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PolarNik [594]
3 years ago
12

Determine whether quantities vary directly or inversely and find the constant of variation.

Mathematics
1 answer:
insens350 [35]3 years ago
7 0
This is a problem in direct variation.  For every five minutes that goes by, Liz utters 225 words.  The general form of an equation of direct variation is 

w = k x, where w is the # of words, k is the constant of proportionality and x is the number of minutes that have elapsed.

Find k by dividing 225 words by 5 minutes, to find the number of words per minute.

Next:  How many minutes are there between 10:30 a.m. and 11:15 a.m.?  Calculate w=kx, using your constant of proportionality, k, and that number of minutes.
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Calculate the volume of the following object:
frozen [14]

Answer:

262.44 cubic metres.

Step-by-step explanation:

First, we can calculate the volume of the cylinder by doing pi * r^2 * h. In this case, r is 5 / 2 and h is 7.

pi * (5/2)^2 * 7 = pi * 25/4 * 7 = pi * 6.25 * 7 = pi * 43.75 = 3.14159265 * 43.75 = 137.4446784 cubic m.

Seconds, we calculate the volume of the cube. It is 5^3 = 5 * 5 * 5 = 25 * 5 = 125 cubic m.

137.4446784 + 125 = 262.4446784, which is about 262.44 cubic metres.

Hope this helps!

3 0
3 years ago
Read 2 more answers
0.6x-0.1=0.5x+2 <br> The solution set is {_} <br><br> PLEASE PLEASE PLEASE EXPLAIN HOW
timurjin [86]

Answer:

21

Step-by-step explanation:

Step 1:

0.6x - 0.1 = 0.5x + 2      Equation

Step 2:

0.1x - 0.1 = 2     Subtract 0.5x on both sides

Step 3:

0.1x = 2.1     Add 0.1 on both sides

Step 4:

x = 2.1 ÷ 0.1    Divide

Ansewr:

x = 21

Hope This Helps :)

3 0
4 years ago
The top five test scores in Mr. Rhodes’s class were: 98, 92, 96, 97, and 97. What is the mean absolute deviation?
PIT_PIT [208]

Answer:

A

Step-by-step explanation:

4 0
3 years ago
What is the slope of this graph
Elden [556K]

Answer:

The slope of the line = m = 2

Step-by-step explanation:

Given

The points

  • (0, 0)
  • (1, 2)

To determine:

The slope of this graph

Determining the slope between (0, 0) and (1, 2)

  • (x₁, y₁) = (0, 0)
  • (x₂, y₂) = (1, 2)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [2 - 0] / [1 - 0]

               = 2 / 1  

Thus, the slope of the line = m = 2

8 0
3 years ago
Your family eats at Pizza Hut for dinner. The pizza is $12.99. An order of bread sticks is $5.99. Four drinks were purchased for
Anton [14]

Answer:

$22.87

Step-by-step explanation:

12.99+5.99+2.20=21.18

22.18x.08=1.6944

1.69+22.18=22.87

7 0
3 years ago
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