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astraxan [27]
3 years ago
14

If x/2 + 3y=6, then solve for x in terms of y and y in terms of x

Mathematics
1 answer:
Elden [556K]3 years ago
5 0
X/2 +3y = 6 . . . . . . . . starting point
x/2 = 6 -3y . . . . . . . . subtract terms that don't have x
x = 2(6 -3y) . . . . . . . . multiply by the inverse of the x-coefficient
x = 12 -6y . . . . . . . . . expand if you like

3y = 6 -x/2 . . . . . . . . subtract terms that don't have y
y = (6 -x/2)/3 . . . . . . . multiply by the inverse of the y-coefficient
y = 2 -x/6 . . . . . . . . . expand if you like
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Write and graph an equation in two variables that shows the relationship between the time and the distance.
cluponka [151]

Answer:

The relation between the time and the distance will be:

y = 15x

The graph of the equation y = 15x is attached below.

Step-by-step explanation:

We know that the equation of linear function in two variables in the slope-intercept form is

y = mx+b

where

  • m is the rate of change or slope
  • b is the y-intercept

Let y be the distance

Let t be the time

Given that the object moves 15 meters in 1 second.

Thus, the rate of change or slope = m = 15

As there is no initial condition in our case.

Thus the y-intercept b = 0

Now, substituting m = 15 and b = 0 in the linear function

y = mx+b

y = 15x + 0

y = 15x

Therefore, the relation between the time and the distance will be:

y = 15x

The graph of the equation y = 15x is attached below.

Examples:

Calculate the distance in 1 second

put x = 1 in the equation

y = 15(1) = 15 meters

Calculate the distance in 10 second

put x = 10 in the equation

y = 15(10) = 150 meters

7 0
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The price of an article with 15% VAT is Rs 920. What will be the excluding VAT?<br>Ans:800​
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Answer:

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Step-by-step explanation:

3 0
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Simita has 25 coins, consisting of 10c and 5c, which total $2.25. how many of each does she have?​
Ilya [14]

Answer:

10c = 20

5c = 5

Step-by-step explanation:

Let x be the number of 10c coins; let y be the number of 5c coins. The total is $2.25, so the amount of 10c and 5c coins will add to that. Simita has 25 coins, so x and y, the number of coins, will have to add to 25. Hence, solve the simultaneous equation.

10x + 5y = 225 (1) - times by 0

x + y = 25 (2) - times by 5

10x + 5y = 225 (1)

5x + 5y = 125 (2)

Then, take equation 2 away from equation 1.

5x = 100

x = 20

Substitute x back into the original equation.

x + y = 25

20 + y = 25

y = 5

7 0
3 years ago
Find cos(ZA).<br> Choose 1 answer:
lbvjy [14]

Answer: option A. 24 / 25

Step-by-step explanation:

Cos (Z) = Adj / Hypo

Cos (Z) = 24 / 25

3 0
3 years ago
If the scale factor of Figure A to Figure B is<br> 7:2, find the perimeter of Figure A.
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Answer:

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