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MAXImum [283]
2 years ago
13

What is the equation of a line that has a slope of -1/2 and contains the point (8,1)?

Mathematics
1 answer:
Troyanec [42]2 years ago
3 0

(\stackrel{x_1}{8}~,~\stackrel{y_1}{1})\hspace{10em} \stackrel{slope}{m} ~=~ -\cfrac{1}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{-\cfrac{1}{2}}(x-\stackrel{x_1}{8}) \\\\\\ y-1=-\cfrac{1}{2}x+4\implies y=-\cfrac{1}{2}x+5

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katrin2010 [14]

Answer:

Part A: Number of cups of blue paint are 3 that are mixed with each cup of red paint.

Part B: \frac{1}{3}

Part C:<em> $8</em>

Step-by-step explanation:

Given that:

The ratio of the number of cups of blue paint to the number of cups of red paint that Lara mixed to make a shade of purple paint is 3:1.

Part A:

The number of cups of blue paint = 3

The number of cups of red paint = 1

In sentence form, it can be written that:

Number of cups of blue paint are 3 that are mixed with each cup of red paint.

Part B:

3 cups of blue paint requires 1 cup of red paint.

\frac{3}{3}=1 cup of blue paint requires \frac{1}{3} cup of red paint.

Here, unitary method is used.

So, \frac{1}{3} cup of red paint should be added to each cup of blue paint to make shade of purple.

Part C:

6 cups of blue paint are purchased for $48.

1 cup of blue paint is purchased for \frac{\$48}{6} = \$8

5 0
2 years ago
The school that Billy Bob goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3
svp [43]

Answer:

if your looking for the ordered pair its 8,14....But if you looking for the answer for the prices it

for grandpa 8 dollars

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S8,C14

Step-by-step explanation:

Litterally the answer is the ordered pair and the answer is on the graph shown in the problem.

5 0
3 years ago
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zloy xaker [14]

Answer:

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Step-by-step explanation:

26+(3x+1)= 180

4 0
2 years ago
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Luda [366]

Answer:

It's false because it's actually about 75%.

Step-by-step explanation:

From 15-45 is 3/4 of the plot

4 0
3 years ago
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Blababa [14]
The answer is 8n^2

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2 years ago
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