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4 years ago

7

At a local department store, shirts have been reduced to $30. This price is at 60% of the original price for shirts. Gives this,

what was the original price of the shirts? Must show work

1 answer:

grigory [225]4 years ago

4 0

Answer:

75$

Step-by-step explanation:

30 divided by 40 equals 0.75 we do this because 30$ is 40%

then we multiply 0.75 by 100 which equals 75$

each 0.75 is equal to 1%

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10 subtracted from the quotient of a number and -3 is at least -1

Mazyrski [523]

<em><u>10 subtracted from the quotient of a number and -3 is at least -1 is:</u></em>

$\left(\frac{x}{-3}\right)-10\ge \:-1\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-27\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-27]\end{bmatrix}$

<em><u>Solution:</u></em>

<em><u>Given statement is:</u></em>

10 subtracted from the quotient of a number and -3 is at least -1

Quotient means reuslt of dividing two numbers

Let the number be "x"

quotient of a number and -3 = $\frac{x}{-3}$

Therefore,

10 subtracted from $\frac{x}{-3}$ is at least -1

at least means "less than or equal to"

<em><u>Which is translated into algebraic expression as:</u></em>

$(\frac{x}{-3}) - 10\geq -1$

<em><u>Solve the above inequality</u></em>

$\left(\frac{x}{-3}\right)-10\ge \:-1\\\\\mathrm{Add\:}10\mathrm{\:to\:both\:sides}\\\\\frac{x}{-3}-10+10\ge \:-1+10\\\\\mathrm{Simplify}\\\\\frac{x}{-3}\ge \:9\\\\Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)$

When we multiply or divide by negative number. we have to flip the inequality sign

$\frac{x\left(-1\right)}{-3}\le \:9\left(-1\right)\\\\\mathrm{Simplify}\\\\\frac{x}{3}\le \:-9\\\\\mathrm{Multiply\:both\:sides\:by\:}3\\\\\frac{3x}{3}\le \:3\left(-9\right)\\\\\mathrm{Simplify}\\\\x\le \:-27$

Thus the solution of inequality is found

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