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sesenic [268]
3 years ago
9

A group of college students are going to a lake house for the weekend and plan on renting small cars and large cars to make the

trip. Each small car can hold 5 people and each large car can hold 8 people. The students rented 5 more small cars than large cars, which altogether can hold 51 people. Determine the number of small cars rented and the number of large cars rented.
Mathematics
2 answers:
nadya68 [22]3 years ago
8 0

Answer: The number of small cars rented = 7

The number of large cars rented=2

Step-by-step explanation:

Let x be the number of small cars rented and y be the number of large cars rented.

As per given statements , we have the following system of equations:

5x+8y=51--------(1)\\\\ x=y+5--------------(2)

Substitute the value of x from (2) in (1), we get

5(y+5)+8y=51

5(y)+5(5)+8y=51    (Distributive property)

5y+25+8y=51

13y=51-25  (Subtract 25 on both both sides)

13y=26

y=2 (Divide both sides by 13)

Put value of y in (2) , we get x=2+5 =7

∴ The number of small cars rented = 7

The number of large cars rented=2

bogdanovich [222]3 years ago
4 0

Answer:

They rented 7 small cars and 2 large cars.

Step-by-step explanation:

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3k-7/5 = 16 what is does k equal?
Gnom [1K]
3k=16+7/5
3k=87/5
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3 0
3 years ago
Given AQRS-AXYZ, what is the value of tan(Q)?<br><br> A) 3/5<br> B) 3/4<br> C) 4/5<br> D) 4/3
iren [92.7K]

The answer is B.

Since ΔQRS ~ ΔXYZ, the value of tan(Q) is :

  • ∠Q = ∠X
  • tan(Q) = tan(X)
  • tan(X) = 3/4
  • tan(Q) = 3/4
3 0
2 years ago
1) g=-y+c/x, solve for X
Sindrei [870]

Answer:

the solution  x = \frac{c}{g-y}

Step-by-step explanation:

<u>Step 1:-</u>

Given problem g=\frac{-y+c}{x}

here l.cm is x

g = \frac{x y+c}{x}

cross multiplication we get ,

g x = x y +c

<u>Step 2</u>:-

subtracting x y on both sides , we get

g x - x y = c

taking common 'x' we get,

x(g-y) = c

<u>Final answer</u>:-

x = \frac{c}{g-y}

3 0
3 years ago
1. Simplify 3(2x - y) + 6y.<br> 5x + 7y<br> 6x + 3y<br> 2x + 3y<br> 6x - 7y
asambeis [7]

Answer:

6x + 3y

Step-by-step explanation:

3(2x - y) + 6y ← distribute parenthesis by 3

= 6x - 3y + 6y ← collect like terms

= 6x + 3y

3 0
2 years ago
Read 2 more answers
The manager of a theater noted that for every 10 admission tickets sold, the theater sells 3 bags of popcorn at $2.25 each, 4 so
Shalnov [3]

Answer:

$1.475 is the average amount of snack sales per ticket sold.

Step-by-step explanation:

We are given the following in the question:

Number of popcorn bags sold = 3

Cost of  a popcorn bag = $2.25

Total cost of popcorn bag = 2.25\times 3 = $6.75

Number of soda sold = 4

Cost of  a soda = $1.50

Total cost of soda = 1.50\times 4 = $6.00

Number of candy bars sold = 2

Cost of  a candy bar = $1.00

Total cost of candy bars =  1.00\times 2 = $2.00

Total sales =

Total cost of popcorn + Total cost of soda + Total cost of candy bar

= 6.75 + 6 + 2\\=\$14.75

\text{Average} = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Average amount of snack sales per ticket sold =

\dfrac{\text{Total sales}}{\text{Number of tickets}} = \dfrac{14.75}{10} = 1.475

Thus, $1.475 is the average amount of snack sales per ticket sold.

5 0
3 years ago
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