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solong [7]
2 years ago
14

When is it best to solve a system of equations using substitution?

Mathematics
1 answer:
WINSTONCH [101]2 years ago
8 0

Answer:

The easiest way to solve this system would be to use substitution since x is already isolated in the first equation. Whenever one equation is already solved for a variable, substitution will be the quickest and easiest method

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crimeas [40]
It’s 3.8 inches I’m pretty sure
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3 years ago
12. The average bowling score of the 5-member in Regional High School bowling team is 128. If all the members of the team get th
mel-nik [20]

Answer:

C

Step-by-step explanation:

The average is the total of the scores divided by 5.  

128 x 5 Gives us the total scores of 640.  I know that one bowler had a score of 160.  I will subtract that from the total of 640.  640-160 = 480.  Since the 4 bowlers left, all had the same score, I will divide 480 by 4 to get 120

3 0
2 years ago
The coffee Lily likes is composed of 97.3% water and 2.7% cocoa. The coffee John likes is composed of 96% water and 4% cocoa. Ho
mestny [16]

30 ounces of the coffee John likes consists of

  • 0.96\cdot30=28.8 ounces of water
  • 0.04\cdot30=1.2 ounces of cocoa

To this mixture we're adding x ounces of water, so that the new mix has a total volume of 30+x ounces and matches the composition of the coffee Lily likes. This means it would consist of

  • 0.973\cdot(30+x)=28.8+x ounces of water
  • 0.027\cdot(30+x)=1.2 ounces of cocoa (same amount of cocoa as before because pure water is being added)

Solve for x:

0.973(30+x)=28.8+x\implies29.12+0.973x=28.8+x

\implies0.39=0.027x

\implies x\approx14.4

###

Just to confirm: the new mixture consists of

  • 28.8+14.4=43.2 ounces of water
  • 1.2+0=1.2 ounces of cocoa

giving a total volume of 43.2+1.2=44.4 ounces of coffee, and \dfrac{43.2}{44.4}\approx0.973, as required.

4 0
4 years ago
3(x-6) + 4 + 5x - 6<br><br> (use distributive property)<br><br> please help asap!
Dmitry_Shevchenko [17]

Answer:

8x - 20

Step-by-step explanation:

3(x - 6) + 4 + 5x - 6         \longmapsto       Distribute 3 to (x - 6)

3(x) - 3(6) + 4 + 5x - 6

3x - 18 + 4 + 5x - 6

Simplify:

3x + 5x - 18 + 4 - 6

8x -18 - 2

8x - 20

-Chetan K

3 0
3 years ago
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You have a spinner with the following colors 2 yellow, 4 red, and 2 orange. What is the likelihood of the spinner landing on YEL
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Answer:

b i think

Step-by-step explanation:

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3 years ago
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