1) The sum of 2 prime numbers is ALWAYS even, so if x and y are prime number,. then (x+y)/7 = z². In this case either x = 2 or y = 5 (or vice vera). This is the only possibility to be divisible by 7 . Then (5+2)/7 = 1² = 1
2) 5 pipes → 2 hours → 2 pools
then 1 pipe takes (5x2) 10 hours to fill 2 pools
or 1 pipe takes (10/2) 5 hours to fill 1 pool
3) It's 6/30 = 0.2 or 20%
4) 35% represent 7 Students, 100% of the class represent x students:
35%/7 = 100%/x
0.35/7 = 1/x (Cross multiplication) →0.35x = 7 and x = 7/0.35 → x = 20 students
5) Let K be the age of Katie and B her brother's
K + 2 = B OR K = x - 2 (Today)
In 12 years (B+12), B will be twice K (remember K = B-2) →
B+12 = 2(K) OR B+12 = 2(B-2)
B+12 = 2(B-2) →
B+12 = 2B - 4→
12 + 4 = B and B = 16. If the brother is 16, then Kate is 14
:
Slope-intercept form gives is

where

is the slope of the line and

is the y-intercept.
You can see that in slope-intercept form the

term is alone. In order to convert

into slope intercept form, you must isolate the y term.
First we'll subtract 9x from each side.

Now we can divide both sides by -7.

Now we can simplify it.
You would get 0.264957264957265 nearest thousandth get you to 0.265.
Answer:
17.9
Step-by-step explanation:
In 17.899 the tenth is .8 and because nine is greater than 5 the 8 becomes a 9
So in the end it looks like 17.9
Hope that helps and have a great day!
X + 2 1/2 - 3/4 = 5 1/4 To find x, go backwards in the equation.
5 1/4 + 3/4 = 6 cups
6 - 2 1/2 = 3 1/2 cups
x = 3 1/2 cups