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madreJ [45]
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
Mathematics
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

4 0
4 years ago
The point (x,y) is first rotated 180 degrees clockwise about the origin, translated 6 units to the left, and then reflected acro
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Answer:

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