Answer:
11.34x + 9.45y = 141.75
y = (141.75 - 11.34x)/9.45
y = -1.2x + 15
Draw a straight line only in the first quadrant connecting these points:
(0,15)
(12.5,0)
Answer:
Time in which both companies charge same cost = 1.5 hour
Step-by-step explanation:
Given:
Fixed Variable
Premier Landscaping charges $15 $55
Ace Landscaping charges $65
Find:
Time in which both companies charge same cost:
Computation:
Assume in X time both companies charge same cost:
So,
Premier Landscaping total cost = Ace Landscaping total cost
⇒ $15 + $55(Time taken) = $65 (Time taken)
⇒ $15 = $65 (Time taken) - $55(Time taken)
⇒ $15 = $10 (Time taken)
⇒ Time taken = 1.5 hour
Time in which both companies charge same cost = 1.5 hour
The first thing we must do for this case is to define variables:
x: the total mass of the chemical in the container
y: a sample of a chemical from a container
We have the following equation:
y = (3/10) x - 5 3/4
Then, for y = 39.1 we have:
39.1 = (3/10) x - 5 3/4
Clearing x:
(3/10) x = 39.1 + 5 3/4
(3/10) x = 44.85
x = (10/3) * (44.85)
x = 149.5 grams
Answer:
the total mass in grams of the chemical in the container before the scientist removed the sample of 39.1 grams was:
x = 149.5 grams.
Since x is our unknown number, on one side of our equation we will have the "<span>Subtracting two times a number from 10", and on the other will be -3. So,
-3=10-2x</span>
