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mafiozo [28]
2 years ago
13

I had to hire a plumber to come fix a leaky pipe. The first day he worked 3 hours and charged me $450. The next day he came back

and finished the job working another 5 hours charging me $700. Find the equation that represents the cost, y, after x hours of working.​
Mathematics
1 answer:
frosja888 [35]2 years ago
8 0

Answer:

143.75X = Y

Explanation:

Since I had to hire a plumber to come fix a leaky pipe, and the first day he worked 3 hours and charged me $ 450, while the next day he came back and finished the job working another 5 hours charging me $ 700, to find the equation that represents the cost, and, after x hours of working, the following calculation must be performed:

(450 + 700) / (3 + 5) = Y

1150/8 = Y

143.75 = Y

Thus, the hourly cost of the plumber's work was $ 143.75.

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What is 3.7 reapeting as a mixed number?
Masteriza [31]

Answer:

3 \frac{7}{9}

Step-by-step explanation:

We know that the first digit of 3.7, 3, will just be a 3.

However, if we have .\overline{77}, we have to know what gets this.

If we have a number over 9, it will be that number repeating (excluding 9 itself).

So if we have .77 repeating, it would have to be \frac{7}{9}, adding 3 to this gets us 3 \frac{7}{9}.

Hope this helped!

3 0
3 years ago
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
andriy [413]

Answer:

The point that maximizes the objective function is (3,0)

Step-by-step explanation:

we have

Constraints:

x\geq 0\\y\geq 0\\-x + 3\geq y\\y\leq \frac{1}{3}x+1

Using a graphing tool

The feasible region is the shaded area

see the attached figure

The vertices of the feasible region are

(0,0),(0,1),(1.5,1.5) and (3,0)

we know that

To find the point in the feasible region that maximizes the objective function, replace each ordered pair of vertices in the objective function and then compare the results.

The objective function is

C=5x-4y

For (0,0) -----> C=5(0)-4(0)=0

For (0,1) -----> C=5(0)-4(1)=-4

For (1.5,1.5) -----> C=5(1.5)-4(1.5)=1.5

For (3,0) -----> C=5(3)-4(0)=15

therefore

The point that maximizes the objective function is (3,0)

8 0
3 years ago
Mathema
murzikaleks [220]

9514 1404 393

Answer:

  (3)  12

Step-by-step explanation:

Let x represent the length of leg XY. Then the length of YZ is x/2 and the area  of the right triangle is ...

  A = 1/2bh

  A = 1/2(x)(x/2) = x²/4

  36 = x²/4 . . . . . use the given value for area

  144 = x² . . . . . . multiply by 4

  √144 = 12 = x . . . . . take the square root

The length of leg XY is 12 cm.

8 0
3 years ago
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Kamila [148]

Answer: D

Step-by-step explanation:

it equals 15/12

6 0
3 years ago
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Evaluate x+x+x+2x for x=2
Nutka1998 [239]

Answer:

10

Step-by-step explanation: substitute 2 for all the x’s and add.

4 0
3 years ago
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