Answer:
Step-by-step explanation:
Find the rate that was charged for Lara's time
rate = dollars / hour
The use this rate to calculate how many hours it took to clean Roy's house, since the rates are the same. Solve for hours.....
rate for Lara = dollars / hour = $150 / 3 hour = $50 / hour
rate for Roy = dollars / hour Solve for hours
multiply both sides by hours
(rate for Roy) (hour) = (dollars / hour) (hour)
(rate for Roy) (hour) = (hour) (dollars / hour) right side hours cancel
(rate for Roy) (hour) = (dollars) divide both sides by (rate for Roy)
(rate for Roy) (hour) / (rate for Roy) = (dollars) / (rate for Roy)
now the rate for Roy on the leftside cancel
(rate for Roy) (hour) / (rate for Roy) = (dollars) / (rate for Roy)
(hour) = (dollars) / (rate for Roy) Plug in $225 charged to Roy
and the $50 / hour rate
hour = $225 / ($50/hour) ( 1 over 1 / hour ) = hour
= $(225/50) hour think about 1 / (1/2) = 2 the same with units
hour = 4.5 hours
I'm assuming you want to simplify the expression since it's not equal to anything.. you can't solve for "a" unless it's equal to something.
factor
8a³ - 2a²+ 12a - 3
2a²(4a - 1) + 3(4a -1)
(4a - 1) is a like term that can be combined further.
(2a² + 3)(4a - 1)
Let your age be x. The expression is :
5x - 12
Answer:
See explanations below
Step-by-step explanation:
Given the system of equation
2x - 10 y = -30 ... 1
x - 5y = 20 ... 2
Step: From 2;
x = 20 + 5y ...3
Step 2: Substitute equation 3 into 1
2x - 10y = -30
2(5y+20) - 10y = -30
Open the bracket
10y + 40 - 10y = -30
10y - 10y + 40 = -30
0+40 = -30
40 = -30
The steps taken by Teri are correct all through. He didn't make any error whatsoever
The distributive law is satisfied if the numbers 1,2, and 3 are used as multyplying factors.
<h3>What is the distributive law?</h3>
This is basic mathematical law that states:
- A multiplied by (b+c) equals (a x b) + (a x c)
<h3>Is this law satisfied if there are three numbers involved?</h3>
The law is always satisfied if one of the numbers is 1. Here is an example
or
- (2x1) + (2x2) + (2x3)
- 2+4+6 = 12
Learn more about mathematical laws in: brainly.com/question/15190681
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