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choli [55]
3 years ago
14

It takes Bobby 12 hours longer to build a robot than it takes Alex. Together, they can build the Robot in 8 hours. How long does

it take Bobby to build the robot by himself?
Mathematics
1 answer:
anyanavicka [17]3 years ago
6 0

Answer:

24 hours

Step-by-step explanation:

The computation of the number of hours taken by Bobby to build the robot by himself is shown below:

Given that

Bobby could take 12 hours

Together they could build in 8 hours

So based on the above information

the number of hours taken by Bobby to build the robot by himself is

Let us assume the above line be x

So,

\frac{1}{8}-\frac{1}{12} = \frac{1}{x}  \\\\\frac{6 - 4}{48} = \frac{1}{x}  \\\\\frac{2}{48} = \frac{1}{x}  \\\\x = \frac{48}{2}

x = 24 hours

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Iteru [2.4K]

Fun, geometry disguised as probability.

That's a pentagon, which we can view as 10 right triangles with legs a and s/2 (half of s) and hypotenuse r.  So area of the pentagon is

P = 10 × (1/2) a (s/2) = 10 (1/2) (3.2) (4.7/2) = 37.6

The area of the circle is πr² so the circle area is

C = π (4²) = 50.265482

The white area is the difference, C-P, and the probability we seek is the fraction of the circle that's white, so (C-P)/C.

p = (C-P)/C =1-P/C = 1-37.6/50.265482 = 0.251971

Answer: 0.25

Higher than I would have guessed from the figure.

7 0
3 years ago
2. A rectangle has a perimeter of 100. Its
slava [35]

Answer:

Option H

Step-by-step explanation:

Perimeter of rectangle= 2(length) +2(width)

100= 2(5a -22) +2[½(a +1)]

Expand:

100= 2(5a) +2(-22) +a +1

100= 10a -44 +a +1

Simplify:

100= 11a -43

+43 on both sides:

11a= 100 +43

11a= 143

Divide both sides by 11:

a= 143 ÷11

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8 0
3 years ago
Lisa recorded a 2-hour television show. When she watched it, she skipped the commercials. It took her
Alexxx [7]

Answer:

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Step-by-step explanation:

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3 years ago
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3 years ago
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Answer:

c = 4

Step-by-step explanation:

Simplifying

3c + 6 = 18

Reorder the terms:

6 + 3c = 18

Solving

6 + 3c = 18

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-6' to each side of the equation.

6 + -6 + 3c = 18 + -6

Combine like terms: 6 + -6 = 0

0 + 3c = 18 + -6

3c = 18 + -6

Combine like terms: 18 + -6 = 12

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Divide each side by '3'.

c = 4

Simplifying

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