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Sidana [21]
2 years ago
11

juan and debbie each earn 9 per hour at their "jobs." Debbie worked five hours more than juan during the week. if juan and debbi

e earned a total of 765 for the week, how many hours did debbie work
Mathematics
1 answer:
Vaselesa [24]2 years ago
3 0

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

#SPJ1

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Simplify <br> -4(11+4n)-3(-2n+9)
nignag [31]

Answer:

-71-10n

Step-by-step explanation:

-4(11+4n)-3(-2n+9)

-44-16n+6n-27

-44-27-10n

-71-10n

4 0
3 years ago
Where should you place the decimal point in the product of 0.34 x 4 = 136?
oee [108]

Answer:

1.36

Step-by-step explanation:

you would move the decimal two place values to the left starting behind the 6.

Hope that help you out. :)

5 0
2 years ago
Help me please i do not understand it.
sergij07 [2.7K]
Answer:y = 2x + 4

Explanation:

1) The slope - intercept form is of the kind y = mx + b, where m is the slope and b is the y-intercept.

2) Given two points you can find the slope (using the two points) and then the equation using one of the points.

3) slope = m = Δy / Δx

points given (3,10) , (0,4)

m = [y2 - y1] / [x2 - x1] = [10 - 4] / [3 - 0] = 6 / 3 = 2

4) equation

y - y2
-------- = m
x - x2

  y - 4
---------- = 2
  x - 0

=> y - 4 = 2 (x - 0)

y - 4 = 2x

y = 2x + 4


3 0
3 years ago
A:b= 5:8 and b:c=6:25<br> Find, in its simplest form, the ratio a:b:c
Ann [662]

Answer:

a:b:c = 15:24:100.

Step-by-step explanation:

We need to make the values of b the same in both ratios so we multiply b = 6 by 4/3 to make it 8 and also multiply 25 by 4/3.

6  25 = 8 : 33.33......

So a:b:c = 5:8:33.33...

To convert to whole numbers we multiply by 3:

a:b:c = 15:24:100.

7 0
3 years ago
Find the value of X. Please help!!
harkovskaia [24]

Answer:

x = 91

Step-by-step explanation:

The opposite angles of an inscribed quadrilateral are supplementary, that is

∠ A + ∠ C = 180, thus

x + 89 = 180 ( subtract 89 from both sides )

x = 91

5 0
3 years ago
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