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son4ous [18]
3 years ago
7

Oliver works at a bookstore.He packed 20 identical paperbacks and 9 identical textbooks in a box. The total mass of the books wa

s 44.4 pounds. After he put 1 more textbook and 5 more paperbacks in the box, the total mass of the books was 51 pounds.
Write a system of equations that can used to determine p, the mass, in pounds, of one paperback, and t, the mass, in pounds of one textbook.
Mathematics
1 answer:
max2010maxim [7]3 years ago
8 0
In the problem, the first equation should be represented like this base on the variable given in the problem:

20p + 9t = 44.4

with that equation, the second equation would is given by this formula, in response with the additional number of paperback and textbook

21p + 14t = 51

to get the system equation in getting the mass of each variable, you should subtract the two equation to simplified the formula.

   20p + 9t = 44.4
 - 21p + 14t = 51
-------------------------
p + 5t = 6.6 // this is the system equation that could be use in getting the mass of each object
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cupoosta [38]

Step-by-step explanation:

−2x+5y=−15 and 5x+2y=−6

Rewrite equations:

−2x+5y=−15;5x+2y=−6

Step: Solve−2x+5y=−15for x:

−2x+5y=−15

−2x+5y+−5y=−15+−5y(Add -5y to both sides)

−2x=−5y−15

−2x−2=−5y−15−2(Divide both sides by -2)

x=52y+152

Step: Substitute52y+152forxin5x+2y=−6:

5x+2y=−6

5(52y+152)+2y=−6

292y+752=−6(Simplify both sides of the equation)

292y+752+−752=−6+−752(Add (-75)/2 to both sides)

292y=−872

292y292=−872292(Divide both sides by 29/2)

y=−3

Step: Substitute−3foryinx=52y+152:

x=52y+152

x=52(−3)+152

x=0(Simplify both sides of the equation)

Answer:

x=0 and y=−3

8 0
2 years ago
Which equation results from adding the equations in this system?
Diano4ka-milaya [45]

Answer:

  • D. - 5x = - 10

Step-by-step explanation:

<u>Given equations:</u>

  • -8x+8y = 8
  • 3x-8y=-18

<u>Add together:</u>

  • -8x + 8y + 3x - 8y = 8 - 18
  • - 5x = - 10

Correct option is D

7 0
3 years ago
Which mortal kombat character is yalls favorite? Mine is kabal.
Andrews [41]

Answer:

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Step-by-step explanation: i love mortal combat lol

3 0
2 years ago
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Consider Michelle and Gladys, two neighbors who each earn the same salary. Gladys pays less in federal income taxes than Michell
goldenfox [79]

Sad to say it is likely D.  If you are in the United States, I wouldn't know what deductions are available, but here are some possibilities.

1. Gladys is a single Mom. She gets to deduct her child.

2. Gladys owns her own home and gets to deduct her municipal tax. Michelle is renting and may be able to deduct something but not as much.

3. Gladys gets to deduct medical expenses. Michelle does not.

4. Gladys has a travelling allowance that is deductible. Michelle does not.

5. Gladys goes to church and tithes. Michelle does not.

6. Gladys has a registered savings plan. Michelle does not.

The problem is that the two women might very well be in a different tax bracket when all the deductions are considered. That depends on how the US system works. I don't think you are supposed to choose A. All other things being equal, they should be in the same tax bracket.

I don't see how B would come about. Usually state is dependent on Federal (it is in Canada anyway).

C is definitely wrong unless the savings plan is registered. Any savings plan that produces dividends or interest that is not registered is taxable.


8 0
3 years ago
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Paha777 [63]

Answer: -18

<u>Explanation:</u>

Average rate of change is slope: \frac{y_{2}-y_{1}}{x_{2}-x_{1}}.  Need to find the y-coordinates:

g(x) = -x² - 4x

g(6) = -(6)² - 4(6)

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      = -60

⇒ (6, -60)

g(8) = -(8)² - 4(8)

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      = -96

⇒ (8, -96)

m = \frac{-96 - (-60)}{8 - 6}

   = \frac{-36}{2}

   = -18

7 0
3 years ago
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