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almond37 [142]
3 years ago
12

Jordan is tracking a recent online purchase. The shipping costs state that the item will be shipped in a 24-inch long box with a

volume of 2,880 cubic inches. The width of the box is seven inches less than the height.
The volume of a rectangular prism is found using the formula V = lwh, where l is the length, w is the width, and h is the height
Mathematics
1 answer:
avanturin [10]3 years ago
4 0

Answer:

A. We are given that the length of the box is equal to 24 as indicted in the "24-inch long". From the given, it is also stated that the width of the box is 7 inches less than the height. If the height of the box is x, the width is then x - 7. The equation that would let us solve the problem is,

                           2880 = 24(x)(x - 7)

Simplifying,

                           2880 = 24x² - 168x

B. The value of x from the equation is 15. Thus, the answer is YES. 

Step-by-step explanation:

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What point divides the line segment between (10,-2) and (-6,6) into a ratio of 5:3
olganol [36]

Answer: (0,3)

Step-by-step explanation:

You follow the formulas to find the x and y of the dividing points.

Xp= x1+ a/a+b (x2-x1)

Xp= 10+5/5+3(-6-10)

Xp=10+5/8(-16)

Solve the problem above and you end up with “0” as your x.

Yp= y1+ a/a+b (y2-y1)

Yp= -2+ 5/8 (6+2)

Yp= -2+ 5/8 (8)

Solve this problem above and you end up with “3” as your y. Therefore, the point that divides the line segment between (10, -2) and (-6,6) into a ratio of 5:3 is (0, 3).

3 0
3 years ago
130% of the sum of 7 and a number n is equal to 91.
dybincka [34]
130\%(7+n)=91 \\
1.3(7+n)=91 \\
7+n=\frac{91}{1.3} \\
7+n=70 \\
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n=63
4 0
3 years ago
Read 2 more answers
An open-top rectangular box with square base is to be made from 100 square feet of material, as shown.
-Dominant- [34]

The largest possible volume of the given box is; 96.28 ft³

<h3>How to maximize volume of a box?</h3>

Let b be the length and the width of the base (length and width are the same since the base is square).

Let h be the height of the box.

The surface area of the box is;

S = b² + 4bh

We are given S = 100 ft². Thus;

b² + 4bh = 100

h = (100 - b²)/4b

Volume of the box in terms of b will be;

V(b) = b²h = b² * (100 - b²)/4b

V(b) = 25b - b³/4

The volume is maximum when dV/db = 0. Thus;

dV/db = 25 - 3b²/4

25 - 3b²/4 = 0

√(100/3) = b

b = 5.77 ft

Thus;

h = (100 - (√(100/3)²)/4(5.77)

h = 2.8885 ft

Thus;

Largest volume = [√(100/3)]² * 2.8885

Largest Volume = 96.28 ft³

Read more about Maximizing Volume at; brainly.com/question/1869299

#SPJ1

4 0
1 year ago
1. Sketch and/or explain the evidence you created for the Pythagorean Theorem. Be sure to explain how each part related to the P
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The Pythagorean theorem is the square of the length hypotenuse side of a right triangle equals the sum of the squares of the lengths of the other 2 sides. <span />
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A washer and a dryer cost $862
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The cost of dryer is $450 and the cost of washer is $412

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