The ratio of the number of cups of apple juice to lemon-lime soda is 6:1.
If there is a point on the graph at (1, 6), where the x-coordinate the number of cups of lemon-lime soda and y-coordinate is the number of cups of apple juice, you can deduce the ratio (6 cups of apple juice for 1 cup of lemon-lime soda).
As you imagine on the graph, this pattern continues, with 2 cups of lemon-lime soda for 12 cups of apple juice, that simplifies to 1 cup of lemon-lime soda for 6 cups of apple juice. Since the question asks for the ratio of apple juice to lemon-lime soda, you just reverse the values and get 6:1
Answer:
D is our choice
Step-by-step explanation:
For the money part we get
4x+6y ≤55
For the gallons we get
x+y ≥9
I will use elimination so multiply the second equation by -4
Remember when multiplying by a negative, the inequality flips
-4x -4y ≤-36
Add the first equation and the last equation together to eliminate x
4x+6y ≤55
-4x -4y ≤-36
----------------------
2y ≤19
Divide by 2
2y/2 ≤19/2
y ≤9.5
Now we need to find x
x+y ≥9
Substitute y in
x+9.5 ≥9
Subtract 9.5 from each side
x+9.5-9.5 ≥9-9.5
x ≥-.5
Also 4x+6y ≤55
Let y=0
4x ≤55
Divide by 4
4x/4 ≤55/4
x ≤13.76
Two things
We cannot buy parts of a gallon so y ≤9, x<13
and x and y cannot be negative ( no selling drinks we are buying them) so x ≥0 ,y ≤0
0 ≤y≤9
0 ≤x≤13
Which points fits these requirements
A and C have y >9 so they are eliminated
B has y as negative so it is eliminated
D is our choice
62 percent of 80 is more
Step-by-step explanation:
the 62 percent of 80 comes out to 49.6 people and the other one comes out to 42 people
i dont know how to explain how to do it
Answer: For part I, the probability is 36.69% that the average weight will be less than 234.
To find the percents for each one, you need to find the z-score and use a normal distribution table. A z-score is the number of standard deviations above or below the mean.
For 234, the z-score would be: (234 - 245.7) / 34.5 = -0.34 which corresponds to a percent of 36.69%.
For that last 2 parts, you follow the same plan. However, you will find two different percents. You will have to subtract them to find the percent between them.
For Part II, you should get 6.85%
For Part III, you should get 10.37%.
M(CXA) = m(BXA) + m(CXB)
= 30°20' + 40°35'
m(CXA) = 70°55'