Okay. I am guessing that you are asking for the amount of water poured per minute. The bathtub already holds 12 gallons and 32 - 12 is 20. The tub is full in 5 minutes. Let’s divide. 20/5 is 4. There are 4 gallons of water filled in the tub per minute.
Answer:
-3/2
Step-by-step explanation:
Use formula (y2 - y1)/(x2 - x1)
Take points (-8, 4) and (-6, 1)
Use the formula:
y2 = 1
y1 = 4
x2 = -6
x1 = -8
(1 - 4)/(-6 - (-8))
= -3/(-6 + 8)
= -3/2
Answer: 8.99mL
Step-by-step explanation:
Since each bottle has 4.56mL, 2.31mL and 2.12mL,
Total lotion= 4.56 + 2.31 + 2.12
= 8.99mL
Answer:
4 sqrt(5)
-----------------
5
83 +12 sqrt(35)
Step-by-step explanation:
1. 4 sqrt(6)
--------------------
sqrt(30)
Multiply the top and bottom by sqrt(30) to rationalize the denominator
4 sqrt(6) *sqrt(30)
--------------------
sqrt(30)*sqrt(30)
4 sqrt(180)
--------------------
30
Simplify
2 sqrt(36 *5)
--------------------
15
We know that sqrt(ab) = sqrt(a) sqrt(b)
2 sqrt(36)sqrt(5)
--------------------------
15
2 *6*sqrt(5)
-------------------
15
Simplify
2 * 2 sqrt(5)
---------------------
5
4 sqrt(5)
-----------------
5
2. (2 sqrt(5) + 3 sqrt(7))^2
(2 sqrt(5) + 3 sqrt(7)) (2 sqrt(5) + 3 sqrt(7))
FOIL
first 2sqrt(5)*2sqrt(5)=4*5=20
outer 2 sqrt(5) * 3 sqrt(7) = 6 sqrt(35)
inner 3 sqrt(7) *2 sqrt(5) = 6 sqrt(35)
last 3sqrt(7) 3sqrt(7) = 9*7 = 63
Add them together = 20 + 6 sqrt(35)+ 6 sqrt(35) +63 = 83 +12 sqrt(35)