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babymother [125]
3 years ago
13

Write a system of equations to describe the situation below, solve using any method, and fill

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
5 0

In 14 hours, the bakery's total expenses and receipts will both equal $448.

<h3>Definition of profit </h3>

Profit is total revenue less total cost.  Total revenue is average receipts multiplied by total hours. Total cost is the average hourly operating costs multiplied by total hours.

Profit = total revenue - total cost

<h3>Determining total hours </h3>

The equation that would be used to determine the total hours when the amount used to buy the new equipment would be recovered is: $45h - $13h = $448

$32h = $448

h = $448 / $32

h = 14 hours

<h3>Total expenses and total receipts</h3>

Total expenses = $13 x 14 = $182

Total receipts = $45 x 14 = $630.

To learn more about profit, please check: brainly.com/question/3018696

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3. What % of 100 is 13?
Sedbober [7]

Answer:

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 13 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 13 is 100%, so we can write it down as 13=100%.

4. We know, that x is 100% of the output value, so we can write it down as x=100%.

5. Now we have two simple equations:

1) 13=100%

2) x=100%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

13/x=100%/100%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 100% of 13

13/x=100/100

(13/x)*x=(100/100)*x       - we multiply both sides of the equation by x

13=1*x       - we divide both sides of the equation by (1) to get x

13/1=x

13=x

x=13

now we have:

100% of 13=13

Step-by-step explanation:

Have A Wonderful Day !!

5 0
3 years ago
Can someone solve this math problem for me
Alex

Answer:

2x+60=4x-12

60+12=4x-2x

72=2x

x=72/2

x=36.. ans

Step-by-step explanation:

hope this help you

3 0
3 years ago
The Louvre is an art museum in Paris. A glass square base pyramid sits in front of the entrance to the museum. If the pyramid is
Sveta_85 [38]

Answer:

lateral area = 2320 m²

Step-by-step explanation:

The question wants us to calculate the lateral area of a square base pyramid. The square base pyramid has a side of 40 meters.The height is 21 meters.

Half of the square base is 40/2 =  20 meters . With the height it forms a right angle triangle. The hypotenuse side is the slant height of the pyramid.

Using Pythagoras's theorem

c² = a² + b²

c² = 20² + 21²

c² = 400 + 441

c² = 841

square root both sides

c = √841

c = 29 meters

The slant height of the pyramid is 29 meters.

The pyramid has four sided triangle. The lateral area is 4 multiply by the area of one triangle.

area of triangle = 1/2 × base × height

base = 40 meters

height = 29 meters

area = 1/2 × 40 × 29

area = 580

area of one triangle = 580 m²

Lateral area = 4(580)

lateral area = 2320 m²

5 0
3 years ago
Please help will mark branlist!!
insens350 [35]

Answer:

x=9

Step-by-step explanation:

Looking at the diagram, we see that four angles are formed by the intersection of two lines. The angles highlighted in blue and green are therefore, vertical angles. We know that vertical angles have equal angle measures meaning that in this case, the measure of the blue angle is equal to the measure of the green angle. Using this, we can now solve for x:

7x+49=2x+94

7x-2x=94-49

5x=45

x=45/5

x=9

8 0
4 years ago
Jon invests $4,100 into an account that pays 5 percent simple interest each year.what is the total balance in the account after
AlladinOne [14]
% Interest = 5%
 Principal Amount = $4100
Period Of Pay = 3 yrs

Interest Amount
5/100 × 4100 × 3 
  =615

Amount After Interest
4100 + 615 = 4715

Answer = 4715
7 0
4 years ago
Read 2 more answers
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