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2 years ago

10

Tom is planning a party for five friends at a game arcade. He can buy different numbers of game tokens for the prices shown on t

he table
each friend will have 25 game tokens.

how much money could tom save, in dollars, if he buys all 125 tokens before the party rather than separately as each friends arrive?

1 answer:

kow [346]2 years ago

3 0

Answer:

He can save 20 dollars

Step-by-step explanation:

He can buy one 100 token amount and one 25 token amount. This will cost 20 + 10 dollars, or 30 dollars. If each friend buys 25 tokens, it will cost

10 * 5 dollars, or 50 dollars. 50 - 30 = 20. So he can save 20 dollars.

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A bucket that weighs 5 lb and a rope of negligible weight are used to draw water from a well that is 60 ft deep. The bucket is f

mestny [16]

Answer:

The value is $W= 2640 \ ft \cdot lb$

Step-by-step explanation:

From the question we are told that

The weight of the bucket is $F = 5 lb$

The depth of the well is $x_1 = 60 \ ft$

The weight of the water is $W_w = 42 lb$

The rate at which the bucket with water is pulled is $v = 1.5 \ ft/s$

The rate of the leak is $r = 0.15 lb/s$

Generally the workdone is mathematically represented as

$W = \int\limits^{x_1}_{x_o} {G(x)} \, dx$ ]

Here G(x) is a function defining the weight of the system (water and bucket ) and it is mathematically represented as

$G(x) = F + (W_w- Ix)$

Here I is the rate of water loss in lb/ft mathematically represented as

$I = \frac{r}{v}$

=> $I = \frac{0.15 }{1.5 }$

=> $I = 0.1$

So

$G(x) = 5 + (42- 0.1x)$

=> $G(x) = 47- 0.1x)$

So

$W = \int\limits^{60}_{0} {47- 0.1x} \, dx$ ]

=> $W = [47x - \frac{0.1x^2}{2} ]|\left 60} \atop {0}} \right.$

=> $W= [47(60) - 0.05(60)^2]$

=> $W= 2640 \ ft \cdot lb$

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Step-by-step explanation:

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Step-by-step explanation:

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2 years ago

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(a) use the pythagorean theorem to determine the length of the unknown side of the triangle, (b) determine the perimeter of the

Kisachek [45]

Answer:

(A) 40 km

(B) 90 km

(C) 180 km²

Step-by-step explanation:

To find the missing side of this triangle, let's use the Pythagorean theorem.

$a^2+b^2=c^2$ , assuming that a and b are legs, and c is the hypotenuse.

Assuming the 9km side is a, we need to find the value of b, so we can substitute into the equation.

$9^2+b^2=41^2\\81+b^2=1681\\b^2=1681-81\\b^2=1600\\\\b = \sqrt{1600} \\b=40$

So, the length of the missing side is 40. Now that we know this piece of information, we can find the perimeter and area of the triangle.

The perimeter is all the sides added together, so $41+9+40 = 90$ km is the perimeter.

The area are the two legs multiplied divided by 2.

So,

$\frac{9\cdot40}{2} \\\\\frac{360}{2}\\\\180$

So the area of this triangle is 180 cm²

I hope this helped!

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3 years ago