Mariana's bread recipe calls for 2/3 of a cup of flour. Which amount of flour is equivalent?(1 point) Responses 4/6 of a cup 4 sixths of a cup 3/3 of a cup 3 thirds of a cup 5/6 of a cup 5 sixths of a cup 1/3 of a cup

Answer 1

The amount of flour that is equivalent to 2/3 of a cup can be represented as 4/6 of a cup. This is because when you simplify 4/6, you can divide the numerator and the denominator by 2, resulting in 2/3.

So, the equivalent amount of flour is 4/6 of a cup.

Answer 2

The chart below shows conversion between feet and inches. What is the missing value in the table?
Feet Inches
2 24
4 48
5 ?
6 72
(1 point) Responses 80 80 60 60 36 36 12

Answer 3

To determine the missing value in the table, we need to know the conversion between feet and inches.

1 foot is equal to 12 inches. Therefore, to convert feet to inches, we multiply the number of feet by 12.

For 5 feet:

\( 5 \text{ feet} \times 12 \text{ inches/foot} = 60 \text{ inches} \)

So, the missing value in the table for 5 feet is 60 inches.

Answer 4

Jeff used the fact that a highway bus can travel 275 miles in 5 hours to find the unit rate. If the bus is currently traveling 59 miles per hour, is the bus going faster, slower, or equal to the unit rate?(1 point) Responses Cannot be determined by the information provided. Cannot be determined by the information provided. Equal to Equal to Slower Slower Faster

Answer 5

To find the unit rate, we need to calculate the speed of the bus over the given distance and time.

The bus travels 275 miles in 5 hours. To find the speed, we divide the distance by the time:

\[ \text{Speed} = \frac{275 \text{ miles}}{5 \text{ hours}} = 55 \text{ miles per hour} \]

Now, we compare this to the current speed of the bus, which is 59 miles per hour.

Since 59 miles per hour is greater than 55 miles per hour, the bus is traveling faster than the unit rate.

Answer 6

One of the rows in Harry’s table does not have the same ratio as the other rows.
Gallons Cups
Row 1 2 32
Row 2 5 80
Row 3 9 134
Row 4 12 192
Which row does not have the same ratio as the others?
(1 point) Responses Row 1 Row 1 Row 3 Row 3 Row 4 Row 4 Row 2

Answer 7

To determine which row does not have the same ratio between gallons and cups, we can calculate the ratio of cups to gallons for each row.

1. Row 1:

   • Gallons: 2
   • Cups: 32
   • Ratio: \( \frac{32}{2} = 16 \)

2. Row 2:

   • Gallons: 5
   • Cups: 80
   • Ratio: \( \frac{80}{5} = 16 \)

3. Row 3:

   • Gallons: 9
   • Cups: 134
   • Ratio: \( \frac{134}{9} \approx 14.89 \)

4. Row 4:

   • Gallons: 12
   • Cups: 192
   • Ratio: \( \frac{192}{12} = 16 \)

Now we compare the ratios:

• Row 1: 16
• Row 2: 16
• Row 3: approximately 14.89
• Row 4: 16

From the calculations, Row 3 does not have the same ratio as the others, which is approximately 14.89 compared to the consistent ratio of 16 in the other rows.

Therefore, the answer is Row 3.

Answer 8

Quinten and his friends cut a peach pie into 12 equal slices and a cherry pie into 8 equal slices. They ate 6/12 of the peach pie. If they ate the same fraction of the cherry pie, how many slices of the cherry pie did they eat?(1 point) Responses 8 8 2 2 6 6 4

Answer 9

Quinten and his friends ate \( \frac{6}{12} \) of the peach pie. We can simplify \( \frac{6}{12} \) to \( \frac{1}{2} \).

Now, since they ate the same fraction of the cherry pie, we need to find \( \frac{1}{2} \) of the cherry pie.

The cherry pie is cut into 8 equal slices. Therefore, to find out how many slices they ate, we calculate:

\[ \frac{1}{2} \times 8 = 4 \text{ slices} \]

So, they ate 4 slices of the cherry pie.

Answer 10

Bagel Emporium burned 8% of the total amount of bagels produced on Saturday. If 416 bagels were burned, how many bagels did they produce in total on Saturday?(1 point) Responses 41,600 bagels 41,600 bagels 5,200 bagels 5,200 bagels 3,328 bagels 3,328 bagels 424 bagels

Answer 11

To find the total amount of bagels produced on Saturday, we can set up the equation based on the information given:

If 8% of the total bagels produced equals 416 bagels, we can express this as:

\[ 0.08 \times \text{Total Bagels} = 416 \]

To find the Total Bagels, we divide both sides of the equation by 0.08:

\[ \text{Total Bagels} = \frac{416}{0.08} \]

Calculating this gives:

\[ \text{Total Bagels} = 5,200 \]

So, Bagel Emporium produced a total of 5,200 bagels on Saturday.