8h/3+19
Move all terms to the left
8-(h/3+19)=0
Get rid of parentheses
-h/3-19+8=0
Multiply all terms by denominator
-h-19*3+8*3=0
Add all numbers and variables together
-1h-33=0
Move all terms containing h to the left all other terms to the right
-h=33
h=33/-1
h=-33
4% of $1500 is 0.04 x 1500
= 60
So basically each month, $60 interest is saved
180 ÷ 60 is 3, so the money was in the bank for 3 months.
Step 1: Add -67y to both sides.
aq+qy+−67y=67y+93+−67y
aq+qy−67y=93
Step 2: Add -aq to both sides.
aq+qy−67y+−aq=93−aq
qy−67y=−aq+93
Step 3: Factor out variable y.
y(q−67)=−aq+93
Step 4: Divide both sides by q-67.
y(q−67)/q−67=. -aq+93/q−67
y=−aq+93/q−67
Answer:
y=−aq+93/q−67
Answer:
C
Step-by-step explanation:
Since the angles at the centre subtended by the congruent arcs WX and YZ
Then ∠YOZ = ∠WOX = 103° → C
The area of the place mat, 126 in^2, is equal to L * W, where L = 4(W/2 - 9).
We must solve this equation for the width, W.
Then 126 in^2 = W * 4(w/2 - 9). Simplifying, 126 in^2 = W(2W - 36), and
63 in^2 = W(W - 18). Then W^2 - 18W - 63 = 0. This is a quadratic equation with coefficients a = 1, b = -18 and c = -63; the discriminant is 576.
Thus, the solutions are:
-(-18) plus or minus √576
W = -----------------------------------------
2
18 plus or minus 24
= --------------------------------- = {21, -3}. Omit the negative result, since
2 W = width must be a positive quantity.
Thus, W = 21 inches.