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statuscvo [17]
2 years ago
12

Mike wants to rent a car for his vacation. The rental costs $125 a week plus $.15 a mile. How far can mike travel in a week if h

e wants to spend at the most $200?
Mathematics
2 answers:
guajiro [1.7K]2 years ago
6 0
He can travel 500 miles
Phantasy [73]2 years ago
4 0

Answer: Mike can travel 500 miles if he wants to spend $200.

Step-by-step explanation:  Given that Mike wants to rent a car for his vacation and the rental costs $125 a week plus $.15 a mile.

We are to find the number of miles that Mike can travel in a week if he wants to spend at the most $200.

Let x denotes the number of miles that Mike can travel.

Then, according to the given information, we have

0.15\timesx+125=200\\\\\Rightarrow 0.15x=200-125\\\\\Rightarrow 0.15x=75\\\\\Rightarrow x=\dfrac{75}{0.15}\\\\\\\Rightarrow x=\dfrac{7500}{15}\\\\\Rightarrow x=500.

Thus, Mike can travel 500 miles if he wants to spend $200.

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A drinking glass has sides following the shape of a hyperbola. The minimum diameter of the glass is 45 millimeters at a height o
Alinara [238K]

Answer:

The answer is a= 128.95 and b = 14.75

Step-by-step explanation:

Solution

Given

let the equation of the hyperbola be denoted as  x2/a2 - y2/b2 = 1 here, we will  consider the foci on the x-axis. All units are considered to be in mm.

From question stated, with x and y coordinates represents height and radius respectively,

Then,

When  x = 83 + a, y is = 45/2 = 22.5 and

At x = 180 + a, y  is = 57/2 = 28.5

It is important to know that, the height is estimated from the focus so we a a is included to the heights.

Thus,

(83+a)2/a2 - 22.52/b2 = 1 and (180+a)2/a2 - 28.52/b2 = 1

By using a calculator we have, a = 128.95 and b = 14.75

Therefore a= 128.95 and b = 14.75

3 0
2 years ago
Choose which statements are true about Pi. Check all that apply. Piis a whole number. Piis double the radius. Piis approximately
Ludmilka [50]

Answer:

Answer in explanation

Step-by-step explanation:

In this question, we would be examining the validity of some statements on the number π(pi)

π Is a whole number?

This is wrong, π is a fraction of 22 to 7 parts I.e 22/7

π Is double the radius?

This is wrong. It is the diameter that is double the radius

π Is approximately 3.14?

This is correct to an extent. The actual value in decimal is around 3.142857142857143 which makes the 3.14 somehow correct

π represents the ratio of the circumference of the circle to the diameter?

This is correct.

Mathematically, circumference C = π * diameter D

Hence C/D = π

π Is approximately 22/7?

This is correct. This is the ratio used for π

7 0
2 years ago
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Bess [88]

Answer:

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Step-by-step explanation:

Let x represent the pre-tax hotel charge in the first city in dollars. Then the hotel charge in the second city is x-1000 dollars, and the total tax is ...

... 7.5%·x +5%·(x -1000) = 575

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... x = 5000 . . . . . . . . divide by 12.5% (=0.125)

The first-city charge was $5000; the second-city charge was $4000.

8 0
2 years ago
Help please <br> If steak costs $8.45 per pound, what will be the total cost of 0.8 pounds of steak?
krok68 [10]

Answer:

$6.76

Step-by-step explanation:

Multiply 8.45 by 0.8 and you will get 6.76

5 0
2 years ago
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myrzilka [38]

Answer:

$15.25

Step-by-step explanation:

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So, he needs $57.00- $41.75 = $15.25 more

4 0
2 years ago
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