Jamal is creating toys to sell. He is averaging 8 toys every 5 days. If he continues at this rate, how many days will it take to fill an order of 75? Round to the nearest whole number of days. (1 point)

Responses

375 days
375 days

120 days
120 days

10 days
10 days

47 days

11 answers

To determine how many days it will take Jamal to fill an order of 75 toys at his current rate of 8 toys every 5 days, we can follow these steps:

  1. Calculate the rate of toys produced per day: \[ \text{Toys per day} = \frac{8 \text{ toys}}{5 \text{ days}} = 1.6 \text{ toys per day} \]

  2. Determine how many days it will take to produce 75 toys: \[ \text{Days needed} = \frac{75 \text{ toys}}{1.6 \text{ toys per day}} \approx 46.875 \text{ days} \]

  3. Round to the nearest whole number: \[ 46.875 \text{ days} \approx 47 \text{ days} \]

Thus, it will take Jamal approximately 47 days to fill the order of 75 toys.

The answer is 47 days.

Ramon makes 33 donuts every 7 hours. Using a unit rate, determine how many whole donuts he would make in 5 hours.(1 point)
Responses

23
23

1
1

46
46

4

To determine how many whole donuts Ramon would make in 5 hours, we first need to calculate his unit rate of donuts made per hour.

  1. Calculate the rate of donuts made per hour: \[ \text{Donuts per hour} = \frac{33 \text{ donuts}}{7 \text{ hours}} \approx 4.7142857 \text{ donuts per hour} \]

  2. Now, calculate how many donuts he makes in 5 hours by multiplying the rate by the number of hours: \[ \text{Donuts in 5 hours} = 4.7142857 \text{ donuts per hour} \times 5 \text{ hours} \approx 23.5714285 \text{ donuts} \]

  3. Round down to the nearest whole number, since we want whole donuts: \[ \text{Whole donuts} = 23 \]

Thus, Ramon would make 23 whole donuts in 5 hours.

The answer is 23.

Raquel gets paid $75 per week to mow 8 yards. Which equation would represent how to compute her wage for each yard?(1 point)
Responses

75/7=x/1

75/7=8/x

8/75=x/1

75/8=x/1

To find the equation that represents how to compute Raquel's wage for each yard mowed, we need to divide her total weekly wage by the number of yards she mows to find out how much she gets paid per yard.

Raquel earns $75 for mowing 8 yards. Therefore, her pay per yard is calculated as:

\[ \text{Pay per yard} = \frac{75 \text{ dollars}}{8 \text{ yards}} \]

This can be represented in the format of a proportion:

\[ \frac{75}{8} = \frac{x}{1} \]

Where \( x \) would represent her pay for 1 yard.

Hence, the correct equation that represents how to compute her wage for each yard is:

75/8 = x/1 (though this exact format isn't one of the options, choosing the option that most closely reflects this would be preferred.)

If we look directly at the options provided:

  • \( 75/8 = x/1 \) directly represents the payment for each yard, but it's not listed.
  • Among the provided options, the closest one is:

75/8 = x/1.

However, since that format does not appear, and seeing other options, in a practical sense, the correct option would be:

75/8=x/1 (to compute her wage per yard), may be the intent if understood correctly .

Let's clarify the options listed:

  • 75/7=x/1 (not correct)
  • 75/8=x/1 (should've been here but isn't)
  • 8/75=x/1 (not correct)
  • 75/8=x/1 (correct).

Since it doesn't appear, ideally should clarify for decision in representation.

If the 75/8 option was not presented, it would be best to choose the best logical assumption based on original inquiry understanding.

just the answer

75/8 = x/1

esse uses 13 pints of paint for 5 paintings. How many pints does he use for each painting? How many paintings will he complete if he uses 44 pints? How many pints will he need for 29 paintings?(1 point)
Responses

Pints Paintings
13 5
2.6 1
44 114.4
75.4 29
Pints Paintings 13 5 2.6 1 44 114.4 75.4 29

Pints Paintings
13 5
0.38 1
44 115.7
11.02 29
Pints Paintings 13 5 0.38 1 44 115.7 11.02 29

Pints Paintings
13 5
2.6 1
44 16.92
75.4 29
Pints Paintings 13 5 2.6 1 44 16.92 75.4 29

Pints Paintings
13 5
13 1
44 3.38
377 29

To evaluate the number of pints of paint used per painting and answer the questions:

  1. Pints per painting: \[ \text{Pints per painting} = \frac{13 \text{ pints}}{5 \text{ paintings}} = 2.6 \text{ pints per painting} \]

  2. How many paintings can he complete with 44 pints? \[ \text{Number of paintings} = \frac{44 \text{ pints}}{2.6 \text{ pints per painting}} \approx 16.92 \text{ paintings} \]

  3. How many pints will he need for 29 paintings? \[ \text{Pints needed} = 29 \text{ paintings} \times 2.6 \text{ pints per painting} = 75.4 \text{ pints} \]

Thus, the correct response from the options provided is:

Pints Paintings 13 5 2.6 1 44 16.92 75.4 29

just the answer

Pints Paintings 13 5 2.6 1 44 16.92 75.4 29