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Annette [7]
3 years ago
12

What is the cost per pencil

Mathematics
1 answer:
belka [17]3 years ago
5 0

Answer:

$0.12/pencil

Step-by-step explanation:

The cost per pencil would be the unit cost or the slope of the given line.

Let's choose the point on the line (200, $24).  Note that the graph passes through (0, 0) as well.  Then the slope = unit cost per pencil is

m = rise / run = $24/200 pencils = $0.12/pencil

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Find the image of triangle GHJ under the translation of (X,Y) ——> ( x-1, y-8)
MAVERICK [17]

Answer:

triangle KLM

Step-by-step explanation:

Take one point on the initial triangle and move it according to the given translation to locate the image. I used point G. Its coordinate plot is at

(2,3). I perform the operation of the given translation to this. (X1-X2, y1-y2).

So, (2-1, 3-8). The new coordinates will be (1,-5) and the only triangle with these coordinates is triangle KLM.

8 0
3 years ago
Read 2 more answers
PLEASE HELP! URGENT! 35 POINTS!
cluponka [151]
In a triangle, the three interior angles always add to 180°

m∠R + m∠S + m∠<span>T = 180

</span><span>(2x+10) + (2x+25) + (x-5) = 180
</span>2x+10 + 2x+25 + x-5 = 180
5x + 30 = 180
5x = 150
x = 30
5 0
3 years ago
Read 2 more answers
Find the area of the regular polygon​
Y_Kistochka [10]

Answer:

A = 374.123 ft^2

Step-by-step explanation:

First, lets calculate the perimeter:

Perimeter (p) = side length (s) * number of sides (n)

p = s * n

p = 12 * 6

p = 72

Next, lets find the apothem, which is the shortest length from any side to the middle. It's like the radius in a circle, but more complicated.

Apothem (a) = side length (s) / ( 2 * tan(180/number of sides (n)) )

a = \frac{s}{2 * tan (\frac{180}{n} )}

a = \frac{12}{2 * tan (\frac{180}{6} )}

a = \frac{12}{2 * \frac{\sqrt{3} }{3}}

a = \frac{12}{\frac{2\sqrt{3} }{3}}

a = \frac{12*3}{2\sqrt{3}}

a = \frac{6*3}{\sqrt{3}}

a = \frac{18}{\sqrt{3}}

Now, finally, to find the area of a regular polygon, we use the following equation:

Area (A) = ( apothem (a) * perimeter (p) ) / 2

A = \frac{a * p}{2}

A = \frac{\frac{18}{\sqrt{3} }  * 72}{2}

A = \frac{18}{\sqrt{3}}  * 36

A = \frac{640}{\sqrt{3}}

Turning into a decimal:

A = 374.123 ft ^2

8 0
3 years ago
If f(×) = 3x + 7, which of these is the inverse of f(x)?​
Snowcat [4.5K]

Answer:

First equate 3x + 7 to any unknown

3x + 7 = P

Then make x the subject of the formula

3x + 7 = P

3x + 7-7= P-7

3x = P-7

3x ÷ 3 = (P-7) ÷ 3

x = (P-7) ÷3

Then interchange x with the unknown which I have as P

x = (P-7) ÷ 3

P = (x-7) ÷ 3

Then inverse of f(x)

is;

f-1(x) = (x-7) ÷ 3

Thank you.

BY GERALD GREAT.

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3 years ago
Solve for x:<br> - 8x – 4= -7x + 2
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X=6 is the answer for the problem
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3 years ago
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