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Art [367]
3 years ago
8

A movie theatre offers popcorn in two different containers for the same price. One container is a rectangular prism with a base

area of 36in2 and a height of 5in. The other container is a triangular prism with a base area of 32in2 and a height of 6in. Which container is the better deal? EXPLAIN.
Mathematics
1 answer:
qwelly [4]3 years ago
8 0

Answer:

The triangular prism container is the better deal. Because when u find the volume if the 2 containers the volume of the triangular prism container is more than the volume if the rectangular prism container.

Step-by-step explanation:

Volume of prism is base area × height

volume of the rectangular prism container= 36×5=180

volume of the triangular prism container= 32×6=192

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There is a 10% off sale on laptop computers. If someone saves $35 on a laptop, what was its original cost?
IceJOKER [234]

Answer:

The original cost is $350

Step-by-step explanation:

Let's assume

original cost of computer is x

There is a 10% off sale on laptop computers

So, amount saved is

=\frac{10}{100}x=0.10x

now, we are given

someone saves $35 on a laptop

so, we can set them equal

and then we can solve for x

0.10x=35

we can divide both sides by 0.10

and we get

x=350

So,

The original cost is $350

4 0
3 years ago
Derive the equation of the parabola with a focus at (-5,5) and a directix of y = -1
Paladinen [302]

Answer:

D

Step-by-step explanation:

From any point (x, y) on the parabola the focus and directrix are equidistant

Using the distance formula

\sqrt{(x+5)^2+(y-5)^2} = | y + 1 |

Squaring both sides

(x + 5)² + (y - 5)² = (y + 1)^2 , that is

(y + 1)² = (x + 5)² + (y - 5)² ← subtract (y - 5)² from both sides

(y + 1)² - (y - 5)² = (x + 5)² ← expand left side and simplify

y² + 2y + 1 - y² + 10y - 25 = (x + 5)²

12y - 24 = (x + 5)² ← factor left side

12(y - 2) = (x + 5)² ← divide both sides by 12

y - 2 = \frac{1}{12} (x + 5)² ← add 2 to both sides

y = \frac{1}{12} (x + 5)² + 2

or

f(x) = \frac{1}{12} (x + 5)² + 2 → D

7 0
3 years ago
I'll give brainliest!!! please help!
tester [92]

Answer:

Puritans believed that people (children in particular) were inherently bad (sinners) and had to learn to behave. Salvation lay in learning to check one's natural instincts and behave as an adult.

3 0
3 years ago
Find the difference. (7x-6 2/3) - (-3x + 4 3/4)
NikAS [45]

10x-61/12 is the difference of  (7x-6\frac{2}{3}) - (-3x + 4\frac{3}{4}).

<h3>What is Expression?</h3>

An expression is combination of variables, numbers and operators.

The given expression is (7x-6\frac{2}{3}) - (-3x + 4\frac{3}{4})

7x-6\frac{2}{3}+3x- 4\frac{3}{4}

7x-20/3+3x-19/4

Add the variable terms and constant terms.

10x-20/3-19/4

The LCM of 3 and 4 is 12/

10x-4-57/12

10x-61/12

Hence, 10x-61/12 is the difference of  (7x-6\frac{2}{3}) - (-3x + 4\frac{3}{4}).

To learn more on Expressions click:

brainly.com/question/14083225

#SPJ1

4 0
1 year ago
QUESTION 3 Toyota provides an option of a sunroof and side airbag package for its Corolla model. This package costs $1400. Assum
Orlov [11]

Answer:

n=601

Step-by-step explanation:

Formula used:

n=z(\frac{\alpha }{2})^2\frac{p(1-p) }{E^2}

Solution:

n=z(\frac{\alpha }{2})^2\frac{p(1-p) }{E^2}

Where,

\frac{\alpha }{2}=0.025

As there is no previous estimate for p

Then, p=0.5

Here on using the table

z(\frac{\alpha }{2}) =1.959963985

Also,

E=0.04

p=0.5

Thus,

n=600.2279407

On approximating the value,

n=601

6 0
3 years ago
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