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Harlamova29_29 [7]
3 years ago
12

If v varies directly as w, and v=24 when w= 8, find the equation that relates v and w

Mathematics
1 answer:
Zigmanuir [339]3 years ago
5 0

Answer:

v=3w

Step-by-step explanation:

v∝w

v=kw

24=8k

k=24/8 = 3

equation connecting v and w is

v=3w

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The sum of a number and three is doubled and then added to the product of six and the original number to give forty six
Zina [86]

Answer:

The number is 5

Step-by-step explanation:

Let x represent the number

Now let's break it down!

Sum of a number and 3 gives;

x + 3

This is then doubled to give;

2* (x + 3)

This is added to the product of 6 and the original number to give 46

Product of 6 and the original number = 6 * x

Now 2* (x + 3) is added to 6 * x to give 46

2* (x + 3) + 6*x = 46

2x + 6 + 6x = 46

8x + 6 = 46

Subtract 6 from both sides

8x + 6 - 6 = 46 - 6

8x = 40

x = 40/8

x = 5

Hence, the number is 5

3 0
3 years ago
Given the function graphed below, what is the average rate of change between f(3) and f(7)?
Shkiper50 [21]
Answer: choice D) 20

-------------------------------

Explanation:

Locate 3 on the x axis number line. Draw a vertical line through 3 and this vertical line will cross the parabola at some point P. Mark this point P on the parabola. Then draw a horizontal line from P to the y axis. The horizontal line will land on y = 10. In short, this all shows us that (3,10) is a point on this parabola.

Repeat those steps above, but now for x = 7. You'll see that (7,90) is another point on this parabola.

We need to find the slope of the line through the two points (3,10) and (7,90). The average rate of change from x = 3 to x = 7 is the same as the slope of the line through those two points.

To find the slope, we use the slope formula
m = (y2 - y1)/(x2 - x1)
where (x1,y1) and (x2,y2) are the two points, and m is the slope

In this case,
(x1,y1) = (3,10) and (x2,y2) = (7,90)
further breaking down to
x1=3
y1=10
x2=7
y2=90
So we'll plug those four pieces of info into the equation and simplifying to get...
m = (y2 - y1)/(x2 - x1)
m = (90 - 10)/(7 - 3)
m = 80/4
m = 20

The slope of the line is 20, so therefore, the average rate of change is 20.

6 0
3 years ago
Ardit has 8 chapters of a book left to read. He reads 2/3 of a chapter each day. How many days does it take to finish reading th
abruzzese [7]
3days=3chapters so he would have to read for 8 days
6 0
3 years ago
What is the length of VS?
hram777 [196]

Answer:

use pythag

half 5 = 2.5

half 12 = 6

6^2 + 2.5^2=42.25

42.25 sprout =13/2= 6.5

answer = 6.5

4 0
3 years ago
–5(–2) = <br><br> Please Show How You Did it :)5
Dvinal [7]

Answer:

10

Step-by-step explanation:

well you are multiplying -5 and -2. When multiplying two negative numbers you get a positive. 5x2= 10.

4 0
3 years ago
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