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Brrunno [24]
2 years ago
13

Tracey paid $374.25 for a new iPad. What was the original cost if the iPad was on sale for 25% off

Mathematics
1 answer:
Alexeev081 [22]2 years ago
8 0

Answer:

$467.8125

Step-by-step explanation:

Percentage increase = 25% × 374.25

New value = 374.25 + Percentage increase

New value =

374.25 + Percentage increase =

374.25 + (25% × 374.25) =

374.25 + 25% × 374.25 =

(1 + 25%) × 374.25 =

(100% + 25%) × 374.25 =

125% × 374.25 =

125 ÷ 100 × 374.25 =

125 × 374.25 ÷ 100 =

46,781.25 ÷ 100 =

467.8125 ≈

467.81

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Pick 2 pairs of equations t<span>hen use addition and subtraction to eliminate </span>the same variable<span> from both pairs of equations then it is left with 2 variables 
</span>Pick two pairs
<span><span>4x - 3y + z = - 10</span><span>2x + y + 3z = 0
</span></span>eliminate the same variable from each system
<span><span>4x - 3y + z = - 10</span> 
<span>2x + y + 3z = 0</span> 

<span>4x - 3y + z = - 10</span> 
<span>-4x - 2y - 6z = 0</span> 

<span>-5y - 5z = - 10</span> 

<span>2x + y + 3z = 0</span> 
<span>- x + 2y - 5z = 17</span> 

<span>2x + y + 3z = 0</span> 
<span>-2x + 4y - 10z = 34</span> 

<span>5y - 7z = 34
</span></span>Solve the system of the two new equations:
<span><span>-5y - 5z = - 10</span> 
<span>5y - 7z = 34</span> 

<span>-12z = 24</span> 
which is , <span>z = - 2</span> 

<span>-5y - 5(- 2) = - 10</span> 
<span>-5y = - 20</span> 
wich is , <span>y = 4
</span></span>substitute into one of the original equations
<span>- x + 2y - 5z = 17</span> 
<span>- x + 2(4) - 5(- 2) = 17</span> 
<span>- x + 18 = 17</span> 
<span>- x = - 1</span> 
<span>x = 1</span> 
<span>which is , </span><span>(x, y, z) = (1, 4, - 2)</span><span> 
</span>Does 2(1) + 4 + 3(- 2) = 0<span> ? Yes</span><span>

</span>
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3 years ago
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