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Charra [1.4K]
3 years ago
7

Determine whether the following scenario represents a direct variation and describe why or why not: It takes 4 painters 8 hours

to paint a house and 12 painters 6 hours to paint the same house.
Mathematics
1 answer:
marysya [2.9K]3 years ago
4 0

Answer:

No

Step-by-step explanation:

It would take 1 painter 32 hours to paint a house (because 4*8=32). If we divide 32 by 12 we get 3, so no, it is not a direct variation because if it was it would only take 3 hours for the 12 painters to paint the house.

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Percent increase and decrease. Original number:45 New number: 18
andre [41]

Answer:

60% decrease

Step-by-step explanation:

To find the percentage increase/ decrease construct a fraction with numerator showing increase/ decrease and denominator with original number then multiply the fraction by 100%

here the decrease = 45 - 18 = 27

percent decrease = \frac{decrease}{original} × 100%

                             = \frac{27}{45} × 100% = 60%


4 0
3 years ago
The ratio of the number of A's in the class to B's in the class was 2:5. How many people got A's if there were 40 people who got
Umnica [9.8K]

Answer:

16 students got an A

Step-by-step explanation:

Set up an equation to compare the ratio to the scores:

\frac{2}{5} = \frac{x}{40}

Cross multiply:

80 = 5x

Divide each side by 5:

x = 16

Now, check if \frac{16}{40} = \frac{2}{5}

16/8 = 2

40/8 = 5

The ratios are the same! Therefore, 16 students got an A!

Hope this helps! Feel free to contact me if you have any questions :)

7 0
3 years ago
Read 2 more answers
What is the value of x in the equation <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7Dx%20-%5Cfrac%7B2%7D%7B3%7D" id="Te
SVEN [57.7K]

Answer:

x= 200

Step-by-step explanation:

The given equation is:

1/5 x - 2/3 y = 30

The value of y is 15

Put the value of y in the given equation:

1/5 x - 2/3(15) = 30

1/5 x- 10 = 30

Take the L.C.M of the denominator

x-50/5 = 30

Move the denominator to the R.H.S

x-50 = 30*5

x-50 = 150

Combine the like terms

x= 150+50

x = 200

The value of x is 200...

5 0
3 years ago
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Determine the equation of the line that has an x-intercept of 6 and passes through the point (6,4)
butalik [34]
Putting a = 6 and b= 3/2 in eqn. (1) the required equation is:-

x /6 + 2.y/3 = 1. or, x + 4y = 6. Answer.
5 0
2 years ago
Read 2 more answers
3x+4y+z=-2<br> 2y+3z=-8<br> z=-3
masya89 [10]

Answer:

z=-3 so 2y+3(-3)=-8, 2y-9=-8, add 9 to both sides 2y=1 divide both sides by 2, y=1/2, so 3x+4(1/2)+-3=-2, 3x+2-3=-2, 3x-1=-2, add 1 to both sides, 3x=-1, divide both sides by 3, x=-1/3

3 0
3 years ago
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