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3 years ago

5

Gary spent 48 dollars on a watch. HE spent 1/3 of remainder on a pen. If he still had 1/2 of money left, how much money did he h

ave at first?

1 answer:

givi [52]3 years ago

7 0

First we find 1/3 of 48 so 48÷3=16
now we find 1/2 of 48=24

now we add 48+16+24=88

he had 88dollars in total :)
i hope this was helpful

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the trailer cost one-fourth as much as the boat. the total cost of both is 4,000 how much did each cost

Katarina [22]

Answer: Boat cost $ 3200

Trailer cost $ 800

Step-by-step explanation: From the statement , the coat of Trailer (t) = 1/4 of the coat of the boat ( b)

i.e t = 1/4b

multiply through by 4

4t = b

both cost 4,000

i.e t + b = 4000

recall: b = 4t

therefore

t + 4t = 4000

5t = 4000

t = 4000/5

t = 800

b = 4000 - 800

b = 3200

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A collection of 5 positive integers has mean 4.4, unique mode 3 and median 4. If an 8 is added to the collection, what is the ne

Sphinxa [80]

9514 1404 393

Answer:

4.5

Step-by-step explanation:

It appears the 5 integers must be {3, 3, 4, 5, 7}.

For the mode to be unique, there must be more than one '3', and there cannot be any other repeated numbers. For 4 to be the median, it must be the 3rd-highest number. Then the remaining numbers must be integers greater than 4 with a sum of 12 for the mean to be 4.4.

When 8 is added to the collection, the median is now the average of 4 and 5, so is 4.5.

The new median is 4.5.

_____

<em>Comment on vocabulary</em>

<u>mean</u>: the sum of numbers divided by the number of numbers. 5 numbers with a mean of 4.4 will have a sum of 5×4.4 = 22.

<u>median</u>: the middle number of a collection of an odd number of numbers, when sorted from lowest to highest. It is the 3rd number of a group of 5 numbers. When there are an even number of numbers in the group, the median is the average of the middle two in the sorted list. Here, that means the 3rd number in the list of 5 is '4'. When 8 is added, 4 becomes one of the numbers contributing to the average that will be the new median.

<u>mode</u>: the member of the group that appears the most times. When the mode is unique, it means there are no other numbers repeated as often. Here, we know the 3rd number (of 5) is 4, so there can only be two numbers '3' in the collection. That 3 is the unique mode means no other numbers are repeated at all.

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3 years ago

A 150 cm pendulum swings through an arc which measured 100pi cm. In exact radians, through what angle does it swing?

choli [55]

Answer:

Pendulum will swing by an angle 0.666π

Step-by-step explanation:

We have given arc = $100\pi cm$

And length of the pendulum l = 150 cm

Length of the pendulum will be equal to radius of the pendulum so r = 150 cm

Arc is given by $arc=radius\times angle$

So $100\pi =150\times\times \Theta$

$\Theta =0.666\pi$

So pendulum will swing by an angle 0.666π

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madam [21]

Answer:

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Step-by-step explanation:

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