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podryga [215]
2 years ago
9

One number is 5 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 331,

find the numbers.
Mathematics
2 answers:
OleMash [197]2 years ago
6 0

Answer:

33, 165, 133

Step-by-step explanation:

let the first number be n then

second number is 5n

third number is n + 100

sum the 3 numbers and equate to 331

n + 5n + n + 100 = 331 , that is

7n + 100 = 331 ( subtract 100 from both sides )

7n = 231 ( divide both sides by 7 )

n = 33

5n = 5 × 33 = 165

n + 100 = 33 + 100 = 133

the numbers are 33, 165, 133

Yuri [45]2 years ago
3 0

Answer:

33, 165, 133

Step-by-step explanation:

Check this file for the solution!

Download pdf
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A 50 foot rope weighing a total of 32 lbs extended over a cliff that is 35 feet to the ground. A large 8 pound bucket with 19 ga
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Answer:

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Step-by-step explanation:

Work done to lift the rope by distance x feet:

W_1=32(\frac{50-x}{2})

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W_2=(19-\frac{x}{5})(8.3)x

On reaching top 7 gallons of water spilled out so , on going up by x feet \frac{7x}{35}=\frac{x}{5} gallons of water spilled out.

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W=16(50-x)+(19-\frac{x}{5})(8.3)x

Now the work to get the bucket to the top of the cliff i.e. x =35

W=16(50-35)+(19-\frac{35}{5})(8.3)(35)

W=3726

Hence, a function that gives the work required in foot-lbs to lift the bucket up x feet from the ground is W=16(50-x)+(19-\frac{x}{5})(8.3)x and  the work to get the bucket to the top of the cliff is 3726 foot-lbs

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