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madreJ [45]
3 years ago
15

Meredith needs to rent a car while on vacation. The rental company charges $18.95, plus 18 cents for each mile driven. If Meredi

th only has $40 to spend on the car rental, what is the maximum number of miles she can drive? Meredith can drive a maximum of miles without the cost of the rental going over $40.Round your answer to the nearest mile.
Mathematics
1 answer:
Katen [24]3 years ago
4 0

Answer:

117 miles

Step-by-step explanation:

First we need an equation for the situation.  The number of miles is our unknown, x.  If she is charged 18 cents per mile, that can be expressed as .18x.  The flat rate, what she is charged regardless of how many miles she drives, is 18.95.  In other words, even if she drives 0 miles, she is still charged 18.95 for the rental of the car.  C(x) is the amount she will pay after the flat rate plus the number of miles she drives.  Therefore, our equation is:

C(x) = .18x + 18.95

If she can only spend 40, then we replace C(x) with 40 and solve for x, the number of miles:

40 = .18x + 18.95

Begin by subtracting 18.95 from both sides to get:

21.05 = .18x

Now divide both sides by .18 to get that

x = 116.9 miles

Rounding, we have that she can drive

117 miles

with the amount of money she has to spend on a rental car.

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Serena has attached a 10 inch ribbon to the corners of a frame to hang it on the wall. The frame 9 inches wide. How far above th
kherson [118]

Answer: The hook would be 2.2 inches (approximately) above the top of the frame

Step-by-step explanation: Please refer to the picture attached for further details.

The top of the picture frame has been given as 9 inches and a 10 inch ribbon has been attached in order to hang it on a wall. The ribbon at the point of being hung up would be divided into 5 inches on either side (as shown in the picture). The line from the tip/hook down to the frame would divide the length of the frame into two equal lengths, that is 4.5 inches on either side of the hook. This would effectively give us two similar right angled triangles with sides 5 inches, 4.5 inches and a third side yet unknown. That third side is the distance from the hook to the top of the frame. The distance is calculated by using the Pythagoras theorem which states as follows;

AC^2 = AB^2 + BC^2

Where AC is the hypotenuse (longest side) and AB and BC are the other two sides

5^2 = 4.5^2 + BC^2

25 = 20.25 + BC^2

Subtract 20.25 from both sides of the equation

4.75 = BC^2

Add the square root sign to both sides of the equation

2.1794 = BC

Rounded up to the nearest tenth, the distance from the hook to the top of the frame will be 2.2 inches

4 0
3 years ago
Questions 1&2 I need help with who can help me
gayaneshka [121]
What do you need help with? it helps us to know the question!
7 0
4 years ago
Almira earns $34 an hour. How much does she earn in 8 hours?
Tom [10]

Answer:

$272

Step-by-step explanation:

one hour  = $34

8 hours  = $272

34*8 = 272

8 0
4 years ago
Read 2 more answers
Find the Compound Amount.
crimeas [40]
A=p(1+i/m)^mn
A=980×(1+0.08÷4)^(4×5)
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3 0
3 years ago
how many such tests would it take for the probability of committing at least one type i error to be at least 0.7? (round your an
drek231 [11]

The number of tests that it would take for the probability of committing at least one type I error to be at least 0.7 is 118   .

In the question ,

it is given that ,

the probability of committing at least , type I error is = 0.7

we  have to find the number of tests ,

let the number of test be n ,

the above mentioned situation can be written as

1 - P(no type I error is committed) ≥ P(at least type I error is committed)

which is written as ,

1 - (1 - 0.01)ⁿ ≥ 0.7

-(0.99)ⁿ ≥ 0.7 - 1

(0.99)ⁿ ≤ 0.3

On further simplification ,

we get ,

n ≈ 118 .

Therefore , the number of tests are 118 .

Learn more about Error here

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4 0
1 year ago
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