Answer:
c 35%
Step-by-step explanation:
2 green,5 yellow, 6 red,and 7 blue marbles
2+5+6+7 = 20 marbles
P(blue) = blue marbles / total marbles
= 7/20
= 35/100
=35%
We will use the Pythagorean theorem:
H² = S² - R²
H² = 5² - 3² = 25 - 9 = 16
H = √16
H = 4
The volume:
V = ( π R² H ) / 3 = ( 3² · 4 ) π / 3 = 12 π ≈ 37.68
Answer:
Solution: 
, 
Step-by-step explanation:
<u>System of Equations</u>
Solve the system:
x + 4y = 14
3x - 2y = 7
using the elimintation method.
To use the elimination method, we must add or subtract both equations in such a way that one of the variables goes away, and only one remains.
It requires to multiply one of them by a specific factor to match the coefficients. For example, multiply the first equation by -3:
-3x - 12y = -42
And add it to the second:
3x - 2y = 7
To result:
-14y = -35
Divide by -14:
Simplifying:
Now calculate x:
Solution: ,
Answer:
D. 108 liters
Step-by-step explanation:
Given that the leak is ;
5 drops = 5 minutes
?= 4 weeks
Find number of hours in 4 weeks
1 week=7days
4 weeks=?--------------cross multiply
4×7=28 days
1 day=24 hours
28 days=?--------------cross multiply
28×24=672 hours
Hour= 60 minutes
672 hours=?
672×60=40320 minutes
Finding the leakage in 4 weeks
80 drops= 5 minutes
?=40320 minutes------------cross multiplication
(40320×80)÷5 =645120 drops
Finding the liters of water wasted in 4 weeks
60 drops of water= 10 milliliters
645120 drops of water=?-------------cross multiply
(645120×10)÷60 =107520 milliliters
But you know
1 milliliter=0.001 liters
107520 milliliters=?-----------cross multiply
107520×0.001
=107.52 liters
=108 liters
