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pochemuha
3 years ago
8

each paper clip is 3/4 of an inch long and costs 0.02 dollars. exactly enough paper clips are laid end to end to have a total le

ngth of 36 inches. what is the total cost of these paper clips?
Mathematics
2 answers:
Anastasy [175]3 years ago
7 0
36/0.75=48
48x0.02=0.96
the paperclips have a total of 0.96 dollars
vladimir2022 [97]3 years ago
5 0
If you would like to know what is the total cost of these paper clips, you can calculate this using the following steps:

36 inches / 3/4 inch = 36 / 3/4 = 36 * 4/3 = 48 paper clips

48 * $0.02 = $0.96

Result: The total cost of these paper clips is $0.96.
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3 years ago
A line and a circle intersect at the points A and B. Use the equations below to find the coordinates of the points of intersecti
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Answer:

<h2>A(-2, 2) and B(6, 10)</h2>

Step-by-step explanation:

Given the equation of a line y = x + 4 and equation of a circle as

( x − 3 )² + ( y − 5 )² = 34, if the line and the circle intersect at points A and B, to get this points, we will substitute the equation of the line into that of the circle as shown;

We will have to expand the equation of the circle first before making the substitute.

( x − 3 )² + ( y − 5 )² = 34

x²-6x+9+y²-10y+25 = 34

x²+y²-6x+-10y+34-34 = 0

x²+y²-6x+-10y = 0

Substituting y = x+ 4 into the resulting expression;

x²+(x+4)²-6x+-10y = 0

x²+x²+8x+16-6x+-10(x+4) = 0

x²+x²+8x+16-6x+-10x-40 = 0

2x²-8x-24 = 0

x²-4x-12 = 0

(x²-6x)+(2x-12) = 0

x(x-6)+2(x-6) = 0

x+2 = 0 and x-6 = 0

x = -2 and 6

when x = -2;

y = -2+4

y = 2

when x = 6

y = 6+4

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The coordinates of the point of intersection are A(-2, 2) and B(6, 10).

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4 years ago
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Answer:

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Step-by-step explanation:

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A.10(4+2) = 60

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Read 2 more answers
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