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a_sh-v [17]
3 years ago
5

A plumber charges a base fee of $ 60, and then each hour of work costs $ 15. Yesterday Joe hired the plumber to fix his sink, at

a total cost of $ 240. How many hours did the plumber work 3.75 hours 4 hours 12 hours 16 hours
Mathematics
1 answer:
lutik1710 [3]3 years ago
4 0

Answer:

12 hours

Step-by-step explanation:

Step one:

given data

base fee= $60

charge per hour= $15

let the number of hours the plumber work be x

the linear function for the charge is the equation of line.

that is y=mx+c

Step two:

given that y=$240

240=15x+60

240-60=15x

180=15x

divide both sides by 15 we have

x=180/15

x=12

<u>The number of hours is 12</u>

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Find the perimeter of the figure.
astraxan [27]

Answer:

26 meters

Step-by-step explanation: Ez. First add all the data you already have. You should end up with 19. Then, you want to find the length of the missing side. Well, we know it's 7 meters since its opposite is 7, and these lengths are in the same square. So 19+7 is 26 meters.

8 0
3 years ago
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What is the midpoint of the line segment with the endpoints J(-9,-4) and K(7,8)?
12345 [234]

Answer:

Step-by-step explanation:

22

7 0
3 years ago
Plant A: A graph has time (weeks) on the x-axis, and height (inches) on the y-axis. A line goes through points (0, 3), (1, 4.8),
butalik [34]

Answer:

The correct option is;

No, The greater rate of change of Plant A will result in it being 0.9 inches taller in 6 weeks

Step-by-step explanation:

The parameters given are;

Plant A:

Weeks,    Height

0,               3

1,                4.8

2,               6.6

3,               8.4

The rate of change of height, H per week, t,\left (\dfrac{dH}{dt} \right )  for plant A per week is therefore;

\dfrac{dH}{dt} =  \dfrac{H_n - H_{(n-1)} }{t_n - t_{(n-1)}} = \dfrac{8.4 - 3 }{3 - 0} = \dfrac{5.4}{3} = 1.8 \ inches/week

Therefore we have;

H = 1.8 × t + 3

At week 6,

H = 3 + 6×1.8 = 13.8 inches

Plant B

Weeks,    Height

2,               7.3

3,               8.7

4,               10.1

The rate of change of height, H per week, t,\left (\dfrac{dH}{dt} \right )  for plant B per week is given as follows;

\dfrac{dH}{dt} =  \dfrac{H_n - H_{(n-1)} }{t_n - t_{(n-1)}} = \dfrac{10.1 - 7.3 }{4 - 2} = \dfrac{2.8}{2} = 1.4 \ inches/week

Therefore we have;

When t = 2, H = 7.3 hence, 7.3 = 2 × 1.4 + H₀

Where:

H₀ = H at t = 0

H₀ = 7.3 - 2 × 1.4 = 4.5

At week 6 we have;

H = 4.5 + 6×1.4 = 12.9 inches

Which indicates that Plant A will be 0.9 inches taller than Plant B at week 6.

The correct option is therefore;

No, The greater rate of change of Plant A will result in it being 0.9 inches taller in 6 weeks.

5 0
3 years ago
Read 2 more answers
Please help with this asap!! :)
Llana [10]

Answer:

x = 11

Step-by-step explanation:

Given :

AB = x + 5

BC = 2(x - 3)

AB = BC

AB = BC

x + 5 = 2(x - 3)

x + 5 = 2x - 6

5 + 6 = 2x - x

     11 = x

     x = 11

happy to help :)

3 0
3 years ago
Fred begins walking toward John house at 3 mi/h. John leaves his house at the same time and walks toward Fred's house on the sam
Tcecarenko [31]
Let us assume as at when they meet, the time elapsed is x hours.

Fred  3 mi/h
John  2 mi/h

Distance = speed * time

Fred = 3x
John = 2x

Houses are 4miles apart. 
So:            3x + 2x  = 4    5x = 4

x = 4/5 hour =  0.8 hour or 0.8*60 = 48 minutes

Time elapsed is 0.8 hour or 48 minutes.
7 0
3 years ago
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