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3 years ago

9

On a Saturday a movie theater sells 785 tickets they sell kid tickets for $2 and adult tickets for $5. that Saturday they make $

3280. How many of each kind of ticket did they sell?

1 answer:

Otrada [13]3 years ago

5 0

Answer:

570 adults and 215 children

Step-by-step explanation:

did this assignment and got it right

5a + 2c = 3280 where a is adults and c is children

subtraction eliminates c, find a

3a + 0 = 1710

a = 1710/3

a = 570 adult and then you have to subtract 785-570= 215 children

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A pyramid has a square base with sides of length s. The height of the pyramid is equal to - of the length of a side on the base.

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<h3><u>Question:</u></h3>

A pyramid has a square base with sides of length s. The height of the pyramid is equal to 1/2 of the length of a side on the base. Which formula represents the volume of the pyramid?

<h3><u>Answer:</u></h3>

<em><u>The formula represents the volume of the pyramid is:</u></em>

$V=\frac{1}{6}s^3$

<h3><u>Solution:</u></h3>

<em><u>The volume of square pyramid is given by formula:</u></em>

$V = \frac{1}{3} a^2h$

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"a" is the length of side of base

Here given that, pyramid has a square base with sides of length s

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a = s

The height of the pyramid is equal to 1/2 of the length of a side on the base

$h = \frac{1}{2} \times s\\\\h = \frac{s}{2}$

<em><u>Thus the volume of pyramid becomes:</u></em>

$V = \frac{1}{3} \times s^2 \times \frac{s}{2}\\\\V = \frac{s^3}{6}$

$\boxed{V=\frac{1}{6}s^3}$

Thus the formula represents the volume of the pyramid is $\frac{s^3}{6}$

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1 year ago

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Charli bought 2 3/4 pounds of pears for 0.76 per pound and 2 3/4 pounds of grapes for 1.40 per pound. how much money in dollars

MArishka [77]

Answer:

$Total = \$5.94$ ---- in dollars

$Total = 594\ cents$ ---- in cents

5 dollars 94 cents

Step-by-step explanation:

Given

Pears

$Weight = 2\frac{3}{4}\ lb$

$Amount = \$0.76$ per pound

Grapes

$Weight = 2\frac{3}{4}\ lb$

$Amount = \$1.40$ per pound

Required

Determine the amount paid for the fruit in dollar and cents

First, we need to calculate the amount paid for each fruit.

This is calculated by multiplying the amount per pound by the number of pounds bought.

For Pears:

$Total_{Pears} = 2\frac{3}{4} * \$0.76$

Convert fraction to decimal

$Total_{Pears} = 2.75 * \$0.76$

$Total_{Pears} = \$2.09$

For Grapes

$Total_{Grapes} = 2\frac{3}{4} * \$1.40$

Convert fraction to decimal

$Total_{Grapes} = 2.75 * \$1.40$

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Next, we add both amounts together to get the total amount spent in dollars.

$Total = Total_{Pears} + Total_{Grapes}$

$Total = \$2.09 + \$3.85$

$Total = \$5.94$

Multiply by 100 to convert this amount to cents

$Total = 5.94 * 100\ cents$

$Total = 594\ cents$

And it can be represented as dollars and cents as:

5 dollars 94 cents

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