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4 years ago

Can you answer question 29, please?

Mathematics

1 answer:

timurjin [86]4 years ago

5 0

From the table, for every 6 containers of water, you need 8 containers of red dye. So, for every one container of red dye you need 0.75 containers of water (6/8). Then, multiply that by 100 (since you wanted to know water necessary for 100 containers of red dye). For 100 containers of red dye, you would need 75 containers of water.

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A line passes through the point (-1, - 8) and has a slope of -6. Write an equation for this line.In slope intercept form

Alenkasestr [34]

$\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}$

<em>A line passes through the point (-1, -8) and has a slope of -6. Write an </em>

<em> equation for the line in slope-intercept form.</em>

<em />

<em /> $\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}$

First, let's write the equation of the line in Point-slope form:-

$\Large\text{$y-y_1=m(x-x_1)$}$

Replace y₁ with -8, m with -6, and x₁ with -1:-

$\Large\text{y-(-8)=-6(x-(-1)}$

$\bigstar$ On simplification,

$\Large\text{y+8=-6(x+1)}$

$\bigstar$ Now let's convert it into slope-intercept form:-

$\Large\text{y+8=-6x-6}$

$\bigstar$ <em> </em>On further simplification,

$\Large\text{y=-6x-6-8}$

$\bigstar$ Finally, We get

$\Large\textit{y=-6x-14}$

$\Uparrow\textsf{Our equation in slope-intercept form}$

<h3>Good luck with your studies.</h3>

#TogetherWeGoFar

$\rule{70}{1}\smile\smile\smile\smile\rule{70}{1}$

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Answer:

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Step-by-step explanation:

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