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Arada [10]
3 years ago
14

At a movie theater they sell hotdogs and popcorn. The first hour they sold 15 popcorns and 14 hotdogs for a total of $84. The se

cond hour they made $99 selling 18 popcorns and 16 hotdogs. What is the price of 1 hotdog and 1 popcorn? Can anyone help please.
Mathematics
1 answer:
Delicious77 [7]3 years ago
8 0

Answer:

1 hotdog cost $2.25

1 popcorn cost $3.5

Step-by-step explanation:

Let the price of hotdog be and that of popcorn be p

For the first hour;

15p + 14h = 84 •••• (i)

for the second hour;

18p + 16h = 99 •••••(ii)

so we want to solve these two equations simultaneously

In equation 1,

14h = 84-15p

h = (84-15p)/14

Simply insert this into equation ii

18p + 16(84-15p)/14 = 99

Multiply through by 14

252p + 1344 - 240p = 1386

1386-1344 = 252p-240p

12p = 42

p = 42/12

p = $3.5

to get cost of hotdogs;

h = (84-15p)/14

Substitute p = 3.5

h = (84-52.5)/14

h = 31.5/14

h = 2.25

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Answer: 1404 cubic feet.

Step-by-step explanation:

Formula :

Volume of a rectangular prism is given by :

Volume= Area of the base x Height.

Given : Talishas bedroom is a rectangular prism.

The area of the floor = 156 square feet

The height of the floor = 9 feet

Then , the volume of Talishas bedroom =  Area of floor x Height

= 156 × 9=1404 cubic feet.

Hence, the volume of Talishas bedroom= 1404 cubic feet.

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Kate has 11 quarters and 4 nickels
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What is 5/8 to nearest whole number
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Answer: 1

Step-by-step explanation:

The nearest whole number would be 1, because the fraction 5/8 to a decimal is 0.625.

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Match the pairs of polynomials to their products.
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The sets for each of the given numbers are:

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  • 2π: Real and irrational.
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  • -√16: Real, rational, and integer.
  • -35: Real, rational, and integer.
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<h3>To which set each number belong?</h3>

Here we need to identify 3 sets

  • Rational numbers: all of these that can be written as a quotient of two integers.
  • Irrational numbers: all of these that can't be written as a quotient of two integers.
  • Integers: Any number that can be got by adding or subtracting ones.
  • Whole numbers: All the integers equal or larger than 0.
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The first number is:

6426

It can be rewriten to:

6426/1

So this is: Real, rational, integer, and whole number.

Second number:

√7

This is a real and irrational number (square roots of non-square numbers are irrational numbers).

Third number:

2π

This is a real and irrational number, because π is irrational.

Fourth number:

4.0

This is: Real, rational, whole, and integer.

Fifth number:

√(25/36)

We can simplify that to:

√(25/36) = 5/6

So this is a real and rational number.

Sixth number:

-√16 = -4

That is a: Real, rational, and integer number

Seventh number:

-35

Same as the above one, real, rational, and integer.

Eight number:

-31.8

It can be written as:

-31.8 = -318/10

So this is real and rational number.

If you want to learn more about rational and irrational numbers:

brainly.com/question/12088221

#SPJ1

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