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djverab [1.8K]
3 years ago
14

Deborah is saving for a trip. She wants to have at least ​$74 for each of the 13 days of her trip. If saves ​$84 each month for

10 ​months, will she save enough​ money? 4. Use the strategy of mental math to find the total amount she will save.​ Then, write a division equation to see if she will save enough 5. Timothy says he can solve this problem a different way. He says that he can compare 84 x 10 and 74 x 18. Do you​ agree? Explain your thinking.
Mathematics
1 answer:
Ainat [17]3 years ago
5 0

Answer:

No she will not save enough money for her trip and she needs $122 more for her trip.

Step-by-step explanation:

Deborah requires $74 each day for 13 days trip

Total least amount needed for the trip = 74*13

                                                       = $962

Deborah's saving strategy : she saves $84 per month for 10 months

saved amount at the end of the 10th month = 84*10 = $840

840/10 = $84

This clearly shows she is not saving enough money for her trip. She needs $122 more to support the expense of her trip.

Timothy way

84*10= $840 is to be compared with 74*18 = $1332

This method is also not a feasible one for calculating Deborah's expenses of her trip.

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Sage and Tom started the month with the same number of talk minutes on their cell phones. Sage talked for 7 minutes with her dad
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Answer:

a. Sage and Tom have the same number of talk minutes left on their cell phone plans.

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6 0
3 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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