Factor out the common term 6m
6m(m + 2) = 0
Solve for m
<em>When will m(m + 2) equal zero?</em>
When m = 0 or m + 2 = 0
Solve each of the equations above
<u>m = 0, -2</u>
The first step to solve this question is to find out what 5/6 of 54000 is. So we multiply 5/6 by 54000. Why? Because there's the word "of" and "of" is usually associated in multiplication. So:
5/6 × 54000 = 45000.
So now we know that 5/6 of 54000 is 45000. So it means that she needs 45000 from senior citizens. But the question doesn't stop there, it also asks us to solve for the amount of votes she needs to win other than senior citizens.
Now we know that 45000 seniors need to vote for her we subtract 45000 to the total amount which is 54000.
54000 - 45000 is 9000.
So it means that she needs 9000 voters other than senior citizens to win the election for city council.
Question
<em>Emerson is making a punch that contains 60% grape juice and the rest lemon-lime soda. The punch has 2 liters of lemon-lime soda. Part A: Write an equation using one variable that can be used to find the total number of liters of grape juice and lemon-lime soda in the punch. Define the variable used in the equation and solve the equation. Hint: 0.6x represents the number of liters of grape juice in the punch. (5 points) Part B: How many liters of grape juice are present in the punch? Show your work. (5 points)</em>
Answer:
<u>5l = 0.4l(1) + 0.6l(2)</u>
<h2>
Step-By-Step-Explenation </h2>
5l = Total litres.
0.4l = 0.4 represents % of lemon-lime soda in litres.
0.6l = 0.6 represents % of grape juice in litres.
For grape juice, make L(1) = 0 and find for L(2), you will get 3L
For lemon-lime soda, make L(2) = 0 and find for L(1), you will get 2L
3L + 2L = 5L.
60% + 40% = 100%
I think this is right but i really tried.!
Hope this helps!
Usually, Δ stands for a difference: if you have two quantities a₂ and a₁, their difference a₂-a₁ can be shortened as Δa.
This said, your formula is not set up correctly: the linear speed can be found with the formula:
v = ω·r
where r is the radius and <span>ω is the angular frequency, which is given by:
</span>ω = Δα / Δt
Substituting this into the one above, you find the correct formula:
<span>v = (Δα / Δt) · r
The problem gives you directly </span>Δα, which is 1/3 rad, because does not say at what angle the point started moving and at what angle it stopped.
Similarly, for the time you have Δt, which is 20 s.
Therefore, plugging in the numbers you get:
v = (Δα / Δt) <span>· r = (1/3 </span>÷ 20) × 10 = 1/6 = 0.167 cm/s
