Answer:
Step-by-step explanation:
Craig left his house at noon and drove 50 miles per hour until 3PM. Then he drove the next 5 hours at 70 miles per hour. Calculate the average rate of change for the entire trip.
A recycling center pays $0.10 per aluminum can and $0.05 per plastic bottle. The Cheerleading squad wants to raise $500. Let x represent aluminum cans and y represent plastic bottles. Use this description to answer all questions in this section.
Question:
(a) Write a linear equation that describes the problem
(b). If the cheerleading squad collects 6000 plastic bottles, how many cans will it need to collect to reach the goal?
Answer:
a. [tex]0.10x + 0.05y = 500[/tex]
b. 2000 cans
Step-by-step explanation:
We have the following:
[tex]Cost = \$0.10[/tex] per aluminum
[tex]Cost = \$0.05[/tex] per plastic bottle
[tex]Total = \$500[/tex]
Solving (a): The linear equation.
If 1 aluminum can costs $0.10,
x cans would cost $0.10x
If 1 plastic bottle costs $0.05,
y bottles would cost $0.05y
Total Cost:
[tex]Aluminum + Plastic = Total[/tex]
[tex]0.10x + 0.05y = 500[/tex]
b.
If y = 6000.
Solve for x
We have:
[tex]0.10x + 0.05y = 500[/tex]
Substitute 6000 for y
[tex]0.10x + 0.05* 6000 = 500[/tex]
[tex]0.10x + 300= 500[/tex]
Collect Like Terms
[tex]0.10x = 500 - 300[/tex]
[tex]0.10x = 200[/tex]
Solve for x
[tex]x = 200/0.10[/tex]
[tex]x = 2000[/tex]
How many bags of fertilizer are needed to fertilize a yard measuring 60 feet by 80 feet if one bag will cover 100 square feet
E3: Amab sells an article to Vivek at a profit of 15% and Vivek sells it to
Sagar at a profit of 10%. If Sagar pays 35060 for the article, what was its
cost price?
Answer:
the cost price is 27,715
Step-by-step explanation:
Let the cost price be x
As Amab sells to Vivek at 15% profit
So the selling price be
= 115 ÷ 100 × x = 1.15x
And Vivek sells to sagar at a profit of 10%
= 1.15x × 110 ÷ 100
= 1.265x
Now sagar pays it for 35,060
So , the cost price be
1.265x = 35,060
x = 27,715
Hence, the cost price is 27,715
Which equation would help you find the missing side length in the right triangle shown?
Lin's job pays $8.25 an hour plus $10 of transportation allowance each week. She has to work at least 5 hours a week to keep the job, and can earn up to $175 per week (including the allowance). Represent this situation mathematically in two inequalities. Let `x` represent the number of hours Lin works in a week.
Answer:
10000
Step-by-step explanation:
The temperature is 4 °C at 6 a.m. and rises 13 °C by midday.
What is the temperature at midday?
Answer:
17°C
Step-by-step explanation:
temperature rises by 13, so the temperature will be 4+13 = 17°C
The difference btwn increasing a number by 20% and decreasing the same number by15% is 14 what is the number?
Answer:
The number is:
[tex]n = 40[/tex]Step-by-step explanation:
Let 'n' be the number
Increasing a number by 20% = (n + n×20/100)Decreasing a number by 14% = (n - n×15/100)As the difference between increasing a number by 20% and decreasing the same number by15% is 14.
Thus, the expression becomes
[tex]\left(n\:+\:\frac{n}{5}\right)\:-\:\left(n\:-\:\frac{3n}{20}\right)\:=\:14[/tex]
[tex]n+\frac{n}{5}-n+\frac{3n}{20}=14[/tex]
[tex]\frac{7n}{20}=14[/tex]
Multiply both sides by 20
[tex]\frac{7n}{20}\cdot \:20=14\cdot \:20[/tex]
[tex]7n=280[/tex]
Divide both sides by 7
[tex]\frac{7n}{7}=\frac{280}{7}[/tex]
[tex]n=40[/tex]
Thus the number is:
[tex]n = 40[/tex]If the selling price for laptop is $1100 and is marked down by 30% in promotional offers, then sale price after discount is
The students at Southern Junior High School are divided into four homerooms. Benjamin just moved into the school district and will be randomly assigned to one homeroom.
Which methods can be used to simulate this situation? Select three options..
Flip a coin 4 times, once for each homeroom, with heads up representing being assigned to the homeroom represented by that flip.
Draw a marble from a bag containing 5 white marbles, 5 black marbles, 5 red marbles, and 5 green marbles, with each color representing a different homeroom.
Use a random number generator with 1, 2, and 12 representing the first homeroom, 7, 9, and 10 representing the second homeroom, 3, 8, and 11 representing the third homeroom, and 4, 5, and 6 representing the fourth homeroom.
Roll a number cube with 1 representing the first homeroom, 2 representing the second homeroom, 3 representing the third homeroom, and any other outcome representing the fourth homeroom.
Spin a spinner with 8 congruent sections with 2 sections assigned to each homeroom.
will give 100 points for answer it'd better be correct though
Answer:
Step-by-step explanation:
Roll a number cube with 1 representing the first homeroom, 2 representing the second homeroom, 3 representing the third homeroom, and any other outcome representing the fourth homeroom.
Flip a coin 4 times, once for each homeroom, with heads up representing being assigned to the homeroom represented by that flip.
Draw a marble from a bag containing 5 white marbles, 5 black marbles, 5 red marbles, and 5 green marbles, with each color representing a different homeroom.
Spin a spinner with 8 congruent sections with 2 sections assigned to each homeroom.
Answer:
B. Draw a marble from a bag containing 5 white marbles, 5 black marbles, 5 red marbles, and 5 green marbles, with each color representing a different homeroom.
C. Use a random number generator with 1, 2, and 12 representing the first homeroom, 7, 9, and 10 representing the second homeroom, 3, 8, and 11 representing the third homeroom, and 4, 5, and 6 representing the fourth homeroom.
E. Spin a spinner with 8 congruent sections with 2 sections assigned to each homeroom.
Step-by-step explanation:
I just did the test and got this correct.
(please mark brainliest)
Have a good day!
A government estimates the cost to design new radar technology over a period of $m$ months. The government estimates $840,000 for equipment, $15,000 for software, and $40,000 per month for wages. Use an algebraic expression to find the total cost the government estimates when the project takes 16 months to complete.
Answer:
$1,495,000
Step-by-step explanation:
From the above, we can infer that the first two costs for equipment and software are fixed cost, while wages is the cost that is influenced by the number of months (m).
The above implies that we would multiply number of months 'm' with $40,000.
= 840,000 + 15,000 + 40,000m
Where month (m) = 16
= 840,000 + 15,000 + 40,000(16)
= 840,000 + 15,000 + 640,000
= $1,495,000
Therefore, the total cost is $1,495,000
PLEASE HELP VERY URGENT!!!!!!!!!!!!!!!
Simplify (5 ^1/3)^3
A. 5
B. 5^9
C. 1/5
D. 5^3
Answer:
A) 5
Step-by-step explanation:
(5^(1/3))^3=5^(1/3*3)=5^(3/3)=5^1=5
WILL GIVE BRAINLIEST a card is picked from the following card find the probability that the card drawn is purple
Answer: 2/7
Step-by-step explanation: if there are 7 cards and two of them are purple, we can show this as 2/7
what is an equetion of the line that paraell to y=3x - 8and passes through the point[4,-5]
Answer:
-2.5 I THINK
Step-by-step explanation:
HELPP ME PLEASEEEEEE
Answer:
4
Step-by-step explanation:
=1/2×8
=4
Hope this helps u....
Answer:
1/2 ÷1/8
i.e 1/2×8
= 2÷8=4
Find the exact length of the third side.
Answer:
x = √51
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Pythagorean Theorem: a² + b² = c²Step-by-step explanation:
Step 1: Define
Leg a = x
Leg b = 7
Hypotenuse c = 10
Step 2: Solve for x
Substitute: x² + 7² = 10²Isolate x term: x² = 10² - 7²Exponents: x² = 100 - 49Subtract: x² = 51Isolate x: x = √51plz help me on math
The total weight
of 25 books is 125
pounds. How many
pounds would 70
books weigh?
70 / 25 = 2.8
125 * 2.8 = 350
therefore 70 books would be 350 pounds
help me pleaseeeee!!!
Answer:
1. distribution property
2. subtraction property
3. division property
Step-by-step explanation:
Answer:
Try division property
Find the slope of the line that contains the points named.
X(2, -1), Y(0, 4)
Answer:
- 4/3 0r - 1 1/3 0r - 1.33333333 ( the 3 keeps repeating)
Step-by-step explanation:
I would suggest to use a table so....
x y
2 0
-1 4
from 0 to 4 you add 4
from 2 to -1 you subtract 3
so y/x
4/-3 = - 1 1/3 or - 1.333333
Hope this helped a little!
Answer:
actually the answer is -5/2
Step-by-step explanation:
Assume the average child weighs 40 pounds at age 3. Assume the
average child weighs 70 pounds at age 6. What is the average number of
pounds the child gains per year between ages 3 and 6?
Answer:
10 i think
Step-by-step explanation:
Answer: 10 pounds per year
The given unit rate is 30 pounds every 3 years.
Now, we will divide 30 pounds by 3 years.
30 pounds ÷ 3 years = 10 pounds per year
The answer is 10 pounds per year.
Two stores have movies to rent.
The first store charges a $5 per-month membership fee plus $2.50 per movie rented.
The second store has no membership fee but charges $3.50 per movie rented.
How many movies would you have to rent in order for the cost to be the same at both stores?
Answer: 5 +2.5n=3.5n You need to calculate n.
Step-by-step explanation:
HELPPPPPPP PLEASEEEE PLEASEEEE PLEASEEEE PLEASEEEEE PLEASEEEEE
Answer:
1. quadrant 3
2. quadrant 2
3. L (-1,2) M (-3,1) N (-2,5)
4. L (3,0) M (1,-1) N (2,3)
Answer:
1. Quadrant III
2. Quadrant II
L=(-1,2) M=(-3,1) N=(-2,5)
3. L=(3,-4) M=(1,-3) N=(2,-7)
Step-by-step explanation:
Hopes you can help me.
happy holidays. Okay Byeeee.
Merry XMAS.
Question in the above attachment.
Answer:
its b bit.3-4√5let as assume on the contrary that 3-4√5 is rational.3-4√5 = p/q ( p and q are integers )4√5 = p/q - 34√5 = p - 3q /q √5 = p - 3q / 4q............... see image plz........merry Christmas....A LITTLE HELP HERE PEOPLE BTW IF UR RIGHT BRAINLIST IT IS........
Complete an error analysis for each of the questions below.
Answers:
1) The errors that were made in this expression are that [tex](-\frac{1}{4})[/tex] was converted to [tex](-\frac{1}{12})[/tex] incorrectly when it’s supposed to convert to [tex](-\frac{3}{12})[/tex], [tex]\frac{2}{3}[/tex] was also converted to [tex]\frac{2}{12}[/tex] incorrectly when it’s supposed to convert to [tex]\frac{8}{12}[/tex], an order of operations step was done wrong when [tex](-\frac{1}{12})+\frac{2}{12}[/tex] were added, but they are not supposed to be added since the brackets are supposed to be done first, and another order of operations step was done wrong when [tex]\frac{1}{12}[/tex] ÷ [tex]\frac{1}{3}[/tex] were divided, but they are not supposed to be divided because the brackets were removed when they’re supposed to be kept and solved first.
2) The errors that were made in this expression are that an order of operations step was done wrong when [tex]-\frac{15}{40} -\frac{32}{40}[/tex] were subtracted, but they are not supposed to be subtracted since multiplication or division is supposed to be solved first than subtraction or addition, [tex](-\frac{4}{5} )[/tex] was not flipped when the symbol was changed from division to multiplication when it’s supposed to change to [tex](-\frac{5}{4} )[/tex], and another order of operations step was done wrong when [tex]\frac{3}{10}[/tex] × [tex](-\frac{4}{5})[/tex] were multiplied, but they are not supposed to be multiplied because [tex]-\frac{47}{40}[/tex] × [tex]\frac{3}{10}[/tex] are supposed to be solve first since the expression needs to be solved from left to right.
Now create two of your own showing common errors that are made, and explain why you think these are the common errors:
In the image below ↓
helpmepleasethankyou:)
Answer:
Step-by-step explanation:
If we take 1 cup of Original purple paint,
Ratio of blue and red paint = 2 : 3
Quantity of blue paint in 1 cup of the mixture = [tex]\frac{2\times (1)}{(2+3)}[/tex] = 0.4 cups
Similarly, ratio of blue and red paint in the New purple paint = 5 : 7
If we take 1 cup of New purple paint,
Amount of blue paint in 1 cup = [tex]\frac{5\times 1}{(5+7)}[/tex] = 0.42 cups
Therefore, shade of both the mixtures will not be same.
Since, blue color is more in quantity in New purple paint, it will be more blue than Original purple paint.
PLEASE helppppp!!!
A group of students and teachers are going on a field trip. One-ninth of the group will fit on 1/3 of a school bus. How many buses are needed to transport the entire group?
Answer:
3 buses
Step-by-step explanation:
Total number of students=1
1/9 =1/3of the school bus
1=?
(1*1/3)÷(1/9)= 3 buses
2. What is the balance after 15 years in a savings account that earns 2% interest compounded bimonthly when the
initial deposit is $1000?
O $1300.50
N.
O $1020.11
O $1012.52
O $1348.07
Answer:
You deposit $1000 in a savings account that earns ... Balance at. End of Year. = Principal + Annual. Interest. = $1000 + $1000(0.06) ... balance in an account that earns interest compounded annually after t years. P = Principal (initial deposit) ... 15. 4.8. —. 12. 16. 268.68 ⋅72. 17. MULTIPLE CHOICE Which graph represents ...
Step-by-step explanation:
simplify 1000^8 = 10^w
Answer: 24
i got the same question
Ava buys a book for $8.85 .she pays $10 bill.How much chang will see get?
Given:
Ava buys a book for $8.85 .
She pays $10 bill.
To find:
The amount of change she will get.
Solution:
We have,
Price of book = $8.85
Amount she pays = $10
Now,
Amount of change = Amount she pays - Price of nook
Amount of change = $10 - $8.85
Amount of change = $1.15
Therefore, she will get $1.15 as change.
Answer:
1.15
Step-by-step explanation: