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3 years ago

When three times the sum of a number and seven is increased by ten, the result is four. What is the number ?

Mathematics

1 answer:

densk [106]3 years ago

4 0

Answer:

x=9 :))

Step-by-step explanation:

First set up your equation.

"3 times" is multiplication

"THE SUM of A NUMBER and seven" that is parenthesis because of the multiplication before it

"is increased by ten" that is an addition at the end

Now we have 3(x+7)+10=4

Solve your equation!

Distribute the 3 now we have 3x+21+10=4

Add like terms

now it should look like this... 3x+31=4

Subtract 31 from both sides and it looks like...

3x=27

Divide by the x-value

x=9

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Natalia solved the problem 74.4/12=6.2. complete the model with partial products check Natalia's work using multiplication

tia_tia [17]

Answer:

Natalia's work is wrong.

Step-by-step explanation:

Natalia divided a decimal number by an entire number. Since division is a operation derived from multiplication, the best approach to check if work was good is multiplying the given result by denomination, that is:

1) $x = 6.2\times 12$ Given.

2) $x = \left(6+0.2\right)\times 12$ Definition of addition.

3) $x = 6\times 12 + 0.2\times 12$ Distributive property.

4) $x = 72 + \frac{2}{10}\times 12$ Definitions of multiplication and decimal number.

5) $x = 72 +[2\cdot (10)^{-1}]\cdot 12$ Definition of division/Associative property.

6) $x = 72 + [2\cdot 12]\cdot (10)^{-1}$ Associative property.

7) $x = 72 + 24\cdot 10^{-1}$ Definition of multiplication.

8) $x = 72 + \frac{24}{10}$ Definition of divsion.

9) $x = 72 + 2.4$ Defintion of decimal number.

10) $x = 74.4$ Definition of addition/Result

Natalia's work is wrong.

5 0

2 years ago

What is the LCD of 11/12 and 1/8

s344n2d4d5 [400]

11/12 and 1/8
we only need to look at the denominators which is
12 and 8

12 24 36
8 16 <span> 24
</span>so the LCD is 24

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3 years ago

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Ksivusya [100]

Answer:

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Step-by-step explanation:

8 0

2 years ago

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3 years ago

A gym employee is paid monthly. After working for three months, he had earned $4,500. To

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Answer:

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Step-by-step explanation:

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Then his monthly salary =$4500/3 =$1500

After six months he will earn = 6 × his monthly salary

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2 years ago