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wel
3 years ago
14

Help me simplify the following expression, show steps please

Mathematics
1 answer:
malfutka [58]3 years ago
4 0

\frac{2x^3y^3}{4y^2} = \frac{x^3y^3}{2y^2} = \frac{x^3y}{2}

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Area is Length x Width

Perimeter is 2L +2W
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Find the area of the following circles. a. A circle with a 8-inch radius b. A circle with a 10-kilometer radius c. A circle with
Thepotemich [5.8K]
Area of a circle is A= \pi r^2.  The first one, a, the radius squared is 8*8=64.  So A=64 \pi.  If you multiply in pi as 3.14, you'll have 200.96 square inches.  The second one, b, the radius squared is 10*10=100.  So A=100 \pi square kilometers.  If you multiply in pi as 3.14 you'll have 314 square kilometers.  The third one, c, the radius squared is 14*14=196.  So A=196 \pi yd^2.  Or you could multiply in pi as 3.14 to get 615.44 yd squared.  For the last one, d, the radius squared is 22*22=484 cm.  Therefore, A=484 \pi cm^2, or multiply in 3.14 for pi to get 1519.76 cm squared.  There you go!
5 0
3 years ago
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Joshua Treet had a $400.00 average monthly expenditure for entertainment during the second quarter of the year. He spent $401.50
irga5000 [103]
First, the formula for the average of a data set must be defined. It is calculated by adding all the numbers in the data set and then dividing the sum by the number of data. In this case, the average is set to be equal to $400 with the total number of data being 3, with the September expenditure set as an unknown, x. The equation is then set-up to be: 400 = (401.5 + 250 + x)/3. Thus, Joshua can spend as much as $ 548.5 to be able to have the same average as in his second quarter expenditure. 
4 0
3 years ago
Which is the right answer?
77julia77 [94]
Third (0,4)



Is the correct choice
8 0
2 years ago
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The area of the sandbox is 56 2/3 square feet. The width is 8 1/2 feet. What is the length? Hint: Divide area by length
sertanlavr [38]

Answer:

20/3 ft or 6 2/3 ft

Step-by-step explanation:

A = 56 2/3 sq ft

W = 8 1/2 ft

L = ?

A = LW

L = A/W

L = \dfrac{A}{W}

L = \dfrac{56~\frac{2}{3}~sq~ft}{8~\frac{1}{2}~ft}

Change the mixed numbers into fractions.

a\frac{b}{c} = \dfrac{ac + b}{c}

L = \dfrac{\frac{56 \times 3 + 2}{3}}{\frac{8 \times 2 + 1}{2}}

L = \dfrac{\frac{170}{3}}{\frac{17}{2}}

L = \dfrac{170}{3} \div \dfrac{17}{2}

L = \dfrac{170}{3} \times \dfrac{2}{17}

L = \dfrac{170 \times 2}{3 \times 17}

L = \dfrac{17 \times 10 \times 2}{3 \times 17}

L = \dfrac{10 \times 2}{3}

L = \dfrac{20}{3}

Answer: 20/3 ft or 6 2/3 ft

4 0
3 years ago
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