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cluponka [151]
3 years ago
7

How many 8oz packages of cookies can u be made from 12 pounds of cookies

Mathematics
1 answer:
Y_Kistochka [10]3 years ago
7 0
You can make 24 packages of coookies.

192 ounces are in 12 pounds.

Take 192/8 to get 24.
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im confused

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Find the domain and range of f(x)=3^x
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Answer:

Below in bold.

Step-by-step explanation:

x can have any real value - the domain is (-∞, ∞).

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3 years ago
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Help i dont understand how to complete this
Luda [366]

Answer: Josh = 19.8 hours, Danny = 10.8 hours

<u>Step-by-step explanation:</u>

Josh: \dfrac{1}{x+9}\\\\\\Danny: \dfrac{1}{x}\\\\\\Together: \dfrac{1}{7}\\\\\\Josh\quad + \quad Danny\quad =\quad Together\\\dfrac{1}{x+9}\quad +\qquad \dfrac{1}{x}\qquad = \qquad \dfrac{1}{7}\\\\\\\underline{\text{Clear the denominator by multiplying by the LCM: (x+9)(x)(7)}}\\\\7(x) + 7(x+9)=x(x+9)\\7x + 7x + 63 = x^2+9x\\14x+63=x^2+9x\\0=x^2-5x-63\\\\\\\underline{\text{Use the quadratic formula to solve for x: }}x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}

x=\dfrac{-(-5)\pm \sqrt{(-5)^2-4(1)(-63)}}{2(1)}\\\\\\.\quad =\dfrac{5\pm\sqrt{25+252}}{2}\\\\\\.\quad =\dfrac{5\pm\sqrt{277}}{2}\\\\\\.\quad =\dfrac{5\pm 16.6}{2}\\\\\\x =\dfrac{5+16.6}{2}\qquad x=\dfrac{5-16.6}{2}\\\\\\x=\dfrac{21.6}{2}\qquad \qquad x=\dfrac{-11.6}{2}\\\\\\x=10.8 \qquad \qquad x=-5.8

Since time cannot be negative, x=-5.8 is an extraneous solution (not valid) so x = 10.8

Josh: x + 9   -->   10.8 + 9   =   19.8

Danny: x     -->    10.8

****************************************************************************************

2a) k = 9.45 & 0.55

2b) x = 3/2

2c) x = 2/3     <em>(x = -1 is an extraneous solution so is not valid)</em>

2d) No Solution   <em>(x = 1 is an extraneous solution so is not valid)</em>

Here is the work for 2a.  Follow this format for b, c, & d

\dfrac{3}{k^2-8x+12}=\dfrac{k}{k-2}-\dfrac{4}{k-6}\\\\\text{Since the denominator cannot equal zero, then } k \neq2\ and\ k\neq6\\\text{If either of the solutions are 2 or 6, then that solution needs to be crossed out}\\\\\underline{\text{Clear the denominator by multiplying by the LCM: (k-2)(k-6)}}\\\\3 = k(k-6)-4(k-2)\\3=k^2-6k-4k+8\\0=k^2-10k+5\\\\\\\underline{\text{Use the quadratic formula to solve for k}}

x=\dfrac{-(-10)\pm \sqrt{(-10)^2-4(1)(5)}}{2(1)}\\\\\\.\quad =\dfrac{10\pm\sqrt{100-20}}{2}\\\\\\.\quad =\dfrac{10\pm\sqrt{80}}{2}\\\\\\.\quad =\dfrac{10\pm8.9}{2}\\\\\\x=\dfrac{10+8.9}{2}\qquad x=\dfrac{10-8.9}{2}\\\\\\x=\dfrac{18.9}{2}\qquad x=\dfrac{1.1}{2}\\\\\\x=9.45\qquad x=0.55\\\\\\\text{Both answers are valid!}

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3 years ago
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Step-by-step explanation:

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4 0
3 years ago
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Y=-2x - 2<br> y=7x - 20<br> Solve each by substitution
valina [46]

Answer:

(2, -6)

Step-by-step explanation:

Because each equation is equal to y, you can plug the y equal to each other.  Because one y is equal to -2x-2 and the other is 7x-20, you can set them equal to each other.  So you should have

-2x - 2 = 7x - 20

The next step is to solve for x, which mean that x is 2, then plug 2 into one of the original equations ( it doesn't matter which one) and solve for y, and when you do that, you will get -6

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