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Marrrta [24]
3 years ago
12

A plumber charges a $65 fee for a repair plus $35 per hour. Write an equation to model the total cost y of a repair that takes x

hours. What graph models the total cost?
Mathematics
2 answers:
Arturiano [62]3 years ago
7 0

Answer:

y = 35x + 65

Step-by-step explanation:

Given the plumber's $65 fee for each repair, plus $35 per hour:

y = total cost of a repair

x = number of hours

The $35 represents the rate of change (or the slope), which is the increase in cost for every x hour of plumbing repairs.

The $65 fee represents the plumber's intial amount for working on plumbing work or repairs (also known as the y-intercept).  This means that the plumber will charge his customers a flat fee of $65, even before starting his plumbing repairs.  

The linear equation to represent the total cost of working x number of hours on plumbing repairs is:  y = 35x + 65.

To graph this linear model, start by plotting point (0, 65), which represents the y-intercept.  Then, use the slope, m = 35/1 (rise over run) to plot other points on the graph.

AVprozaik [17]3 years ago
4 0

Answer:

Shoot the plumber

Step-by-step explanation:

35h + 65 = y

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klio [65]

Answer:

14 x 14 = 196

10 x 14 x 1/2(basically just dividing by 2) = 70

70 x 4(four sides of triangles) = 280

Now let's add the areas together:

196 + 280 = 476 cm^2 is your answer.

8 0
3 years ago
Derrick's Doggie Day Care charges a $12 registration fee plus $5 per hour for pet sitting. Pauline's Pooch Park charges $3 per h
sweet-ann [11.9K]

Answer:

12 + 5h \leq 18 + 3h

Step-by-step explanation:

Given

Represent Derrick's with D and Pauline's with P

For D

Registration Fee = $12

Hourly Charges = $5

For P

Registration Fee = $18

Hourly Charges = $3

Required

Represent as an inequality such that D is at most of P

First, we need to represent both as an expression:

For D

D: 12 + 5h

For P:

P:18 + 3h

Since D is at most of P;

This implies that:

D \leq P

So, we have:

12 + 5h \leq 18 + 3h

6 0
3 years ago
Suppose that 3\%3%3, percent of over 200{,}000200,000200, comma, 000 books borrowed from a library in a year are downloaded. The
sleet_krkn [62]

Answer:

The mean of the sampling distribution of the proportion of downloaded books is 0.03 and the standard deviation is 0.0197.

Step-by-step explanation:

Central Limit Theorem

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

3% of books borrowed from a library in a year are downloaded.

This means that p = 0.03

SRS of 75 books.

This means that n = 75

What are the mean and standard deviation of the sampling distribution of the proportion of downloaded books

By the Central Limit Theorem

Mean: \mu = p = 0.03

Standard deviation: s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.03*0.97}{75}} = 0.0197

The mean of the sampling distribution of the proportion of downloaded books is 0.03 and the standard deviation is 0.0197.

4 0
3 years ago
What is the value of i20^i+1?<br><br> A.1<br> B.-1<br> C.-I<br> D.i
Setler79 [48]

Answer:

Step-by-step explanation:

H

6 0
3 years ago
What is the arithmetic sequence of a1=228 n=28 sn=2982
Art [367]

Answer:

use the formula sn= n(a1+an)/2

Step-by-step explanation:

2982=28(228+an)/2

5964=28(228+an)

5964/28=228+an

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an=-15(last term)

to find difference use formula

an = a+(n-1)d

-15=228+(28-1)d

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d=-243/27

d=-9

arithmetic sequence  can be found be keep on subtracting 9 from 228

hence the arithmetic sequence is

228, 219, 210, 201, 192, 183, 174........-15

3 0
3 years ago
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