Mr. franklin paid $33.20 for 8 gallons of gas. What is the price of 1 gallon ?

The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.

To find the factors of a number, we identify all the whole numbers that can be divided evenly into the original number.

The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24

The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30

Thus the factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.

The total interest paid on a $20,000 loan at 5% simple interest over 4 years is $4,000.

To solve part (a) of the question, we calculate the amount of interest paid on a $20,000 loan over 4 years with a 5% simple interest rate:

Calculate the annual interest: $20,000 * 5% = $1,000.

Multiply the annual interest by the number of years: $1,000 * 4 years = $4,000.

The total interest paid after 4 years is $4,000.

For part (b), to find the interest saved by paying off the loan after 3 years instead of 4 years, we do the following:

Calculate the interest for 3 years: $1,000  imes 3 years = $3,000.

Deduct the 3-year interest from the 4-year interest: $4,000 - $3,000 = $1,000.

The interest saved by paying the loan off after 3 years is $1,000.

The answer is $3.15.

The expression and the evaluation are that represents the total amount of time should be

[tex]= 35\times 3 + 55\times 2\\\\= 105 + 110[/tex]

and 215 minutes.  

Given that,

Based on the above information, the calculation is as follows:

[tex]= 35\times 3 + 55\times 2\\\\= 105 + 110[/tex]

= 215 minutes

Therefore we can conclude that the expression that represents the total amount of time should be 215 minutes.  

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To evaluate the expression (12x + 8) / 4 for x = 2, you multiply 12 by 2, add 8, and then divide by 4. The final answer is 8, which corresponds to option D.

To evaluate the expression (12x + 8) / 4 for x = 2, you substitute the value of x into the expression and then simplify. First, multiply 12 by 2 to get 24, then add 8 to get 32. After that, divide 32 by 4 to get the final answer.

Here is the step-by-step calculation:

The correct answer is D) 8.

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Final answer:

The expression representing the total weekly allowance Steven and Jill receive for doing the same number of chores is 14 + 5c, where c represents the number of chores done.

Explanation:

The question asks for an expression to represent the total allowance that Steven and Jill receive each week if they do the same number of chores. Steven gets a fixed allowance of $8 plus an additional $3 for each chore he completes, while Jill gets a fixed allowance of $6 plus $2 for each chore she completes.

Let's represent the number of chores they each do with the variable c. The expression for Steven's weekly allowance would be 8 + 3c, and the expression for Jill's weekly allowance would be 6 + 2c. To find the total combined allowance, we simply add the two expressions:

8 + 3c + 6 + 2c

Simplifying this expression, we combine like terms:

14 + 5c

This expression represents the total weekly allowance that their parents give to Steven and Jill together, if they do the same number of chores.

Carlos can paint 6 rooms with the available 4 1/2 gallons of paint.

To paint one 10 ft by 10 ft room, Carlos uses 3/4 gallons of paint. To find how many rooms Carlos can paint with the available 4 1/2 gallons of paint, we divide the total paint available by the paint used per room.
Number of rooms = Total paint available / Paint used per room
Number of rooms = 4 1/2 / 3/4
Number of rooms = 9/2 / 3/4
To divide fractions, multiply by the reciprocal of the divisor
Number of rooms = 9/2 * 4/3
Number of rooms = 36/6
Number of rooms = 6

Carlos can paint 6 rooms with the available 4 1/2 gallons of paint. Therefore, the correct answer is C. 6 rooms.

To determine how long the pizzeria's cheese supply will last, we divide 250 pounds by the daily usage of 20 5/6 pounds, which equals approximately 12 days.

To calculate how long the pizzeria's 250 pounds of mozzarella cheese will last, given that they use 20 5/6 pounds of cheese every day, we have to divide the total amount of cheese by the daily usage. The fraction 5/6 needs to be converted to a decimal for ease of calculation. So 5/6 is approximately 0.833. Therefore, the daily usage is 20 + 0.833, which is 20.833 pounds.

Next, we divide the total amount of cheese by the daily usage to find how many days the cheese will last:

250 ÷ 20.833 ≈ 12 days

Therefore, the mozzarella cheese will last for approximately 12 days.

To find an equivalent fraction to 2/5 with a denominator of 15, multiply both the numerator (2) and the denominator (5) by 3, resulting in the fraction 6/15.

To find a fraction equivalent to 2/5 that has a denominator of 15, we need to scale up the original fraction so that the denominator becomes 15. This is done by finding a number that you can multiply the denominator by to get 15. Since 5 × 3 = 15, we multiply both the numerator and denominator of 2/5 by 3 to maintain the same value.

Here's the calculation:

Therefore, the fraction that is equivalent to 2/5 with a denominator of 15 is 6/15.

Mateo bought 0.84 pounds more of Fuji apples than Golden Delicious apples, calculated by subtracting 3.7 pounds (Golden Delicious) from 4.54 pounds (Fuji).

Mateo bought 4.54 pounds of Fuji apples and 3.7 pounds of Golden Delicious apples. To find out how many more pounds of Fuji apples he bought than Golden Delicious apples, you can simply subtract the weight of the Golden Delicious apples from the weight of the Fuji apples:

4.54 pounds (Fuji apples) - 3.7 pounds (Golden Delicious apples) = 0.84 pounds.

Mateo bought 0.84 pounds more of Fuji apples than Golden Delicious apples. This means that he purchased nearly 0.84 pounds extra of Fuji apples compared to the Golden Delicious variety.

It's important to remember that this calculation involves a straightforward subtraction of weights and doesn't require any complex mathematical operations. So, Mateo purchased approximately 0.84 pounds more of Fuji apples than Golden Delicious apples.

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