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Sauron [17]
3 years ago
11

Find the solution for the system of linear equations by elimination: -3x + y = 2, 4x - y = 4 Explain how you found the solution.

Mathematics
1 answer:
viktelen [127]3 years ago
4 0

Answer:

x = 6 \\ y = 20

Step-by-step explanation:

1. Add the equations. The y's cancel out.

+ 4x - y =  + 4 \\  - 3x + y =  + 2 \\  -  -  -  -  -  -  -  \\ x = 6

2. Embed x in either equation and find y.

4x - y = 4 \\ 4(6) - y = 4 \\ 24 - y = 4 \\ 20 - y = 0 \\ y = 20

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Write the inequality!! Connie’s dog Fido weighs 35 pounds. Her vet placed Fido on a diet. What inequality can you write to find
Butoxors [25]

Answer:   \frac{35-28}{x} \leq 6

Step-by-step explanation:

Let x be the average number of pounds Fido must loss.

Since, the initial weight of Fido is 35 pounds.

And, After losing the weight, the new weight of Fido in pounds = 28 pounds.

Then the time taken for losing the weight

= \frac{\text{ The weight it losses}}{\text{ Average of losing weight per month}}

= \frac{35-28}{x}

According to the question,  it must lose weight within 6 months,

Thus,   \frac{35-28}{x}\leq 6

Which is the required inequality to find the average number of pounds per month.

By solving it we, get,    x\geq \frac{7}{6}

6 0
3 years ago
Which of the following is a pair of vertical angles? *
erastovalidia [21]

Answer:

1 and 3, 2 and 4, 5 and 7, and 8 and 65

Step-by-step explanation:

Vertical Angles Congruence Theorem

6 0
3 years ago
Can somebody plz help answer these three word questions correctly thanks a lot >33
miss Akunina [59]

Answer:

a) The percent of their games the hockey team won is 60%

b) The percent of their games the hockey team lost is 37% to the nearest percent

c) The percent of their games the hockey team tied is 3% to the nearest percent

Step-by-step explanation:

In any game, there are 3 situations

  1. Win
  2. Tie
  3. Lose

The sum of the three situations is the total number of playing that game

∵ The hockey team won 72 out of 120 games and tied 4

∴ The number of winning games = 72

∴ The number of tying games = 4

∴ The number of total games = 120

→ Find the number of losing games

∵ Win + ty + lose = total games

∴ 72 + 4 + lose = 120

∴ 76 + lose = 120

→ Subtract 76 from both sides

∴ lose = 44

∴ The number of losing games = 44

Now let answer the questions

a)

∵ P%(win) = (winning ÷ total) × 100%

∴ P%(win) = (72 ÷ 120) × 100%

∴ P%(win) = 60%

The percent of their games the hockey team won is 60%

b)

∵ P%(lose) = (losing ÷ total) × 100%

∴ P%(lose) = (44 ÷ 120) × 100%

∴ P%(lose) = 36.66667%  = 37% to the nearest percent

The percent of their games the hockey team lost is 37% to the nearest percent

c)

∵ P%(tie) = (tying ÷ total) × 100%

∴ P%(tie) = (4 ÷ 120) × 100%

∴ P%(tie) = 3.333333%  = 3% to the nearest percent

The percent of their games the hockey team tied is 3% to the nearest percent

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3 years ago
12×7= 23 or 84 given the following
Inga [223]

Answer:

84

Step-by-step explanation:

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It took 30 minutes to arrive to each destination
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