16/22=24/x
x=33
then subtract
33-22=11
11 galons should be taken out
Answer:
A. $3.59
Step-by-step explanation:
Okay so wrapping paper 4.99 she got three. So we would take 4.99 and subtract 80%. We would get 0.998. We multiply this by three because that's how many she got. After multiplying it's 2.994, rounded just 2.99. She payed 2.99 for wrapping paper. Now with the candy canes, we take 2.99 and subtract 80%. 0.59. Added we get 3.58, and we can go ahead and round that up to $3.59. Before tax she payed $3.59.
Transmission must be in third gear as both are running at the same speed ! so third gear !!!
Answer:
Step-by-step explanation:
a) Pythagorean theorem,
altitude² + base² = hypotenuse²
h² + (w² - 1)² = (w² + 1)²
h² = (w² + 1)² - (w² - 1)²
{Compare with (a + b)² - (a -b)² = 4ab where a =w² & b = 1}
h² = 4*w²*1
h² = 4w²
![h=\sqrt{4w^{2}} = \sqrt{2*2*w*w} \\\\\\h = 2w](https://tex.z-dn.net/?f=h%3D%5Csqrt%7B4w%5E%7B2%7D%7D%20%3D%20%5Csqrt%7B2%2A2%2Aw%2Aw%7D%20%5C%5C%5C%5C%5C%5Ch%20%3D%202w)
b) Area of triangle = ![\frac{1}{2}b*h](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Db%2Ah)
![=\dfrac{1}{2}*(w^{2}-1) *2w\\\\= (w^{2}-1)*w = w^{2}*w - 1*w\\\\=w^{3}-w](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B1%7D%7B2%7D%2A%28w%5E%7B2%7D-1%29%20%2A2w%5C%5C%5C%5C%3D%20%28w%5E%7B2%7D-1%29%2Aw%20%3D%20w%5E%7B2%7D%2Aw%20-%201%2Aw%5C%5C%5C%5C%3Dw%5E%7B3%7D-w)
c) w =2
Area of triangle = 3w = 3*2 = 6
Y=mx+b
slope=m
yint=b
we are given
slope=-2/3
point=(-3,-1)
y=-2/3x+b
input point -3,-
x=-3
y=-1
find b
-1=-2/3(-3)+b
-1=2+b
minus 3
-3=b
y=-2/3x-3
answer is D