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Citrus2011 [14]

3 years ago

6

Please help!! i have limited time

2 answers:

Leya [2.2K]3 years ago

7 0

Answer:

tnhjhjjhhhhhhhhhhhhhhhh

Step-by-step explanation:nbbn

jhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Phantasy [73]3 years ago

5 0

Answer:

Number 1

Step-by-step explanation:

The median in number 1 is 13 and the range for number 1 is also thirteen so it has to be it.

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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

Chase volunteers at an animal shelter after school, feeding and playing with the cats. If he can make 5 servings of cat food fro

Andrew [12]

It should weigh roughly 0.15 pounds

4 0

3 years ago

Hey can you please help me posted picture of question

Svetach [21]

The correct answer is vertex.

Vertex is minimum(lowest) point when parabola opens upwards, it is the maximum(highest) point when parabola opens downward, it is the farthest point on left if parabola opens right and farthest point towards right if parabola opens left.

So the correct answer to this question is option D

3 0

3 years ago

Joe bought two cups of coffee and five donut for a total of 60 the next day he bought six cups of coffee and seven donuts for a

Sladkaya [172]

Answer is you asking for a lot

7 0

3 years ago

A man earned £6500 for the month. He paid 2/5 in tax . How much did he have left to spend?

grin007 [14]

Answer:

$2600

Step-by-step explanation:

Im not too fond of the conversion of Pounds and USD. But if it were USD 2/5 of the amount would be $2600

6 0

3 years ago