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lapo4ka [179]
3 years ago
10

What should be the first step in solving 13 y − 14 = 42?

Mathematics
1 answer:
AveGali [126]3 years ago
8 0

Answer:

The first step should be adding 14 to both sides of the equation.

Step-by-step explanation:

14 must be added on both sides of the equation to get 13y by itself. The ultimate goal is to get y by itself if we are solving for y.

Once 14 is added on both sides, you'll get:

13y = 56.

Then 13 would be divided from both sides.

y = 4.3

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2root 3 x 3 root 8 fully simplified
LuckyWell [14K]

Answer:

  • 12\sqrt{6}

Step-by-step explanation:

<h3>Given expression</h3>

  • 2 \sqrt{3} *3\sqrt{8}

<h3>Simplify the expression in steps as below</h3>

  • 2 \sqrt{3} *3\sqrt{8}  =
  • 2 \sqrt{3} *3\sqrt{2^2*2} =
  • 2 \sqrt{3} *3*2\sqrt{2} =
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8 0
2 years ago
Suppose you start with a full tank of gas (14 gallons) in your truck. After driving 4 hours, you now have 2
Alex73 [517]

Answer:

  a) -3 gallons per hour

  b) y = -3x +14

Step-by-step explanation:

Rate of change is computed by dividing the amount of change by the interval over which it occurred.

<h3>a)</h3>

Here the amount of gas decreased from 14 to 2 gallons, so a decrease of 14-2 = 12 gallons. That occurred over a 4-hour period, so the rate of change is (-12 gallons)/(4 hours) = -3 gallons/hour.

__

<h3>b)</h3>

The initial amount was 14 gallons, so the equation for the line describing remaining gas will be ...

  y = -3x +14 . . . . gas in the tank after x hours

4 0
2 years ago
The difference of a number and 6 is the same as 5 times the sum of the number and 2
gavmur [86]

Answer:

n - 6 = 5 * ( n + 2 ) ; n = -4

Step-by-step explanation:

For this problem, we will use the words to create an equation.  The left hand side of the equation will be the difference of a number and 6 and the right hand side of the equation will be 5 times the sum of the number and 2.  Hence, we can build the equation:

n - 6 = 5 * ( n + 2 )

If we wanted, we can solve the equation for the number, n.

n - 6 = 5 * ( n + 2 )

n - 6 = 5 * n + 5 * 2

n - 6 = 5n + 10

-16 = 4n

-4 = n

Thus, we have found the missing number to be negative four.

Cheers.

3 0
4 years ago
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