MATHEMATICS MIDDLE SCHOOL

Which property is shown?x = y and y = z, so x = z

A. Transitive Property
B. Multiplicative Identity
C. Communicative Property of Multiplication
D. Reflexive Property

Answers

Answer 1
Answer:

Answer:

A. Transitive Property

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If original price is $0.75 and sale price is $0.15 what is the discount ?

Answers

Hi

0.75 ⇒ 100%
0.15 ⇒ x%

0.75x = 100·(0.15)
0.75x = 15
x = 15/(0.75)
x = 1500/75
x = 20%

100% - (discount) = x%
100% - (discount) = 20%
discount = 100%-20%
discount = 80%

Answer: 80%

Answer:

80%

Step-by-step explanation:

Paul is going to have the exterior of his home painted. Painting USA charges $75.00 to come out and evaluate the house plus $25.00 per hour of labor. Upscale Home Painting does not charge to evaluate the house. However, they charge $40.00 per hour. If it takes 25 hours to paint Paul’s house, the most cost effective company will be

Answers

Answer:

The most cost effective company will be Painting USA that charge $700 to paint Paul house .

Step-by-step explanation:

As given

Paul is going to have the exterior of his home painted.

Painting USA charges $75.00 to come out and evaluate the house plus $25.00 per hour of labor.

If it takes 25 hours to paint Paul’s house.

Total amount charge by Painting USA = Painting USA charges for come out  and evaluate the house + Cost of per hour of labor × Total hours take to paint Paul house .

Total amount charge by Painting USA = 75 + 25 × 25

                                                                = 75 + 625

                                                                = $ 700

As given

Upscale Home Painting does not charge to evaluate the house. However, they charge $40.00 per hour.

Total amount charge by Upscale Home Painting = Cost of per hour of labor × Total hours take to paint Paul house

                                                                                 = 40 × 25

                                                                                 = $ 1000

Therefore  the most cost effective company will be Painting USA  that charge $700 to paint Paul house .
Given:$75
25 hours

Painting USA : Fixed cost: $75 ; Variable Cost: $25x
Total Cost = 75 + 25(25) = 75 + 625 = 700

Upscale Home Painting: No Fixed Cost ; Variable Cost : $40x
Total Cost = 40(25) = 1,000

The most cost effective company will be Painting USA whose charge will amount to $700.

The sum of A and B is 171 and their difference is 35. What are the numbers?

Answers

Answer:

103 and 68

Step-by-step explanation:

Given

A + B = 171

A - B = 35

Add the two expressions to eliminate B.

B + (-B) = B - B = 0

We have

2A = 206

Divide both sides by 2 to isolate A

2A/2 = 206/2

A = 103

Now substitute 103 for A in either expression to get B

Using the first expression , we have

A + B = 171

103 + B = 171

Subtract 103 from both sides

103 - 103 + B = 171 - 103

B = 68

The numbers are 103 and 68

Check

103 + 68 = 171

103 - 68 = 35

Answer:

103 and 68

Step-by-step explanation:

since the difference has to be 35 subtract 35 from 171 (equals 136) then divide it by 2, you get 68 which is your first number, then add 35 back and get 103 for the second number, I hope this helped

What is k+3 3/4 = 5 2/3 - 1 1/3

Answers

k+3 3/4=5 2/3-1 1/3
k+3 3/4=4 1/3
lets find the lcm first then multiply both sides by it but first change it to improper fraction
LCM is  12

[k+15/4]=[13/3]12
12k+45=52
12k=7
k=7/12

Help me with number 6 pls and tell me how

Answers

The answer would be D

Hope this helps!
D. because there is about 7 hours between 8:30 am and 3:15 pm, so to find the average time 351 needs to be divided by 6.75

15 liters increased by 60℅

Answers

To increase by 60%, you need to multiply the original 15 liters by 1.6. The 1 incorporates the original 15 liters and the 0.6 equals the amount gained.
15×1.6=24 liters (total)
15×0.6=9 liters (amount gained)
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