Answer:
$40
$32
Step-by-step explanation:
It says that both your friend's monthly allowance and your monthly allowance together is $72. To find out how much one box is worth, we need to divide $72 by 9 because there are 9 boxes. 72 ÷ 9 = 8.
We know that each box is equal to $8.00, so to find out how much your monthly allowance is, we multiply 8 by 5 because you have five squares. 8 x 5 = 40.
To find out how much money your friend's monthly allowance is, we multiply 8 by 4 because your friend has four squares. 8 x 4 = 32.
We can check our work by adding 40 and 32 together. 40 + 32 = 72. Which means that it is correct. :)
I hope that this helps!
Answer:
x = -4, y = -4
Step-by-step explanation:
Normally, if it's allowed, I would use a graphing calculator which basically turns the equations (-2x+y=4) and (y=
x-2) into two straight lines, which represent the line of possible values that can fit into the equations. However, since you want the value of x and y in both equations to be the same, you have to look for the intersection of the two graphs. I use desmos.com/calculator to just type in the equations and the lines would be drawn automatically. By hovering over the equation, I can get the two values of x and y (the first value is for x, and the second one is for y).
Here is the working if you want to work it out by hand: (I'm using algebra for this one)
-2x+y=4 -------------------------------- Equation 1
y=x-2 ---------------------------------- Equation 2
Substitute Equation 2 into Equation 1:
-2x+x-2=4
Simplify:
-1x-2=4
-1x=4+2
-1x=6
1x=-6
x=-6
3x=-6×2
3x=-12
x=-12÷3
x=-4 ------------------------------------ Equation 3
Substitute Equation 3 into Equation 1:
-2(-4)+y=4
Simplify:
8+y=4
y=4-8
y=-4
Thus, x=-4, y=-4
Answer:
18/44
Step-by-step explanation:
To turn 9/22 into something over 44, we need to figure out what to multiply it by.
44 / 22 = 2.
Multiply 9/22 by 2:
9/22 * 2 = 18/44
