If x + y = 6, then solve for y to get: y = 6 - x.
Now replace y with 6 - x in both equations.
(5x)/3 + 6 - x = c
2(6 - x) = c - 4x
The upper equation is solved for c.
Now we solve the lower equation for c.
c = 2(6 - x) + 4x
c = 12 - 2x + 4x
c = 2x + 12
Since we have two equations solved for c, we substitute to get
(5x)/3 + 6 - x = 2x + 12
This is an equation in only x, so we can solve for x.
(5x)/3 - 3x = 6
5x - 9x = 18
-4x = 18
x = -9/2
Now we solve for y.
x + y = 6
-9/2 + y = 6
y = 9/2 + 12/2
y = 21/2
Now we solve for c.
c = (5x)/3 + y
c = (5 * (-9/2))/3 + 21/2
c = -45/6 + 21/2
c = -15/2 + 21/2
c = 6/2
c = 3
Answer: c = 3
Answer:
Step-by-step explanatinon:
percent is per hundred
4 dimes is 40 cents or $0.40 or 40/100 of a dollar which is40%
1 nickel and 3 pennies or 8 cents or $0.08 Or 8/100 or 8%
5 quarters and one dime is 135/100 or $1.35 or 135/100 which is 135%
5d=470:
in this case we have to divide both sides by 5:
d=94
8a=47:
in this case we have to divide both sides by 8:
a=5.875
as a general rule, if you want to find out a value of a in
ab=c
you have to divide both sides of the equation by b (if it's not zero); then you will have left:
a=c/b
and if you calculate c/b, this will give you the answer
Answer:
D. 14°
Step-by-step explanation:
The Law of Sines tells you sides are in proportion to the sine of the opposite angle:
sin(A)/BC = sin(B)/AC
sin(A) = BC/AC·sin(B)
A = arcsin(BC/AC·sin(B)) = arcsin(7/28·sin(75°)) ≈ 13.974° ≈ 14°
