The system of equations is:
x = 2y
x*$10 + y*8 = $84
Solving it, we see that he worked 3 hours landscaping and 6 hours washing cars.
<h3>
How to write the system of equations?</h3>
First, we need to define the variables:
- x = number of hours washing cars.
- y = number of hours landscaping.
We know that Alexander worked twice as many hours washing cars as he worked hours landscaping, then:
x = 2y
We also know that he earned a total of $84, then:
x*$10 + y*8 = $84
So the system of equations is:
x = 2y
x*$10 + y*8 = $84
To solve it, we just replace the first equation into the second one:
(2y)*$10 + y*8 = $84
y*$28 = $84
y = $84/$28 = 3
So He worked 3 hours landscaping, and:
x = 2*y = 2*3 = 6
6 hours washing cars.
If you want to learn more about systems of equations:
brainly.com/question/13729904
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The number that is its own opposite is zero.
Answer:
Mean-17
Median-3
Mode-3
Range-47
Greatest Value-47
Least Value-0
Step-by-step explanation:
Mean= Add every number up then divide by how many numbers there are
Median= It has an even number in total when ordered from least to greatest. So take the two middle numbers together and divide them by 2.
Mode= The number that occurs more often
Range= The difference between the highest and the lowest number.
47-0=47
Greatest and lowest value= the highest and lowest number in a data set.
Move all terms to one side
4w^2 + 49 + 28w = 0
Rewrite 4w^2 + 49 + 28w in the form a^2 + 2ab + b^2, where a = 2w and b = 7
(2w)^2 + 2(2w)(7) + 7^2 = 0
Use the Square of Sum: (a + b)^2 = a^2 + 2ab + b^2
(2w + 7)^2 = 0
Take the square root of both sides
3w + 7 = 0
Subtract 7 from both sides
2w = -7
Divide both sides by 2
<u>w = -7/2</u>
