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harina [27]
3 years ago
11

Hey square piano has an area of 200 ft.² how long is each side of the piano to the nearest 0.05

Mathematics
1 answer:
sergey [27]3 years ago
4 0
Since all sides of the square are equal, therefore area of square can be calculated using the following rule:
area of square = side^2
200 = (side length)^2
therefore,
the length of each side is sqrt(200) = 14.14 ft
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3 years ago
30 POINTS NEED HELP
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a. The expression y=5x represent the number of small marbles she has.

b. The expression z=3x+2 represents the number of large marbles she has.

c. Amy has 310 small marbles, 62 medium marbles and  188 large marbles.

Step-by-step explanation:

a. Let x represent the number of medium marbles Amy has. Write an algebraic expression to represent the number of small marbles she has.

Medium marbles = x

Let,

Small marbles = y

According to given statement;

She has five times as many small marbles as medium marbles.

y = 5x        Eqn 1

The expression y=5x represent the number of small marbles she has.

b. Write an algebraic expression to represent the number of large marbles she has.

Let,

Large marbles = z

The number of large marbles is two more than three times the number of medium marbles.

z = 3x+2        Eqn 2

The expression z=3x+2 represents the number of large marbles she has.

c. If Amy has a total of 560 marbles, how many of each size does she have?

x+y+z= 560     Eqn 3

Putting value of y and z from Eqn 1 and 2 in Eqn 3

x+(5x)+(3x+2)=560\\x+5x+3x+2=560\\9x=560-2\\9x=558

Dividing both sides by 9

\frac{9x}{9}=\frac{558}{9}\\x=62

Putting x=62 in Eqn 1

y=5(62)\\y=310

Putting x=62 in Eqn 2

z=3(62)+2\\z=186+2\\z=188

Amy has 310 small marbles, 62 medium marbles and  188 large marbles.

Keywords: linear equation, substitution method

Learn more about substitution method at:

  • brainly.com/question/11416224
  • brainly.com/question/11638377

#LearnwithBrainly

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Mari is adding (-7) and (-2). She adds their absolute values and says the answer is 9.
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Answer:

ari is adding (-7) and (-2). She adds their absolute values and says the answer is 9.

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