Match the addition and subtraction problems to their solutions:

we conclude that:

5/7 - 3/7:     B 2/7

1/6+3/6:      C 2/3

1/2+1/4:       E 3/4

1/5+1/2:       D 7/10

1/6-1/8:       A 1/24

Step-by-step explanation:

1)

Given the expression

Apply the fraction rule:  

Add the numbers:  

2)

Given the expression

Apply the fraction rule:  

Add the numbers:  

Cancel 4/6: 2/3

3)

Given the expression

Lease common multiplier of 2, 4: 4

Adjust fractions based on LCM

Apply the fraction rule:  

Add the numbers:  

4)

Lease common multiplier of 5, 2: 10

Adjust fractions based on LCM

Apply the fraction rule:  

Add the numbers: 2+5 = 7

5)

Given the expression

Lease common multiplier of 6, 8: 24

Adjust fractions based on LCM

Apply the fraction rule:  

Therefore, we conclude that:

5/7 - 3/7:     B 2/7

1/6+3/6:      C 2/3

1/2+1/4:       E 3/4

1/5+1/2:       D 7/10

1/6-1/8:       A 1/24

c. prove the lengths are the same.

step-by-step explanation:

you need to prove the segments are congruent. congruent segments have the same length. find the lengths of the segments using the distance formula, and compare them.

answer: c. prove the lengths are the same.

solution:

as, mean is defined as sum of all the observations divided by total number of observations.

and , median is mid value of the data whether arranged in ascending order or descending order.

consider, roadsters:

2,3,4,5,6,7,8,9

mean =

also, median= , because number of observations is even, so median is mean of two mid values.

now, coming to bandits

2,3,4,5,6

mean =  

median = 4, as number of observations is odd.

so, roadsters has greater median as well mean than bandits.

→option a is true about the repairs performed on 2 types of cars:

bandits have lower median and mean than roadsters.