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Finger [1]
3 years ago
8

If the value of "y" Varies directly with "x" and y = -8 when x = 20, find "y" if x = -4.

Mathematics
1 answer:
Neko [114]3 years ago
6 0

Answer:

Step-by-step explanation:

When y varies directly with x

y=kx x=20 y=-8

k=y/x

k=-8/20

k=-0.4

now when x=-4 find y

y=kx

y=-0.4*-4

y=1.6

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notka56 [123]
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So firstly, to find the slope of this equation, plug the two points, (1,1) and (-3,2), into the slope formula and solve as such:

\frac{1-2}{1-(-3)}=-\frac{1}{4}

Next, plug either one of the points into the x and y coordinates to solve for b as such:

2=-\frac{1}{4}*-3+b\\2=\frac{3}{4}+b\\\frac{5}{4}=b

<u>Our final equation is y=-\frac{1}{4}x+\frac{5}{4} , or the third option.</u>

8 0
3 years ago
A student ran out of time on a multiple choice exam and randomly guessed the answers for two problems. Each problem had 5 answer
choli [55]

Answer:

there is a 64% chance that the student got both problems wrong

a 32% chance that they got only 1 correct

and a 4% chance that they got both correct

Step-by-step explanation:

There are 25 total possible combinations of answers, with 8 possible combinations where the student would get 1 answer right, and 1 combination where the student would get both answers correct.

25-9=16

\frac{16}{25} =\frac{x}{100}

\frac{64}{100}

64%

\frac{8}{25} =\frac{y}{100}

\frac{32}{100}

32%

\frac{1}{25} =\frac{z}{100}

\frac{4}{100}

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3 0
3 years ago
Mary is melting a rectangular block of wax that measures 10 cm×9 cm×20 cm. Determine how many candles she can make of the follow
Rashid [163]

Answer:

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Step-by-step explanation:

https://www.numerade.com/questions/reasoning-in-exercises-35-and-36-you-are-melting-a-rectangular-block-of-wax-to-make-candles-how-ma-2/

This link lets you access a video for the correct answer

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3 years ago
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Paul [167]
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here is the solution.

2 x 3 x 5 x -1 x -1 = 30
6 x 5 x -1 x -1 = 30
30 x -1 x -1 = 30
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3 years ago
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Otrada [13]
Percent decrease. 41% 
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3 years ago
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