A party-favor bag must have a volume of 140 cubic inches and the dimensions that are shown below. The equation x cubed + 6 x squared minus 27 x = 140 can be used to find x. A bag has a height of x + 9 inches, a width of x minus 3 inches, and a length of x inches. What are the dimensions of the party-favor bag? Use a graphing calculator and a system of equations to find the answer. The length is 7 inches, the width is 4 inches, and the height is 16 inches. The length is 5 inches, the width is 2 inches, and the height is 14 inches. The length is 4 inches, the width is 1 inch, and the height is 13 inches. The length is 3 inches, the width is 0 inches, and the height is 12 inches.

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Step-by-step explanation:

i just know

Step-by-step explanation:

For this case we have the following equation for the volume:

x ^ 3 + 6x ^ 2-27x = 140  

Rewriting the equation we have:

x ^ 3 + 6x ^ 2-27x-140 = 0  

We factor the equation to find the roots of the polynomial.

We have then:

(x-5) (x + 4) (x + 7) = 0  

Then, we discard the negative roots, because the dimensions of the figure must be positive.

We have then that the length is:

x = 5  

The height is:

x + 9 = 5 + 9 = 14  

The width is:

x-3 = 5-3 = 2  

Thus, the dimensions are:

5 * 14 * 2  

The length is 5 inches, the width is 2 inches, and the height is 14 inches.

not enough information

step-by-step explanation:

we cannot know this, because the other students could have handed out 10 flyers, or they could have handed out 100. one way, the mean would go up, and another way, the mean would go down.

the figures below are made out of circles, semicircles, quarter … find the area and the perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approximations). remember that we'll also have to cut whatever areas we get in half, since we're only dealing

step-by-step explanation: