We will call:
M=Mari
J=Jen
Initial equations:
M=2J
M+J=480
(the fact that they work 20 hours a week is not needed in this problem information)
Plug in:
2J+J=480
3J=480
J=160
Jen makes $160 a week.
Therefore:
M=2J
M=2(160)
M=320
Mari makes $320 per week
Jen makes $160 per week
2.3 meters per minute. -7 is the start of Mr. Mole’s descend and the slope is -2.3. Since it is looking for a measurement, however, it is positive.
For this case we must find the value of n of the following equation:
Taking common factor "n" from the left side of the equation we have:
Multiplying by 5 on both sides of the equation:
Dividing between 6 on both sides of the equation:
Thus, the value of n is 20.
Answer:
Answer: 4.5
<u>Step-by-step explanation:</u>
First, find the points of intersection by solving the system.
y = x² + 2x + 4
y = x + 6
Solve by substitution:
x² + 2x + 4 = x + 6 ⇒ x² + x - 2 = 0 ⇒ (x + 2)(x - 1) = 0 ⇒ x = -2, x = 1
Now, integrate from x = -2 to x = 1
<em>the bottom of the integral is -2 </em>
= 
= 
= 
= 
= 
= 
= -3 + 1.5 + 6
= 4.5
Answer:
The Probability that the spinner landed on the colors blue and green in any order = 2/9
Step-by-step explanation:
Given - Azul spun a tri-color spinner twice.
To find - What is the probability that the spinner landed on the colors blue and green in any order?
Solution -
Given that,
A tri-color spinner spun twice
So,
The Sample Space, S = {BB, BG, BY, GB, GG, GY, YB, YG, YY}
⇒n(S) = 9
Now,
Let A be an event that the spinner landed on the colors blue and green
So,
A = {BG, GB}
⇒n(A) = 2
Now,
Probability that the spinner landed on the colors blue and green in any order = n(A) ÷ n(S)
= 2 ÷ 9
∴ we get
The Probability that the spinner landed on the colors blue and green in any order = 2/9
