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kirza4 [7]
2 years ago
13

The ratio cost proce profit is 100:30:130 if the profit is $24 what is the selling price

Mathematics
1 answer:
rosijanka [135]2 years ago
6 0

hope \: this \: helps \: you

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x=-1

Step-by-step explanation:

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Lily is cutting a piece of yarn into 3 (three) pieces. The 2nd piece is 3 times as long as the 1st piece, while the 3rd piece is
STatiana [176]

Answer:

The length of the first piece = 41 cm

Step-by-step explanation:

Let the length of the first piece = a

Let the length of the second piece = b

Let the length of the third piece = c

we are given the following:

b = 3a . . . . . (1)     (The 2nd piece is 3 times as long as the 1st piece)

c = 6 + a  . . . . (2)    (the 3rd piece is 6 centimeters longer than the 1st piece)

a + b + c = 211 . . . . . (3)    (  the yarn has a total length of 211 centimeters)

Next, let us eliminate two variables, and this can easily be done by substituting the values of b and c in equations 1 and 2 into equation 3. this is done as follows:

a + b + c = 211

a + (3a) + (6 + a) = 211       ( remember that   b = 3a; c = 6 + a)

a + 3a + 6 + a = 211

5a + 6 = 211

5a = 211 - 6 = 205

5a = 205

∴ a = 205 ÷ 5 = 41 cm

a = 41 cm

Therefore the length of the first piece (a) = 41 cm

now  finding b and c

substituting a into equation 1 and 2

b = 3a

b = 3 × 41 = 123

∴ b = 123 cm

c = 6 + a

c = 6 + 41 = 47

∴ c = 47 cm

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Kira's store collects 5% sales tax on every item sold. If she collected $22 in sales tax, what was the cost of the items her sto
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48

Step-by-step explanation:

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The answer for this question is C

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Which equation represents the line that passes through the points (-5,2) and (9,0)
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Step-by-step explanation:

<em>Given </em><em>points </em>

<em>(</em><em> </em><em>-</em><em>5</em><em> </em><em>,</em><em> </em><em>2</em><em>)</em><em> </em><em>and </em><em>(</em><em>9</em><em> </em><em>,</em><em> </em><em>0</em><em>)</em>

<em>First </em><em>calculating </em><em>slope(</em><em>m</em><em>)</em>

<em>=</em><em> </em><em>(</em><em> </em><em>y2 </em><em>-</em><em> </em><em>y1</em><em>) </em><em> </em><em>/</em><em> </em><em>(</em><em> </em><em>x2 </em><em>-</em><em> </em><em>x1</em><em>) </em>

<em>=</em><em> </em><em>(</em><em> </em><em>0</em><em>-</em><em>2</em><em>)</em><em> </em><em>/</em><em> </em><em>(</em><em> </em><em>9</em><em>+</em><em>5</em><em>)</em>

<em>=</em><em> </em><em>-</em><em>2</em><em> </em><em>/</em><em> </em><em>1</em><em>4</em>

<em>=</em><em> </em><em>-</em><em>1</em><em>/</em><em>7</em>

<em>Now </em><em>The </em><em>equation </em><em>of </em><em>line </em><em>is </em><em>given </em><em>by </em>

<em>y </em><em>-</em><em> </em><em>y1 </em><em>=</em><em> </em><em>m </em><em>(</em><em> </em><em>x </em><em>-</em><em> </em><em>x1) </em>

<em>y </em><em>-</em><em>2</em><em> </em><em>=</em><em> </em><em>-</em><em>1</em><em>/</em><em>7</em><em> </em><em>(</em><em>x </em><em>+</em><em> </em><em>5</em><em>)</em>

<em>7</em><em>(</em><em> </em><em>y </em><em>-</em><em> </em><em>2</em><em>)</em><em> </em><em>=</em><em> </em><em>-</em><em>1</em><em>(</em><em>x</em><em> </em><em>+</em><em> </em><em>5</em><em>)</em>

<em>7y </em><em>-</em><em> </em><em>1</em><em>4</em><em> </em><em>=</em><em> </em><em>-</em><em>x </em><em>-</em><em>5</em>

<em>x </em><em>+</em><em> </em><em>7y </em><em>-</em><em>1</em><em>4</em><em> </em><em>+</em><em>5</em><em> </em><em>=</em><em> </em><em>0</em>

<em>x </em><em>+</em><em> </em><em>7y </em><em>-</em><em> </em><em>9</em><em> </em><em>=</em><em> </em><em>0</em><em> </em>

<em>Which </em><em>is </em><em>the </em><em>required </em><em>equation </em>

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