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Y_Kistochka [10]
3 years ago
8

What is 16 - 2t = t + 9 +4t

Mathematics
2 answers:
Sliva [168]3 years ago
7 0

Answer:

t=1

Step-by-step explanation:

16-2t = t + 9 +4t

combine like terms

16-2t = 5t + 9

add 2t to both sides

16-2t+2t = 5t+9+2t

combine like terms

16=7t+9

subtract 9 from both sides

16-9=7t+9-9

combine like terms

7=7t

divide both sides by 7

t=1

Novosadov [1.4K]3 years ago
3 0

Answer:

16=t+9+4t+2t

16=9+7t

16-9=7t

7=7t

t=1

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2. Match each set of equations with the move that turned the first
Evgen [1.6K]

Answer:

Step-by-step explanation:

1) In the first equation, - 4x was added to both sides of the equation. This is expressed as

6x - 4x + 9 = 4x - 4x - 3

2x + 9 = - 3

2) In the second equation, both sides of the equation was multiplied by - 1/4. This is expressed as

- 4 × - 1/4(5x - 7) = - 18 × - 1/4

5x - 7 = 4.5

3) In the third equation, - 4 was added to both sides of the equation. This is expressed as

8 - 10x = 7 + 5x

8 + (- 4) - 10x = 7 + (-4) + 5x

8 - 4 - 10x = 7 - 4 + 5x

4 - 10x = 5 + 5x

4) In the fourth equation, both sides of the equation was multiplied by - 4. This is expressed as

- 5x/4 × - 4 = 4 × - 4

5x = - 16

5) In the fourth equation, both sides of the equation was multiplied by 1/4x and 1/4. This is expressed as

12x × 1/4x + 4 × 1/4 = 20x × 1/4x + 24 × 1/4

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6 0
3 years ago
Abby can buy bottles of water in packages of 6 for $8.22 or in packages of 4 for $8.52. How much money does she save by buying 1
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4 years ago
Find the equation of a line perpendicular to y - 12 = 2x – 8 that passes through the point (2, 3). (answer in slope-intercept fo
Alla [95]

Answer:

\displaystyle y=-\frac{1}{2}x+4

Step-by-step explanation:

<u>Equation of a Line</u>

We can find the equation of a line by using two sets of data. It can be a pair of ordered pairs, or the slope and a point, or the slope and the y-intercept, or many other combinations of appropriate data.

We are given a line

y - 12 = 2x -8

And are required to find a line perpendicular to that line. Let's find the slope of the given line. Solving for y

y = 2x +4

The coefficient of the x is the slope

m=2

The slope of the perpendicular line is the negative reciprocal of m, thus

\displaystyle m'=-\frac{1}{2}

We know the second line passes through (2,3). That is enough information to find the second equation:

y-y_o=m'(x-x_o)

\displaystyle y-3=-\frac{1}{2}(x-2)

Operating

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\displaystyle y=-\frac{1}{2}x+4

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8 0
3 years ago
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4 0
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1. Regina. Phil and Joseph each wrote expressions to represent their hourly
aleksandrvk [35]

Answer:

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6.5h=3(2.5h+5), This is an equation to find the number of hours it will take for them to get equal pay. Now, simplify.

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-h=15

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Phil has a higher rate and starting value, this means that Regina will never make the same amount working the same hours.

6 0
3 years ago
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