Givens
x + y = 3
x =6 - 4y
Solution
Use the top equation to substitute for x in the second equation.
x = 3 - y
Put this result into the second given equation and solve for y
3 - y = 6 - 4y Add 4y to both sides.
3 - y + 4y = 6 Combine on the left
3 + 3y = 6 Subtract 3 from both sides
3 - 3 + 3y = 6 - 3 Combine
3y = 3 Divide by 3
3y/3 = 3/3 Combine
y = 1
=========================
x + y = 3 but y = 1
x + 1 = 3 Subtract 1 from both sides.
x + 1 - 1 =3 - 1
x = 2
Answer
x = 2
y = 1
560 / 28 = 20....so the driver travels 20 miles per gallon
on 35 gallons......35 * 20 = 700 miles <==
or u can also do it this way...
560/28 = x / 35....560 miles to 28 gal = x miles to 35 gal
cross multiply because this is a proportion
(28)(x) = (560)(35)
28x = 19600
x = 19600/28
x = 700 miles <==
so u can either do it by finding the unit rate or by making a proportion. either way will result in the same answer.
Answer:
a
Step-by-step explanation:
Answer:
5/8
Step-by-step explanation:
if 1/8 is used for one batch . for five batch=1/8*5=5/8
Amount of the mortgage after down payment is
160,000−160,000×0.2=128,000
Now use the formula of the present value of annuity ordinary to find the yearly payment
The formula is
Pv=pmt [(1-(1+r)^(-n))÷r]
Pv present value 128000
PMT yearly payment?
R interest rate 0.085
N time 25 years
Solve the formula for PMT
PMT=pv÷[(1-(1+r)^(-n))÷r]
PMT= 128,000÷((1−(1+0.085)^(
−25))÷(0.085))
=12,507.10 ....answer
