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Mekhanik [1.2K]
3 years ago
7

The circumference of a circle varies directly as the diameter of a circle. When the diameter of a circle is 5, the circumference

of the circle is approximately 15.7. What is the approximate circumference of a circle with a diameter of 9? Round answer to nearest tenth.
Mathematics
2 answers:
Naya [18.7K]3 years ago
5 0

Answer:

20.3 units

Step-by-step explanation:

Write and solve an equation involving ratios:

 5 units       15.7 units

------------- = ----------------

 9 units             C

Cross-multiplying, we get 5C = 9(15.7), with C measured in "units."

Then 5C = 141.3, so that C = 141.3 units   /   5   =   20.3 units.

mojhsa [17]3 years ago
5 0

Answer: 28.3

Step-by-step explanation:

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5x-6y=-25 and 4x-3y+20=0 How many solutions does the system have?
natta225 [31]
It has only 2 solutions
8 0
3 years ago
Marcus painted 1/3 of his bedroom in 4/5 of an hour. At this rate, how long would it take him the paint the entire room? I need
expeople1 [14]
So it took him 4/5 of an  hour to paint 1/3 
that means there is still 2/3 to go 
so that means that he will have two times that time to paint the rest of the room
<u>4/5</u>    = <u> ? </u>
1/3       2/3 

using cross multiplication

(4/5)(2/3) = (1/3) (?)
8/15 = 1/3 ?
divide both sides by 1/3
so that will be 8/5
that means it will take 8/5 of an hour to complete the rest 
or 12/5 total to do entire room

Hope this helps ;)
7 0
3 years ago
Which system of equations could be used to determine how many of each coin you have
kirza4 [7]
<h3>Answer: Choice A</h3>

0.10d + 0.05n = 2.25

d = 2n

================================================

Explanation:

n = number of nickels

d = number of dimes

we have twice as many dimes as nickels, so we could have something like 18 dimes and 9 nickels. Algebraically we would write d = 18 and n = 9. The equation that fits this is d = 2n. The answer is between A and B at this point.

We rule out choice B since the 0.05d is incorrect. It should be 0.10d to represent the total value of all the dimes.

Choice A is correct

d = number of dimes

0.10d = value of all the dimes in dollars

n = number of nickels

0.05n = value of all the nickels in dollars

0.10d + 0.05n = total value from both coins combined

2.25 =  total value from both coins combined

0.10d + 0.05n = 2.25

8 0
3 years ago
I need help with these questions
natali 33 [55]

Answer: 1/3 = 33.3% or 33 ⅓%

1/9 = 11.1%

2/9 = 22.2%

8/9 = 88.9%

Step-by-step explanation:

Divide the numerator by the denominator. Multiply the quotient by 100 to change the decimal to a percentage.

All of these are repeating decimals, so it may be required to keep at least one decimal place in the percentage, depending on how precise the calculation must be.

3 0
3 years ago
F(x)= 1/25(∣6x∣+4x) f(-45)= what
svlad2 [7]

Answer:

f=-45

therefore

1/25(-270-180)

1/25(-450)

-18

4 0
4 years ago
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