Only you can do that yourself, no one online can do that for you.
As the only prime factor of denominator is
2
, in fact there are three twos (
2
×
2
×
2
) we can can convert the fraction
7
8
by multiplying numerator and denominator by
5
×
5
×
5
.
Hence,
7
8
=
7
×
5
×
5
×
5
8
×
5
×
5
×
5
=
875
1000
=
0.875
(This is always possible if only prime factors of denominator are
2
's and
5
's - just multiply by as many
5
's and
2
's).
Answer: 3 desk calender's and 3 wall calendars
Step-by-step explanation: 6 x 5 = 30 and 3 x 10 = 30
30 + 30 = 60
Answer:
Let x = amount of 45% antifreeze
Let y = amount of 70% antifreeze
EQUATION 1: x + y = 150 (total of 150 gallons mixed)
EQUATION 2: .45x + .75y = .55(x + y)
Simplify and solve the system of equations
Multiply second equation by 100 on both sides to remove the decimals
45x + 75y = 55(x + y)
Combine like terms
45x + 75y = 55x + 55y
45x - 55x + 75y - 55y = 0
-10x + 20y = 0
Now we have the following system of equations:
x + y = 150
-10x + 20y = 0
Multiply the first equation by -10 to get opposite coefficients for x; add the equations to eliminate x
10x + 10y = 1500
-10x + 20y = 0
------------------------------
30y = 1500
Solve for y
30y = 1500
y = 50
Since the total mixed gallons is 150, x = 150 - 50 = 100
So we need 100 gallons of the 45% antifreeze and 50 gallons of the 70% antifreeze
