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jeka57 [31]
3 years ago
9

Three numbers have a mean of 64. When a fourth number is included the mean is doubled. What is the fourth number?

Mathematics
2 answers:
astra-53 [7]3 years ago
8 0
The mean is calculated by adding up all of the given numbers and dividing by the number of numbers.

Lets, for ease of understanding, say that the first three number were 64...

Mean=(64+64+64)/3=192/3=64

Now, lets solve for the mean where 'x' is the unknown fourth number and 128 is the mean. (since, the answer said that when the fourth number was added the mean, 64, was doubled '64*2=128')

128=(64+64+64+x)/4
128=(192+x)/4
Multiply both sides by 4
512=192+x
subtract 192 from both sides
320=x

The missing number is 320..


Now lets double check our work.

Mean=(64+64+64+320)/4=512/4=128

Answer=320
mojhsa [17]3 years ago
4 0
This is how i got the answer which is 16:

so first of all, if the mean is 64 then, u divide the 64/2 and u will get 32 so 32 + 32 would give u 64 but u wanna get the fourth number which 16 so then, u divide 32/2 which gets u the number 16 and then if u add up 16 + 16 + 16 + 16 = 64 so now 16 is the fourth number.

im sincerely sorry cuz i didn't know any other way to explain it but i hope this is correct!! :)
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Fabio and Gwen are saving money to buy a new gaming station. They need at least $510 to purchase the new gaming station. Gwen we
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<u>Answer-</u>

Set of constraints to model the problem are,

12x+9y\geq 510

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<u>Solution-</u>

<em>x = the number of lawns weeded by Gwen,</em>

<em>y = the number of dogs walked by Fabio.</em>

1.

As, Gwen charges $12 each time she weeds a yard and Fabio charges $9 each time he walks a dog,

\text{Earnings of Gwen} = 12x

\text{Earnings of Fabio} = 9y

\text{Total earning} = 12x+9y

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12x+9y\geq 510

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The number of dog walks that Fabio has scheduled is no more than twice the number of yards Gwen has scheduled to weed, means

y must be less than or equal to 2x.

The equation for this is,

y \leq 2x

3.

Fabio will walk at least 25 dogs, means y must be greater than of equal to 25.

The equation for this is,

y \geq 25



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