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blsea [12.9K]
3 years ago
10

If a playground is 30 3/4 feet by 20 1/2 feet in dimension, what is the perimeter of the playground?

Mathematics
1 answer:
Murrr4er [49]3 years ago
4 0

Answer:

102 1/2 feet

Step-by-step explanation:

assuming that the perimeter is a rectangle, you add 30 3/4 + 30 3/4, which are two sides, and 20 1/2 + 20 1/2, which are the other two sides, and when you add the sums of those two equations together, you get the perimeter, therefore, the answer is the perimeter, 102 1/2 feet.

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Find the probability of rolling a 5 or greater on the first die and a 2 or greater on the second die
bekas [8.4K]

Answer:

The probability is 1/9

Step-by-step explanation:

The probability of rolling a 5 the first time is 1/6

The probability of rolling a number greater than 2

Numbers greater than 2 are 3, 4, 5, 6

So the probability of rolling a number out of these four is 4/6

So the probability of rolling a five for the first time and the probability of rolling a number greater than 2 the second time will be

1/6 * 4/6 = 4/36 = 1/9

6 0
3 years ago
Read 2 more answers
Marco can finish a jigsaw puzzle in 3 hours. Working together with Cliff, it takes them 1 hour. How
vovikov84 [41]

Macro can finish the puzzle in 3 hours. We can say that her speed for working is 1/3 or 1/3 puzzle per hour.

Now if they work together, this turns into 1 puzzle per hour.

That must mean that Cliff would be doing the other 2/3 of the puzzle while Macro does his 1/3 in that hour. If Cliff has a speed of doing them 2/3 per hour. Then it would take 1 and a half hour to finish 1 whole puzzle.

3 0
3 years ago
3 L of water of density 1 gram per centimetre cubed is added to 12litres of alcohol of density of 0.8 gram per centimetre cubed,
Natasha2012 [34]

Answer:

84%

Step-by-step explanation:

each liter is 1000 cubic centimetre, so you have a total density of 3000, but instead think of 3 liters being 100% density and think of alcohol as 80% density, there are 4 times at much 80% than 100% liquid.

with 3 liters of alcohol, 3 liters of water is now 90% density or 0.9 gram per centimetre. add another 3 liters and it is 2/3, so the grams per centimetre would be 8.66667 or 8 2/3's

if you add another 3 liters, THEN it is 85%

add 12 liters in total and the final answer 84%

4 0
3 years ago
How do you simplify this?<br>x²y+xy² / y²+2/5 × xy​​​
polet [3.4K]

\huge \boxed{\mathbb{QUESTION} \downarrow}

  • How do you simplify this?
  • x²y+xy² / y²+2/5 × xy

\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}

\sf\frac{  { x  }^{ 2  }  y+x { y  }^{ 2  }    }{  { y  }^{ 2  }  + \frac{ 2  }{ 5  }   \times  xy  } \\

Factor the expressions that are not already factored.

_____

<u>How </u><u>to</u><u> factorise</u><u> </u><u>:</u><u>-</u>

<u>NUMERATOR</u> \downarrow

\sf \: x ^ { 2 } y + x y ^ { 2 }

Factor out xy.

\sf \: xy\left(x+y\right)

<u>DENOMINATOR</u> \downarrow

\sf{ y  }^{ 2  }  + \frac{ 2  }{ 5  }   \times  xy \\

Factor out 1/5.

\sf \: {\frac{1}{5}y\left(2x+5y\right)}  \\

_____

Continuing...

\sf\frac{xy\left(x+y\right)}{\frac{1}{5}y\left(2x+5y\right)}  \\

Cancel out y in both the numerator and denominator.

\sf\frac{x\left(x+y\right)}{\frac{1}{5}\left(2x+5y\right)}  \\

Expand the expression.

\sf\frac{x^{2}+xy}{\frac{2}{5}x+y}  \\

This can further simplified to as \downarrow

=    \boxed{\boxed{\bf\frac{5x\left(x  +y\right)}{2x+5y}}}

3 0
3 years ago
What is the solution to the equation x/3+x/6=7/2
Alchen [17]

Answer:

x = y

Step-by-step explanation:

x/3 + x/6 = 7/2

2x + x = 21

3x = 21

(divide 3 on both sides)

x = 7

5 0
2 years ago
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