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ser-zykov [4K]
3 years ago
7

A married couple together earns 110,000 a year. The wife earns 16,000 less than twice what her husband earns.what does the husba

nd earn
Mathematics
1 answer:
Alex17521 [72]3 years ago
4 0
If we place what the husband earns as h and what the wife earns as w, we can begin...
w + h = 110000

but w = 2h - 16000

We can turn it into..

2h - 16000 + h = 110000

Which we can then combine into..

3h - 16000 = 110000

Add 16000 and..

3h = 126000

Divide by three...

h = 42000

(nice)

The husband earns 42,000$ a year

Bonus: The wife then earns 68,000$

42,000 (or h) + 68,000 (or w) = 110,000

Because this is the original equation, we are correct.



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lina2011 [118]

Equivalent expressions are expressions with equal values

The equivalent expression is 16.5d+9

<h3>How to determine the equivalent expression</h3>

The expression is given as:

14.5d+8.5-1/2d+1/2+2.5d

Express the fractions as decimals

14.5d+8.5-0.5d+0.5+2.5d

Collect like terms

14.5d-0.5d+2.5d+8.5+0.5

Evaluate the like terms

16.5d+9

Hence, the equivalent expression is 16.5d+9

Read more about equivalent expressions at:

brainly.com/question/2972832

7 0
2 years ago
30 points I'm struggling Find the equations of each line and show all of your work. (1, 5) (2, 6) (1, 1) (3, -8) (2, -3) (5, -2)
Free_Kalibri [48]

Answer:

1.(1,5) and (2,6) , 6-5/2-1=1/1 m=1 ,y=1x+b

5=1(1)+b 4=b

y=x+4

2.(1,1) and (3,-8) -8-1/3-1=-9/2 m=-9/2 ,y=-9/2x+b

1=-9/2(1)+b b=11/2

y=-9/x+11/2

3.(2.-3) and (5,-2) m=1/3 ,y=1/3x+b

-3=1/3(2)+b -3=2/3+b

-3-2/3=b

 b=-11/3

y=1/3x-11/3

4.(2,5)and (4,3) m=-1 y=-1x+b

5=-1(2)+b 5=-2+b

5+2=b

b=7

y=-1x+7

6.(-3,-5) and (-1,-3) m=2/2=1 y=1x+b

-5=1(-3)+b -5=-3+b

-5+3=b

-2=b

y=1x-2

Step-by-step explanation:

7 0
3 years ago
Find the volume of the cubes or rectangular prisms in cubic centimeters.
DanielleElmas [232]

a) Volume of Rectangular prism is \frac{36}{125}\,\,cm^3

b) Volume of cube is \frac{8}{125}\,\,cm^3

c) Volume of cube is \frac{1}{125}\,\,cm^3

d) Volume of Rectangular prism is \frac{6}{125}\,\,cm^3

Step-by-step explanation:

Part a)

Volume of rectangular prism with

length= \frac{3}{5}\,\,cm

width= \frac{4}{5}\,\,cm

height = \frac{3}{5}\,\,cm

The formula used to find Volume of rectangular prism is:

Volume\,\,of\,\,rectangular\,\,prism=length*width*height

Putting values:

Volume\,\,of\,\,rectangular\,\,prism=\frac{3}{5} *\frac{4}{5} *\frac{3}{5}\\Volume\,\,of\,\,rectangular\,\,prism=\frac{36}{125}\,\,cm^3

So, Volume of Rectangular prism is \frac{36}{125}\,\,cm^3

Part b)

Volume of cube with side length of \frac{2}{5}\,\,cm

The formula used to find Volume of cube is:

Volume\,\,of\,\,cube=length^3

Putting value of length and finding volume:

Volume\,\,of\,\,cube=length^3\\Volume\,\,of\,\,cube=(\frac{2}{5})^3\\ Volume\,\,of\,\,cube=\frac{8}{125}\,\,cm^3

So, Volume of cube is \frac{8}{125}\,\,cm^3

Part c)

Volume of cube with side length of \frac{1}{5}\,\,cm

The formula used to find Volume of cube is:

Volume\,\,of\,\,cube=length^3

Putting value of length and finding volume:

Volume\,\,of\,\,cube=length^3\\Volume\,\,of\,\,cube=(\frac{1}{5})^3\\ Volume\,\,of\,\,cube=\frac{1}{125}\,\,cm^3

So, Volume of cube is \frac{1}{125}\,\,cm^3

Part d)

Volume of rectangular prism with

length= \frac{1}{5}\,\,cm

width= \frac{2}{5}\,\,cm

height = \frac{3}{5}\,\,cm

The formula used to find Volume of rectangular prism is:

Volume\,\,of\,\,rectangular\,\,prism=length*width*height

Putting values:

Volume\,\,of\,\,rectangular\,\,prism=\frac{1}{5} *\frac{2}{5} *\frac{3}{5}\\Volume\,\,of\,\,rectangular\,\,prism=\frac{6}{125}\,\,cm^3

So, Volume of Rectangular prism is \frac{6}{125}\,\,cm^3

Keywords: Volume

Learn more about Volume at:

  • brainly.com/question/6443737
  • brainly.com/question/12497249
  • brainly.com/question/12613605

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At a sale, coats were sold for 52% of their original price. If the coats originally cost $200 each, how much did a coat cost on
Talja [164]

Answer is 104

Step-by-step explanation:

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3 years ago
Brainliest + 60 points
Elenna [48]
It’s the last option

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3 years ago
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