Hello there!
First, we need to admit that math is a hard subject. So, how do we handle hard stuff? We find an easy way. Right?
Well same goes here. They give the fractions to drive us crazy. Let's find the easiest way...
The easiest way is to turn them into decimals.
1 3/7 = 1.42 which is the amount of pages he reads
2/3 = 0.67 minute.
The are asking us how many pages does he reads per minute.
So we gonna say:
Charlie reads 1.42 pages ......> 0.67
Charlie reads x pages.............> 1minute
Cross multiply
0.67 * x = 1 * 1.42
0.67x = 1.42
x = 1.42/0.67
x = 2.11
So, Charlie reads 2.11 pages in 1 minute.
I hope this helps. Please let me know if you have questions about the answer.
Thanks!
We have two congruent trapezoids.
The formula of an area of a trapezoid:

We have:

Substitute:

Answer:

Step-by-step explanation:
step 1. 12x - 15 - 12x = 7x + 20
step 2. 12x - 12x - 15 = 7x + 20 (grouping of terms)
step 3. -15 = 7x + 20 (adding like terms)
step 4. -35 = 7x (subtract 20 from both sides)
step 5. this step is incorrect.
step 6. -5 = x ( divide both sides by 7)
step 7. x = -5 (put the variable first).
X cannot be 6 or -2/5 because if they were the denominator would be zero
Answer:
17/5
Step-by-step explanation:
23=5x+6
23-6=5x
17=5x
X=17/5