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2 years ago

10

Paloma is visiting a new city on vacation. She plans to rent a Segway to tour the downtown area. The rental service charges $25

for the first half hour and $5.25 for each half hour after that. How much will it cost for Paloma to use the Segway for 8 hours?

1 answer:

irina1246 [14]2 years ago

5 0

Answer:

$103.75 for 8 hours

Step-by-step explanation:

8hr * 60min = 480min (for the total trip)

480min / 30min = 16 (30 minute intervals in her trip)

If the first half hour is a $25 dollar charge then,

$25 * 1 + $5.25 * 15 = $103.75 (for 8 hours)

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If you have a decimal answer, round to the nearest tenth!<br> x/-4−3=0

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X = -12 !!

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2 years ago

Find two consecutive even integers such that the sum of the larger and twice the smaller is 62

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2 years ago

Read 2 more answers

9. Water is added to two containers for 16 minutes. The equations below model the ounces of

Vladimir [108]

The two containers hold 328 ounces at the they hold same amount of water.

<u>Step-by-step explanation:</u>

The equations below model the ounces of water, y, in each container after x minutes.

$y = 16x + 104$

$y = -2x^{2} +40x+160$

At the time after the start when the containers hold the same amount of water, the two equations must be equal.

⇒ $16 x + 104 = -2x^{2} + 40 x + 160$

The first step is to divide everything by 2 to make it simplified.

⇒ $8 x + 52 = - x^2 +20 x + 80$

Now put everything on the left .

$x^2 + 8 x - 20 x + 52 - 80 = 0$

Add the like terms together to further reduce the equation

$x^2 - 12 x - 28 = 0$

Factorizing the equation to find the roots of the equation.

Here, b = -12 and c = -28

where,

b is the sum of the roots ⇒ -14 + 2 = -12
c is the product of the roots ⇒ -14 × 2 = -28

Therefore, (x-14) (x+2) = 0
The solution is x = -2 or x = 14

Take x = 14 and substitute in any of the given two equations,

⇒ $y = 16(14) + 104$

⇒ $y =224+104$

⇒ 328 ounces

∴ The two containers hold 328 ounces at the they hold same amount of water.

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2 years ago

A tank contains 30 lb of salt dissolved in 300 gallons of water. a brine solution is pumped into the tank at a rate of 3 gal/min

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We're given that $A(0)=30$ . Multiply both sides by the integrating factor $e^{t/100}$ , then

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Given that $A(0)=30$ , we have

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