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My name is Ann [436]
3 years ago
13

a tv is on sale for 135. this is 65% of it original price. what is the original price as an algebraic equation

Mathematics
1 answer:
Tpy6a [65]3 years ago
6 0
I was not exactly sure how to do the math, so I just used the internet. According to the website I was on, 135 is 65% <span>207.69.</span>
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Y=2x-10 substitution <br> Y=4x
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X=5
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2x=10, then divide 2x on each side
x=5
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3 years ago
Simplify the expression ( csc y + cot y ) times ( csc y - cot y ) over csc y
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Learning Task 4. Solve the problem by applying the sum and product of roots
Delvig [45]

Answer:

<em>Thus, the dimensions of the metal plate are 10 dm and 8 dm.</em>

Step-by-step explanation:

For a quadratic equation:

x^2+bx+c=0

The sum of the roots is -b and the product is c. Note the leading coefficient is 1.

We know the perimeter of the rectangular metal plate is 36 dm and its area is 80 dm^2. Being L and W its dimensions, then:

P=2(L+W)=36

A=L.W=80

Note both formulas are closely related to the roots of the quadratic equation, we only need to adjust the data for the perimeter to be exactly the sum of L+W and not double of it.

Thus we use the semi perimeter instead as P/2=L+W=18

The quadratic equation is, then:

x^2-18x+80=0

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The solutions to the equation are:

x=10, x=8

Thus, the dimensions of the metal plate are 10 dm and 8 dm.

6 0
2 years ago
Riley’s Rug Warehouse purchases rugs from the manufacturer for $82.00 each. The manager marks the rugs up 150% and then includes
Volgvan

A customer will pay $225.5 for one rug.

Step-by-step explanation:

Given,

Purchase price of rug = $82.00

Mark up = 150%

Amount of mark up = 150% of purchase price

Amount of mark up = \frac{150}{100}*82

Amount of mark up = 1.5*82 = $123

Price of rug after mark up = Purchase price + Mark up

Price of rug after mark up = 82+123 = $205

Sales tax = 10%

Amount of sales tax = 10% of price after markup

Amount of sales tax = \frac{10}{100}*205=\$20.5

Selling price = Price after markup + Amount of sales tax

Selling price = 205+20.5 = $225.5

A customer will pay $225.5 for one rug.

Keywords: percentage, markup

Learn more about percentages at:

  • brainly.com/question/10717746
  • brainly.com/question/10736268

#LearnwithBrainly

5 0
3 years ago
Suppose you like to keep a jar of change on your desk. Currently, the jar contains the following:
antoniya [11.8K]

Answer:

The probability is 435/6,806

Step-by-step explanation:

Firstly, the total number of coins in the jar is

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The probability of selecting a dime is 15/83

Now we want to grab a nickel

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So the probability of selecting a nickel this time is

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So the total probability of the event in the described order is;

15/83 * 29/82

= 435/6,806

4 0
2 years ago
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