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kodGreya [7K]
3 years ago
11

If Y varies directly as X and Y= 79 when X= 49, Find Y if X = 9

Mathematics
1 answer:
ryzh [129]3 years ago
7 0

Answer:

y = 14.5

Step-by-step explanation:

given that y varies directly as x

mathematically,

y ∝ x

y = kx .............................................. where k is the constant of proportionality.

k = y /x

given that

y = 79

x = 49

k = 79/49

k = 1.61

to find y when x = 9

from

y = kx

y = 1.61 × 9

y = 14.5

therefore the value of y when x = 9 in ths variation is evaluated to be equals to 14.5

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Which of the following coordinate pairs make the equation x - 9y = 12 true?
Ne4ueva [31]

Options:

(12,0)     (0,12)    (3,-1)    (0,-4/3)

Answer:

(12,0) ,  (3,-1)  and (0,-4/3)

Step-by-step explanation:

Given

x - 9y = 12

Required

Which option is true?

A coordinate point is of the form; (x,y)

So, we have to substitute the x and y values in the given equation.

A. For (12,0)

x = 12 and y = 0

x - 9y = 12 becomes

12 - 9*0 = 12

12 - 0 = 12

12 = 12

<em>This is true</em>

B. For (0,12)

x = 0 and y = 12

x - 9y = 12 becomes

0 - 9*12 = 12

- 9*12 = 12

- 108 = 12

<em>This is false</em>

C. For (3,-1)

x =3 and y = -1

x - 9y = 12 becomes

3 - 9*-1 =12

3 + 9 =12

12 = 12<em></em>

<em></em>

<em>This is true</em>

D. For (0,-4/3)

x = 0 and y = -\frac{4}{3}

x - 9y = 12 becomes

0- 9*-\frac{4}{3} = 12

0+ 9*\frac{4}{3} = 12

0+ 3*4 = 12

0+12 = 12

12 = 12

<em></em>

<em>This is true</em>

<em></em>

<em>Hence, (12,0) ,  (3,-1)  and (0,-4/3) are true values of the equation</em>

5 0
3 years ago
Aevery collects cans for recycling when he has a 1,000 cans, the recycling center will pick them up from the house Aevery has 80
Anarel [89]
   80
*  40
3100, I would say yes because you have more than 1,000 cans in all the bags together.

6 0
3 years ago
What is the y-intercept of a line that passes through the points (5, -6.5) and (-12, 2)?
n200080 [17]

Answer:

y-intercept = -4

Step-by-step explanation:

equation of a line: y=mx+b

two points given are (5, -6.5) and (-12, 2)

first we can easily find value of m or the slope, by using the slope formula. the value of m=-0.5.

formua to find m: \frac{2-(-6.5)}{-12-5}= -0.5

to find the value of b (the y-intercept), we need to plug in a y and x value, we are given 2 ordered pairs, you can use either one and plug x-value in for x and the y-value in for y.

if i plug in (5, -6.5), my equation looks like this: -6.5=5(-0.5)+b

then you just solve for b and it turns out to be -4.

4 0
3 years ago
Write the number in 2 equivalent forms as a fraction, decimal, or percent.
iren2701 [21]

Answer:

0.625 62.5%

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Please help, this is due today at 3PM
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It decreases by -.4 over 1
6 0
3 years ago
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