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ira [324]
3 years ago
5

Aliza needs to run at a rate faster than 8.2 feet per second in order to exceed her fastest time in a race. After running for 15

minutes, her coach determines that she is running at an average rate of 5.8 miles per hour. He converts the average rate to feet per second as shown below:
He concludes that she is not running fast enough to exceed her fastest time.

What errors did the coach make? Check all that apply.

He used an incorrect time ratio converting hours to minutes.
His units do not cancel.
He used an incorrect distance ratio converting miles to feet.
He incorrectly concluded that she is not running fast enough.
He cannot determine her average rate in miles per hour after only 15 minutes.
Mathematics
2 answers:
marissa [1.9K]3 years ago
8 0

Answer:

A) He used an incorrect time ratio converting hours to minutes.

D) He incorrectly concluded that she is not running fast enough.

Step-by-step explanation:

Got it right on Edge ✿♥‿♥✿

Keith_Richards [23]3 years ago
3 0

Answer: he used incorrect time ratio

He incorrectly concluded that she is not running fast enough

Step-by-step explanation:

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Suppose that you earned a​ bachelor's degree and now​ you're teaching high school. The school district offers teachers the oppor
stepan [7]

Answer:

Step-by-step explanation:

Answer:

a. The amount that is saved at the expiration of the 5 year period is $22,769.20¢

b. The amount of interest is $2,769.20¢

Step-by-step explanation:

Since the amount that is deposited every year for a period of five years is $4,000 and the rate of the interest is 6.5%. We can always calculate the amount that is saved at the expiration of the five years.

    We will first state the formula for calculating the future value of annuity:-

      Future value of annuity =

                      P[\frac{(1 + r)^{t}-1 }{r}]

   Where P is the amount deposited per year.

   r is the rate of interest

   t is the time or period

 

    and in this case, the actual value of P = $4,000

      rate of interest, r is 6.5% = 0.065

      time, t is 5 years.

   Substituting e, we have:

   Fv of annuity =

                          4,000[\frac{(1 + 0.065)^{5}-1 }{0.065 }]

   = 4,000 × [((1.065)^5)- 1/0.065]

 = 4,000 × [(1.37 - 1)/0.065]

 = 4,000 × (0.37/0.065)

 = 4,000 × 5.6923

 = $22,769.20¢

a. Therefore the amount that is saved at the end of the five (5) years is $22,769.20¢

b. To find the interest, we will calculate the amount of deposit made during the period of five years and subtract the sum from the current amount that is saved ($22,769.29¢).

  Since I deposited 4,000 every year for five years, the total amount of deposit I made at the period =

       4,000 × 5 = $20,000

  The amount of interest is then = $22,769.20¢ - $20,000 = $2,769.20¢

3 0
3 years ago
In a certain year, there were 92 female officials in Congress, which is comprised of the House of Representatives and the Senate
crimeas [40]

Answer:

There are 78 female members of the House of Representatives and 14 female members of the Senate.

Step-by-step explanation:

Let h equal the amount of female members of the House of Representatives and s equal the amount of female members in the Senate.

Since the amount of female officials in Congress is 92, and is made up of the House of Representatives and the Senate, we can represent this as the equation h+s=92

Since there are 64 more female members in the House of Representatives than female Senators, the senators would need 64 more female members to have the same amount as the House of Representatives. We can represent this as h=s+64.

Substituting, we get s+64+s=92, which simplifies to 2s+64=92. Subtracting 64 from both sides, we get 2s=28, which equals to s=14. There are 14 female senators. Substituting back into h+s=92, 14+s=92, and s=78. Therefore, there are 78 female members of the House of Representatives and 14 female members of the Senate.

8 0
2 years ago
Shades R Us charges $20 per day to rent a lounge chair and $15 per day to rent an umbrella. Dan and Lisa paid a total of $245 to
goblinko [34]

Answer:

$151.88 costs to Dan algebraic form

$245/2 = $122.50+20+15 = 157.5 is the answer though.

Step-by-step explanation:

35x+20(x-1)

35x + (20x -1)

35x +20x -1

35x -20x-20

x= 53/11

53/11 = 4.81

4.81 x 20 = $96.20 on chairs

4.81 x 15 = 72.15 on umbrella

96+72 = 168.35

245-168.35 = 76.65

76.65 + 20 = 96.65

Because we subtracted to get 168.35 we have the difference of $15 which is the difference of what he and she paid we half this amount = $7.50 half the 0.45 additional found on Dans $96.65 = $0.22 and find $7.72 balance to add to his 96.20

Added together his costs out of 245 was $104.37+ 76.65 = $181.20

Costs of umbrella = 76.65/2 = 39.325

181.20 -29.325=151.87 rounded up to 151.87

As x = 53/11 the decimal of this is 4.81 = x

6 0
3 years ago
Explain how to find the constant rate of change from the verbal description below.
Oksanka [162]

Answer:

62miles/1hr

Step-by-step explanation:

In order to get the rate of change I divided 124 miles by 2 hours to get 62 miles.

3 0
3 years ago
 Jen wants to buy a dress that originally had the price of $33, but now it is on sale 10% off. How much will Jen pay for the dr
valentinak56 [21]

Answer:

$29.70

Step-by-step explanation:

1. First, we have to find how much 10% of 33 is!

  • \frac{10}{100} * 33
  • \frac{330}{100}
  • 3.3

2. Okay, now that we know 3.3 is 10% of 33, we need to subtract 3.3 from 33 to get the amount Jen will pay for the dress.

  • 33 - 3.3
  • 29.7

Therefore, Jen will pay $29.70 for the dress.

8 0
3 years ago
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