Answer:
Orange = 12
Grape = 15
Cola = 23
Step-by-step explanation:
Turning this into equations you can give each soda a variable
Cola = C | Grape = G | Orange = R
Then you get:
8 + G = C
R + 3 = G
C + G + R = 50
We want to get a variable all by itself in an equation so first I'm going to put the second equation (R + 3 = G) in the first (8 + G = C) by replacing the G to get
8 + (R + 3) = C Combine the variables 11 + R = C and put that new equation into the last equation
(11 + R) + G + R = 50
Now plug our original second equation (R + 3 = G) into our third to get
(11 + R) + (R + 3) + R = 50
Combine and get
14 + 3R = 50 Subtract over the 14
3R = 36 Divide by 3
Orange Sodas = 12
Our new 3rd Equation is now: C + G + 12 = 50, subtract over 12 to get
C + G = 38
Plug either equation 1 or 2 into that one, I'll do 1
(8 + G) + G = 38
8 + 2G = 38
2G = 30
Grape Sodas = 15
Now our 3rd equation is C + 15 = 38, subtract over 15
Cola Sodas = 23
Orange = 12
Grape = 15
Cola = 23
12 + 15 + 23 = 50
The <em>correct answer</em> is:
7/29 = 0.24.
Explanation:
We can construct a two-way table from this information.
There are 40 total students. 10 of them are athletes; this means 40-10 = 30 are not athletes.
3 of the athletes are honors students. There are 10 athletes; this means there are 10-3 = 7 athletes that are not honors students.
There are 11 honors students. This means that there are 40-11 = 29 students that are not honors students.
For this probability, we only consider the number of athletes that are not honors students (7) and the total number of students that are not honors students (29). This makes the probability 7/29 = 0.24.
Note:
If fx(x) changes from f(x₁) to f(x₂), the rate of change is
Rate = [f(x₂) - f(x₁)]/(x₂ - x₁)
From the table, we can compute rates of change as follows:
Change in x Change in f(x) Change in x Rate
----------------- -------------------- ----------------- ---------
[-4,-2] 0 - (-12) = 12 0 - (-2) = 2 6
[-2, 1] 3 - 0 = 3 1 - (-2) = 3 1
[-3, 1] 3 - (-5) = 8 1 - (-3) = 4 2
[-4, 0] 4 - (-12) = 16 0 - (-4) = 4 4
We have the following expression:
log8 (3 ^ root (1/64))
Rewriting the expression we have:
log8 (1/4)
The equivalent expression for logarithm properties is:
log8 (1/4) = - 2/3
Answer:
The answer for this case is given by:
-2/3
option C