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abruzzese [7]
3 years ago
12

A number is divided by 5, then added to 18. The answer is 9 less than 62. What is the original number?

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
4 0

Answer: The original number is 175

Step-by-step explanation:

The number will be represent by x .

The number is being divided by 5  so we can represent by the expression x/5.

After than is being added to 18  so we will add 18 to the expression.

x/5 + 18 .

It has to equal to 9 less than 62 and 9 less than 62 is the same as the expression  62 -9.

Whole equation will be   x/5 + 18 = 62 - 9  

\frac{x}{5} + 18 = 62 - 9     Combine like terms on the right side

x/5 + 18 = 53        Subtract 18 from both sides

      -18     -18

x/5 = 35     Multiply both side by 5.

x = 175

This means the original number is 175.

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The figure below is the two dimensional net of a rectangular prism. what is the surface are of the net of his rectangular prism
Nostrana [21]

Answer:

28 square units

Step-by-step explanation:

1 x 2 = 2

2 x 4 = 8

4 x 1 = 4

each box it on the figure twice so

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5 0
4 years ago
Read 2 more answers
∠A and \angle B∠B are supplementary angles. If m\angle A=(7x+10)^{\circ}∠A=(7x+10) ∘ and m\angle B=(7x-26)^{\circ}∠B=(7x−26) ∘ ,
blsea [12.9K]

Answer:

108 degrees

Step-by-step explanation:

Since angles A and B are supplementary, they both add up to 180. Angle A = 7x+10, and angle B = 7x-26. You can set up the equation A + B = 180, and then plug in angles A and B, which gives you 7x+10 + 7x-26 = 180. Then you just need to isolate x:

Combine like terms: 14x - 16 = 180

Add 16 to both sides: 14x = 196

Divide both sides by 14: x = 14

Now that you know x, you can plug it into the expression for angle A (7x+10):

A = 7(14) + 10 = 98+10 = 108

5 0
3 years ago
Tim and Caitlin are preparing to get married. Caitlin has a car payment of $300 per month, which is 10% of her monthly income. A
Misha Larkins [42]

Answer:

A. $2,000

Step-by-step explanation:

Let x represent Caitlin's monthly income and y represent Tim's monthly income.

We have been given that Caitlin has a car payment of $300 per month, which is 10% of her monthly income.

We can represent this information in an equation as:

\frac{10}{100}x=300

0.10x=300

x=\frac{300}{0.10}

x=3000

Therefore, Caitlin's monthly income would be $3000.

We are also told that after Caitlin is married to Tim, her car payment will only be 6% of their combined monthly income.

This means that 6% of x plus y is equal to 300.

\frac{6}{100}(x+y)=300

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180+0.06y=300

180-180+0.06y=300-180

0.06y=120

y=\frac{120}{0.06}

y=2000

Therefore, Tim's monthly income is $2,000 and option A is the correct choice.

5 0
4 years ago
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olga_2 [115]

Answer:

  8

Step-by-step explanation:

Before Fred bought 9 more, he had 4. Since 4 is half the number he started with, he started with 8 comic books.

3 0
3 years ago
What is - 1/8 as a terminating decimal
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Answer:

1/8 as a terminating decimal is 0.125

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