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Westkost [7]
3 years ago
9

Steven has a rectangular rug with a perimeter of 16 feet. The width of the rug is 5 feet.What is the length of the rug

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
5 0
The Length would be 3

5+5= 10
16-10 =6 / 2 =3

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Multiply: <br> <img src="https://tex.z-dn.net/?f=%5Cfrac%7B8n%5E%7B2%7D%20%7D%7Bm%5E%7B2%7D-16%20%7D" id="TexFormula1" title="\f
Mkey [24]

9514 1404 393

Answer:

  4mn/(3m+12)

Step-by-step explanation:

It is often helpful to factor expressions so that common factors can cancel.

  \dfrac{8n^2}{m^2-16}\times\dfrac{m^2-4m}{6n}=\dfrac{8mn^2(m-4)}{6n(m-4)(m+4)}=\dfrac{4mn}{3(m+4)}\\\\=\boxed{\dfrac{4mn}{3m+12}}

3 0
3 years ago
Express the product of (1/5x + 1) and (1/6x + 5/4) as a trinomial in simplest form
Greeley [361]
(\frac{1}{5}x+1)(\frac{1}{6}x+\frac{5}{4})

Use distributive property to remove the parentheses:

(a+b)(c+d)=ac+ad+bc+bd\begin{gathered} =\frac{1}{5}x*\frac{1}{6}x+\frac{1}{5}x*\frac{5}{4}+1*\frac{1}{6}x+1*\frac{5}{4} \\  \\ Multiplication\text{ }of\text{ }fractions: \\ \frac{a}{b}*\frac{c}{d}=\frac{a*c}{b*d} \\  \\ =\frac{1}{30}x^2+\frac{5}{20}x+\frac{1}{6}x+\frac{5}{4} \\  \\ =\frac{1}{30}x^2+\frac{1}{4}x+\frac{1}{6}x+\frac{5}{4} \\  \\ Addition\text{ }of\text{ }fractions: \\ \frac{a}{b}+\frac{c}{d}=\frac{ad+bc}{bd} \\  \\ =\frac{1}{30}x^2+(\frac{6x+4x}{24})+\frac{5}{4} \\  \\ =\frac{1}{30}x^2+\frac{10}{24}x+\frac{5}{4} \\  \\ Simplify: \\ =\frac{1}{30}x^2+\frac{5}{12}x+\frac{5}{4} \end{gathered}Then, the product in the simplest form is:\frac{1}{30}x^2+\frac{5}{12}x+\frac{5}{4}

8 0
1 year ago
If the sum of five consecutive even integers is 290, what is the smallest of the five integers?
PilotLPTM [1.2K]

So let n be the smallest number. To have consecutive even integers each number goes up by 2 so n, n+2, n+4, n+6, n+8.

Therefore, n+n+2+n+4+n+6+n+8=290

5n+20=290

5n=270

n=54

4 0
3 years ago
One angle of a triangle measures 95°. The other two angles are in a ratio of 8:9. What are the measures of those two angles?
Luba_88 [7]

Answer:

40 degrees and 45 degrees

Step-by-step explanation:

If you subtract 95 degrees from a 180-degree triangle, you are left with 85 degrees. To proportionally split them, find two values that add to the same value. Since 40 and 45 make up 80 and they multiply by two to make 80:90, these are the two measures.

8 0
3 years ago
What is the domain of the function shown in the mapping
Yuri [45]
The domain { x | x = -5 , -3 , 1 , 2 , 6}
5 0
3 years ago
Read 2 more answers
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