Question Bakery has a 13% off sale on bread. You buy 6 loaves. Let $\mathrm{b}$ be the original price. Expand $6(b-0.13b)$ . What do the terms represent?

Studdy Solution

STEP 1

Assumptions
1. The original price of a loaf of bread is represented by $b$ .
2. The discount on each loaf of bread is 13%.
3. The total number of loaves of bread purchased is 6.
4. We need to expand the expression $6(b - 0.13b)$ .
5. The terms of the expansion represent the total cost and the total discount.

STEP 2

First, we need to understand the expression $6(b - 0.13b)$ . This represents the total cost after applying the discount to 6 loaves of bread.

STEP 3

To expand the expression, we distribute the 6 across the terms inside the parentheses.
$6(b - 0.13b) = 6 \cdot b - 6 \cdot 0.13b$

STEP 4

Now, we perform the multiplication for each term.
$6 \cdot b = 6b$ $6 \cdot 0.13b = 0.78b$

STEP 5

Substitute the results back into the expression.
$6(b - 0.13b) = 6b - 0.78b$

STEP 6

The expanded expression is $6b - 0.78b$ . The first term, $6b$ , represents the total original price for 6 loaves of bread without the discount. The second term, $-0.78b$ , represents the total discount applied to the 6 loaves of bread.

STEP 7

Looking at the given options, the correct expansion that matches our result is:
A. $6b - 0.78b$
This is the correct expansion of the expression $6(b - 0.13b)$ .

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Question Bakery has a 13% off sale on bread. You buy 6 loaves. Let $\mathrm{b}$ be the original price. Expand $6(b-0.13b)$ . What do the terms represent?

Studdy Solution

STEP 1

STEP 2

First, we need to understand the expression $6(b - 0.13b)$ . This represents the total cost after applying the discount to 6 loaves of bread.

STEP 3

To expand the expression, we distribute the 6 across the terms inside the parentheses.
$6(b - 0.13b) = 6 \cdot b - 6 \cdot 0.13b$

STEP 4

Now, we perform the multiplication for each term.
$6 \cdot b = 6b$ $6 \cdot 0.13b = 0.78b$

STEP 5

Substitute the results back into the expression.
$6(b - 0.13b) = 6b - 0.78b$

STEP 6

The expanded expression is $6b - 0.78b$ . The first term, $6b$ , represents the total original price for 6 loaves of bread without the discount. The second term, $-0.78b$ , represents the total discount applied to the 6 loaves of bread.

STEP 7

Looking at the given options, the correct expansion that matches our result is:
A. $6b - 0.78b$
This is the correct expansion of the expression $6(b - 0.13b)$ .

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Question Bakery has a 13% off sale on bread. You buy 6 loaves. Let b\mathrm{b}b be the original price. Expand 6(b−0.13b)6(b-0.13b)6(b−0.13b). What do the terms represent?

Studdy Solution

STEP 1

STEP 2

First, we need to understand the expression 6(b−0.13b)6(b - 0.13b)6(b−0.13b). This represents the total cost after applying the discount to 6 loaves of bread.

STEP 3

To expand the expression, we distribute the 6 across the terms inside the parentheses.6(b−0.13b)=6⋅b−6⋅0.13b6(b - 0.13b) = 6 \cdot b - 6 \cdot 0.13b6(b−0.13b)=6⋅b−6⋅0.13b

STEP 4

Now, we perform the multiplication for each term.6⋅b=6b6 \cdot b = 6b6⋅b=6b 6⋅0.13b=0.78b6 \cdot 0.13b = 0.78b6⋅0.13b=0.78b

STEP 5

Substitute the results back into the expression.6(b−0.13b)=6b−0.78b6(b - 0.13b) = 6b - 0.78b6(b−0.13b)=6b−0.78b

STEP 6

The expanded expression is 6b−0.78b6b - 0.78b6b−0.78b. The first term, 6b6b6b, represents the total original price for 6 loaves of bread without the discount. The second term, −0.78b-0.78b−0.78b, represents the total discount applied to the 6 loaves of bread.

STEP 7

Looking at the given options, the correct expansion that matches our result is:A. 6b−0.78b6b - 0.78b6b−0.78bThis is the correct expansion of the expression 6(b−0.13b)6(b - 0.13b)6(b−0.13b).

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Studdy solves anything!

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

Question Bakery has a 13% off sale on bread. You buy 6 loaves. Let $\mathrm{b}$ be the original price. Expand $6(b-0.13b)$ . What do the terms represent?

First, we need to understand the expression $6(b - 0.13b)$ . This represents the total cost after applying the discount to 6 loaves of bread.

To expand the expression, we distribute the 6 across the terms inside the parentheses.
$6(b - 0.13b) = 6 \cdot b - 6 \cdot 0.13b$

Now, we perform the multiplication for each term.
$6 \cdot b = 6b$ $6 \cdot 0.13b = 0.78b$

Substitute the results back into the expression.
$6(b - 0.13b) = 6b - 0.78b$

The expanded expression is $6b - 0.78b$ . The first term, $6b$ , represents the total original price for 6 loaves of bread without the discount. The second term, $-0.78b$ , represents the total discount applied to the 6 loaves of bread.

Looking at the given options, the correct expansion that matches our result is:
A. $6b - 0.78b$
This is the correct expansion of the expression $6(b - 0.13b)$ .