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Katena32 [7]
3 years ago
10

The length of a rectangle is three more than its width. The perimeter is 86cm. Find the length and width of the rectangle. Write

an equation and solve
Mathematics
1 answer:
elena-s [515]3 years ago
5 0
P=2(l+w)
Substitute width plus 3 for length
Remember order of operations: multiply before adding

86=2((w+3) + w)
86=2w+6+2w
86=4w+6
80=4w
20=w
23=w+3=l

Check the answer
86=2((w+3) + w)
86=2((20+3)+20
86=2(23+20)
86=46+40
86=86
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Zigmanuir [339]

Answer:

7 inches

Step-by-step explanation:

First you have to find the average height of each class.

4th Grade:

56, 47, 54, 51, 53, 58, 48, 54, 46, 53

Then you have add it all up and divide it by how many students there are.

56 + 47 + 54 + 51 + 53 + 58 + 48 + 54 + 46 + 53 = 520

520 ➗10= 52

Same process for the 7th Grade.

You end up getting 52 and 59. You then Subtract it to get the answer to the question.

52 - 59= 7 inches

6 0
2 years ago
the populatipn of a school of fish increases at a rate of 18% a Month. There are currently 500 fish in the school.
ruslelena [56]
You first must find the 18% of the fish population.

You multiply 500 by .18 . You are supposed to get 90.

90 is the 18% fish increase.

Then you just add 500 + 90 and you will get 590 fish that are now in the school.
8 0
2 years ago
An automobile assembly line runs for 9 3/4 hours each day. employees work 3/4 hours shift. how many shifts are there in each day
babunello [35]

Answer:

the mixed fraction 9 3/4 means there are 9 4/4 s and one 3/4all togather there are 39/4 divid this by 3/4 to find the no of shifts. 39/4 ÷(3/4)

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4 0
2 years ago
What is the value of x? x−2/5=7 Enter your answer in the box in simplest form. x =
fenix001 [56]

Answer:

Your answer is 17.5

Step-by-step explanation:

Turn your fraction into a decimal

2/5 = 0.4

Next multiply my given answer by 0.4

17.5 x 0.4 = 7

Therefore 17.5 is your final answer

3 0
2 years ago
The rectangular bar is connected to the support bracket with a 10-mm-diameter pin. The bar width is w = 70 mm and the bar thickn
german

Answer:

P_max = 9.032 KN

Step-by-step explanation:

Given:

- Bar width and each side of bracket w = 70 mm

- Bar thickness and each side of bracket t = 20 mm

- Pin diameter d = 10 mm

- Average allowable bearing stress of (Bar and Bracket) T = 120 MPa

- Average allowable shear stress of pin S = 115 MPa

Find:

The maximum force P that the structure can support.

Solution:

- Bearing Stress in bar:

                                       T = P / A

                                       P = T*A

                                       P = (120) * (0.07*0.02)

                                       P = 168 KN

- Shear stress in pin:

                                        S = P / A

                                        P = S*A

                                        P = (115)*pi*(0.01)^2 / 4

                                        P = 9.032 KN

- Bearing Stress in each bracket:

                                       T = P / 2*A

                                       P = T*A*2

                                       P = 2*(120) * (0.07*0.02)

                                       P = 336 KN

- The maximum force P that this structure can support:

                                      P_max = min (168 , 9.032 , 336)

                                      P_max = 9.032 KN

3 0
3 years ago
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