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|| ▼ Answer ▼ ||
4.9 miles
|| ✪ Solution ✪ ||
Step 1:
In this question, we are given the following:
Josiah wants to ride his bicycle 42.5 miles this week.
He has already ridden 18 miles. If he rides for 5 more days,
what is the average number of miles he would have to ride each day to meet his goal?
Step 2:
The details of the solution are as follows:
Total distance = 42. 5 miles
Distance ridden = 16 miles
Number of days left = 5 days
Let the number of miles that'll be ridden for each day be represented by x.
Hence, we have that,
[tex]5x+18=42.5[/tex]
[tex]5x=42.5-18[/tex]
[tex]5x=24.5[/tex]
Divide both sides by 5 we have that,
[tex]x=\frac{24.5}{5}[/tex]
[tex]x=4.9[/tex]
CONCLUSION:
The average number of miles he would have to ride each day to meet his goal = 4.9 miles
Hope this helps!
If you have any questions please ask.
The required average miles for him to ride for 5 days is 4.9 miles per day.
Given that,
Josiah wants to ride his bicycle 42.5 miles this week. He has already ridden 18 miles.
he rides for 5 more days, what is the average number of miles he would have to ride each day to meet his goal is to be determined
The average of the values is the ratio of the total sum of values to the number of values.
Here,
Josiah wants to ride his bicycle for a total of 42.5 miles,
he rides for 18 miles by now,
Remaining miles to ride = 42.5 - 18 = 24.5 miles
For 5 day is must ride for average = 24.5 / 5 = 4.9 miles per day.
Thus, the required average miles for him to ride for 5 days is 4.9 miles per day.
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You deposit $750 into a bank account. The bank pays a simple interest rate of 3%. How much interest have you earned
after three years?
Answer:
You have earned $67.50
Step-by-step explanation:
Since we are working with simple interest, we will use this formula:
[tex]I=Prt[/tex],
where P represents the principal amount (your deposit), r represents the rate as a decimal, and t represents the time in years. First, we need to rewrite our interest as a decimal by dividing 3% by 100:
[tex]3\div 100 = 0.03[/tex]
Now, we also know the values of P and t from the problem:
[tex]P=750\\r=0.03\\t=3[/tex]
We can substitute those values into the formula:
[tex]I=750(0.03)(3)\\I=67.5[/tex]
In context, that means you earned $67.50 in interest.
Many utility companies promote energy conservation by offering discount rates to consumers who keep their energy usage below certain established subsidy standards. A recent report notes that 20% of island residents of a country have reduced their electricity usage sufficiently to qualify for discounted rates. If five residential subscribers are randomly selected from a city on this island find the probability of each of the following events.
a. All five qualify for the favorable rate
b. At least four qualify for the favorable rates
Answer: a. 0.00032 B. 0.00672
Step-by-step explanation:
Given: Proportion of island residents of a country have reduced their electricity usage (p) = 20%= 0.20
Here, residents have two choices either reduced electricity usage or not , hence it follows binomial distribution
Let X be a binomial variable that represents the number of successes .
Binomial distribution formula:
[tex]P(X)=^nC_xp^x(1-p)^{n-x}[/tex], n= sample size.
a.
[tex]P(X=5) = ^5C_5(0.20)^5(1-0.20)^{5-5}=(1)(0.20)^5(1)\\\\=0.00032[/tex]
b. [tex]P(X\geq4)=P(4)+P(5)[/tex]
[tex]^5C_4(0.20)^4(1-0.20)^{5-4}+0.00032\\\\=(5)(0.20)^4(0.80)+0.00032\\\\=0.0064+0.00032\\\\=0.00672[/tex]
Need help please
TEST tomorrow
Answer:
you need to use the midpoint formula
Answer:
MN is [-3,2] sorry but not really sure about this because they are just two points and don't seem as segment.But when it asks for MN I don't know what to say else.
and midpoint of MN is -1/2
because
x=(x1+x2)/2=(-3+2)/2=-1/2
Need help quick!!
WILL GIVE BRAINLIEST
Answer:
3 and 4 x=25, y=29
Step-by-step explanation:
If you need a step by step explanation, I will edit this later.
solve for X (step by step please)
3 (x - 2) = 4x + 2
[?]x - [ ] = 4x + 2
Question
A sportswear manufacturer is introducing a new line of sneakers. To introduce the new line, the company must pay out a
fixed cost of $1.5 million for advertising and equipment, plus there is a cost of 40 cents per pair of sneakers manufactured.
It plans to sell the sneakers for $75 per pair.
Let x be the number of pairs of sneakers manufactured. If the firm only manages to sell 15, 000 sneakers, what is the total
loss?
Step-by-step explanation:
1.5 mill + 40 cent per
sell for 75 per
change numbers
1, 500, 000 + 4 per
sell for 75 per
x = each sneaker
1, 500, 000 + 4 x
sell for 75 x
we want to sell 15, 000
put 15, 000 where x is
1, 500, 000 + 4 (15, 000)
sell for 75 (15, 000)
1, 500, 000 + 4 × 15, 000 = 1, 560, 000
sell for 75 × 15, 000 = 1125000
minus the amount to make sneakers from amount getting for the sneakers
loss = ?
answer in comments
please mark brainest
A bike costs $650.00. Then it is marked down 35%
What is the final sale price of the bike?
PLEASE ANSWER QUICKLY
Answer:
$422.50
Step-by-step explanation:
If the bike is marked down by 35% then the final sale price will be 65% of the original price (since 100% - 35% = 65%).
Convert 65% into a decimal: 65% = 65/100 = 0.65
Therefore, 65% of $650 = 0.65 × 650 = $422.50
We need first mark downed amount
[tex]\\ \rm\Rrightarrow 0.35(650)=227.5[/tex]
Marked down price
650-227.5=422.5[/tex]NO LINKS!!
The length of a rectangle is 5 less than twice the width. What values of the width will make the area less than 150 square feet? Define your variable(s). Write inequalities that could be used to solve this problem. Then solve the problem.
Answer: Anything between 0 and 10, excluding both endpoints.
In terms of symbols we can say 0 < w < 10 where w is the width.
===================================================
Explanation:
You could do this with two variables, but I think it's easier to instead use one variable only. This is because the length is dependent on what you pick for the width.
w = width
2w = twice the width
2w-5 = five less than twice the width = length
So,
width = wlength = 2w-5which lead to
area = length*width
area = (2w-5)*w
area = 2w^2-5w
area < 150
2w^2 - 5w < 150
2w^2 - 5w - 150 < 0
To solve this inequality, we will solve the equation 2w^2-5w-150 = 0
Use the quadratic formula. Plug in a = 2, b = -5, c = -150
[tex]w = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\w = \frac{-(-5)\pm\sqrt{(-5)^2-4(2)(-150)}}{2(2)}\\\\w = \frac{5\pm\sqrt{1225}}{4}\\\\w = \frac{5\pm35}{4}\\\\w = \frac{5+35}{4} \ \text{ or } \ w = \frac{5-35}{4}\\\\w = \frac{40}{4} \ \text{ or } \ w = \frac{-30}{4}\\\\w = 10 \ \text{ or } \ w = -7.5\\\\[/tex]
Ignore the negative solution as it makes no sense to have a negative width.
The only practical root is w = 10.
If w = 10 feet, then the area = 2w^2-5w results in 150 square feet.
----------------------
Based on that root, we need to try a sample value that is to the left of it.
Let's say we try w = 5.
2w^2 - 5w < 150
2*5^2 - 5*5 < 150
25 < 150 ... which is true
This shows that if 0 < w < 10, then 2w^2-5w < 150 is true.
Now try something to the right of 10. I'll pick w = 15
2w^2 - 5w < 150
2*15^2 - 5*15 < 150
375 < 150 ... which is false
It means w > 10 leads to 2w^2-5w < 150 being false.
Therefore w > 10 isn't allowed if we want 2w^2-5w < 150 to be true.
Help me with this any smart math people or mr brainly or any smart Genius Pro Math HELPER
1. GENERALIZE Think about quadrilaterals and rotational symmetry. Write some generalizations of your own about rotational symmetry and quadrilaterals.
Answer:
Step-by-step explanation:
It is a little vague on what the expected answer is. But for quadrilaterals, any rotational symmetry will be along a line that divides the quadrilaterals in two equal halves. This is due to symmetry.
Also the two equal halves will be mirror image of each other at the axis of symmetry. It is again due to properties of symmetry.
Lastly rotating a quadrilateral along its axis of rotational symmetry will create a 3-D cylindrical shape. A cross-section of that shape along the axis will show the same quadrilateral.
A parking lot is 400 yards long and 300 yards wide. You would want to make a miniature version
of this in your production design course. If you make it 10 inches long, how wide should it be?
If the scale I make for the parking lot is 10 inches long, it should be 7.5 inches wide.
What is a scale?Scale is a term to refer to a drawing and design method in which an object or space and its actual measurements are taken as a reference and subsequently reduced or increased while maintaining the proportions between their measurements.
How to calculate the length of the width of the parking lot to scale?To calculate the width of the parking lot to scale, it is necessary to perform the following mathematical operation.
We need to figure out how much 100 yards is on the inch scale model. So if 400 yards is 10 inches we must divide this value by 4 as shown below:
10 ÷ 4 = 2.5Based on the above, 100 yards equals 2.5 inches on this model. So if your width is 300 yards, the length in inches would be 7.5 inches.
2.5 × 4 = 7.5Learn more about scales in: https://brainly.com/question/19896181
Help help math math ASAP pelsss
Answer:
(6, 1)
Step-by-step explanation:
x + 3y = 9
x + 4y = 10
---------------------
-1 (x + 3y = 9)
---------------------
-x - 3y = -9
x + 4y = 10
1y = 1 or y =1
x + 4y = 10
x + 4(1) = 10
x + 4 = 10
-4 -4
x = 6
I hope this helps!
The dosage of cough medicine for a child 4 to 6 is 1/2 every 4 hours. If a child receives 5 doses of medication over 2 day, how many teaspoons has the child receives
- - - - - - - - - - - - - - - -
There is some unnecessary information in the problem, first, it should be removed.
"The dosage of cough medicine for a child 4 to 6..."
"2 days"
Listing the age and days don't matter here, it's the rest of the problem that matters!
- - - - - - - - - - - - - - - -
"1/2(a teaspoon) every 4 hours," This is one dose. Multiply 1/2 by five to see how many teaspoons are consumed.
1/2 x 5 = 2 1/2 (teaspoons)
- - - - - - - - - - - - - - - -
Good luck! :)
~pinetree
The U.S. government has devoted considerable funding to missile defense research over the past 20 years. The latest development is the Space-Based Infrared System (SBIRS), which uses satellite imagery to detect and track missiles ( Chance, Summer 2005). The probability that an intruding object (e.g., a missile) will be detected on a flight track by SBIRS is 0.8. Consider a sample of 20 simulated tracks, each with an intruding object. Let x equal the number of these tracks on which SBIRS detects the object. (a) Is x (approximately) a binomial random variable? Group of answer choices No Yes
Answer: Yes
Step-by-step explanation:
Given that :
Probability of success (p) = 0.8
Number of simulations (n) = 20
Number of tracks on which infrared system detects object = x
To test if it is binomial random variable :
For a binomial distribution :
P(x) = nCx * p^x * (1 - p)^(n-x)
Since the variables given are enough to create and use a binomial probability distribution, then x is approximately a binomial random variable.
The time required to play a new video game is normally distributed. If the mean time to play this game is 23.5 hours with a standard deviation of 1.7 hours, what is the probability that a player will complete this game in between 21.8 and 25.2 hours?
47.72%
99.74%
68.24%
95.44%
Answer:
69.24
Step-by-step explanation:
i did the quiz
Answer:
68.24
Step-by-step explanation:
A bottle contains 125 multivitamin tablets. Each tablet contains 20 milligrams of niacin.
How many grams of niacin in all are contained in the bottle?
Answer:
There are 2.5 grams of niacin contained in the bottle.
First you have to find how many milligrams are in the bottle.
So you multiply 125 by 20 since there are 125 tablets and 20 milligrams in each one.
125*20=2500
So there are 2500 milligrams in the bottle. Then you have to convert it into grams. To do that you divide the mass by 1000.
2500/1000=2.5
So there are 2.5 grams in the bottle.
Step-by-step explanation: hope this helps :)
Answer:
2.5
Step-by-step explanation:
125 vitamins, each vitamin has 20 milligrams. convert 20 milligrams to grams. 0.02 grams of niacin in each vitamin. 125 multiplied by 0.02 is 2.5
Prove the following identity : csc4x−cot4x=csc2x+cot2x .
Answer: See attached image
Step-by-step explanation:
How long is the minute hand on a clock whose tip travels 15 cm from 1:15 to 1:30 to the nearest tenth?
10.1 cm
9.6 cm
6.0cm
0.2 cm
We will see that the length of the minute hand is 9.6 cm.
How long is the minute hand?
We know that for a circle of radius R, the length of the arc defined by an angle of θ is:
L = θ*R
In this case, the length of the arc is 15 cm, and the angle is the one between 1:15 and 1:30, which is one-fourth of a complete circle.
If a complete circle has an angle of 2pi, then one-fourth of a circle has an angle θ = (2pi)/4 = pi/2
Then, replacing the length of the arc and the angle we have:
15cm = (pi/2)*R
Now we can solve this for R, remember that pi = 3.14:
(15 cm)*(2/3.14) = R = 9.6cm
So the length of the minute hand is 9.6 cm.
So the correct option is the second one.
If you want to learn more about circles, you can read:
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Answer:
B: 9.6cm
Step-by-step explanation:
took the test
t - 2(3 – 2t) = 2t + 9
Answer:
t=-1
Step-by-step explanation:
t - 2(3 - 2t) = 2t - 9
t - 6 + 4t = 2t - 9
5t - 6 = 2t - 9
5t - 2t = -9 + 6
3t = -3
t= -1
In an isosceles triangle (a triangle where two of the three sides called legs are equal), the legs
are 1 unit less than twice the length of the base. If the length of the base of the triangle is
represented by x, create an expression that represents the perimeter of the triangle.
Answer:
it has 3 angles and that angle is x
What is the approximate volume of a cone with a height of 12 in. and radius of 9 in.?
Use 3.14 to approximate pi, and express your final answer to the nearest hundredth.
Enter your answer as a decimal in the box.
Answer:
the answer is 1017.8760 in cube
when is the shsat test in 2020?
Answer:
DATE EVENT
Early September—Mid-October 2020 Register through your school counselor
Mid-October 2020 Receive your Test Ticket and/or Audition Ticket w/specific date, time, and location
October 26 & 27, 2020 (Subject to change) 8th grade SHSAT
November 2 & 17, 2020 (Subject to change) 9th Grade SHSAT
Other Events:
SHSAT make-up test
SHSAT for 8th and 9th grade students who are English Language Learners or students with disabilities who have IEPs or approved 504 plans
Early—Mid November 2020 LaGuardia High School Auditions, in alphabetical order by last name, borough by borough (Bronx, Brooklyn, Manhattan, Queens/Staten Island)
March 2021 Receive SHSAT scores and Specialized High School admission results through your school counselor
Step-by-step explanation:
I looked it up.
Answer:
Undecided
Step-by-step explanation:
No one knows when it'll be, but probably soon.
which equation represents the graphed line??? 20POINTS!!!!!!!
Answer:
B. y-1 = -2(x-3)
I think because the line met there
Sam sold a watch at 20% less than the cost price. He receive 212$. What was the cost price of the watch?
Answer:
let cp = x
now ,
sp= x-5%ofx
212= 4x/5
x=265$
Answer: Cost price 265$
Step-by-step explanation: Loss% = 20.
Money Earned After loss =212$.
cost price - loss = 265 - 20% = 212.
Which table of input Values x and output values Y
Answer:
each input has exactly one output.
Step-by-step explanation: input can only have one output for the table to be a function
Pavit has a clock with a minute hand that extends to the clock's edge. The minute hand is 5.25 inches long. What is the circumference of the clock?
Answer:
10.5[tex]\pi[/tex] Inches
Step-by-step explanation:
C=2[tex]\pi[/tex]r
C=2[tex]\pi[/tex]5.25
C=10.5[tex]\pi[/tex]
Consider the set {sin2 x, cos2 x} in the vector space of differentiable real-valued
functions. Determine which of the following functions are in the span of the
above set: f(x) = 1, g(x) = 3 + x2, h(x) = sin x and k(x) = cos 2x.
later
Step-by-step explanation:
What is the area, in square centimeters, of the shape below? Express your answer as a fraction in simplest form.
Answer: (2/5) x (3/2) x .5 = 3/10 or .3
Step-by-step explanation: Area of a triangle is (1/2)bh . You substitute your answers and simplify.
A ladybug and ant move at constant speeds. The diagrams with tick marks show their positions at different times. Each tick mark represents 1 centimeter. Lines u and v also show the positions of the two bugs. Which line shows the ladybug’s movement?
Answer:
Line u shows the movement of the ladybug. Because line v goes farther than line u
Step-by-step explanation:
Because line v goes farther than line u
The ladybug's motion is depicted in line u. Because line v is moving farther than line u.
What is Speed?The amount of the shift in approach per unit of time or the size of the displacement over time for an object can be used to describe speed, which would be a scalar quantity in everyday language and kinematics.
The maximum speed that can be maintained when a period grows closer to zero is the starting speed.
By dividing the object's distance traveled by the duration of the interval, the mean pace of the object for the given period is calculated. Speed and velocity are not always the same thing.
The line u and v show the position of the two bugs, but the line that shows the ladybug's movement is line u because line v is moving farther than line u.
To know more about Speed:
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Triangle ABC will be reflected over the x-axis to create triangle ABC. Then, triangle A B C will be reflected over the dashed line to create
triangle A" "C".
Which single transformation will have the same effect on the figure?
O reflection over the x-axis
O rotation of 270° about the point (0,0)
o translation described by (x ) - (x - 6,)
o translation described by (x, ) - (xy-6)
PLEASEEE SOMEONE HELP MEE
If triangle ABC is reflected across the x axis, the new point is A'(-3, -2), B'(0, -1) and C'(-2, 3)
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.
Triangle ABC has vertices A(-3,2) B(0,1) and C(-2,-3).
If triangle ABC is reflected across the x axis, the new point is A'(-3, -2), B'(0, -1) and C'(-2, 3)
Find out more on transformation at: https://brainly.com/question/1620969
HELP!!! Due in 10 mins help me pls! WILL GIVE BRAINLIEST!!!
You need to find a Number with 10 digits.
The first digit is divisible by 1
The second digit is divisible by 2
The third digit is divisible by 3
The fourth digit is divisible by 4
The fifth digit is divisible by 5
The sixth digit is divisible by 6
The seventh digit is divisible by 7
The eigth digit is divisible by 8
The ninth digit is divisible by 9
The full number is divisible by 10
Answer:
1234567890
Step-by-step explanation:
Each of the digits is divisible by their individual index in the number. Adding a 0 at the ends allows for the number to be divisible by 10 and completes the 10 digit requirement.
The first digit is divisible by 1
The second digit is divisible by 2
The third digit is divisible by 3
The fourth digit is divisible by 4
The fifth digit is divisible by 5
The sixth digit is divisible by 6
The seventh digit is divisible by 7
The eigth digit is divisible by 8
The ninth digit is divisible by 9
The full number is divisible by 10