Scott is making costumes for a dance recital. He has 12 yards of purple fabric. Each costume 3/4 uses


yard of purple fabric. How many costumes can Scott make?
A.
3

B.
4

C.
9

D.
16

9 answers

To determine how many costumes Scott can make with 12 yards of fabric where each costume uses \( \frac{3}{4} \) yard, we can perform the following calculation:

  1. Start with the total amount of fabric Scott has: \[ \text{Total fabric} = 12 \text{ yards} \]

  2. Determine how much fabric is used for each costume: \[ \text{Fabric per costume} = \frac{3}{4} \text{ yard} \]

  3. To find out how many costumes Scott can make, we divide the total fabric by the amount of fabric used per costume: \[ \text{Number of costumes} = \frac{12 \text{ yards}}{\frac{3}{4} \text{ yard/costume}} \]

  4. To divide by a fraction, you can multiply by its reciprocal: \[ \text{Number of costumes} = 12 \text{ yards} \times \frac{4}{3} = \frac{12 \times 4}{3} = \frac{48}{3} = 16 \]

So, Scott can make 16 costumes. The answer is:

D. 16

are you sure plz be right don't lie AI

Let’s double-check the calculation to ensure accuracy.

Scott has 12 yards of fabric, and each costume uses \( \frac{3}{4} \) yard of fabric.

  1. To find out how many costumes Scott can make, we need to divide the total fabric by the amount of fabric used for each costume:

    \[ \text{Number of costumes} = \frac{\text{Total fabric}}{\text{Fabric per costume}} = \frac{12 \text{ yards}}{\frac{3}{4} \text{ yard/costume}} \]

  2. Dividing by a fraction is equivalent to multiplying by its reciprocal:

    \[ = 12 \text{ yards} \times \frac{4}{3} = 12 \times \frac{4}{3} = \frac{48}{3} = 16 \]

So yes, Scott can make 16 costumes.

The calculations confirm the previous answer, which is:

D. 16.

Thank you for your patience!

Mrs. Patel has two plants. The first plant has a height of 0.6 meter. The height of the second plant is 0.25 meter shorter.

What is the height of Mrs. Patel’s second plant?

A.
0.3 meter

B.
0.35 meter

C.
0.4 meter

D.
0.85 meter

To find the height of Mrs. Patel's second plant, we need to subtract the difference in height from the height of the first plant.

  1. The height of the first plant is 0.6 meters.
  2. The second plant is 0.25 meters shorter than the first plant.

Now we can calculate the height of the second plant:

\[ \text{Height of second plant} = \text{Height of first plant} - \text{Difference} \] \[ \text{Height of second plant} = 0.6 , \text{meters} - 0.25 , \text{meters} \]

Subtracting these values, we get:

\[ 0.6 - 0.25 = 0.35 , \text{meters} \]

Thus, the height of Mrs. Patel’s second plant is 0.35 meters. The answer is:

B. 0.35 meter.

are you sure

Let’s double-check the calculation step-by-step to confirm the height of Mrs. Patel's second plant.

  1. Height of the first plant: 0.6 meters.
  2. Height difference of the second plant: 0.25 meters shorter than the first plant.

To find the height of the second plant, we subtract the height difference from the height of the first plant:

\[ \text{Height of second plant} = \text{Height of first plant} - \text{Difference} \] \[ \text{Height of second plant} = 0.6, \text{meters} - 0.25, \text{meters} \]

Now, performing the subtraction:

\[ 0.6 - 0.25 = 0.35, \text{meters} \]

So, the height of Mrs. Patel’s second plant is indeed 0.35 meters.

Yes, I can confirm that the answer is:

B. 0.35 meter. Thank you for asking for clarification!

Sara has a gift card for Six Town's Bakery and bought the following items.
6 muffins for $0.45 each
2 boxes of cookies for $2.70 each
1 coffee cake for $3.72
Sara estimates she has $8.00 left on her gift card. What assumption did Sara use to make her estimate?
A.
The gift card started with $7.00.

B.
The gift card started with $12.00.

C.
The gift card started with $15.00.

D.
The gift card started with $20.00.

To determine the initial amount on Sara's gift card and validate her estimate of having $8.00 left, we first need to calculate the total expenditure at the bakery.

  1. Calculate the cost of the muffins:

    • Number of muffins: 6
    • Price per muffin: $0.45
    • Total cost of muffins: \(6 \times 0.45 = 2.70\)
  2. Calculate the cost of the cookies:

    • Number of boxes of cookies: 2
    • Price per box: $2.70
    • Total cost of cookies: \(2 \times 2.70 = 5.40\)
  3. Calculate the cost of the coffee cake:

    • Price of coffee cake: $3.72
  4. Total expenditure: \[ \text{Total cost} = \text{Cost of muffins} + \text{Cost of cookies} + \text{Cost of coffee cake} \] \[ \text{Total cost} = 2.70 + 5.40 + 3.72 = 11.82 \]

  5. Determine the estimated starting amount on the gift card:

    • If she has $8.00 left after spending $11.82, the calculation for the starting amount is: \[ \text{Starting amount} = \text{Amount left} + \text{Total cost} \] \[ \text{Starting amount} = 8.00 + 11.82 = 19.82 \]

Since we are looking for a whole dollar amount, we round 19.82 to the nearest options provided.

Among the options:

  • A. $7.00
  • B. $12.00
  • C. $15.00
  • D. $20.00

$20.00 (D) is the closest and properly rounded amount that could allow for $8.00 left after spending $11.82.

Thus, the assumption Sara used to estimate she has $8.00 left on her gift card is:

D. The gift card started with $20.00.