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ra1l [238]
3 years ago
7

The discount on a toy is 40% the toy robot is on sale for $54 find the original price

Mathematics
2 answers:
maria [59]3 years ago
5 0

Answer:

The original price is $90.

Step-by-step explanation:

100% - 40% = 60%

\frac{54}{y} :\frac{60}{100}

y × 60 = 54 × 100

60y = 5400

60y ÷ 60 = 5400 ÷ 60

y = 90

Sidana [21]3 years ago
3 0

Answer:

90

Step-by-step explanation:

If the discount is 40%, we are still paying 100-40% or 60 %

original price * 60% = sale price

original price * .6 = 54

Divide each side by .6

original price = 54/.6

original price =90

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Read 2 more answers
X-23 / x^2 -x- 20 - 2/5-x
alexira [117]

By simplifying \[x - \frac{{23}}{{{x^2}}} - x - 20 - \frac{2}{5} - x\] . This will result in a simplified version of  \[ - \frac{{5{x^3} + 102{x^2} + 115}}{{5{x^2}}}\].

The Simplifying Algorithm is a wonderful way to simplify complex mathematics problems. It can be used to solve equations, convert fractions to decimals, and perform many other math operations. In this problem, the Simplifying Algorithm will help you reduce \[x - \frac{{23}}{{{x^2}}} - x - 20 - \frac{2}{5} - x\]

Since two opposites add up to 0, remove them from the expression.

\[ - \frac{{23}}{{{x^2}}} - \frac{{102}}{5} - x\]

Write all numerators above the least common denominator 5x2

\[ - \frac{{115 + 102{x^2} + 5{x^3}}}{{5{x^2}}}\]

Use the commutative property to reorder the terms so that constants on the left

\[\frac{{ - 5{x^3} - 115 - 102{x^2}}}{{5{x^2}}}\]

Rearrange the terms

\[\frac{{ - 5{x^3} - 102{x^2} - 115}}{{5{x^2}}}\]

By reording the terms

\[ - \frac{{5{x^3} + 102{x^2} + 115}}{{5{x^2}}}\]

Hence, by simplifying this equation, divide both numerator and denominator. This will result in a simplified version of  \[ - \frac{{5{x^3} + 102{x^2} + 115}}{{5{x^2}}}\].

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