Prime factorization for both numbers:
84 = 2*2*3*7
56= 2*2*2*7
prime factors: 2*2*7
answer: 28
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!
Answer:
(4, 3)
Step-by-step explanation:
Since the x is by itself in the first equation already, we can solve for y in the next equation and substitute for x.
(y+1)+2y=10
3y+1=10
<u>-1 -1</u>
3y=9
y=3
Next, we need to find x. To do this, we need to substitute y with 3 in one of the equations.
x=(3)+1
x=4
The ordered pair is finally (4, 3).
Hope this helps!! I literally just learned this today...have a great day ❤
The x-intercept of a function is basically it's roots. So when you factor out the function f(x) = x^2 - 16x + 64 you get
(x-8)(x-8)
x = 8
So x-int. is (0,8) or x = 8
Answer:
B and C.
Step-by-step explanation:
3*4=12,12/6 is 2. Incorrect
-3*-4=12,12/-6 is -2, Correct
-3*4=-12,-12/6 is -2. Correct
3*-4=-12,-12/-6=2. Incorrect.
