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Anna35 [415]
3 years ago
11

The length of time, y hours, it takes to put a jigsaw puzzle together is inversely proportional to the number of children, x, wo

rking on it. It takes 16 children 6 hours to put the jigsaw puzzle together. How many children are needed to put the same jigsaw puzzle together in 4 hours?
Mathematics
1 answer:
andrew11 [14]3 years ago
5 0

Answer:

<em>24 children</em>

Step-by-step explanation:

If the length of time, y hours, it takes to put a jigsaw puzzle together is inversely proportional to the number of children, x, this is represented as;

y  \alpha \frac{1}{x}\\y =\frac{k}{x}

k is the constant of proportionality

If it takes 16 children 6 hours to put the jigsaw puzzle together, this means at x = 16, y = 6

Substitute:

6 = k/16

k = 6*16

k = 96

W are to find number of children needed to put the same jigsaw puzzle together in 4 hours, this is done by substituting k = 96 and y = 4 into the expression y = k/x

y = 96/4

y = 24

<em>Hence it will take 24 children to put the same jigsaw puzzle together in 4 hours</em>

<em></em>

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Answer:

(a + bi) \times 1 = (a + bi)

Step-by-step explanation:

The identity property means that whatever you put in is whatever comes out. Notice that if we multiply 1 with any number, we get that number back. So multiplying by 1 is the identity property of multiplication.

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1.The base length of a rectangle is multiplied by 8. How does this affect the area?
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2x bigger

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because if you split the rectange in half, it would be 2x?

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2 years ago
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In the game of​ roulette, a player can place a ​$4 bet on the number 29 and have a 1/38 probability of winning. If the metal bal
creativ13 [48]

Answer:

The expected value of the game to the player is -$0.2105 and the expected loss if played the game 1000 times is -$210.5.

Step-by-step explanation:

Consider the provided information.

It is given that if ball lands on 29 players will get $140 otherwise casino will takes $4.

The probability of winning is 1/38. So, the probability of loss is 37/38.

Now, find the expected value of the game to the player as shown:

E(x)=(140)\times \frac{1}{38}+(-4)\times \frac{37}{38}

E(x)=\frac{140-148}{38}

E(x)=\frac{-8}{38}=-$0.2105

Hence, the expected value of the game to the player is -$0.2105.

Now find the expect to loss if played the game 1000 times.

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Therefore, the expected loss if played the game 1000 times is -$210.5.

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3 years ago
Jake wants to buy two pairs of a particular style of sunglasses. The sunglasses are sold at two different stores. Sunglass House
mariarad [96]

Answer:

Based on the calculations, the store with the better buy is The Eyewear Shoppe

Step-by-step explanation:

Jake wants to buy two pairs of a particular style of sunglasses. The sunglasses are sold at two different stores.

For The Eyewear Shoppe:

The Eyewear Shoppe sells the sunglasses for $60 but is having a “Buy 1 Pair, Get 1 Pair Free” promotion.

Based on this promotion, you can get 2 sunglasses for $60

For Sunglass House

Sunglass House sells the sunglasses go 20% off the $40 retail price.

A Sunglass = $40 - ( 20%× $40)

= $40 - $8

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Two sunglasses will cost = $32 × 2

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Therefore, based on the above calculations, the store with the better buy is The Eyewear Shoppe

3 0
3 years ago
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