Ricki decides to mow lawns in his neighborhood. he goes to the gas station and fills a 15-gallon tank of gasoline for $45.50. determine the proportion used to find the cost of one gallon of gasoline.

Question

?/?=?/1 gallon
fill the question marks with these answer choices.
a. 15 gallons
b. $45.50
c. x dollars
d. x gallons

Answer 1

To determine the proportion used to find the cost of one gallon of gasoline, we want to set it up in the form of a ratio where we compare the total cost to the total gallons.

The proportion can be represented as:

\[ \frac{15 \text{ gallons}}{45.50 \text{ dollars}} = \frac{1 \text{ gallon}}{x \text{ dollars}} \]

In this proportion, we are comparing the 15 gallons to the total cost of $45.50, and we want to find the cost (x dollars) for 1 gallon.

So, filling in the question marks with the answer choices, we have:

\[ \frac{15 \text{ gallons}}{45.50 \text{ dollars}} = \frac{1 \text{ gallon}}{x \text{ dollars}} \]

Answer choices would be:

• a. 15 gallons (for the first part)
• b. $45.50 (for the second part)
• c. x dollars (for the third part, representing the unknown cost per gallon)
• d. x gallons (not applicable here since we are looking for the cost per gallon)

Thus, the final proportion is:

\[ \frac{15 \text{ gallons}}{45.50 \text{ dollars}} = \frac{1 \text{ gallon}}{x \text{ dollars}} \]

So, for the question marks:

1. First '?': 15 gallons
2. Second '?': $45.50
3. Third '?': x dollars
4. Fourth '?': 1 gallon (but only 1 gallon as the unit).

In summary, fill in the ratio as follows: \[ \frac{15 \text{ gallons}}{45.50 \text{ dollars}} = \frac{1 \text{ gallon}}{x \text{ dollars}} \]

Answer 2

what is the answer to (x dollars)

Answer 3

To determine \(x\) (the cost of one gallon of gasoline), we can use the proportion we set up earlier:

\[ \frac{15 \text{ gallons}}{45.50 \text{ dollars}} = \frac{1 \text{ gallon}}{x \text{ dollars}} \]

To solve for \(x\), we can cross-multiply:

\[ 15 \text{ gallons} \times x \text{ dollars} = 1 \text{ gallon} \times 45.50 \text{ dollars} \]

This simplifies to:

\[ 15x = 45.50 \]

Now, we divide both sides by 15 to isolate \(x\):

\[ x = \frac{45.50}{15} \]

Calculating this gives:

\[ x = 3.0333\ldots \approx 3.03 \]

So, the cost of one gallon of gasoline is approximately $3.03.

Answer 4

there are 168 members in an orchestra, and 3/8 of them play the violin. if each non-violin member practices 40 hours each week. how many hours do all of the violinists practice if they only practice 2/5 of the amount of time?
step 1: determine how many members play the violin.
? violinists
step 2: determine how much time each violinists spends practicing each week .
? hours
step 3: use the answers from steps 1 & 2 to determine the total spent practicing by all violinists.
? hours

Answer 5

Let's solve the problem step by step.

Step 1: Determine how many members play the violin.

Given that \( \frac{3}{8} \) of the orchestra members play the violin and there are 168 members:

\[ \text{Number of violinists} = \frac{3}{8} \times 168 \]

Calculating this:

\[ \text{Number of violinists} = \frac{3 \times 168}{8} = \frac{504}{8} = 63 \]

So, 63 violinists play in the orchestra.

Step 2: Determine how much time each violinist spends practicing each week.

We know that each non-violin member practices 40 hours each week. To find out how many non-violin members there are:

\[ \text{Number of non-violin members} = 168 - 63 = 105 \]

Because each non-violin member practices 40 hours, the total practicing hours for all non-violin members is:

\[ \text{Total non-violin practice time} = 105 \text{ members} \times 40 \text{ hours/member} = 4200 \text{ hours} \]

Now, the question states that the violinists practice only \( \frac{2}{5} \) of the amount of time that the non-violin members practice.

Thus, the practice time for each violinist per week is:

\[ \text{Practice time for each violinist} = \frac{2}{5} \times 40 = \frac{80}{5} = 16 \text{ hours} \]

Step 3: Use the answers from Steps 1 & 2 to determine the total time spent practicing by all violinists.

To find the total practice time for all violinists:

\[ \text{Total practice time for all violinists} = \text{Number of violinists} \times \text{Practice time for each violinist} \]

Calculating this gives:

\[ \text{Total practice time for all violinists} = 63 \text{ violinists} \times 16 \text{ hours/violinist} = 1008 \text{ hours} \]

Final Answers:

1. 63 violinists.
2. 16 hours each.
3. 1008 hours in total spent practicing by all violinists.

Answer 6

Valentina purchased a short $29.00 determine the proportion to use to find the tax she will pay if the tax rate is 5.5%.
?/100=?/?
fill the question marks with these answer choices.
a. $29.00
b. 5.5
c. 0.055
d. x percent
e. x dollars
f. 100
determine the total price of the shirt including the tax.
$? round the answer to the nearest hundredth.

Answer 7

To determine the proportion to find the tax Valentina will pay, we can use the following format:

The proportion can be set up as follows, where the goal is to find the amount of tax (x dollars):

\[ \frac{5.5}{100} = \frac{x}{29.00} \]

Filling in the Question Marks

Using the choices provided:

• The first question mark can be filled in with 5.5 (the percentage tax rate).
• The second question mark can be filled with 100 (representing the total percent).
• One of the remaining question marks becomes x dollars (the tax amount).
• The last question mark will be $29.00 (the sale price of the shirt).

So the proportion we fill in is:

\[ \frac{5.5}{100} = \frac{x}{29.00} \]

Determine the Tax Amount

Next, we can cross-multiply to find \( x \):

\[ 5.5 \times 29.00 = 100 \times x \]

Calculating the left side:

\[ 159.5 = 100x \]

Now, divide both sides by 100:

\[ x = \frac{159.5}{100} = 1.595 \]

Total Price Including Tax

Now we can calculate the total price of the shirt including the tax:

\[ \text{Total Price} = \text{Original Price} + \text{Tax} \] \[ \text{Total Price} = 29.00 + 1.595 \]

Calculating this gives:

\[ \text{Total Price} \approx 29.00 + 1.60 = 30.60 \]

Final Answers

• The tax amount is $1.60 (when rounded to the nearest hundredth).
• The total price of the shirt including the tax is $30.60.

Answer 8

The regular price of a novel is $24.95. it is currently on sale for $14.97. complete the proportion
to determine the percent of change.
change/100=?/?
a 24.95-14.97
b.14.97-24.95
c. 24.95
d. 14.97
what is the percent of change in this situation?
__% round the answer to the nearest whole precent

Answer 9

To complete the proportion to determine the percent of change, we start by calculating the change in price:

1. Determine the amount of change: The regular price is $24.95, and the sale price is $14.97.

   \[ \text{Change} = \text{Regular Price} - \text{Sale Price} \] \[ \text{Change} = 24.95 - 14.97 = 9.98 \]

2. Set up the proportion: To find the percent of change, we can use the formula:

   \[ \frac{\text{Change}}{\text{Original Price}} = \frac{\text{Percent of Change}}{100} \]

   In this case, we fill in the proportion as follows:

   \[ \frac{9.98}{24.95} = \frac{p}{100} \]

   Where \( p \) is the percent of change we want to find.

3. Filling in the Question Marks: With the calculated values, we can now fill the proportion with the provided answer choices:

   \[ \frac{9.98}{24.95} = \frac{p}{100} \]

   Therefore, we fill in the proportion:

   \[ \text{Change} = 24.95 - 14.97 \quad (a) \] \[ 100 = 100 \quad (c) \] \[ 24.95 \text{ is the original price} \ \]

   So the complete proportion is: \[ \frac{9.98}{24.95} = \frac{p}{100} \]

4. Calculate the Percent of Change: Cross-multiply to find \( p \):

   \[ 9.98 \times 100 = 24.95 \times p \]

   \[ 998 = 24.95p \]

   Now, divide by 24.95:

   \[ p = \frac{998}{24.95} \approx 40.04 \]

5. Final Answer: Rounding \( p \) to the nearest whole percent gives:

   \[ p \approx 40% \]

So, the percent of change in this situation is approximately 40%.

Answer 10

The regular price of a novel is $24.95. it is currently on sale for $14.97. complete the proportion
to determine the percent of change.
change/100=?/?
use the answer choices for the question mark
a 24.95-14.97
b.14.97-24.95
c. 24.95
d. 14.97

Answer 11

To determine the percent of change from the regular price to the sale price using a proportion, we first need to identify the change in price and the original price.

Step 1: Calculate the Change in Price

1. Regular Price: $24.95
2. Sale Price: $14.97

The change in price is given by:

\[ \text{Change} = \text{Regular Price} - \text{Sale Price} \] \[ \text{Change} = 24.95 - 14.97 = 9.98 \]

Step 2: Set Up the Proportion

To determine the percent of change, we can set up the proportion relating the change, the original price, and the percentage. The formula for percent of change is:

\[ \frac{\text{Change}}{\text{Original Price}} = \frac{\text{Percent of Change}}{100} \]

Step 3: Fill in the Proportion

Now we can fill in the proportion as follows:

\[ \frac{9.98}{24.95} = \frac{p}{100} \]

From the answer choices provided, we match the Change and the Original Price with the correct options:

• Change is \( 24.95 - 14.97 \): (a)
• Original Price is \( 24.95 \): (c)

Thus, the completed proportion is:

\[ \frac{24.95 - 14.97}{100} = \frac{p}{24.95} \]

Summary of Choices:

• Change: a. \( 24.95 - 14.97 \)
• Percent Change: \( p \) as placeholder
• Original Price: c. \( 24.95 \)

Final Representation:

\[ \frac{24.95 - 14.97}{100} = \frac{p}{24.95} \]

This means:

• Change: \( a \) - \( 24.95 - 14.97 \)
• Original Price: \( c \) - \( 24.95 \)

Conclusion:

To summarize the filled proportion for percent of change:

\[ \text{change/100 = (24.95 - 14.97)/(?)} \] Where the correct option for the question mark in the denominator is \( 24.95 \) (option c).