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Elodia [21]
2 years ago
8

A robot can complete 7 tasks in

Mathematics
1 answer:
SSSSS [86.1K]2 years ago
5 0

Answer:

5/42 is your answer take robot to complete

7 tasks = 5/6

1 task = 5/42 hour.

1 hour / (5/42 hour/task) = 15/2 tasks = 8.2 tasks.

half a task isn’t a complete task, so the answer is 8 tasks.

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The function g(n) = n2 − 16n + 69 represents a parabola.
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Hello : 
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A rectangular box with an open top has a length of x feet, a width of y feet, and a height of z feet. it costs $4.20 per square
ozzi

To solve this problem you must apply the proccedure shown below:

1. You have that:

-The length is x feet.

- The width is y feet.

- The height is z feet.

2. The box has one base. The cost of the base is:

c1=4.20xy

3. It has four sides. The cost of the sides are:

c2=2(0.75yz)+2(0.75xy)\\ c2=1.5yz+1.5xy

The answer is: The total cost is c=c1+c2\\ c=4.20xy+1.5yz+1.5xy

7 0
3 years ago
How do you solve this?
puteri [66]

Answer:

Width: 7

Length: 14

Step-by-step explanation:

The area of a rectangle can be found my multiplying the length by the width. We do not know neither the length nor the width. However, we do know that the length is 7 feet longer than the width. Because we do not know the value of either side, let's let x represent the width.

Since the length is 7 feet longer, we can represent the length by x+7.

Now that we have our values for the length and the width we can multiply them together to find our area.

(x)(x+7)=x^{2} +7x

Now we have our equation, so we can address the changes made by the original question. The original question states that when 7 is added to both the length and width the area becomes 3 times larger. To do so simply increase each side by 7 by adding 7 to the original values.

(x+7)(x+14)

And multiply our area by 3.

3(x^{2} +7x)

set these equal to each other to find your new equation.

(x+7)(x+14)=3(x^{2} +7x)

Now you need to solve for x. To do this first muliply (x+7) and (x+14).

(x+7)(x+14)=\\x^{2} +14x+7x+98=\\x^{2} +21x+98

Then multiply 3(x^{2} +7x)

3(x^{2} +7x)=\\3x^{2} +21x

Now you can begin solving for x.

x^{2} +21x+98=3x^{2} +21x

Subtract x^{2} from both sides.

21x+98=2x^{2} +21x

Subtract 21x from both sides.

98=2x^{2}

Divide by 2.

49=x^{2}

And finally take the sqaure root of both sides.

\sqrt{x^{2} }=\sqrt{49}\\x=7

Remember, because we are dealing with length, there cannot be negative. So while normally we would get both +7 <em>and</em> -7, in this case we <em>only </em>get +7.

Now that we have the value of x, we can plug it into our original values.

For width we simply get 7.

For length we get 7+7=14

To check our answer we cna multiply 7 by 14 to get 98. Then we can add 7 to our length and width to get 14 and 21. Multiply these together and we get 294. 294 divided by 3 is 98, proving our answer correct.

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