Multiply first example by 3 and subtract by second example, you will get the following:
3*(5x + 2y) = 3*22 => 3*5x + 3*2y = 66 => 15x + 6y = 66
now subtraction:
(15x + 6y) - (-2x + 6y) = 66 - 3
15x + 6y + 2x - 6y = 63
15x + 2x + 6y - 6y = 63
17x = 63
x = 63/17 ≈ 3.705..... and as it says to round to the nearest tenth our answer would be: x = 3.7
Each piece = (4/5) yards
(4/5) yards * 3 feet = 2.4 feet each piece
which equals 2 feet 4.8 inches each
Answer: y = -3x-3 (Choose values for x)
Step-by-step explanation:
1st change the equation to y = mx+b form
In order to change the equation to y = mx+b form subtract the 3x to both sides.
The equation now becomes y = -3x-3
2nd we can either choose values for x such has (-2,-1,0,1,2) and plug in those values into our equation y = -3x-3
For example, if we plug in x= -2 we get y= -3(-2)-3 which becomes y =3. We then plot the point (-2,3) because -2 is our x coordinate and 3 is our y coordinate.
Or we can plug the equation into a calculator that will graph the equation for you.
Answer:
a) 4/7 L = 0.57 L
b) 25/7 L = 3.57 L
Step-by-step explanation:
The ratio of orange juice to ginger ale is 2:5.
Add 2 + 5 = 7.
The ratio of orange juice to ginger ale to total drink is 2:5:7.
a) The fraction of orange juice is 2/7 of the total drink.
To make 2 L, you will need 2/7 of 2 L to be orange juice.
2/7 * 2 L = 4/7 L = 0.57 L
b) The fraction of ginger ale is 5/7 of the total drink.
5/7 * 5 L = 25/7 L = 3.57 L
