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nika2105 [10]
2 years ago
9

When a marathon runner completes 3 round around a circular track he covers a distance of 66 km. Find the radius of the track

Mathematics
1 answer:
shutvik [7]2 years ago
3 0

Answer:

3.5

Step-by-step explanation:

66÷3=22

thus the perimeter is 22

perimeter=2×22/7×r

22=2×<u>22</u>×r

7

22×<u>7</u><u> </u>=2r

22

7=2r

r=3.5

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Michael has a substantial student debt, but he recently got a new job, which came with a signing bonus. He calculates that with
kykrilka [37]

Answer:

5000

Step-by-step explanation:

Given the question :

The size of debt after m months is respresented by the expression :

36,700 - (5000 + 500m)

Since Michael has decided to dedicate the entirety of his signing bonus towards paying his debt, then that is a constant and one-off payment.

Also, a fixed portion of his salary each month has also been assigned towards paying off his debt,

Then the amount paid from his salary after a certain number of months will be:

Fixed amount × number of months = 500 × m

Amount paid using signing bonus will be a constant = 5000

Total debt amount = 36,700

Size of debt left after m months :

Total debt - ( signing bonus - fixed amount × m)

Hence signing bonus = 5000

7 0
3 years ago
MATH
castortr0y [4]

Answer:

IQR=13 im pretty sure

Step-by-step explanation:

5 0
3 years ago
An alloy consists of nickel, zinc, and copper in the ratio 2:7:9. How many pounds of nickel have to be used to create alloy that
Hunter-Best [27]

We are given ratio nickel to zinc to copper = 2:7:9.

From this ratio we can see that <em>ratio of nickel to zinc is 2:7</em>.

Let us assume number of pounds of nickel have to be used to create alloy that contains 4.9 lb of zinc is x pounds.

So, we can setup a proportion as :

x : 4.9 =  2:7

Or

\frac{x}{4.9}=\frac{2}{7}

On cross multiplication, we get

7x= 4.9× 2

7x = 9.8

Dividing both sides by 7, we get

x = 1.4.

<h3>Therefore, 1.4 pounds of nickel have to be used to create alloy that contains 4.9 lb of zinc.</h3><h3 />
6 0
3 years ago
How can $500 be divided between four people so that each person gets $20 more than the person before.
MA_775_DIABLO [31]

Answer:

$95, $115, $135, $155

Step-by-step explanation:

If the first person gets x dollars:

the next person gets 20 more, so x + 20 dollars

the next person gets x + 40 dollars

and the last person gets x + 60 dollars

We add all these allocations together, and we get $500

x + (x + 20) + (x + 40) + (x + 60) = 500

Combine like terms

4x + 120 = 500

Subtract 120 on both sides

4x = 380

Divide by 4 on both sides

x = 95

So the first person gets $95.

The second person must get $115

The third must get $135

And the fourth must get $155

Checking our work:

95 + 115 + 135 + 155 = 500

5 0
3 years ago
Write an algebraic expression for the word phrase.
vovangra [49]

Answer:

0.30 m

Step-by-step explanation:

<u>Explanation</u>:-

Given data is 30 % of m

Algebraic expression:-

The form of the algebraic expression is ax+ by +c

Given data is 30 % of m

here 'of' meaning is multiplied of given term

therefore \frac{30}{100} X m

The algebraic expression is 0.30 m

6 0
4 years ago
Read 2 more answers
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