Answer:
m = 0.75
Step-by-step explanation:
16 x 2m = 4x8 - 8
32m = 24
m = 24/32
for 2a, use the theorems of geometry and such to look at the area of the square as 16 squares total, then use the lengths and Sim/cos rule for the triangular area, then subtract and you have you shaded area.
Oldest = 2 times Youngest -> O = 2*Y
Middle = Youngest + 5 -> M = Y+5
All of them together is 57 -> O + M + Y = 57
So you have these three equations:
(1) O = 2*Y
(2) M = Y+5
(3) O + M + Y = 57
Now you want to reduce the number of variables. You can change the second equation to be Y = M-5 and then plug in "M-5" wherever there is currently a Y:
(4) O = 2*(M-5) = 2*M - 10
(5) O + M + (M-5) = 57
which becomes O + 2M = 62
Then you plug in the "O" equation (4) into (5) which gives you
(2M-10) + 2M = 62 which reduces to 4M = 72.
So now I know M is 18.
I can now plug that into my other equations:
(4) O = 2*18 - 10 which means O = 26.
Now I plug that into (1) from the top:
26 = 2*Y which becomes 13 = Y
So now I have O, Y, and M
Oldest is 26
Middle is 18
Youngest is 13
Reading the sentence again, you can see that this makes sense.
Answer:
-10%
Step-by-step explanation:
price elasticity of demand = % change in demand / % change in price
Here, the "price" changes from 15 to 45, so its percent change is ...
((new value)/(old value) -1) × 100%
= (45/15 -1) × 100%
= 200%
The % change in demand is given as -20%, so the price elasticity is ...
price elasticity of demand = (-20%)/(200%) = -0.10 = -10%
1 cup = 8 fl oz.
So then we can set up a ratio of
So we get:
We cross multiply and we try to solve for x, so:
And the fl. oz. cancel out, and we are left with:
<u>So 22 fl. oz. equals to 2 3/4 cups.</u>
