Solved on Dec 07, 2023

Find the value of $m$ given that the product of $7$ and $m$ is $84$ .

STEP 1

Assumptions
1. The phrase "the product of 7 and $m$ " refers to the multiplication of 7 and a variable $m$ .
2. The phrase "is 84" indicates that the result of the product is equal to 84.

STEP 2

Translate the phrase "the product of 7 and $m$ " into a mathematical expression. The word "product" indicates multiplication.
$7 \times m$

STEP 3

Translate the word "is" into an equation. In mathematics, "is" corresponds to an equals sign "=".
$7 \times m = 84$

STEP 4

Write the equation using the standard notation for multiplication in algebra, which typically omits the multiplication sign.
$7m = 84$

STEP 5

Now, we need to solve for $m$ . To do this, we will divide both sides of the equation by 7 to isolate $m$ .
$\frac{7m}{7} = \frac{84}{7}$

STEP 6

Perform the division on both sides of the equation.
$m = 12$
The value of $m$ that satisfies the equation is 12.
The correct way to write the phrase as an equation is:
$7m = 84$
And the solution for $m$ is:
$m = 12$

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Find the value of $m$ given that the product of $7$ and $m$ is $84$ .

STEP 1

Assumptions
1. The phrase "the product of 7 and $m$ " refers to the multiplication of 7 and a variable $m$ .
2. The phrase "is 84" indicates that the result of the product is equal to 84.

STEP 2

Translate the phrase "the product of 7 and $m$ " into a mathematical expression. The word "product" indicates multiplication.
$7 \times m$

STEP 3

Translate the word "is" into an equation. In mathematics, "is" corresponds to an equals sign "=".
$7 \times m = 84$

STEP 4

Write the equation using the standard notation for multiplication in algebra, which typically omits the multiplication sign.
$7m = 84$

STEP 5

Now, we need to solve for $m$ . To do this, we will divide both sides of the equation by 7 to isolate $m$ .
$\frac{7m}{7} = \frac{84}{7}$

STEP 6

Perform the division on both sides of the equation.
$m = 12$
The value of $m$ that satisfies the equation is 12.
The correct way to write the phrase as an equation is:
$7m = 84$
And the solution for $m$ is:
$m = 12$

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Find the value of mmm given that the product of 777 and mmm is 848484.

STEP 1

Assumptions1. The phrase "the product of 7 and mmm" refers to the multiplication of 7 and a variable mmm.2. The phrase "is 84" indicates that the result of the product is equal to 84.

STEP 2

Translate the phrase "the product of 7 and mmm" into a mathematical expression. The word "product" indicates multiplication.7×m7 \times m7×m

STEP 3

Translate the word "is" into an equation. In mathematics, "is" corresponds to an equals sign "=".7×m=847 \times m = 847×m=84

STEP 4

Write the equation using the standard notation for multiplication in algebra, which typically omits the multiplication sign.7m=847m = 847m=84

STEP 5

Now, we need to solve for mmm. To do this, we will divide both sides of the equation by 7 to isolate mmm.7m7=847\frac{7m}{7} = \frac{84}{7}77m​=784​

STEP 6

Perform the division on both sides of the equation.m=12m = 12m=12The value of mmm that satisfies the equation is 12.The correct way to write the phrase as an equation is:7m=847m = 847m=84And the solution for mmm is:m=12m = 12m=12

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Find the value of $m$ given that the product of $7$ and $m$ is $84$ .

Assumptions
1. The phrase "the product of 7 and $m$ " refers to the multiplication of 7 and a variable $m$ .
2. The phrase "is 84" indicates that the result of the product is equal to 84.

Translate the phrase "the product of 7 and $m$ " into a mathematical expression. The word "product" indicates multiplication.
$7 \times m$

Translate the word "is" into an equation. In mathematics, "is" corresponds to an equals sign "=".
$7 \times m = 84$

Write the equation using the standard notation for multiplication in algebra, which typically omits the multiplication sign.
$7m = 84$

Now, we need to solve for $m$ . To do this, we will divide both sides of the equation by 7 to isolate $m$ .
$\frac{7m}{7} = \frac{84}{7}$

Perform the division on both sides of the equation.
$m = 12$
The value of $m$ that satisfies the equation is 12.
The correct way to write the phrase as an equation is:
$7m = 84$
And the solution for $m$ is:
$m = 12$