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brilliants [131]
2 years ago
11

Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks. Craig's Bakery re

cently spent a total of $311 on new equipment, and their average hourly operating costs are $9. Their average hourly receipts are $10. The bakery will soon make back the amount it invested in equipment. How many hours will that take? What would the total expenses and receipts both equal?
Mathematics
1 answer:
soldi70 [24.7K]2 years ago
8 0

Answer:

a. 311 hours

b. i. $3,100 in receipts  

   ii. $2,799 in expenses.

Step-by-step explanation:

a. The company is making $10 per hour and spending $9 an hour. Their profit is therefore:

= 10 - 9

= $1 per hour

Since they spent $311 on the new equipment, the amount of time it would take for them to make this back is:

= 311 / 1

= 311 hours

b. In 311 hours, the total receipts would be:

= 311 * 10

= $3,110

The expenses would be:

= 311 * 9

= $2,799

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Cerrena [4.2K]
1/4 + 1/3 is 7/12 

5/12 is left in his budget! 

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4 0
3 years ago
Find the value of c if a line with slope 3/4 passes through the points (1,8) and (5,c) PLEASE HELP
seropon [69]

The value of c, if a line with a slope of 3/4 that passes through the points (1,8) and (5,c), is 11.

<h3>What is the equation of a line?</h3>

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

Given that the line has a slope of 3/4 and passes through the point (1,8). Therefore, we need to substitute the slope and the coordinates in the equation of the line, to get the value of the y-intercept.

y = mx + c

8 = (3/4)(1) + c

8 = (3/4) + c

c = 8 - (3/4)

c = 29/4

Now, the line also passes through (5,c), therefore, if we substitute the value of slope and y-intercept in the equation,

y = mx + c

c = (3/4)(5) + (29/4)

c = (15/4) + (29/4)

c = 44/4

c = 11

Hence, the value of c, if a line with a slope of 3/4 that passes through the points (1,8) and (5,c), is 11.

Learn more about Equation of Line here:

brainly.com/question/21511618

#SPJ1

5 0
1 year ago
Need help with these dont really understand geometrey teacher teaching algebra 2 badly
jeyben [28]

Answer:

Which answer do u need help on?>

Step-by-step explanation:

6 0
2 years ago
An animal shelter spends $1.50 per day to care for each cat and $3.50 per day to care for each dog. Gianna noticed that the shel
horrorfan [7]

Answer:

2 cats were cared for

Step-by-step explanation:

c= cats

d=dogs

c+d =7

1.5c+3.5d=20.50

c+d =7

solve for d

d = 7-c

substitute into 1.5c+3.5d=20.50

1.5 c + 3.5 (7-c) = 20.50

distribute

1.5c +24.5 -3.5 c = 20.5

combine like terms

24.5 -2c =20.5

subtract 24.5 from each side

-2c = -4

divide by -2

c =2


7 0
3 years ago
Help please if you can
enot [183]

Answer: mutiply x by itself to get y

Step-by-step explanation:

6 0
3 years ago
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