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gladu [14]
3 years ago
7

Convert the decimal expansion 0.31717 to a fraction. A) 133/455 B) 157/495 C) 52/165 D) 99/166

Mathematics
1 answer:
Tpy6a [65]3 years ago
6 0
The decimal expansion of 0.31717 is an infinite number with the 17 repeating.

Let the given decimal = X, so we have X = 0.31717 ( 1st equation)

Multiply both sides by 100 to get:
100x = 31.717 ( 2nd equation)

Subtract the 1st equation from the 2nd equation:

100x = 31.1717 - x = 0.31717 = 99x = 31.4

Divide both sides by 99:
X = 31.4 / 99

Multiply both numbers by 10 to remove the decimal point:
X = 314 / 990

Divide both numbers by 2 to get the final answer of 157 / 495

The answer is B.

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Tasya [4]
The area of a circle is:

a=πr^2  dividing both sides by π

r^2=a/π  taking the square root of both sides

r=√(a/π), in this case a=44 m^2 so:

r=√(44/π) m^2

r≈14.01 m^2  (to the nearest hundredth of a square meter)
5 0
3 years ago
Which ordered pair is the solution to the system of linear equations y =5x +8 and y= -4 x-1
aleksley [76]

Answer:

(-1,3)

y=5x+8 , y=-4x-1y=5x+8,y=−4x−1

Both sides have y on the left hand side so make the right hand side equal and solve for x

5x+8= -4x-15x+8=−4x−1

To solve for x , add 4x on both sides

9x+8=-19x+8=−1

Subtract 8 on both sides

9x=-99x=−9

Divide by 9 on both sides

x=-1x=−1

Now plug in -1 for x in the first equation and find out y

y=5x+8y=5x+8

y=5(-1)+8y=5(−1)+8

y=-5+8y=−5+8

y=3y=3

Ordered pair is (x,y) that is (-1,3)

Step-by-step explanation:

Mark me as brainliest plsss

8 0
2 years ago
the profit a company earns every month depends on the amount of products sold,p, for $855 each and the amount spent in rent, uti
dimulka [17.4K]
$31,045.50, or C if this is for algebra nation
8 0
3 years ago
Una compañía encuentra que su utilidad esta dada por R=2pe^-0.1p cuando au producto esta cotizado en p dolares por unidad. Encue
e-lub [12.9K]

Answer:

6.065; 7.358 ; 6.694

Step-by-step explanation:

Given that, profit is quoted using the function :

R = 2pe ^ -0.1p

(a)

When price 'p' = $5

R = 2(5)e^(-0.1*5)

R = 10e^(-0.5)

R = 10 * 0.6065306

R = 6.065

B)

When price 'p' = $10

R = 2(10)e^(-0.1*10)

R = 20e^(-1)

R = 20 * 0.3678794

R = 7.358

C.)

When price 'p' = $15

R = 2(15)e^(-0.1*15)

R = 30e^(-1.5)

R = 30 * 0.2231301

R = 6.694

5 0
3 years ago
Find the missing supplementary angle.
SpyIntel [72]
50 degrees I’m guessing is the answer
6 0
2 years ago
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