Answer:
D. 24 ft
Step-by-step explanation:
The slope of 1/3 means the rise is 1/3 the run for each half of the span. The rise is shown as 4 ft, so the half-span is 3·4 ft = 12 ft.
The span of the roof is 24 ft.
Answer:
55% or 0.55(as a decimal)
Step-by-step explanation:
40% of their clients buy auto insurance policies = P(A)
30% of their clients buy home insurance policies = P(H)
15% of their clients buy both home and auto insurance policies = P( A ∩ H)
The probability a randomly selected client buys a home or auto insurance policy = P (A ∪ H) is calculated as
P ( A ∪ H) = P(A ) + P ( H ) - P( A ∩ H)
= 40% + 30% - 15 %
= 70% - 15%
= 55%
Therefore, the probability that a randomly selected client buys a home or auto insurance policy is 55% or expressed as decimal = 0.55
Given the equation:

(a) You can identify that the student applied the Subtraction Property of Equality by subtraction 3 from both sides of the equation:

However, the student made a mistake when adding the numbers on the right side.
Since you have two numbers with the same sign on the right side of the equation, you must add them, not subtract them and use the same sign in the result. Then, the steps to add them are:
- Add their Absolute values (their values without the negative sign).
- Write the sum with the negative sign.
Then:

(b) The correct procedure is:
1. Apply the Subtraction Property of Equality by subtracting 3 from both sides (as you did in the previous part):

2. Apply the Multiplication Property of Equality by multiplying both sides of the equation by 6:

Hence, the answers are:
(a) The student made a mistake by adding the numbers -18 and -3:

(b) The value of "x" should be:
Answer:
1 1/8 or 9/8
Step-by-step explanation:
Set up a proportion. The proportion will be teaspoons of chili powder over pound of vegetables.
The first proportion will be..
x is 3/4 and y is 1/2. Across from that proportion make another one
x is "n" because you're trying to figure out how much chili powder you need. y is 1 3/4.
Multiply 3/4 and 1 3/4, which is 9/16. Then, divide 9/16 and 1/2, which is 9/8. Simplify it to 1 1/8, and Maxwell will need 1 1/8 teaspoons of chili powder.
Hope this wasn't too confusing :)