MATH SOLVE

3 months ago

Q:
# The quotient of a number and -7 decreased by 2, is 10.

Accepted Solution

A:

Hello!

This expression can be broken down into 3 separate parts:

1. "the quotient of a number and (-7)"

2. "decreased by 2"

3. "is 10"

We'll begin with the first part. The word "quotient" implies the result of a division problem. Therefore, this part can be represented by the following expression (let "x" represent the unknown number):

[tex] \frac{x}{(-7)} [/tex]

Now we'll move on to the second part. If something is decreased by a value of 2, we know that 2 is being subtracted. Therefore, this part can be represented by the following expression:

– 2

Now we'll move on to the third and final part. The phrase "is 10" implies that the operations preceding this part are equal to 10. Therefore, this part can be represented by the following expression:

= 10

Finally, put the three parts together to create the following equation:

[tex] \frac{x}{(-7)} [/tex] – 2 = 10

The equation has now been fully translated. If, however, you are required to find the unknown value (x), begin by adding 2 to both sides of the equation:

[tex] \frac{x}{(-7)} [/tex] = 12

Now multiply both sides by (-7):

x = (-84)

We have now proven that the unknown number is equal to (-84).

I hope this helps!

This expression can be broken down into 3 separate parts:

1. "the quotient of a number and (-7)"

2. "decreased by 2"

3. "is 10"

We'll begin with the first part. The word "quotient" implies the result of a division problem. Therefore, this part can be represented by the following expression (let "x" represent the unknown number):

[tex] \frac{x}{(-7)} [/tex]

Now we'll move on to the second part. If something is decreased by a value of 2, we know that 2 is being subtracted. Therefore, this part can be represented by the following expression:

– 2

Now we'll move on to the third and final part. The phrase "is 10" implies that the operations preceding this part are equal to 10. Therefore, this part can be represented by the following expression:

= 10

Finally, put the three parts together to create the following equation:

[tex] \frac{x}{(-7)} [/tex] – 2 = 10

The equation has now been fully translated. If, however, you are required to find the unknown value (x), begin by adding 2 to both sides of the equation:

[tex] \frac{x}{(-7)} [/tex] = 12

Now multiply both sides by (-7):

x = (-84)

We have now proven that the unknown number is equal to (-84).

I hope this helps!