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slega [8]
4 years ago
9

3y-8/12 =y/5 What is the solution to the proportion?

Mathematics
1 answer:
Gelneren [198K]4 years ago
5 0

Answer:

y = 40/3

Step-by-step explanation:

For greater clarity please write 3y-8/12 =y/5 as:

3y-8       y

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

   12        5

Cross-multiplying, we get:

15y - 40 = 12y

Combining the y terms yields 3y = 40, so that y = 40/3

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Suppose y varies jointly as x and z. Find y when x=-9 and z=23, if y=117 when x=-3 and z=-11. Round your answer to the nearest h
Andrew [12]

Answer:

The value of y given the values of x and z in the question is -734.85

Step-by-step explanation:

This is a joint variation question.

First, we are made to know that y varies jointly as x and z.

The equation for this can be written as;

y = k * x * z

Where k is the constant of proportionality.

Let’s calculate k first.

117 = k * (-3) * (-11)

33k = 117

K = 117/33 = 3.55

Now, we proceed to get what y is when x = -9 and z = 23

Let’s plug these values into the initial equation written.

y = k * x * z

We use the value of k calculated above;

y = 3.55 * (-9) * (23) = -734.85

4 0
3 years ago
Read 2 more answers
Passing through (-2, 8) and PERPENDICULAR to y = 2x + 5
tangare [24]

Answer:

y=\frac{-1}{2} x+7

Step-by-step explanation:

The slope of a perpendicular line will always be the NEGATIVE RECIPROCAL of the slope of the original line.

y=2x+5

Because this equation is organized in slope-intercept form, y=mx+b, we can identify the slope of the original line is 2. The negative reciprocal of 2 is \frac{-1}{2}. Therefore, the slope of the perpendicular line is \frac{-1}{2}. So far, our equation looks like this:

y=\frac{-1}{2}x+b

Now, we must solve for b, the y-intercept of this line. To do that, we can plug in the given point (-2,8) and solve for b:

y=\frac{-1}{2}x+b\\8=\frac{-1}{2}(-2)+b\\8=\frac{2}{2} +b\\8=1+b

Subtract both sides by 1 to isolate b

8-1=1+b-1\\7=b

Therefore, the y-intercept of this line is 7.

After plugging both the slope and the y-intercept into y=mx+b, we get:

y=\frac{-1}{2} x+7

I hope this helps!

7 0
3 years ago
While riding her bike to the ocean and back home 5 times, Melissa timed herself at 53 min, 65 min, 56 min, sand 62 min. She had
miv72 [106K]

53 +65 +56 +62 = 236

60*5 = 300

300-236 = 64 minutes

7 0
4 years ago
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HELP MATH ASAP PLS HELP WILL GIVE BRAINLIEST THE ONES THAT ARE NOT CHECKED
Jlenok [28]

Answer:

d. $3 per lunch  

Step-by-step explanation:

Divide 66 by 22: 3

3 0
3 years ago
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HELP ME PLSSS ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Jobisdone [24]

Answer:

The question confused me a bit because of the different numbers.

The answer would be

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Step-by-step explanation:


7 0
4 years ago
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