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Murljashka [212]
3 years ago
10

Solve 4x + 8y = 16 for x.

Mathematics
2 answers:
leonid [27]3 years ago
8 0
I got x = 4-2y

4x+8y=16
-8y=-8y

4x=16-8y
— ——-
4 4

x=4-2y
Ad libitum [116K]3 years ago
6 0
<h2>C) X = -2y + 4 </h2>

4x + 8y = 16

4x = 16 - 8y

4x = 4 (4 - 2y)

x = 4( 4 - 2y)/4

X = 4 - 2y

X = -2y + 4

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3 years ago
An actor invests some money at 7%, and $24000 more than four times the amount at 8%. The total annual interest earned from the i
natita [175]

Answer:

  • $70,000 at 7%
  • $304,000 at 8%

Step-by-step explanation:

<u>Given</u>:

  Total interest earned on two investments is $29,220.

  An amount is invested at 7%.

  $24,000 more than 4 times that amount is invested at 8%.

<u>Find</u>:

  The amount invested at each rate.

<u>Solution</u>:

  Our strategy will be to define a variable representing the amount invested at 7%, use that variable to write an expression for the amount invested at 8%, then write an equation for the total return on the investments.

Let x represent the amount invested at 7%. Then (24,000+4x) will be the amount invested at 8%. The total interest earned will be ...

  interest on 7% account + interest on 8% account = total interest

  0.07x + 0.08(24000+4x) = 29220

  0.39x + 1920 = 29220 . . . . . . . . . . . simplify

  0.39x = 27300 . . . . . . . . . . . . . . . . . .subtract 1920

  x = 27300/0.39 = 70000 . . . . . . . . . divide by the coefficient of x

  24,000 +4x = 24,000 +280,000 = 304,000 . . . . amount invested at 8%

He invested $70,000 at 7% and $304,000 at 8%.

<u><em>Check</em></u>

The answer must satisfy ...

  7% interest + 8% interest = 29,220

  0.07×70,000 +0.08×304,000 = 4,900 +24,320 = 29,220 . . . . as required

_____

<em>Comment on 6-step method</em>

We have tried to hit the highlights. Your steps appear to be ...

  1. Identify the given information (Given)
  2. Identify the question you are asked to answer (Find)
  3. Identify the useless information in the problem statement (is none)
  4. Decide on a strategy. Make a model or drawing. (model equation shown)
  5. Solve and show work (Solution)
  6. Explain why the answer makes sense (Check)
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3 years ago
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Sloan [31]
Hope this is a help for u
3x
30

5 0
3 years ago
Given matrices S and T below, which statement is true?
harina [27]
The matrices are
S =(4 11                           T= ( -8 11
      -3  -8)                                 3  4 )
Inverse of a matrix is a matrix derived from another matrix such that if you pre- multiply it with the original matrix you get a unit matrix.
if we multiply S and T
 ST will be 
        ( 4 11    ×      (-8 11   = ( 1 0
          -3 -8)           -3 -4)         0 1)
and also TS
          ( -8 11      ×     (4 11  = ( 1 0
             -3 -4)            -3 -8)       0 1)
therefore, matrices S and T are inverses of each other because ST = TS= I 



.
8 0
3 years ago
Read 2 more answers
A rectangular field has an area of 1764 square meters. The width of the field is 13 meters more than the length. What is the per
sveticcg [70]

Answer:

170m

Step-by-step explanation:

The answer to the above question is letter d which is 170 m. To get the 170 m, kindly check the below solution: 

x^2 + 13x = 1764 so x = -49 and 36, we take 36 as its the positive value. And the other side is 49. Now use 2(l+b) to find perimeter. You get (36+49)*2 = 170

4 0
3 years ago
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