Answer: C
Work:
1) Change the Mixed number into an improper fraction
3 x 8 = 24
1+24 = 25/3
2) Get both fractions on equal terms. Find the Greatest Common Denominator. In this case, it’s 24. Multiply by what you need to get 24. 8x3=24 and 12x2=24
3) Multiply Accordingly
25/8 x 3 = 75/24
7/12 x 2 = 14/24
4) Subtract and change back to Mixed Number
75-14 = 61
61/24 = 2 13/24
15/10 = 18-x/x is the ratio of the larger to the smaller triangle
Cross multiply:
15x = 10(18 - x)
15x = 180 - 10x
25x = 180
x = 7.2
Plug back in to check
15/10 = 1.5
18-7.2/7.2 = 10.8/7.2 = 1.5 :)
a. Answer: D: (∞, ∞)
R: (-∞, ∞)
<u>Step-by-step explanation:</u>
Theoretical domain is the domain of the equation (without an understanding of what the x-variable represents).
Theoretical range is the range of the equation given the domain.
c(p) = 25p
There are no restrictions on the p so the theoretical domain is All Real Numbers.
Multiplying 25 by All Real Numbers results in the range being All Real Numbers.
a) D: (∞, ∞)
R: (-∞, ∞)
*********************************************************************************
b. Answer: D: (0, 200)
R: (0, 5000)
<u>Step-by-step explanation:</u>
Practical domain is the domain of the equation WITH an understanding of what the x-variable represents.
Practical range is the range of the equation given the practical values of the domain.
The problem states that p represents the number of cups. Since we can't have a negative amount of cups, p ≥ 0. The problem also states that Bonnie will purchase a maximum of 200 cups. So, 0 ≤ p ≤ 200
The range is 25p → (25)0 ≤ (25)p ≤ (25)200
→ 0 ≤ 25p ≤ 5000
b) D: (0, 200)
R: (0, 5000)
#'s 9-14
Base info: 40% are red, 30% are white, 20% are blue, and 10% are green
9) 40% chance to get red, 10% chance to get green. 50% chance to get one of either.
10) getting red: 40%
Getting blue: 20%
11) 80% (100% - 20% = 80%)
1/8 = 12.5%
12) 12.5% chance
13) 25% chance
14) 12.5 x 5 = 62.5
62.5% chance
