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elixir [45]
3 years ago
6

5(F + 4) = 4(f – 6) I REALLY NEED HELP!! please help asap and help me solve it step by stel

Mathematics
1 answer:
Setler [38]3 years ago
5 0
5(F + 4)= 4( f -6)
5f + 20 = 4f -24
-4f. - 4f
F + 20 = -24
- 20. -20
F = -44
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A family has three children.The oldest is 4 years older than the middle,and the youngest child is 2 years younger than the middl
lesantik [10]

Answer:

The age of the youngest child = x = 6 years

The age of middle child = y = 8 years

The age of the oldest child = z = 12 years

Step-by-step explanation:

Let us represent:

The age of the youngest child = x

The age of middle child = y

The age of the oldest child = z

The sum of the ages of the children is 26.

Hence: x + y + z = 26...... Equation 1

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z = 4 + y

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x = y - 2

Hence, we substitute 4 + y for z and y - 2 for x in Equation 1

x + y + z = 26...... Equation 1

y - 2 + y + 4 + y = 26

y + y + y -2 +4 = 26

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3y + 2 - 2 = 26 - 2

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y = 24/3

y = 8

Solving for x

x = y - 2

x = 8 - 2

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Solving for z

z = 4 + y

z = 4 + 8

z = 12

Therefore:

The age of the youngest child = x = 6 years

The age of middle child = y = 8 years

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3 years ago
Triangle angle - sum theorem<br> what is the value of y?
dangina [55]

Answer:

y = 5

Step-by-step explanation:

All angle measures in a triangle add up to 180°.

  • This means that 63 + 82 + 7y = 180

<u>Solving for Y:</u>

Step 1: Combine like terms.

  • (7y) + (63+82)=180
  • 7y + 145 = 180

Step 2: Subtract 145 from both sides.

  • 7y + 145 - 145 = 180 - 145
  • 7y = 35

Step 3: Divide both sides by 7.

  • \frac{7y}{7} = \frac{35}{7}
  • y = 5

Step 4: Check if solution is correct.

  • 7(5) + 63 + 82 = 180
  • 35 + 63 + 82 = 180
  • 98 + 82 = 180
  • 180 = 180

Therefore, y = 5.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

3 0
2 years ago
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