Luke has some boxes that are all cubes of the same size.

Mathematics

1 answer:

Scrat [10]3 years ago

8 0

Answer:

The height of a pile of 5 equal sized boxes is 95cm.

Step-by-step explanation:

We know that 1 pile of 4 is 76 cm. All we have to is divide this by 4 to find how tall one box is.

76/4 = 19.

This means that one box is 19 cm tall.

Now we will add 19cm to 76cm.

19 + 76 = 95

The height of a pile of 5 equal sized boxes is 95cm.

~CaityConcerto

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Answer:

Equation 1 has exactly one solution.
Equation 2 has infinitely many solutions.
Equation 3 has no solution.

Step-by-step explanation:

We are given three equations to solve. First, let's solve the equations for x.

Equation 1

$\displaystyle{6x+8=7x+13}\\\\7x + 13 = 6x + 8\\\\x + 13 = 8\\\\\bold{x = -5}$

Therefore, we determined that for the first equation, x = -5. We can check our solution by substituting it back into the original equation.

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$6(5)+8=7(5)+13\\\\30 + 8 = 35 + 13\\\\38 = 48 \ \text{X}$

Therefore, for Equation 1, there is exactly one solution.

Equation 2

$6 x + 8 = 2 ( 3 x + 4 )\\\\6x + 8 = 6x + 8\\\\0 + 8 = 8\\\\8 = 8 \ \checkmark$

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$6(-3) + 8 = 2 ( 3(-3) + 4 )\\\\-18 + 8 = 2(-9+4)\\\\-18 + 8 = 2(-5)\\\\-18 + 8 = -10\\\\-18 = -18 \ \checkmark$