A bag contains hair ribbons for a spirit rally. The bag contains 18 black ribbons and 2 green ribbons. Lila selects

Cody and Jordan were selling Flamin' Hot Cheetos to raise money for the Tornados. Cody sold 5 bags of Cheetos for every 3 bags J

andrew11 [14]

They sold 160 and for each 5 bags sold by one 3 bags are sold by another 3+5=8.

160/8=20.

Now Since Cody Sold 5 Bags for every 3 bags for Jordan

5x20=100

3x20=60

Cody Sold 100 and Jordan Sold 60

7 0

3 years ago

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If a = 2 and b = 6, what is the value of the following expression?

pickupchik [31]

Answer:

a, the following expression equals 13

6 0

3 years ago

The graph of F(x) can be flipped over a certain line to produce the graph of its inverse. What is the equation of that line?

OLEGan [10]

$y=x$
...................

3 0

3 years ago

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Hello! Could you please help with these? It was due quite a long time ago. I have a D in this class and need to get my grades up

Digiron [165]

Answer:

16. $y=7x$

17. $y=0.5x$

18. $y=3x$

19. $y=2x$

Step-by-step explanation:

Equation is $y=kx$ where k is a constant of proportionality.

16.

$\frac{y}{x}=\frac{10.5}{1.5}=\frac{14}{2}=\frac{24.5}{3.5}=\frac{35}{5}=7$

So, equation is $y=7x$

17.

$\frac{y}{x}=\frac{1}{2}=\frac{2}{4}=\frac{2.5}{5}=\frac{3.5}{7}=\frac{1}{2}=0.5$

Equation is $y=0.5x$

18.

$\frac{y}{x}=\frac{6}{2}=\frac{9}{3}=\frac{15}{5}=\frac{18}{6}=3$

Equation is $y=3x$

19.

$\frac{y}{x}=\frac{4}{2}=\frac{8}{4}=\frac{14}{7}=\frac{18}{9}=2$

Equation is $y=2x$

4 0

3 years ago

Find the length and width of a rectangle that has the given area and a minimum perimeter. Area: 162 square feet

Gnom [1K]

Answer:

The width and length of rectangle is 12.728 m

Step-by-step explanation:

Let the length of the rectangle = L

let the width of the rectangle = W

The subjective function is given by;

F(p) = 2(L + W)

F = 2L + 2W

Area of the rectangle is given by;

A = LW

LW = 162 ft²

L = 162 / W

Substitute in the value of L into subjective function;

$f = 2l + 2w\\\\f = 2(\frac{162}{w} )+2w\\\\f = \frac{324}{w} + 2w\\\\\frac{df}{dw} = \frac{-324}{w^2} +2\\\\$

Take the second derivative of the function, to check if it will given a minimum perimeter

$\frac{d^2f}{dw^2}= \frac{648}{w^3} \\\\Thus, \frac{d^2f}{dw^2}>0, \ since,\frac{648}{w^3} >0 \ (minimum \ function \ verified)$

Determine the critical points of the first derivative;

df/dw = 0

$\frac{-324}{w^2} +2 = 0\\\\-324 + 2w^2=0\\\\2w^2 = 324\\\\w^2 = \frac{324}{2} \\\\w^2 = 162\\\\w= \sqrt{162}\\\\w = 12.728 \ m$

L = 162 / 12.728

L = 12.728 m

Therefore, the width and length of rectangle is 12.728 m

3 0

3 years ago