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hjlf
3 years ago
12

I. The cost of hiring a mover is based on the distance traveled and the total weight of the objects moved. II. The amount of tim

e needed to paint a house decreases as the number of painters increases. III. The income of a worker who gets paid an hourly wage depends on the number of hours worked. What type of variation describes each relationship?
Mathematics
1 answer:
oee [108]3 years ago
4 0

Step-by-step explanation:

let us attend to each cases one after the other. each relationship is in bold in parenthesis

1. The cost of hiring a mover is based on the distance traveled and the total weight of the objects moved. (positive or direct proportional relationship)

2. The amount of time needed to paint a house decreases as the number of painters increases.(Negative or inverse relationships)

3. The income of a worker who gets paid an hourly wage depends on the number of hours worked positive or direct proportional relationship)

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I would like to know the value of b and c
Ratling [72]

Answer:

a = 3, b = 8, c = 14

Step-by-step explanation:

First, we can organize this, putting lower values first.

2, 3, 3, 5, 9, 9, 11, 12

a , b , c somewhere there

Given this information, one thing we can look at first is the mode. The mode is 3, so there must be more 3s than any other number. Currently, there are 2 3s and 2 9s, so there must be at least one more 3 and no more 9s to make that true. Therefore, a, b, or c is 3. Therefore, we have

2, 3, 3, 3, 5, 9, 9, 11, 12

2 of a, b, c somewhere in there

Next, the median is 8. In our current state, the median is 5. There are 9 numbers, with 11 total including the 2 remaining values. Because there will be an odd amount of values, the median must be a number on the list. Therefore, our list is

2, 3, 3, 3, 5, 8, 9, 9, 11, 12

1 of a, b, c somewhere in there

There are 4 numbers above the median and 5 numbers below right now. To balance this out, there must be another number above the median. As a consequence, the remaining value must be greater than 8.

Finally, we know that the range is 12, so maximum - minimum = 12. Because the remaining number must be greater than 8, the minimum number is 2, no matter what. Therefore,

maximum - 2 = 12

add 2 to both sides to isolate maximum

maximum = 14

There is no 14 currently on the list, so the remaining value must be 14.

Our a, b, and c are as follows, in order from smallest to largest:

3, 8, 14

8 0
2 years ago
X + 2y = -4 in graph
MariettaO [177]

Equation Answer:

y = -½x - 2

Graph:

3 0
2 years ago
Select the procedure that can be used to show the converse of the
Vera_Pavlovna [14]

Answer:

The correct option is C

Step-by-step explanation:

I attached an image that forms the complete question.

The converse Pythagorean theorem states that, "If the square of the longest side of a triangle is equal to the square of the other two sides, then the triangle is a right triangle."

That is if c is the longest side of a triangle and then a and b are the other sides, then if,

c² = a² + b², the triangle is a right triangle.

Looking at all the options, option C fits the theorem well. Because

3² + 4² = 5² implies the triangle is a right triangle and the converse theorem is established.

The option D also looks close, but it's not correct because you can just draw any two sides and put the right angle in between them. The longest is always the part of the triangle that is opposite to the right angle, 90°. If for instance, you draw 3 and 5 then put the right angle in between them, 4 will take the position of the longest side which is wrong.

Therefore, the correct option is c.

7 0
3 years ago
$600 7) Nika puts 42 beads in each necklace. Which is the best way to use rounding numbers to estimate the number of beads Nika
kkurt [141]

Answer:

20 X 40 = 800 (split into 2 fourths) = 40

Step-by-step explanation

20 x 40 = 800;

For 2 necklaces she can split 800 into fourths.

800 - 40 = 80. (1 fourth)

80 - 40 = 40 (2 fourths)

40 - 40 = 0 (3 fourths)

She could split 800 into 2 fourths to get a number more than 0 and less then 42.

The best estimate of rounding 42 is 40. Because 40 is closer to 42.

4 0
3 years ago
A moving company charges a base fee of $280 for a move plus $50 per hour of time. If H represents the number of hours of time, a
Gekata [30.6K]
C = 280m + 50H
…………..
6 0
3 years ago
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