Solved on Jan 23, 2024

Find the equation that represents "The product of 3 and the difference of a number and 10 is 15". Options: $3(x-10)=15$ , $3x-10=15$ , $3+(x-10)=15$ , $3\frac{x}{10}=15$

STEP 1

Assumptions
1. We are looking for an equation that represents the given statement.
2. The statement involves a product, which indicates multiplication.
3. The statement involves a difference, which indicates subtraction.
4. "A number" in the statement represents an unknown value we will denote as $x$ .
5. The statement equates the expression to 15.

STEP 2

Translate the statement "The product of 3 and the difference of a number and 10" into a mathematical expression. The word "product" implies multiplication and "difference" implies subtraction.

STEP 3

Identify the difference part of the statement, which is "the difference of a number and 10". This can be written as $(x - 10)$ .

STEP 4

Now, take the product of 3 and the difference from STEP_3. This can be written as $3 \times (x - 10)$ .

STEP 5

The statement ends with "is 15", which implies equality. Therefore, the complete equation is $3 \times (x - 10) = 15$ .

STEP 6

Compare the equation from STEP_5 with the given options to find the match.

STEP 7

The equation $3 \times (x - 10) = 15$ matches with option (3) $3(x-10)=15$ .
The correct equation that matches the statement is $3(x-10)=15$ .

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Find the equation that represents "The product of 3 and the difference of a number and 10 is 15". Options: $3(x-10)=15$ , $3x-10=15$ , $3+(x-10)=15$ , $3\frac{x}{10}=15$

STEP 1

STEP 2

Translate the statement "The product of 3 and the difference of a number and 10" into a mathematical expression. The word "product" implies multiplication and "difference" implies subtraction.

STEP 3

Identify the difference part of the statement, which is "the difference of a number and 10". This can be written as $(x - 10)$ .

STEP 4

Now, take the product of 3 and the difference from STEP_3. This can be written as $3 \times (x - 10)$ .

STEP 5

The statement ends with "is 15", which implies equality. Therefore, the complete equation is $3 \times (x - 10) = 15$ .

STEP 6

Compare the equation from STEP_5 with the given options to find the match.

STEP 7

The equation $3 \times (x - 10) = 15$ matches with option (3) $3(x-10)=15$ .
The correct equation that matches the statement is $3(x-10)=15$ .

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Find the equation that represents "The product of 3 and the difference of a number and 10 is 15". Options: 3(x−10)=153(x-10)=153(x−10)=15, 3x−10=153x-10=153x−10=15, 3+(x−10)=153+(x-10)=153+(x−10)=15, 3x10=153\frac{x}{10}=15310x​=15

STEP 1

STEP 2

Translate the statement "The product of 3 and the difference of a number and 10" into a mathematical expression. The word "product" implies multiplication and "difference" implies subtraction.

STEP 3

Identify the difference part of the statement, which is "the difference of a number and 10". This can be written as (x−10) (x - 10) (x−10).

STEP 4

Now, take the product of 3 and the difference from STEP_3. This can be written as 3×(x−10) 3 \times (x - 10) 3×(x−10).

STEP 5

The statement ends with "is 15", which implies equality. Therefore, the complete equation is 3×(x−10)=15 3 \times (x - 10) = 15 3×(x−10)=15.

STEP 6

Compare the equation from STEP_5 with the given options to find the match.

STEP 7

The equation 3×(x−10)=15 3 \times (x - 10) = 15 3×(x−10)=15 matches with option (3) 3(x−10)=15 3(x-10)=15 3(x−10)=15.The correct equation that matches the statement is 3(x−10)=15 3(x-10)=15 3(x−10)=15.

Start learning now

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

Find the equation that represents "The product of 3 and the difference of a number and 10 is 15". Options: $3(x-10)=15$ , $3x-10=15$ , $3+(x-10)=15$ , $3\frac{x}{10}=15$

Identify the difference part of the statement, which is "the difference of a number and 10". This can be written as $(x - 10)$ .

Now, take the product of 3 and the difference from STEP_3. This can be written as $3 \times (x - 10)$ .

The statement ends with "is 15", which implies equality. Therefore, the complete equation is $3 \times (x - 10) = 15$ .

The equation $3 \times (x - 10) = 15$ matches with option (3) $3(x-10)=15$ .
The correct equation that matches the statement is $3(x-10)=15$ .