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3 years ago

In the expression shown p represents a rational number. 4p. what value of p makes the expression equal a number less than 4?

1 answer:

8 0

C: 7/8
Explanation: Since we want a number that makes 4p less than 4, we need to find a number for p that is less than 1. By looking at each fraction, only 7/8 will render it less than 4

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A movie theater has a seating capacity of 329. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults.

kipiarov [429]

Answer:

170 children

74 students

85 adults

Step-by-step explanation:

Given

Let:

$C = Children; S = Students; A = Adults$

For the capacity, we have:

$C + S + A = 329$

For the tickets sold, we have:

$5C + 7S + 12A = 2388$

Half as many as adults are children implies that:

$A = \frac{C}{2}$

Required

Solve for A, C and S

The equations to solve are:

$C + S + A = 329$ -- (1)

$5C + 7S + 12A = 2388$ -- (2)

$A = \frac{C}{2}$ -- (3)

Make C the subject in (3)

$C = 2A$

Substitute $C = 2A$ in (1) and (2)

$C + S + A = 329$ -- (1)

$2A + S + A = 329$

$3A + S = 329$

Make S the subject

$S = 329 - 3A$

$5C + 7S + 12A = 2388$ -- (2)

$5*2A + 7S + 12A = 2388$

$10A + 7S + 12A = 2388$

$7S + 22A = 2388$

Substitute $S = 329 - 3A$

$7(329 - 3A) + 22A = 2388$

$2303 - 21A + 22A = 2388$

$2303 +A = 2388$

Solve for A

$A = 2388 - 2303$

$A = 85$

Recall that: $C = 2A$

$C = 2 * 85$

$C = 170$

Recall that: $S = 329 - 3A$

$S = 329 - 3 * 85$

$S = 329 - 255$

$S = 74$

Hence, the result is:

$C = 170$

$S = 74$

$A = 85$

8 0

2 years ago

Please help i dont understand

Rama09 [41]

Answer:

17.5

Step-by-step explanation:

Pythagorean Theorem is a^2 + b^2 =c^2

a= 9 , b= 15, c= x

9^2 + 15^2 = c^2

$\sqrt{306}$ = c^2

c= 17.493 or 17.5 rounded to the nearest tenth

4 0

2 years ago

3 pounds of steak costs $21. What is the unit rate for the steak

Katyanochek1 [597]

$21 for 3 pounds of steak the rate would be 7 because 21/3= 7

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3 years ago

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Round 151.09 to the nearest whole

3241004551 [841]

It is rounded down to 151.

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3 years ago

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Thursday

Lynna [10]

-17.35 bc he said no to the yes to the no no no

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1 year ago