For this case, what we are going to do is use the following property:
Multiply an equation by a scalar.
In this case, the scalar will be:
k = -2
We have then that equation 2 will be:
k * (4x + y) = k * 1
-2 * (4x + y) = - 2 * 1
-8x-2y = -2
Answer:
The property that justifies this manipulation is:
Multiply an equation by a scalar.
Answer:
It is 150.
Step-by-step explanation:
This clarifies it https://artofproblemsolving.com/wiki/index.php/2020_AMC_8_Problems/Problem_23
<u>Part a)</u> Create an equation that shows the amount of money earned, E, for working x hours in a week when there is no overtime
Let
E-------> the amount of money earned
x------> number of hours worked
we know that
For 

therefore
<u>the answer part a) is</u>

<u>Part b) </u>Create an equation that shows the amount of wages earned, T, for working y hours of overtime
Let
T-------> the amount of money earned
y------> number of hours of overtime
we know that


therefore
<u>the answer part b) is</u>

<u>Part c)</u> Allison earned $610 in 1 week. How many hours (regular plus overtime) did she work?
we know that


Divide
by
----> to obtain the hours of overtime

So
Allison works


therefore
<u>the answer part c) is</u>

Answer:
47.13
Step-by-step explanation:
15inch is the diameter so do
3.142 x 15 = 47.13