Answer:
140
Step-by-step explanation:
I think you mean "lowest common denominator" where you use the word "benchmark."
The LCD of 3/7 and 16/20 is 140; 140 is the smallest number evenly divisible by both 7 and 20.
Then 3/7 → 60/140 and 16/20 → 112/140. 112/140 is between 1/2 and 1.
Answer:
Electrician A- $40*$20h
Electrician B- $50*$19h
Step-by-step explanation:
Answer:

Step-by-step explanation:
Find two numbers whose quotient is -1 and the subtraction of the first minus the second is -3/2
Let two numbers are x and y. When they are divided the quotient is -1. So,

It can also be written as :
x = -y ....(1)
The subtraction of first minus the second is -3/2
.

Use equation (1) in (2),

From equation (1) : 
Hence, two numbers are
.
Answer:
Step-by-step explanation:
x - represents 1 point shots
(54 - x) - represents 2 point shots
x + 2(54 - x) = 89
x + 108 - 2x = 89
-x + 108 = 89
x = 19 (1 point shots)
54-x = 35 ( 2 point shots)
Test:
19 + 35 = 54 (total shots)
19 x 1 = 19
35 x 2 = 70
70 + 19 = 89 points
Answer:
1. distributive
2. associative
Step-by-step explanation:
In the first one, they are distributing 16 + 23 by the 4.
Therefore it is distributive property as they are splitting and then separately multiplying.
In the second one, the parentheses are shifted. The shifting of parentheses indicates priority, and the associative property says in addition you can choose what you'd like to do first and it won't change the answer.