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g100num [7]
2 years ago
7

What is 96-8c=20-12

Mathematics
1 answer:
galben [10]2 years ago
5 0

Answer:

c = 11

Step-by-step explanation:

96 - 8c = 20 - 12 , that is

96 - 8c = 8 ( subtract 96 from both sides )

- 8c = - 88 ( divide both sides by - 8 )

c = 11

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How do you write four and 13 twentyeths as a decimal
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Find the equation of the line that is perpendicular to the line y = (-1/3)x -1 and passes through the point (1, 5)?
Anit [1.1K]

bearing in mind that perpendicular lines have negative reciprocal slopes, so


\bf \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}~\hspace{10em}\stackrel{slope}{y=\stackrel{\downarrow }{-\cfrac{1}{3}}x-1} \\\\[-0.35em] ~\dotfill


\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{1}{3}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{3}{1}}\qquad \stackrel{negative~reciprocal}{+\cfrac{3}{1}\implies 3}}


so we're really looking for a line whose slope is 3 and runs through (1,5)


\bf (\stackrel{x_1}{1}~,~\stackrel{y_1}{5})~\hspace{10em} slope = m\implies 3 \\\\\\ \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-5=3(x-1) \\\\\\ y-5=3x-3\implies y=3x+2

4 0
3 years ago
Five times a number is the same as 30 more than 8 times the number. Find the number. If n is "the number," which equation could
Sergeu [11.5K]

Answer:

C. 5n = 8n + 30

Step-by-step explanation:

5 times a number = 5n

30 more than 8 times a number = 30 + 8n

If those expressions are equal, then:

5n = 8n + 30

5 0
2 years ago
Select the correct answer from each drop-down menu. ∆abc has side lengths of 10 units, 20 units, and 24 units. ∆xyz is simil
scoundrel [369]

The length of sides of triangle XYZ is 60,25 and 50 units and the perimeter of triangle is 135 units.

<h3>What is perimeter?</h3>

A closed route that covers, encircles, or outlines a one-dimensional length or a two-dimensional form is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter. There are several uses in real life for perimeter calculations. The perimeter of a form is the space surrounding its edge. We must sum up the lengths of the rectangle's four sides in order to get its perimeter. Since there are two of each side length, it is easy to do this by simply adding the length and breadth and multiplying the result by two.

Here,

While ABC's longest side is 24, XYZ's is 60.

Thus, the sides of XYZ are 2.5 times longer than those of ABC.

Thus, the sides of XYZ are 2.5 times longer than those of A

BC.  The additional XYZ sides are 10*2.5 = 25 and 20*2.5 = 50.

60 + 50 + 25=135

The perimeter is 135 units.

Verify ABC's perimeter is 10+20+24 = 54

XYZ's perimeter is 54 * 2.5 = 135

Triangle XYZ has sides that are 60, 25 and 50 units long and a perimeter that is 135 units.

To know more about perimeter,

brainly.com/question/3095256

#SPJ4

4 0
9 months ago
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