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Alja [10]
3 years ago
15

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

area of 33 square inches and a height of 4 inches. The other container is a triangular prism with a base area of 34 square inches and a height of 5 inches. Complete the explanation on which is a better deal.
Mathematics
1 answer:
g100num [7]3 years ago
5 0

Answer:

Triangular prism is better deal as the volume of triangular prism is greater.

Step-by-step explanation:

Consider the provided information.

The volume of prism is: V=Bh

Where B is the base area and h is the height of the prism.

It is given that the trapezoidal prism with a base area of 33 square inches and a height of 4 inches.

The volume of the trapezoidal prism is:

V=33(4)\\V=132

Hence, the volume of trapezoidal prism is 132 in³.

Now calculate the volume of triangular prism with a base area of 34 square inches and a height of 5 inches.

The volume of the triangular prism is:

V=34(5)\\V=170

Hence, the volume of the triangular prism is 170 in³.

Triangular prism is better deal as the volume of triangular prism is greater.

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omeli [17]

Inequalities help us to compare two unequal expressions. The correct option is B.

<h3>What are inequalities?</h3>

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.


The given inequality -6 ≤y + 2x < 15 can be broken into two small inequality, as shown below.

  • -6 ≤y + 2x
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Now, if we plot the inequality as shown below, then the area in which both the shaded region overlap is the area of the this inequality.

Hence, the correct option is B.

Learn more about Inequality:

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6 0
2 years ago
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Jlenok [28]

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7 0
3 years ago
Bob is on his way home in his car. His drive is 16 miles long. He has finished one-fourth of the drive so far. How far has he dr
Georgia [21]

Answer:

He has driven 16 miles so far

Step-by-step explanation:

The unknown in your equation is the total length of Trey's drive, which we will call "x".

From the problem statement, you know that 12 is three-fourths of x so set up the following equation and solve for "x":

3/4(x) = 12

multiply both sides of the equation by 4/3 to isolate "x":

(4/3)(3/4)(x) = (12)(4/3)

therefore

x = (12)(4)/(3) = 16

7 0
2 years ago
A taxi charges $20 flat fee for the first 5 miles (even if it takes the rider one mile the cost is $20) and after that the addit
Free_Kalibri [48]
Ok so, we have the fact that 1.20 per mile Lets represent m as each additional mile so we have 1.20m which is That much per additional mile So For the first 5 functions we have f(1) = 20 f(2) = 20 f(3) = 20 f(4) = 20 f(5) = 20 Only for the first 5 miles though, since it is a flat fee. So for the additional miles we go back to what I said in the first Paragraph. 1.20m That is for additional miles, so that will be added to 20 So if you travel more than 5 miles the function looks like this: f(x) = 20 + 1.20m So the first 5 miles it is: f(x) = 20 For 7 mles the function would look like: f(7) = 20 + 1.20(2) It is a 2 because it is the additional mile, which is 2  hope this helps
7 0
3 years ago
PLZ HELP! I will give brainliest! A theater can hold 160 giants or 240 elves. If 100 giants are inside, how many elves can also
slava [35]

Answer:

150

Step-by-step explanation:

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160e = (100)(240)

160e = 24000

elves = 150

6 0
2 years ago
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