Using a system of equations, it is found that Debbie worked 45 hours during the week.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
- Variable x: Amount of hours worked by Juan.
- Variable y: Amount of hours worked by Debbie.
Juan and Debbie each earn 9 per hour at their "jobs", and earned a total of 765 for the week, hence:
9x + 9y = 765
Simplifying the expression by 9:
x + y = 85 -> x = 85 - y.
Debbie worked five hours more than juan during the week, hence:
y = x + 5.
Since x = 85 - y, we replace in the expression:
y = 85 - y + 5.
2y = 90.
y = 45.
Debbie worked 45 hours during the week.
More can be learned about a system of equations at brainly.com/question/24342899
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Answer:
1/8
Step-by-step explanation:
Answer:
h(x) = 1/4x
Step-by-step explanation:
To find the inverse, first we rewrite the function using y instead of f(x):
y = 4x
Next we switch x and y:
x = 4y
Solve for y by dividing both sides by 4:
x/4 = 4y/4
x/4 = y
1/4x = y
Answer:
The other angle would be equal to 133 degrees.
Step-by-step explanation:
All linear pairs are supplementary angles, which means that they are equal to 180. So we can find the second angle by using the following angle.
47 + x = 180
x = 133
Answer:
The value of x is 47°
and the value of y is 100°
