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stellarik [79]
3 years ago
6

Hey 17% discount on a watch saved a shopper $51. Find the price of the watch before the discount

Mathematics
2 answers:
konstantin123 [22]3 years ago
7 0
Discount =17%=51 $(given)
Let the price be=x
So formula is
Discount%/100 *actual price =discount (in$)
17/100*x=51
X=51*100/17
X=300$
Hence the price of the watch is 300$
Nookie1986 [14]3 years ago
6 0
 <span>To rephrase the question,
17% of what is $51?

Let me give you a short way or formula.
is/of = %/100

is = 51
0f = x
%= 17%

51/x = 17/100
51*100 = x*17
5100= 17x
5100/17= x

so x = 300</span>
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We have a shape that has an area of 112 inches squared. Convert the units to centimeters squared. (HINT: Perform multiple conver
Andre45 [30]
<h3>Answer: 722.5792 square centimeters</h3>

Work Shown:

112 \text{ in}^2 = 112 \text{ in}^2 \times \frac{2.54 \text{ cm}}{1 \text{ in}} \times \frac{2.54 \text{ cm}}{1 \text{ in}}\\\\112 \text{ in}^2 = (112 \times 2.54 \times 2.54) \text{ cm}^2\\\\112 \text{ in}^2 = 112 \times (2.54)^2 \text{ cm}^2\\\\112 \text{ in}^2 = 722.5792 \text{ cm}^2\\\\

Notes:

  • 1 inch = 2.54 cm exactly
  • The conversion factor \frac{2.54 \text{ cm}}{1 \text{ in}} is used to convert from inches to cm. The inches unit in the denominator cancels with one of the inches unit from the original 112 square inches figure.
  • We use two identical copies of the same conversion factor to convert from square inches to square centimeters. This is the "multple conversion" your teacher is referring to.
  • Think of "square inches", aka \text{in}^2, as "inches times inches". Or think of a 1 inch by 1 inch square that has an area of 1 square inch. The same applies for the square centimeter unit as well.
5 0
1 year ago
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3 years ago
Ava bought some pens for $ 2 each and some pencils for $ 1 each. She bought 3 more pens than pencils and spent a total of $ 12.
Rudiy27

Answer:

Step-by-step explanation:

price of 1 pen= $ 2

price of 1 pencil= $1

total money spent= $12

Let the number of pen be a and number of pencil be b.

 2 a + b = 12   ----------------Equation 1

We have, she bought 3 more pens than pencils

  a - b = 3   ------------------  Equation 2

 Equation 1 +Equation 2,  

   2 a + b +  a - b = 12 + 3

                     3a = 15

                     a = 5

 Substituting in  equation

           5 - b = 3

               b = 2

 Number pencils Ava bought = 2

5 0
3 years ago
Math help please show work
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Answer:

Step-by-step explanation:

To overestimate the area would mean that you completely enclose the circle in squares; an 8 x 8 square to b exact. The area of a square with sides measuring 8 is 64. The overestimation is 64.

To underestimate the area would mean that you only count the squares that are completely inside the circle. That would be a 6 x 6 square (even though the 6th squares are a tiny bit outside the circle). A square with sides of 6 has an area of 36. The underestimation is 36.

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