Answer:
B. $8
Step-by-step explanation:
Given:
Total payment, T = $160
Hourly rates = $t/hour
= total payment/total time worked
The question said, "worked 12 more hours than the amount she is paid per hour".
Total time worked = (12 + t) hour
Therefore, Hourly rates of payment, t = 160/(12 + t)
t^2 + 12t - 160 = 0
Solving the above quadratic equation,
t = -20 and 8
t = $8
Let us assume base of the window = b feet.
Height is 3 feet less than base, that is = (b-3).
Given area of the triangle = 20 feet square.
We know formula for area of a triangle:
Area = 
× Base × Height
Plugging values in formula, we get
20 = 
Factoring quadratic, we get
=0
b+5=0
b=-5
b-8=0
b=8.
For base we can take only positive value.
<h3>Therefore, base of the triangle = 8 feet and height = 8 -3 = 5 feet.</h3>
B)7:8 is the answer because:
16 total - 7 green = 8 and so
the ratio of GREEN to RED is
7:8
7 green 8 red
For a) it would be 1:2 as it is 16:8 and simplified would make it 1:2
Answer: -1
Step-by-step explanation:
-8 (-8x - 6) = -6x - 22
distribute
64x + 48 = -6x -22
get rid of the smallest x by adding 6x to both side
70x + 48 = -22
minus 48 to both sides
70x = -70
divide both side by 70
x = -1
Answer:
0.47178 = 47.178%
Step-by-step explanation:
Put simply, this question is asking the probability of having rain atleast twice in the next 5 days. The easiest way that comes to mind is reverse count - find the probability of it not happening. There are two cases for this:
Raining only once:
This has a .7^4 * 0.3 * 5 chance
Raining no times:
This has a .7^5 chance
Adding these together you get 0.52822
This is the inverse probability, so to find the actual probability, subtract it from 1.
P = 0.47178
