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katovenus [111]
3 years ago
13

the volume of a square shipping container is 15,625 cubic inches. Find the edge length of the shipping container

Mathematics
1 answer:
Llana [10]3 years ago
7 0

Answer:

24.9 repeating in

Step-by-step explanation:

\sqrt[3]{15,625} = 24.9 repeating.

Basically, just find the cube root of 15,625. Since, the object is a cube, the volume formula is V=a^{3}. Just undo the a^{3} by finding the cube root. Hope this helps!!

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Solve each inequality, and then drag the correct solution graph to the inequality.
Nesterboy [21]

The correct solution graph to the inequalities are

4(9x-18)>3(8x+12)  →  C

-\frac{1}{3}(12x+6) \geq -2x +14  → A

1.6(x+8)\geq 38.4  →  B

(NOTE: The graphs are labelled A, B and C from left to right)

For the first inequality,

4(9x-18)>3(8x+12)

First, clear the brackets,

36x-72>24x+36

Then, collect like terms

36x-24x>36+72\\12x >108

Now divide both sides by 12

\frac{12x}{12} > \frac{108}{12}

∴ x > 9

For the second inequality

-\frac{1}{3}(12x+6) \geq -2x +14

First, clear the fraction by multiplying both sides by 3

3 \times[-\frac{1}{3}(12x+6)] \geq3 \times( -2x +14)

-1(12x+6) \geq -6x +42

Now, open the bracket

-12x-6 \geq -6x +42

Collect like terms

-6 -42\geq -6x +12x

-48\geq 6x

Divide both sides by 6

\frac{-48}{6} \geq \frac{6x}{6}

-8\geq x

∴ x\leq  -8

For the third inequality,

1.6(x+8)\geq 38.4

First, clear the brackets

1.6x + 12.8\geq 38.4

Collect likes terms

1.6x \geq 38.4-12.8

1.6x \geq 25.6

Divide both sides by 1.6

\frac{1.6x}{1.6}\geq  \frac{25.6}{1.6}

∴ x \geq  16

Let the graphs be A, B and C from left to right

The first graph (A) shows x\leq  -8 and this matches the 2nd inequality

The second graph (B) shows x \geq  16 and this matches the 3rd inequality

The third graph (C) shows x > 9 and this matches the 1st inequality

Hence, the correct solution graph to the inequalities are

4(9x-18)>3(8x+12)  →  C

-\frac{1}{3}(12x+6) \geq -2x +14  → A

1.6(x+8)\geq 38.4  →  B

Learn more here: brainly.com/question/17448505

8 0
2 years ago
Use the quadratic formula to solve 2x^2 + 2x - 12?
Firdavs [7]

Answer:

Step-by-step explanation:

(x+2)(x-3)

8 0
3 years ago
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A club sold $555 worth of
anastassius [24]

Answer:

111

Step-by-step explanation:

$555 ÷ $5 = 111

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What is the square root of 2x plus the square root of 2x
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Answer:

i just took the test, so its b. 84

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4. Find the value of x.<br> A) 6 √ 2<br> B) 12 √ 3<br> C) 24 √ 3<br> D) 12
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A^2+b^2=c^2
24^2=12^2+x^2
sqrt(576-144)=x
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2 years ago
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