] (1 [tex]+[/tex] Percent increase in decimal form)
New price[tex]= 896 * (1 + 0.12)[/tex]
New price [tex]= 896 * 1.12[/tex]
New price [tex]= 1003.52[/tex]
Therefore, the new price of the smart mug is AED [tex]1003.52[/tex] after a [tex]12[/tex]% increase.
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Solve each system of equations algebraically. y=x + 15, y= 2x
The solution to the system of equations is (15, 30).
What is system of equations?A group of two or more equations that must be solved all at once is known as a system of equations. The system's equations each show how two or more variables relate to one another. The variables' values that satisfy every equation in the system can be discovered using algebraic techniques.
Algebraic systems of equations can be solved using a variety of techniques, such as substitution, elimination, and graphing. The substitution approach involves solving one equation for one variable in terms of the other variable, and then substituting the result for that variable's expression into the other equation.
The given system of equations are y=x + 15, y= 2x.
Substitute the value of y from equation 2 in equation 1:
x + 15 = 2x
15 = x
Substitute the value of x to get the value of y:
y = 2x = 2(15) = 30
Hence, the solution to the system of equations is (15, 30).
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18 ft
14 ft
Find the area.
10 ft
Remember: A = πr²
A = [?] ft²
Round to the nearest
hundredth.
Use 3.14 for T.
The area of the given shape is 109.25 ft² .
What is Area?
Area is a measurement of the amount of space inside a two-dimensional figure or shape. It is the size of the surface of the shape, and it is measured in square units, such as square meters, square centimeters, or square inches.The area of a shape can be found by multiplying the length and width of a rectangle or the base and height of a triangle, or by using specific formulas for other shapes such as circles, trapezoids, or parallelograms
Given : height of triangle = diameter of semicircle = 10 ft
radius of semicircle = 5 ft
base of triangle = 14 ft
we know that, The area of given shape :
= area of given triangle + area of semi circle
= 1/2 × base × height + πr²/2
= 1/2 × 14 × 10 + (3.14 × 5²)/2
= 70 + 39.25
= 109.25 ft²
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Denisha has already read 42 pages
novel for her English class. For the rest of
the month, she plans to read 24 pages
every 3 days. What is the constant rate of
change in this situation?
A.
page per day
B. 6 pages per day
C. 8 pages per day
D. 24 pages per day
Answer:
B.6 pages per day
The 1-mile relay team has a goal to run a
mile in 4 minutes. The first three runners
have run their laps in 57.38 seconds,
60.92 seconds, and 58.47 seconds. What
is the greatest time that the fourth runner
can run for the team to reach its goal?
Answer:
Proofs attached to answer
Step-by-step explanation:
Proofs attached to answer
The greatest time that the fourth runner can run for the team to reach its goal is 63.23 seconds.
Explanation:To find the greatest time that the fourth runner can run for the team to reach its goal, we need to subtract the total time of the first three runners from the goal time of 4 minutes (240 seconds).
Total time of the first three runners = 57.38 seconds + 60.92 seconds + 58.47 seconds = 176.77 seconds
Greatest time the fourth runner can run = Goal time - Total time of the first three runners = 240 - 176.77 = 63.23 seconds
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2/5 - 4 1/8 / (-2 1/4)
Step-by-step explanation:
let's first transform these terms into real fractions :
2/5 = 2/5
4 1/8 = (4×8 + 1)/8 = 33/8
2 1/4 = (2×4 + 1)/4 = 9/4
first we need to handle the division (remember the priorities of arithmetic operations) :
-33/8 / -9/4 = (-33×4) / (-9×8) = 33 / (9×2) = 33/18
then we have to calculate
2/5 + 33/18
to do that we have to bring both fractions to the same denominator (must be divisible by 18 and by 5, so in this case it is 5×18 = 90) :
2/5 = 2/5 × 18/18 = 36/90
33/18 = 33/18 × 5/5 = 165/90
so,
36/90 + 165/90 = 201/90 = 67/30 = 2 7/30
I am too lazy to search it up on brainly tell me what is the answer
Answer:
no lol im too lazy
Step-by-step explanation:
give me brain
Answer:
x = 9/10.
Step-by-step explanation:
0.5(4x + 9) = 3x * 7/3
2x + 9/2 = 3x * 7/3
2x + 9/2 = 7x
5x = 9/2
x = 9/10.
PLEASE HELP!!!
The population of a town increases by 3% each year. If its population today is 25,000, what will its population be in 5 years?
A 25,000 (1.03)
B 25,000-(1.03)5
25,000-(0.03)
25,000 (1.03) - (5)
The population of the town in 5 years will be approximately 28,982.
What is exponential growth?A data pattern known as exponential growth exhibits faster expansion over time. Compounding generates exponential profits in finance. Exponential growth is possible in savings accounts with a compounding interest rate. Compound returns in finance lead to exponential development. One of the most potent forces in finance is the power of compounding. With the help of this idea, investors may generate sizable sums with little start-up money. Compound interest savings accounts are typical instances of exponential development.
Given that, population of a town increases by 3% each year.
The population after 5 years is calculated by:
Population in 5 years = Initial population x (1 + rate) raised to time.
That is,
Population in 5 years = 25,000 x (1 + 0.03)⁵
Population in 5 years = 25,000 x 1.159274
Population in 5 years = 28,981.85
Hence, the population of the town in 5 years will be approximately 28,982.
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there are 20 rows of seats on a concert hall: 25 seats are in the 1st row, 27 seats on the 2nd row, 29 seats on the 3 rd row, and so on. if the price per ticket is $32, how much will be the total sales for a one-night concert if all seats are taken?
Answer:
Step-by-step explanation:
To solve this problem, we need to find out how many seats there are in total, and then multiply that by the price per ticket.
To find the total number of seats, we need to add up the number of seats in each row. We can use the formula for an arithmetic sequence to do this:
S = n/2 * (a + l)
where S is the sum of the sequence, n is the number of terms, a is the first term, and l is the last term.
In this case, we have:
n = 20 (since there are 20 rows)
a = 25 (since there are 25 seats in the first row)
d = 2 (since the difference between each row is 2 seats, the common difference is 2)
We can use d to find the last term as well:
l = a + (n-1)*d
l = 25 + (20-1)*2
l = 25 + 38
l = 63
Now we can plug these values into the formula:
S = 20/2 * (25 + 63)
S = 10 * 88
S = 880
So there are 880 seats in total.
To find the total sales, we just need to multiply by the price per ticket:
total sales = 880 * $32
total sales = $28,160
Therefore, the total sales for a one-night concert with all seats taken would be $28,160.
How many more students slept 4 – 7 hours than 12 – 15 hours?
There were 8-1 = 7 more students who slept for 4-7 hours than for 12-15 hours.
In a survey conducted by Mr. Hamilton, he asked his class about the total number of hours they slept the previous night. The histogram provided in the question shows the distribution of their responses. To find out how many more students slept for 4-7 hours than 12-15 hours, we need to count the number of bars in the 4-7 hours range and subtract it from the number of bars in the 12-15 hours range. By counting the bars in the histogram, we can see that there are 9 bars in the 4-7 hours range and 4 bars in the 12-15 hours range. Therefore, there were 5 more students who slept for 4-7 hours than 12-15 hours.
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Complete question:
Mr. Hamilton surveyed his class to find the total number of hours each of his students slept the previous night. The histogram shows the results of the survey. How many more students slept 4 – 7 hours than 12 – 15 hours? Amount of Sleep Mr: Hamilton surveyed his class to find the total number of hours each of his students slept the previous night The histogram shows the results of the survey: How many more students slept 4 ~ 7 hours than 12 15 hours? L 0 -3 8 _ [1 12 - 15 submit Time (hours)'
Sugar Shack gourmet candy shop’s signature candy mixture contains sour drops, chocolate chews, and tangy twists in the ratio 2:3:4, respectively. How many more pounds of tangy twists than sour drops are in a 45-pound batch of this signature candy mixture?
Since Sour Drops, Chocolate Chews and Tangy Twists are in the ratio 2:3:4, respectively, it follows that Sour Drops account for 2/9 and Tangy Twists account for 4/9 of the candy mixture. So, Sour Drops make up (2/9)(45) = 2 × 5 = 10 pounds, while Tangy Twists make up (4/9)(45) = 4 × 5 = 20 pounds of the 45-pound candy mixture. Therefore, there are 20 – 10 = 10 pounds more Tangy Twists than Sour Drops. Alternatively, the given ratio means that Tangy Twists account for 4/9 – 2/9 = 2/9 more of the candy mixture than Sour Drops do. So, in a 45-pound batch of the candy mixture, there would be (2/9)(45) = 2 × 5 = 10 pounds more Tangy Twists than Sour Drops.
Nyelle purchases some Sour Drops, Chocolate Chews and Tangy Twists to combine into her personal batch of the Sugar Shack’s signature candy mixture using the same proportions as the previous problem. If the prices per pound for the candies are $6.00 for Sour Drops, $3.50 for Chocolate Chews and $4.25 for Tangy Twists, what is the total cost (not including tax) to purchase the exact amounts of all three candies required to make 4.5 pounds of this signature candy mixture?
Again, since Sour Drops, Chocolate Chews and Tangy Twists are in the ratio 2:3:4, respectively, it follows that Sour Drops, Chocolate Chews and Tangy Twists account for 2/9, 3/9 = 1/3 and 4/9 of the candy mixture, respectively. So, to make 4.5 pounds of this candy mixture, Nyelle needs (2/9)(4.5) = 2 × 0.5 = 1 pound of Sour Drops, (1/3)(4.5) = 1.5 pounds of Chocolate Chews and (4/9)(4.5) = 4 × 0.5 = 2 pounds of Tangy Twists. At the given prices per pound, we calculate Nyelle’s total cost to be 1(6.00) + 1.5(3.50) + 2(4.25) = 6 + 5.25 + 8.50 = $19.75.
Rae purchases 4.5 pounds of the signature candy mixture when it goes on sale at the Sugar Shack for $4.00 per pound. What is the absolute difference between Nyelle’s and Rae’s total costs (not including tax) to get 4.5 pounds of the signature candy mixture?
At a sale price of $4.00 per pound, 4.5 pounds of the candy mixture would cost Rae 4.5(4.00) = $18.00. From the previous problem, we know that Nyelle’s total cost was $19.75. Therefore, the absolute difference between Nyelle’s and Rae’s total costs is 19.75 – 18.00 = $1.75.
I need to solve this and I have to show my work please help
Step-by-step explanation:
6x - 2 = 4x + 36
2x - 2 = 36
2x = 38
x = 19
4*19 + 36= 76 + 36= 112
180-112= 68
m<N= 68 degrees
The product of 3 positive numbers is equal to 12. Of these 3positive numbers, n are not integers. Which of the following is acomplete list of the possible values of n ?a) 0,1b) 1,2c) 3, 4,5d) 0, 1,2,3
The possible values of n are 1 and 2, as there can be two non-integer positive numbers whose product is equal to 12. Option B is correct.
All the possible ways to express 12 as a product of three positive numbers:
1 x 2 x 6
1 x 3 x 4
To identify which products have two non-integer factors.
From the above list, we see that only the first product, 1 x 2 x 6, has two non-integer factors (2 and 6).
From the following complete list of the possible values of n if the product of 3 positive numbers is equal to 12 and 3 positive numbers of n are not integers then answer is option (b) 1, 2.
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prove that g(x)= 2x^6-x^2+4 is an even function
We can also check this by graphing the function, which would show us the symmetry about the y-axis.
What is function?In mathematics, a function is a relation between a set of inputs and a set of possible outputs with the property that each input is associated with exactly one output. This means that for every value of the input, there is a unique corresponding value of the output.
by question.
To prove that a function is even, we need to show that it satisfies the property:
g(-x) = g(x) for all x in the domain of g.
So, let's substitute -x for x in g(x) and simplify:
g(-x) = 2[tex](-x)^{6}[/tex] - [tex](-x)^{2}[/tex] + 4
= 2[tex]x^{6}[/tex] -[tex]x^{2}[/tex] + 4
Notice that we obtained the same expression as g(x), which means that g(x) is even. Therefore, we can write:
g(x) = g(-x)
This means that the graph of the function is symmetric with respect to the y-axis, since for any value of x, the value of g(x) is the same as the value of g(-x).
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a committee of 7 members is to be chosen from 6 artists, 4 singers and 5 writers. in how many ways can this be done if in the committee there must be at least one member from each group and at least 3 artists ?
There are 1124 ways to choose a committee of 7 members with at least one member from each group and at least 3 artists.
Here, we have to solve this problem, we can use the concept of combinations, which involves counting the ways to choose a specific number of items from a larger set without regard to the order of selection.
Given the conditions that at least one member must be chosen from each group (artists, singers, writers) and there must be at least 3 artists, we can break down the problem into cases.
Case 1: Choosing 1 artist, 1 singer, and 5 members from the remaining groups (writers).
Case 2: Choosing 2 artists, 1 singer, and 4 members from the remaining groups (writers).
Case 3: Choosing 3 artists, 1 singer, and 3 members from the remaining groups (writers).
For each case, we will calculate the number of ways to choose members and then sum up the results from all three cases to get the total number of ways.
Let's calculate the number of ways for each case:
Case 1:
Number of ways to choose 1 artist: 6C1 (6 ways)
Number of ways to choose 1 singer: 4C1 (4 ways)
Number of ways to choose 5 writers: 5C5 (1 way)
Total ways for case 1: 6C1 * 4C1 * 5C5 = 6 * 4 * 1 = 24
Case 2:
Number of ways to choose 2 artists: 6C2 (15 ways)
Number of ways to choose 1 singer: 4C1 (4 ways)
Number of ways to choose 4 writers: 5C4 (5 ways)
Total ways for case 2: 6C2 * 4C1 * 5C4 = 15 * 4 * 5 = 300
Case 3:
Number of ways to choose 3 artists: 6C3 (20 ways)
Number of ways to choose 1 singer: 4C1 (4 ways)
Number of ways to choose 3 writers: 5C3 (10 ways)
Total ways for case 3: 6C3 * 4C1 * 5C3 = 20 * 4 * 10 = 800
Now, add up the total ways from all three cases:
Total ways = 24 + 300 + 800 = 1124
So, there are 1124 ways to choose a committee of 7 members with at least one member from each group and at least 3 artists.
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CAN SOMEBODY HELP ME FACTOR AS THE PRODUCT OF TWO BINOMIALS
x²- x- 42
Answer:
(x-7)(x+6)
factor and see what works
Two angles of an irregular polygon are 100⁰
each and each of the remaining angles is 1300.
Find the number of sides of the polygon.
there is no polygon that satisfies the given conditions.
Why it is and what is a Polygon?
Let the number of sides of the polygon be n.
We know that the sum of angles of an n-sided polygon is (n-2) × 180 degrees.
In this polygon, two angles are 100 degrees each, and the remaining (n-2) angles are 130 degrees each.
So, we can set up an equation:
2 × 100 + (n-2) × 130 = (n-2) × 180
Simplifying this equation, we get:
200 + 130n - 260 = 180n - 360
Solving for n, we get:
50n = 100
n = 2
However, a polygon with only 2 sides is not possible.
Therefore, there is no polygon that satisfies the given conditions.
A polygon is a 2-dimensional geometric figure that is formed by connecting a finite number of line segments to create a closed shape. These line segments are called sides of the polygon. The sides of a polygon only intersect at their endpoints, and the endpoints of each side are called vertices. A polygon with three sides is called a triangle, a polygon with four sides is called a quadrilateral, and a polygon with more than four sides is generally referred to by its number of sides (e.g. a pentagon has five sides, a hexagon has six sides, etc.).
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