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3 years ago

The mean of four numbers is 85. The four numbers are 86, 83, 81, and .

Mathematics

1 answer:

kati45 [8]3 years ago

5 0

Answer:

Step-by-step explanation:

Since, to find the average of a set of numbers, you need to add them all together and divide by the amount of numbers:

$\dfrac{86+83+81+x}{4}=85$

Multiply both sides by 4:

$86+83+81+x=340\\x=90$

Hope this helps!

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Jessie is fencing in a rectangular plot outside of her back door so that she can let her dogs out to play. She has 60 feet of fe

DerKrebs [107]

Answer:

Dimensions are length 15 feet and width 30 feet.

Maximum area of the plot is 450 feet².

Step-by-step explanation:

Let the length of the plot = x feet and width = y feet.

Since, the amount of fencing to be applied on the three sides of the plot is 60 feet.

We have,

$2x + y = 60$ i.e. $y=60-2x$

Now, Area of the rectangular plot = Length × Width

i.e. Area of the rectangular plot = $x \times y$

i.e. Area of the rectangular plot = $x\times (60-2x)$

i.e. Area of the rectangular plot = $-2x^2+60x$

<em>Since, the maximum of the quadratic equation $ax^2+bx+c$ will be obtained at $x= \frac{-b}{2a}$ .</em>

Then, the maximum of the area of the plot is at the point $x= \frac{-60}{2\times (-2)}$ i.e. x= 15

Then, maximum area of the rectangular plot = $-2x^2+60x$

i.e. maximum area of the rectangular plot = $-2\times 15^2+60\times 15$

i.e. maximum area of the rectangular plot = -450+900 = 450 feet²

Hence, Maximum area of the plot is 450 feet².

Then, $y=60-2\times 15$ implies $y=60-30$ i.e. y= 30.

Hence, the maximum area is enclosed by the length 15 feet and width 30 feet.

6 0

3 years ago

How much is a hecto liter <br> or what is a hectoliter??

Alchen [17]

I think it is 1000 liters

8 0

4 years ago

Under his cell phone plan, Owen pays a flat cost of $67.50 per month and $4 per gigabyte. He wants to keep his bill at $71.90 pe

Agata [3.3K]

Answer:

1.1 gigabytes

Step-by-step explanation:

Let us represent:

The number of gigabytes = g

Under his cell phone plan, Owen pays a flat cost of $67.50 per month and $4 per gigabyte. He wants to keep his bill at $71.90 per month.

The Equation is given as:

$71.90 = $67.50 + $4 × g

71.90 = 67.50 + 4g

71.90 - 67.50 = 4g

4.4 = 4g

x = 4.4/4

x = 1.1 gigabytes

Therefore, the number of gigabytes of data Owen can use while staying within his budget is 1.1 gigabytes

8 0

3 years ago

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Sebastian is a 25 year old single male. He currently lives at home with his parents. His net worth income from work is $914.42 p

sergij07 [2.7K]

Step-by-step explanation:

$914.42 + $110= $1024.42 a month

Per month he pays $115 + $14 + $100 + $45 + $70 + $100 + $40

That comes to a total of $484 a month in expenses.

Subtract $484 from $1024.42

Assuming the side hustle is consistent that leaves $540.42 in additional income.

If he wants to afford the house rent, the best thing he can do is look for a better job. If that cannot be done for whatever reason, he should drop the Netflix subscription(+14), not go to the gym(+70), keep his pocketbook tight and not buy gifts(+40), and buy bulk type items from stores.

If he can make his dollar go farther by spending his money on bigger items of food he could probably spend only $85 a month on food.

With this advice he could save an additional $139 a month.

He now has $679. 42

He should also look at finding a cheaper bus pass around that $75 dollar range or just pay the fair whenever he gets on out of pocket (ONLY IF HE IS GOING TO WORK)

That totals out at $754.42

He can now afford rent.

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2 years ago

Kari is flying a kite. She releases 50 feet of string. What is the approximate difference in the height of the kite when the str

makkiz [27]

This one is going to be a<span />

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4 years ago

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