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stepan [7]
3 years ago
5

Last week at the park, Heather ran 4 miles in 48 minutes. When she runs her next race, she hopes to improve her time by 2 minute

s per mile.
Last week at the park, what was Heather’s rate of speed in miles per hour? Use words and/or numbers to explain your answer.​
Mathematics
1 answer:
liq [111]3 years ago
5 0

Answer:

she ran 10 miles a hour

Step-by-step explanation:

she runs 10 miles a hour because she wants to improve her time per mile by 2 minutes so you do 2x4 and get 8, then you subtract 8 from 48 and get 40 then you divide 40 by 4 and get 10

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Kathi and Robert Hawn had a pottery stand at the annual Skippack Craft Fair. They sold some of their pottery at the original pri
grigory [225]

Answer:27 pieces were sold at the original price.

63 pieces were sold at the new price

Step-by-step explanation:

Let x represent the number of pieces of pottery that was sold at the original price.

Let y represent the number of pieces of pottery that was sold at the new price.

They sold some of their pottery at the original price of​ $9.50 for each​ piece. This means that the amount that they got from selling x pieces of pottery at the original price would be 9.5x

They later decreased the price of each piece by​ $2. This means that the new price was 9.5 - 2 = $7.5

This means that the amount that they got from selling x pieces of pottery at the new price would be 7.5y

If they sold all 90 pieces and took in ​$729​, then the equations are

x + y = 90

9.5x + 7.5y = 729 - - - - - - - - - -1

Substituting x = 90 - y into equation 1, it becomes

9.5(90 - y) + 7.5y = 729

855 - 9.5y + 7.5y = 729

- 9.5y + 7.5y = 729 - 855

- 2y = - 126

y = - 126/- 2 = 63

Substituting y = 63 into x = 90 - y, it becomes

x = 90 - 63 = 27

6 0
3 years ago
Round 8181 nearest hundred
d1i1m1o1n [39]

Answer:

8200

Step-by-step explanation:

5 0
4 years ago
Find the area of a circle with a radius of 6.8 meters.
Basile [38]

Answer: 145.1936meters

Step-by-step explanation:

Area saying for circles is apple pie r squared

Or A=3.14radius^2

Or A=3.14(6.8)^2

A=3.14(46.24)

A=145.1936meters

5 0
3 years ago
Read 2 more answers
7. Meghraj divided like this. 1.05 2.1 → 105 210 Do you agree with what he did? Explain your thinking.​
Anarel [89]

Step-by-step explanation:

I guess that means

1.05 / 2.1

or

1.05 ÷ 2.1

both mean the same thing.

so, let's look at

1.05 / 2.1

this is the same as

105/100 / 210/100 = (105×100) / (210×100) =

= (105×100) / (210×100) × (1/100 / 1/100)

as long as we multiply numerator (top) and denominator (bottom) always with the same thing, the general fraction or division is unchanged.

(105×100) / (210×100) × (1/100 / 1/100) =

= (105 × 100/100) / (210 × 100/100) = 105 / 210

so, yes, the division of 105 / 210 is the same as 1.05 / 2.1

5 0
2 years ago
Ben had $100 in his savings account. He adds $5.00 a week to his savings as shown in the graph below. According to this graph, h
bearhunter [10]

Answer:

Option (C)

Step-by-step explanation:

Let the relation between amount of money (m) and Time (t) is represented by the equation,

m = ct + b

Where c = Investment per week

b = Ben already had the amount before investment

From the question,

c = $5 per week

b = $100

Therefore, equation will be,

m = 5t + 100

If duration of the investment 't' = 8 weeks

Amount in the account after 8 weeks,

m = 5(8) + 100

m = $140

Option (C) is the correct option.

3 0
3 years ago
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