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Alexxx [7]
3 years ago
7

Nancy created a graph to predict the pay she will take home after taxes are taken from her income. Using the information on the

graph, what is the constant of proportionality?
a. 0.48
b.0.6
c.0.8
d.1.25

Mathematics
2 answers:
deff fn [24]3 years ago
5 0
The answer is c. 0.8

Elena L [17]3 years ago
4 0

Answer:

Option C. 0.8

Step-by-step explanation:

Nancy created a graph to predict the pay she will take home from her income.

The constant of proportionality will be = \frac{\text{Take home pay}}{\text{Nancy's income}}

For the income of $80 constant of proportionality = \frac{48}{60}=0.8

and for the income of $130 constant of proportionality = \frac{104}{130}=0.8

Therefore, option C. constant of proportionality = 0.8 is the answer.

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IRINA_888 [86]

Answer:

\boxed{ \text{10.9 ft}}

Step-by-step explanation:

The formula for the volume of a cylinder is

V = πr²h

Data:

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h = 34.5 ft

Calculations:

I assume the gasoline tank is lying on its side, so we are asked to find the diameter of the tank.

(a) Convert the volume to cubic feet

V= 20 000 gal × (1 ft³/7.48 gal) = 2674 ft³

(b) Calculate the radius of the tank

V = πr²h

r² = V/(πh) = 2674/(π × 34.5) = 24.67 ft²

r = √24.67 = 4.967 ft

(c) Calculate the diameter of the tank

d = 2r = 9.934 ft

(d) Calculate the length of the measuring pole

l = d + 1 = 9.934 + 1 = \boxed{ \textbf{10.9 ft}}

8 0
3 years ago
A(-2,3)
Anika [276]

Answer:

The perimeter of triangle is 19.8 units

Step-by-step explanation:

we know that

The perimeter of triangle ABC is

P=AB+BC+AC

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

step 1

Find the distance AB

we have

A(-2,3),B(3,0)

substitute in the formula

d=\sqrt{(0-3)^{2}+(3+2)^{2}}

d=\sqrt{(-3)^{2}+(5)^{2}}

d_A_B=\sqrt{34}\ units

step 2

Find the distance BC

we have

B(3,0),C (-4,-3)

substitute in the formula

d=\sqrt{(-3-0)^{2}+(-4-3)^{2}}

d=\sqrt{(-3)^{2}+(-7)^{2}}

d_B_C=\sqrt{58}\ units

step 3

Find the distance AC

we have

A(-2,3),C (-4,-3)

substitute in the formula

d=\sqrt{(-3-3)^{2}+(-4+2)^{2}}

d=\sqrt{(-6)^{2}+(-2)^{2}}

d_A_C=\sqrt{40}\ units

step 4

Find the perimeter

P=AB+BC+AC

substitute the values

P=\sqrt{34}+\sqrt{58}+\sqrt{40}

P=19.8\ units

4 0
2 years ago
The library has thirteen
dybincka [34]

Answer:

If the shelves  are 4/5 full, then the total number of books in the library is 1,040 books

Step-by-step explanation:

13 roll of bookcases

All the bookcases have four shelves

Total number of shelves = 4 x 13

                                        = 52 shelves

Each shelve holds 25 books each

Total number of books that can be in the shelves altogether = 52 x 25

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If the shelves  are 4/5 full, then the total number of books in the library is,

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5 0
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Flauer [41]

Answer:

3

Step-by-step explanation:

slope = (y2-y1)/(x2-x1)

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3

7 0
2 years ago
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omeli [17]

Answer:

400

Step-by-step explanation:

7 0
3 years ago
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