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Yakvenalex [24]
3 years ago
9

5) Mario owns a plumbing business. He charges an hourly rate plus a onetime set up fee. His first job was 4 hours and he charged

$450. His second job was 3 hours and he charged $675. If his set up fee is $150, how much does he charge per hour?
Mathematics
1 answer:
Wittaler [7]3 years ago
5 0

Answer:

Results are below.

Step-by-step explanation:

<u>First, we need to calculate the variable income per job:</u>

<u />

First job= 450 - 150= 300

Second job= 675 - 150= 525

<u>Now, the hourly rate:</u>

<u></u>

Hourly rate= total variable income / number of hours

First job= 300 / 4= $75

Second job= 525 / 3= $175

It is probably that the second job was 7 hours long. If not, he doesn't charge the same amount per hour

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The equation d=4 -1/15t represents your distance from home,d, for each minute you walk,t. If you graphed this equation, determin
Readme [11.4K]

we have

d=4 -\frac{1}{15}t

using a graph tool

see the attached figure

For t=0 d=4 -------> the y-intercept

that means that at the time t=0 the house was four units away.

For t=60 min  d=0 -------> x-intercept

that means he was already at home at the time t=60 minutes.

therefore

the graph of this equation represents the walk towards the house

3 0
2 years ago
If anyone can answer this, I will give you hearts!
kotegsom [21]

Answer:

  see attached

Step-by-step explanation:

Rotation 270° counterclockwise is equivalent to rotation 90° clockwise. The transformation of coordinates is ...

  (x, y) ⇒ (y, -x) . . . . . . . rotation 270° CCW

This means the points are moved to ...

  A(-2, 1) ⇒ A'(1, 2)

  B( 1, 2) ⇒ B'(2, -1)

  C(-2, 4) ⇒ C'(4, 2)

The rotated triangle is shown in the attachment. You may notice that A' and B are the same point.

6 0
2 years ago
A binary operation is defined on the set of real numbers ℝ by
zloy xaker [14]

Answer:

I. m = 2401

II. ((n+1) ∆ y)/n = 1/n[(n – y + 2)(n – y) + 1]

Step-by-step explanation:

I. Determination of m

x ∆ y = x² − 2xy + y²

2 ∆ − 5 = √m

2² − 2(2 × –5) + (–5)² = √m

4 – 2(–10) + 25 = √m

4 + 20 + 25 = √m

49 = √m

Take the square of both side

49² = m

2401 = m

m = 2401

II. Simplify ((n+1) ∆ y)/n

We'll begin by obtaining (n+1) ∆ y. This can be obtained as follow:

x ∆ y = x² − 2xy + y²

(n+1) ∆ y = (n+1)² – 2(n+1)y + y²

(n+1) ∆ y = n² + 2n + 1 – 2ny – 2y + y²

(n+1) ∆ y = n² + 2n – 2ny – 2y + y² + 1

(n+1) ∆ y = n² – 2ny + y² + 2n – 2y + 1

(n+1) ∆ y = n² – ny – ny + y² + 2n – 2y + 1

(n+1) ∆ y = n(n – y) – y(n – y) + 2(n – y) + 1

(n+1) ∆ y = (n – y + 2)(n – y) + 1

((n+1) ∆ y)/n = [(n – y + 2)(n – y) + 1] / n

((n+1) ∆ y)/n = 1/n[(n – y + 2)(n – y) + 1]

7 0
3 years ago
A nike bag cost $122 if for the holiday it's marked down by 20%. What is the total cost after tax if the tax is 8%
Sindrei [870]
The answer would be 105.41
Explantaion: 122 • 0.2=24.4
122-24.4=97.6
97.6•0.08=7.808 which rounded to the nearest hundredths would be 7.81 then 97.6+7.81=105.41
4 0
3 years ago
Decompose the figure into regions that are closest to each
Korolek [52]

The image is decomposed as follows: H1 and H2. Where original graph is Hx.

<h3>Are the images (attached) valid decompositions of the original graph?</h3>

  • Yes, they are because, H1 and H1 are both sub-graphs of Hx; also
  • H1 ∪ H2 = Hx
  • They have no edges in common.

Hence, {H1 , H2} are valid decomposition of G.

<h3>What is a Graph Decomposition?</h3>

A decomposition of a graph Hx is a set of edge-disjoints sub graphs of H, H1, H2, ......Hn, such that UHi = Hx

See the attached for the Image Hx - Pre decomposed and the image after the graph decomposition.

Learn more about decomposition:
brainly.com/question/27883280
#SPJ1

7 0
1 year ago
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