Answer:
0.02 (the first option)
Step-by-step explanation:
This is because a proportion means there is division going on. If 5 out of the 250 students have red hair, this creates a fraction of
and when you divide this out: 5 ÷ 250, you get 0.02
The area formula for a rectangle is A = L*W. We have the area as 3197, now we just have to find a way to directly relate the length to the width with only one unknown, since we can't have 2 unknowns. The problem tells us that the length is 22 in. less than 7xW. That will be expressed as L=7W-22, and width is just W. Filling in we have 3197=W(7W-22). Distributing through the parenthesis we have
![3197=7W^2-22W](https://tex.z-dn.net/?f=3197%3D7W%5E2-22W)
. Since we have to solve for x and the only way we can do that is by factoring, we will move the 3197 over to the other side by subtraction and then factor the quadratic.
![7W^2-22W-3197=0](https://tex.z-dn.net/?f=7W%5E2-22W-3197%3D0)
. I recommend putting that into the quadratic formula, and when you do you get W values of 23 and -19.857 The only 2 things in math that will never EVER be negative are time and distance/length. And since one of our lengths there is negative we know that that is not the one we will use. Therefore, the width is 23. The length then is L=7(23)-22 which is 139
Answer:
d
Step-by-step explanation:
y=tan (2(x+2)-2, I think that is it
Cross multiply to solve
(-3r)(4)=(-27)(2)
Multiply on both sides
-12r=-54
Divide both sides by -12
r=4.5
Final answer: r=4.5
Check:
-3(4.5)= -13.5
-13.5/2= -6.75
-27/4=-6.75
X-6=1/3x( solve equation)
x-1/3x=6
0.7x=6
x=6/0.7
x=8.5 ( i guess its like this)