A store is selling ribbon by the yard. Mike bought 8 yards of red ribbon. Each yard cost $3.50. Complete and solve the working equation that represents the amount, a , Mike paid for buying 8 yards of ribbon.(1 point)

Question

a/8=___ 

a= ____ dollars

Answer 1

To find the amount \( a \) that Mike paid for 8 yards of ribbon, we can start with the equation that represents the total cost based on the price per yard.

1. The cost per yard is given as $3.50.
2. Mike bought 8 yards.

The total cost \( a \) can be expressed as:

\[ a = 8 \times 3.50 \]

Now, let's complete the working equation:

\[ \frac{a}{8} = 3.50 \]

Now, we solve for \( a \):

\[ a = 8 \times 3.50 = 28 \]

So the final answers are:

\[ \frac{a}{8} = 3.50 \] \[ a = 28 \text{ dollars} \]

Answer 2

A store is having its year-end sale. A shirt now costs $7.98, which is half of its original price. Complete and solve the working equation that represents the original price, p , of the shirt.(1 point)
____p=7.98

p= _____ dollars

Answer 3

Given that the shirt now costs $7.98, which is half of its original price, we can express the relationship in an equation.

Since the current price is half of the original price, we can state:

\[ \frac{p}{2} = 7.98 \]

Now we can solve for \( p \):

1. First, multiply both sides of the equation by 2 to isolate \( p \):

\[ p = 7.98 \times 2 \]

2. Calculate the right-hand side:

\[ p = 15.96 \]

So the working equation is:

\[ \frac{p}{2} = 7.98 \]

And the final answer is:

\[ p = 15.96 \text{ dollars} \]

Answer 4

____ p=7.98

Answer 5

To fill in the blank for the equation, you want to express that the current price ($7.98) is half of the original price \( p \). The correct equation is:

\[ \frac{p}{2} = 7.98 \]

or equivalently, you can write it in terms of the original price being equal to twice the sale price:

\[ p = 2 \times 7.98 \]

So to complete your sentence correctly, it will be:

\( \frac{p}{2} = 7.98 \)

And if we derive \( p \):

\[ p = 15.96 \text{ dollars} \]

Answer 6

Kendra’s age is half the age of Justin. Kendra is 13 years old. Which of the following equations represents Justin’s age, a ?(1 point)
Responses

2a = 13
2 a equals 13

13a = 2
13 a equals 2

a + 1/2 = 13
a plus Start Fraction 1 over 2 End Fraction equals 13

1/2a = 13

Answer 7

To find an equation that represents Justin's age \( a \) based on Kendra's age being half of his age, we need to set up the relationship correctly.

Given:

• Kendra's age is 13 years.
• Kendra's age is half of Justin's age.

This can be represented as:

\[ 13 = \frac{1}{2} a \]

To express this in terms of \( a \), we can rearrange the equation:

1. Multiply both sides by 2 to eliminate the fraction:

\[ 2 \times 13 = a \]

So we determine that:

\[ a = 26 \]

Now, matching our original equation \( 13 = \frac{1}{2} a \) to the provided options, we can rewrite it as:

\[ \frac{1}{2} a = 13 \]

Thus, the correct response is:

\(\frac{1}{2} a = 13\)

So, that would be the equation that represents Justin’s age \( a \).

Answer 8

Cooper will volunteer at a community food bank for two weeks. He will work 3.5 hours every day. Which equation represents the total number of hours, h , Cooper will volunteer at the community food bank? (1 point)
Responses

h/14 = 3.5
Start Fraction h over 14 End Fraction equals 3.5

h/2 = 3.5
Start Fraction h over 2 End Fraction equals 3.5

3.5h = 14
3.5 h equals 14

h/3.5 = 2

Answer 9

To determine the total number of hours \( h \) that Cooper will volunteer at the community food bank over two weeks, we can set up the equation based on the information given:

• Cooper will work for 2 weeks.
• Each week consists of 7 days, so in 2 weeks, there are \( 2 \times 7 = 14 \) days.
• He will work 3.5 hours each day.

Thus, the total number of hours he will volunteer can be calculated as:

\[ h = 14 \times 3.5 \]

To express this in terms of \( h \) in an equation, we can also rearrange it as:

\[ \frac{h}{14} = 3.5 \]

This equation represents that the total hours \( h \) divided by the number of days (14) equals the number of hours he works each day (3.5).

Therefore, the correct response is:

\( \frac{h}{14} = 3.5 \)

Answer 10

bought 3 1/2 pounds of oranges. Each pound costs $3.90. Which of the following equations represents the total cost, c, Vicky paid for the oranges and the amount of money she spent?

Answer 11

To find the total cost \( c \) Vicky paid for the oranges, we need to use the information given:

• Vicky bought \( 3 \frac{1}{2} \) pounds of oranges.
• Each pound costs $3.90.

First, convert \( 3 \frac{1}{2} \) pounds to an improper fraction or a decimal:

\[ 3 \frac{1}{2} = 3 + \frac{1}{2} = \frac{7}{2} \text{ pounds} \]

Now, the total cost \( c \) can be expressed as the product of the number of pounds and the cost per pound:

\[ c = \left(\frac{7}{2}\right) \times 3.90 \]

To express this as an equation, we can rearrange it to isolate \( c \):

The equation representing the total cost \( c \) is:

\[ c = 3.90 \times \frac{7}{2} \]

This can also be rewritten as:

\[ c = 3.90 \times 3.5 \]

If you are looking for a specific format for this equation, keep in mind that either form shows the relationship clearly.

So, the equations you can use to represent the total cost \( c \) would look something like:

1. \( c = 3.90 \times \left(3 \frac{1}{2}\right) \) or
2. \( c = 3.90 \times \frac{7}{2} \)

or simply the multiplication form.

If there are specific answer choices, please provide those for more tailored guidance on which equation to select.