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Natali [406]
3 years ago
10

A three-digit number ends in number 7. If you put the number 7 in the first position, the number will increase by 324. Find the

original three-digit number.
Mathematics
1 answer:
liq [111]3 years ago
5 0

Answer:

<u>The original three-digit number is 417</u>

Step-by-step explanation:

Let's find out the solution to this problem, this way:

x = the two digits that are not 7

Original number = 10x+7

The value of the shifted number = 700 + x

Difference between the shifted number and the original number = 324

Therefore, we have:

324 = (700 + x) - (10x + 7)

324 = 700 + x - 10x - 7

9x = 693 - 324 (Like terms)

9x = 369

x = 369/9

x = 41

<u>The original three-digit number is 417</u>

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Thomas buys a cardboard sheet that is 8 by 12 inches. Let x be the side length of each cutout. Using complete sentences, explain
jasenka [17]

Answer: V = (12in - 2*x)*(8 in - 2*x)*x

Step-by-step explanation:

So we have a rectangular cardboard sheet, and we cut four squares of side length x in each corner so we can make a box.

Remember that for a box of length L, width W and height H, the volume is:

V = L*W*H

In this case, the length initially is 12 inches, but we remove (from each end) x inches of the length, then the length of the box will be:

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And te height of the box will be equal to x, then:

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3 years ago
Which number line represents the solution set for the inequality –4(x 3) ≤ –2 – 2x?
Anna71 [15]

The solution to the inequality expression is x ≥ - 5

<h3>Inequality expressions</h3>

Inequality are expressions not separated by an equal sign. Given the inequality;

–4(x + 3) ≤ –2 – 2x

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Collect the like terms

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Divide both sides by -2

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Hence the solution to the inequality expression is x ≥ - 5

learn more on inequality here: brainly.com/question/24372553

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