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3 years ago

Mark uses 19 gallons of gas while traveling 399

Mathematics

1 answer:

Ket [755]3 years ago

4 0

Answer:

189

Step-by-step explanation:

If mark uses 19 gallons to travel 399 miles, that means he was able to travel 21 miles per gallon.

We get this by taking 399 divided by 19.

So if mark travels on 9 gallons of gas and goes 21 miles per gallon, he will have traveled 189 miles.

We get this by taking 21 times 9

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PRE-CAL HELP PLEASE (see attachment)

Lunna [17]

Answer:

$\lim_{x \to \infty} \frac{2500+17(x-100)}{x}=17$

Explanation:

1) Charges are:

Flat fee: 500
First 100 tickets: 20(100) = 2000
Tickets over 100: 17 ( x - 100), where x is the number of tickets.

2) Total charges: 500 + 2000 + 17(x - 100) = 2500 + 17(x - 100)

3) Average cost per ticket = total charges / number of tickets

⇒ [2500 + 17(x - 100) ] / x

4) limit as the number of tickets, x, becomes very high ⇒ x → ∞

⇒ $\lim_{x \to \infty} \frac{2500+17(x-100)}{x}=17$

5) Here is the demostration of the value of that limit:

2500 / x + 17x / x - 1700/x = 0 + 17 + 0 = 17

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3 years ago

The measures of two sides of a triangle are 11 and 20. Between what two numbers must be the third side fall?

Studentka2010 [4]

Answer:

Step-by-step explanation:

The largest number must be less than 31.

The smallest number must be greater than 9.

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3 years ago

Julie and her brother go to Atlanta to ride the SkyView Ferris wheel. It measures 200 feet in diameter.

LUCKY_DIMON [66]

Answer:

Part A) Circumference

Part B) C=π D

Part C) The distance traveled in one rotation is 628.32 feet

Step-by-step explanation:

Part A) we know that

The distance around the circle is equal to the circumference.

The Ferris Wheel have a circular shape

To find out the distance around the Ferris Wheel you should use the circumference

Part B) What is the formula needed to solve this problem?

we know that

The circumference is equal to multiply the number π by the diameter of the circle

C=π D

Part C) What is the distance traveled in one rotation?

we know that

One rotation subtends a central angle of 360 degrees

The distance traveled in one rotation is the same that the circumference of the Ferris wheel

we have

$D=200\ ft$ ----> diameter of the Ferris wheel

substitute in the formula of circumference

$C=\pi (200)\\C=200\pi\ ft$

assume

$\pi=3.1416\\C=200(3.1416)=628.32\ ft$

therefore

The distance traveled in one rotation is 628.32 feet

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Answer:

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