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4 years ago

5

A boy and his younger sister are at the arcade but they only have enough money for one game of skee ball. If they get to play 9

balls, which of the following best describes how the girl and her brother might share the balls?

1 answer:

Xelga [282]4 years ago

5 0

Are there answer choices? If not, the older brother will get 5, and the younger sister will get 4.

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A submarine is650 feet below sea level. If it defends 400 feet, which integer represents its new position

Musya8 [376]

Answer:

-1050

Step-by-step explanation:

-650+(-400)=-1050

We use negatives to show it is below sea level

7 0

3 years ago

Read 2 more answers

Find three positive numbers whose sum is 140 and whose product is a maximum. (Enter your answers as a comma-separated list.)

Paladinen [302]

Answer:

$\frac{140}{3}, \frac{140}{3}, \frac{140}{3}$

Step-by-step explanation:

Let the numbers be $x, y\ and\ z.$

Such that:

$x + y + z = 140$

Make z the subject

$z = 140 -x - y$

For their product to be maximum, we have:

$f(x,y,z) = xyz$

Substitute $z = 140 -x - y$ in $f(x,y,z) = xyz$

$f(x,y) = xy(140 - x - y)$

Open bracket

$f(x,y) = 140xy - x^2y - xy^2$

Differentiate w.r.t x and y

$f_x=140y - 2xy - y^2$

$f_y=140x - x^2 - 2xy$

Since the products are maximum, then $f_x = f_y = 0$

For $f_x=140y - 2xy - y^2$

$140y - 2xy - y^2 = 0$

Factorize:

$y(140 - 2x - y) = 0$

Split

$y = 0\ or\ 140 - 2x - y = 0$

Make y the subject

$y = 0\ or\ y = 140 - 2x$

For $f_y=140x - x^2 - 2xy$

$140x - x^2 - 2xy = 0$

---------------------------------------------------

Substitute y = 0

$140x - x^2 -2x*0 = 0$

$140x - x^2 = 0$

Factorize

$x(140 - x)= 0$

$x = 0\ or\ 140-x = 0$

$x = 0\ or\ x = 140$

---------------------------------------------------

Substitute $y = 140 - 2x$

$140x - x^2 - 2xy = 0$

$140x - x^2 - 2x(140 - 2x) = 0$

$140x - x^2 - 280x + 4x^2 = 0$

Re-arrange

$4x^2 -x^2 +140x - 280x = 0$

$3x^2 -140x = 0$

Factor x out

$x(3x - 140) = 0$

Divide through by x

$3x - 140 = 0$

$3x = 140$

$x = \frac{140}{3}$

Recall that: $y = 140 - 2x$

$y = 140 - 2 * \frac{140}{3}$

$y = 140 - \frac{280}{3}$

Take LCM

$y = \frac{140*3-280}{3}$

$y = \frac{140}{3}$

Recall that:

$z = 140 -x - y$

$z = 140 - \frac{140}{3} - \frac{140}{3}$

Take LCM

$z = \frac{3 * 140- 140 - 140}{3}$

$z = \frac{140}{3}$

Hence, the numbers are:

$\frac{140}{3}, \frac{140}{3}, \frac{140}{3}$

8 0

3 years ago

A biking track has a length of 0.9 miles . How long is this in feet ?

Anika [276]

4,752 will be your answer

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3 years ago

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Round the number 296,386,482 to the nearest million

expeople1 [14]

1,000,000 is 1 million
look at the previous digit
if it is less than 5 then leave the millions place as is and replace the following digits with zeroes

if it is equal to or greater than 5, add 1 to the millions place and replace the following digits with zeroes

296,386,482
3<5
round down (leave as is baseically)
296,000,000 is rounded

8 0

3 years ago

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250 in expanded form

11Alexandr11 [23.1K]

Answer:

(200)+(50)+(0)

Step-by-step explanation:

you just take all the numbers and break them up

8 0

3 years ago