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Scorpion4ik [409]
2 years ago
7

Pls help i don't know Anymore​

Mathematics
1 answer:
ch4aika [34]2 years ago
8 0

1/3

本题已由中国数学会官方解答(现有会员:2人)

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A rectangular rug has an area of 84 square feet. If its length is 2 feet more than twice its​ width, find the dimensions of the
weeeeeb [17]

L=2W+2

W=(L-2)/2

A=LW, using W from above makes this

A=L(L-2)/2

2A=L^2-2L

L^2-2L-2A=0, given A=84

L^2-2L-168=0

(L-14)(L+12)=0, since L>0

L=14

The length of the rug is 14 ft

(W=(L-2)/2=6 ft)

3 0
3 years ago
Simplify the following expression completely, where x is greater than or equal too 0.
Dennis_Churaev [7]
First you want the numbers under the radical to be the same so you can combine like terms.

x \sqrt{5xy^4} =x \sqrt{5x*^4y} = xy^2 \sqrt{5x}
\sqrt{405x^3y^4} =  \sqrt{5x*81x^2y^4} =9xy^2 \sqrt{5x}
\sqrt{80x^3y^4} =  \sqrt{5x*16x^2y^4} = 4xy^2 \sqrt{5x}

Now add together to get 14xy^2 \sqrt{5x}
7 0
3 years ago
Read 2 more answers
13. The center of a circle is at (7,-2) and the
LenaWriter [7]

Answer:

A

Step-by-step explanation

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3 years ago
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A 5-gallon jug of cleaning solution contains 6% bleach. How much pure water should be added to it to dilute to 4% bleach?
mihalych1998 [28]
Let's bear in mind that 5 gallons with a solution of 6% bleach, contains some water plus some bleach, how much bleach?  well, is just 6% of 5 gallons or namely (6/100) * 5 gallons, or 0.30 gallons.

if we use "x" gallons of water, well pure water has no bleach, so is 0% bleach, and it has a (0/100) * x or 0x gallons of bleach.

the mixture will be say "y" gallons, and is 4% bleach, so (4/100) * y is 0.04y gallons in the mixture of bleach.

\bf \begin{array}{lcccl}
&\stackrel{gallons}{quantity}&\stackrel{\textit{\% of bleach}}{amount}&\stackrel{\textit{gallons of bleach}}{amount}\\
&------&------&------\\
\textit{pure water}&x&0.00&0x\\
\textit{6\% solution}&5&0.06&0.3\\
-----&------&------&------\\
mixture&y&0.04&0.04y
\end{array}
\\\\\\
\begin{cases}
x+5=\boxed{y}\\
0x+0.3=0.04y\\
---------\\
0.3=0.04\left( \boxed{x+5} \right)
\end{cases}
\\\\\\
0.3=0.04x+0.2\implies 0.1=0.04x\implies \cfrac{0.1}{0.04}=x\implies 2.5=x
3 0
3 years ago
The value of the exponent in (22)−5<br><br>is​
lyudmila [28]

Answer:

Let's calculate:

22-5

• Remove minus in the exponent and invert the base:

= (1/22)5

• Expand the multiplication:

= (1/22) * (1/22) * (1/22) * (1/22) * (1/22)

• Find your result:

= 1/5153632 ≈ 0.000000194038

3 0
3 years ago
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