Four friends each swim 3/5

Question

of a mile in a relay. What is the total distance they swim?

(1 point)
Responses

2 2/5
miles
2 and 2 fifths miles

12 3/5
miles
12 and 3 fifths miles

3 miles
3 miles

1 1/2
miles

Answer 1

To find the total distance that the four friends swim in a relay, we need to multiply the distance each friend swims by the number of friends:

Distance each friend swims = \( \frac{3}{5} \) miles
Number of friends = 4

Total distance = \( 4 \times \frac{3}{5} = \frac{12}{5} \) miles

Now, we convert \( \frac{12}{5} \) into a mixed number:

\( \frac{12}{5} = 2 \frac{2}{5} \) miles.

So, the total distance they swim is 2 2/5 miles or 2 and 2 fifths miles.

Answer 2

David found a new part-time job that pays $2400/month. This is 5 times what he made at his previous job. What was David’s yearly salary at his old job?(1 point)
Responses

$144,000 a year
$144,000 a year

$5760 a year
$5760 a year

$28,800 a year
$28,800 a year

$480 a year

Answer 3

To find David's yearly salary at his old job, we can start by determining how much he made per month at his old job.

Given that David now earns $2400 per month, which is 5 times what he made at his previous job, we can set up the following equation:

\[ \text{Old monthly salary} = \frac{\text{New monthly salary}}{5} = \frac{2400}{5} = 480 \]

Now that we know David's old monthly salary was $480, we can calculate his yearly salary by multiplying his monthly salary by 12 (the number of months in a year):

\[ \text{Old yearly salary} = 480 \times 12 = 5760 \]

Thus, David’s yearly salary at his old job was $5760 a year.

Answer 4

What is the quotient of 80÷−40
?(1 point)
Responses

−1/2
negative 1 half

1/2
1 half

2
2

-2

Answer 5

To find the quotient of \( 80 \div -40 \):

\[ 80 \div -40 = -2 \]

Thus, the quotient is \(-2\).

Answer 6

What is the quotient −1/4÷4
?

(1 point)
Responses

-1
-1

1/16
1 over 16

−1/16
negative 1 over 16

1

Answer 7

To find the quotient of \(-\frac{1}{4} \div 4\), we can rewrite the division of a fraction by a whole number as multiplying by the reciprocal:

\[ -\frac{1}{4} \div 4 = -\frac{1}{4} \times \frac{1}{4} \]

Now, multiply the fractions:

\[ -\frac{1}{4} \times \frac{1}{4} = -\frac{1 \times 1}{4 \times 4} = -\frac{1}{16} \]

Thus, the quotient is \(-\frac{1}{16}\) or negative 1 over 16.

Answer 8

Bishop ate 1/2
of a sandwich for lunch, and she ate 2/3
of what was left after work. How much of the sandwich did Bishop eat after work?(1 point)
Responses

1/3
1 third

1/9
1 ninth

1/12
1 over 12

2/3

Answer 9

To find out how much of the sandwich Bishop ate after work, we follow these steps:

1. Determine what was left after lunch: Bishop ate \( \frac{1}{2} \) of the sandwich, so the remaining part is: \[ 1 - \frac{1}{2} = \frac{1}{2} \]

2. Calculate how much she ate after work: After work, Bishop ate \( \frac{2}{3} \) of what was left. Thus, we need to find \( \frac{2}{3} \) of \( \frac{1}{2} \): \[ \frac{2}{3} \times \frac{1}{2} = \frac{2 \times 1}{3 \times 2} = \frac{2}{6} = \frac{1}{3} \]

So, Bishop ate \( \frac{1}{3} \) of the sandwich after work.

The answer is 1/3 or 1 third.

Answer 10

Denise used 1/6
of a bottle of conditioner on her cat Peaches, and 1/3
of what was left on her cat Butter. How much of the bottle of conditioner did she use on Butter?(1 point)
Responses

5/18
5 over 18

1/3
1 third

1/2
1 half

1/18

Answer 11

To find out how much of the bottle of conditioner Denise used on Butter, let's follow the steps:

1. Determine how much conditioner was left after using it on Peaches: Denise initially used \( \frac{1}{6} \) of the bottle. Therefore, the remaining amount of conditioner is: \[ 1 - \frac{1}{6} = \frac{6}{6} - \frac{1}{6} = \frac{5}{6} \]

2. Calculate how much she used on Butter: Denise then used \( \frac{1}{3} \) of what was left (\( \frac{5}{6} \)). To find this amount: \[ \frac{1}{3} \times \frac{5}{6} = \frac{1 \times 5}{3 \times 6} = \frac{5}{18} \]

So, Denise used \( \frac{5}{18} \) of the bottle of conditioner on Butter.

The answer is 5/18 or 5 over 18.