Answer:
D
Step-by-step explanation:
If two lines are perpendicular, the products of their slopes will be -1. Therefore, we're looking for a line with slope of -1/2. Let's check each answer:
A: 5 - 3 / (-2 - 3) = 2 / -5
B: 6 - 5 / 6 - 5 = 1
C: 5 - 3 / 4 - 3 = 2
D: 4 - 3 / 3 - 5 = -1/2
The answer is D.
3/4 times 7/9:
First, we must use the rule for multiplying fraction. The rule is: a/b times c/d = ac/ bd. Let's substitute our problem into that formation.

Second, we can now simplify. (3 times 7 = 21) and (4 times 9 = 36).

Third, since our fraction is not in the simplest form, we can simplify it down by listing the factors of both the numerator and denominator and then finding the greatest common factor (GCF).
Factors of 21: 1, 3, 7, 21
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
The GCF is 3, since only 1 and 3 were the common factors and since 3 is the greatest common factor.
Fourth, now we can divide our numerator (21) and denominator (36) by our recently found GCF which was 3.

Our new fraction in its simplest form is 7/12.
Answer in fraction form:

Answer in decimal form:
To find the answer you would add 27 and 8 together which would give you 35. Once you've done that, you would subtract 32 from 35 which would give you 3 meaning that there will be 3 pallets left over as your answer.
Answer:
$3840
Step-by-step explanation:
The total cost is ...
(6 hr)(cost per hr) +(120 persons)(food cost per person)
= 6($190) +120($15 +7.50)
= $3840
The booking at Hotel 3 would cost $3840.