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Savatey [412]
1 year ago
13

Example 4

Mathematics
1 answer:
Vesnalui [34]1 year ago
7 0

Answer: Part a: b represents the base fee charged for the "house call" job

m is the hourly rate.

x is the number of hours at the job.

y represents the total cost for the job.

Part b:. The y-intercept is 65

The equation follows y=mx+b

Y= 42x + 65

Part c:. $275

Step-by-step explanation:

The difference between the two total costs, (Camilla 191 - Connor 107)

= $84. That is the rise. The run is the difference in time, 2 hours. 84/2 = 42.

m= 42

42 from 107 to find b, the base fee, 65 This is the y-intercept.

The equation is y= 42x + 65

Quick check using Camilla's bill: 191 = (42)(3) + 65

191 = 126 + 65 True!

Part C:

To find the total cost of the plumber's 5 hour job,

Y = 42(5) + 65

Y= 210 + 65

Y= $275

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You open a business selling school supplies and tutoring sessions. In your first week, you had $9,000 in sales. You ran a promot
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Answer: total net sales = $7950

Step-by-step explanation:

The formula for determining total net sales is expressed as

total net sales = Gross sales - (sales returns + allowances + discount)

Gross sales means total sales.

From the information given,

Gross sales = $9000

Discounts = $900

Returns = $150

Allowances = 0(this is because it was not given)

Therefore,

total net sales = 9000 - (900 + 150)

= 9000 - 1050

total net sales = $7950

3 0
2 years ago
Jackie runs and dances for 75 minutes every day.
Mumz [18]

Answer: A. x + y = 75 B. She spends 25 minutes running and 50 minutes dancing every day. C. Yes it is.

Step-by-step explanation: B. She spends 25 minutes running and 50 minutes dancing every day, because if she dances for 25 more minutes then she runs then we can minus 25 from 75 which we get 50. Then we take the 50 a divide it by 2 because of the two categories dancing and running. So we know she spends 25 minutes running then 25 minutes dancing but we need to add the 25 minutes to dancing. So she spends 25 minutes running and 50 dancing. C. Yes it is because she already dances for 50 minutes a day so all she needs to do is workout for 10 minutes less so 65 minutes one day.

6 0
2 years ago
Read 2 more answers
tim estimates that 60÷5.7 is about 10. Will the actual quotient be greater then or less than 10? explain
lana66690 [7]
The actual quotient will be greater than 10 because 60 divided by 5 is 12, so the answer will be between 10 and 12, so it will be greater than 10
7 0
1 year ago
Which expressions are equivalent to 10a - 25 + 5b10a−25+5b10, a, minus, 25, plus, 5, b?
Rainbow [258]

Answer:

Answer: (2a - 5 + b)5

Answer: 10 x (a - 2.5 + 0.5b)

Answer: (-2a + 5 - b) ⋅ (-5)

4 0
2 years ago
James is the manager at an entertainment arena that draws an average 7,000 patrons per event. Each ticket taker can process 350
Elina [12.6K]

Answer:

No. James didn't have enough ticket takers to process the average number of patrons hat usually attend the events.

He need to hire 2 more ticket taker (i.e 20 ticket takers) in order to process the average number of patrons hat usually attend the events.

Step-by-step explanation:

Given:

Average amount of patron per event= 7000

Each ticket taker can process = 350

Number of ticket takers hired = 18

We need to find the whether he hire enough to process the average number of patrons that usually attend the events.

Solution:

We will find the Average amount of patron ticket takers can process.

Now we can say that

Average amount of patron ticket takers can process is equal to Each ticket taker can process multiplied by Number of ticket takers hired.

framing in equation form we get;

Average amount of patron ticket takers can process = 350 \times 18 = 6300\ patrons

Hence With the required hires James cannot fully process the patrons usually attending the event.

To find how many ticket takers required we will divide average number of patrons with  Each ticket taker can process.

framing in equation form we get;

ticket takers required = \frac{7000}{350}=20

hence In order t process the the average number of patrons that usually attend the events James will require 20 ticket takers.

6 0
2 years ago
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