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3 years ago

A sweatshirt is discounted 30%. If the discount is $9, what was the original price of the sweatshirt? Please show your work.

Mathematics

1 answer:

ArbitrLikvidat [17]3 years ago

6 0

Answer:

$30

Step-by-step explanation:

Let the price of sweatshirt be $x.

Discount percentage = 30%

Discount in dollars = 30% of $x

Discount in dollars = 30/100 of $x = $ 30x/100

Given that discount in $ is 9

thus

30x/100 = 9

x = 9*100/30 = 30

Thus, the original price is $30

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2 years ago

The line plot shows the weights of packages of meat available at a grocery store. The 3 lightest packages cost $4.40 per pound.

Mnenie [13.5K]

Answer:

$42.40

Step-by-step explanation:

The horizontal axis is in fractions.

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7 0

3 years ago

Show all work and provide necessary descriptions

masya89 [10]

Let

$P=(P_x,P_y),\quad Q=(Q_x,Q_y)$

If M is the midpoint, the x and y coordinates of M are the average of the x and y coordinates of P and Q:

$M=\left(\dfrac{P_x+Q_x}{2},\ \dfrac{P_y+Q_y}{2}\right)$

We can solve this expression for the coordinates of Q:

$M_x = \dfrac{P_x+Q_x}{2} \implies Q_x = 2M_x-P_x$

$M_y = \dfrac{P_y+Q_y}{2} \implies Q_y = 2M_y-P_y$

Plug in the values for the coordinates of M and P to get

$Q_x = 2M_x-P_x = 2\cdot 5-11 = 10-11=-1$

$Q_y = 2M_y-P_y = 2\cdot (-2) - (-10) = -4+10=6$

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3 years ago