Answer:
5 books must be read in 1 month for the total charges from each club to be equal.
Step-by-step explanation:
Monthly Charges of ABC club = 40$
Per book read charges of ABC club = 2$
amount of book read = x
Total charges of ABC club = 40 + 2x
Monthly Charges of Easy book club = 40$
Per book read charges of Easy Book club = 3$
Total charges of Easy book club = 35 + 3x
To calculate how many books must be read in 1 month for the total charges from each club to be equal,
Total charges of ABC club = Total charges of Easy book club
40 + 2x = 35 + 3x
40 - 35 = 3x -2x
5 = x
x = 5
Therefore, 5 books must be read in 1 month for the total charges from each club to be equal.
Answer:
63°
Step-by-step explanation:
Glad to help
If you will have any questions about the way I solved it,don't hesitate to ask
Answer:
C is correct if I'm doing the math right. best of luck!!
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
Answer:DE = 31 in
Explanation:The sum of angles of a triangle is 180
This means that:
measure angle D + measure angle E + measure angle F = 180
43 + 62 + measure angle F = 180
measure angle F = 75 degrees
To answer this question, we will use the sine rule (attached in the image)
In case of triangle DEF, the sine rule that we will use will be as follows:

=

We have:
measure angle D = 43 degrees
EF = 22 in
measure angle F = 75 degrees
DE is the length we want to find
Substitute in the above formula to get DE as follows:

=

DE = 31.1 which is approximately 31 in
Hope this helps :)