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romanna [79]
3 years ago
5

In preparation for the Senior Prom, 8 seniors got together and decided to travel in style and rent a limousine. They investigate

d and found a company that would rent the limousine for a minimum charge of $180 for the first 3 hours and $30 per hour thereafter. They estimated that they needed to be picked up at 8:00 p.m. and be back by 1:00 a.m. How much money would each student have to pay if they planned to leave the limousine driver a $20.00 tip?
Each student would have to pay__________.
Mathematics
1 answer:
tankabanditka [31]3 years ago
6 0
First we need to calculate the total cost.

The seniors will rent limousine from 8:00 pm till 1:00 am. So total time of rent = 5 hours

Total charges = Charges of first 3 hours + Charges of next 2 hours + Tip
So,
Total charges = $180 + 2($30) +$20 = $260

Thus the total amount the 8 seniors will have to pay is $260. The amount each senior will have to pay is $260/8 = $32.5

Therefore, each student will have to pay $32.5
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a rectangle has a perimeter of 76 cm. Its length is 5 more that twice its width. The system of equation below can be use to fine
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Answer:

l=27cm and w=11cm

Step-by-step explanation:

the perimeter of a rectangle is given by the following equation:

p=2(l+w)=2l+2w

if a rectangle has a perimeter of 76cm and its length  is 5 plus the double of its width we can use a system of equations to find the length l, and the width w.

For the perimeter of the rectangle

2l+2w=76 where l is its length, and  w is its width, 76 is the perimeter of the rectangle in cm.

We know that the lengh of the rectangle is 5 plus the double of its width, writing the equation:

l=5+2w

Substituting the equation above in 2l+2w=76

2(5+2w)+2w=76\\10+4w+2w=76\\6w=76-10\\w=66/6\\w=11

We got that the rectangle width is w=11cm

Substituting w in the equation 2l+2w=76

2l+2(11)=76\\2l+22=76\\l=(76-22)/2=54/2\\l=27

We got that the rectangle length is l=27cm

Verifying the values ​​obtained

2l+2w=76 with l=27 and w=11

2(27)+2(11)=76

54+22=76

Satisfying the equation

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