A movie theater offers popcorn in two different containers for the same price. One container is a trapezoidal prism with a base area of 34 square inches and a height of 5 inches. The other container is a triangular prism with a base area of 35 square inches and a height of 6 inches. Complete the explanation on which is a better deal:The (_trapezoidal or triangular) prism is a better deal because you get inches cubed for the same price you would pay for ___ inches cubed with a (_trapezoidal or triangular_) prism.

Answers

Answer 1

Answer: Given:
Trapezoidal prism: base area = 34 in² ; height = 5 in
Triangular prism: base area = 35 in² ; height = 6 in

Volume of Trapezoidal prism = base area * height
V = 34 in² x 5 in
V = 170 in³

Volume of Triangular prism = base area * height
V = 35 in² x 6 in
V = 210 in³

The TRIANGULAR prism is a better deal because you get 210 inches cubed for the same price you would pay for 170 inches cubed with a TRAPEZOIDAL prism.

Answer 2

Answer:

Answer:

triangular

Step-by-step explanation:

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What is the solution set of the quadratic inequality (4x-3)(2x-1)_>0

Answers

Answer:

Step-by-step explanation:

Write it in the simplest form

Answers

You make 3/4 6/8 and you add 3/8 with 6/8 and you get 9/8 which equals 1 1/9

The answer is 3/8 because you have to turn the denominator of 3/4 to give you the same denominator as 3/8, then subtract and you get 3/8.

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Answers

The answer to the question is letter c. I hope this helps you your welcome!!!

The radius of a soccer ball is 4 inches. Approximately what volume of air can it hold? Use 3.14 for Round to the nearest tenth of a cubic inch. Recall the formula

Answers

Answer:

the answer is 267.9 cubic inches

Step-by-step explanation:

Answer:

267.9

Step-by-step explanation:

In yoshi's garden, 3/4 of the flowers are tulips. Of the tulips, 2/3 are yellow. What fraction of the flowers in Yoshi's garden are yellow tulips?

Answers

3/4 of flowers are tulips.

Of the tulips 2/3 are yellow.

= 2/3 of the 3/4 of all the flowers

= (2/3) * (3/4)

= 1/2 of all the flowers are yellow tulips.

Answer:

6/12 or 1/2

Step-by-step explanation:

3/4 x 2/3 = 6/12 6 divided by 6 is 1 12 divided by 6 is 2

A motorcycle license plate has 2 letters amd 3 numbers. What is the probability that a motorcycle has a license plate containing a double letter and an even number?

Answers

The probability that a motorcycle has a license plate containing a double letter and an even number $\boxed{\frac{1}{{52}}}.$

Further explanation:

The probability can be obtained as the ratio of favorable number of outcomes to the total number of outcomes.

$\boxed{{\text{Probability}} = \frac{{{\text{Favorable number of outcome}}}}{{{\text{Total number of outcomes}}}}}$

Given:

A motorcycle license plate has 2 letters and 3 numbers.

Explanation:

There are 26 letters.

The double letters are as follows,

$S = \left( {aa,bb,cc, \ldotszz} \right)$

The total numbers of double letters are $\boxed{26}$

The total number of even numbers can be obtained as follows,

$\begin{aligned}{\text{Total numbers}} &= 10 * 10 * 5\n&= 500\n\end{aligned}$

The favorable number of outcomes can be obtained as follows,

$\begin{aligned}{\text{Favourable number of outcomes}} &= 26 * 500 \n &= 13000\n\end{aliged}$

The total numbers of outcomes can be obtained as follows,

$\begin{aligned}{\text{Total number of outcomes}}&= 26 * 26 * 10 * 10 * 10 \n&= 676000\n\end{aligned}$

The probability that a motorcycle has a license plate containing a double letter and an even number $\boxed{\frac{1}{{52}}}.$

Learn more:

Learn more about inverse of the function brainly.com/question/1632445.
Learn more about equation of circle brainly.com/question/1506955.
Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Probability

Keywords: motorcycle, license plate, 2 letters, 3 numbers, probability, motorcyclist, containing, double letter, even numbers, odd numbers.

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