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kobusy [5.1K]
3 years ago
7

Write an equation to represent this situation and answer the question

Mathematics
1 answer:
il63 [147K]3 years ago
7 0
The equation would be x+3x(10+2x)=142
The sides are 22cm , 54cm and 66 cm.
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Can 3.65909090909 be expressed as a fraction whose denominator is a power of 10? Explain.
GuDViN [60]
\bf 3.659\textit{ can also be written as }\cfrac{3659}{1000}\textit{ therefore }3.6590909\overline{09}\\\\
\textit{can be written as }\cfrac{3659.0909\overline{09}}{1000}

notice above, all we did, was isolate the "recurring part" to the right of the decimal point, so the repeating 09, ended up on the right of it.

now, let's say, "x" is a variable whose value is the recurring part, therefore then

\bf \cfrac{3659.0909\overline{09}}{1000}\qquad \boxed{x=0.0909\overline{09}} \qquad \cfrac{3659+0.0909\overline{09}}{1000}\implies \cfrac{3659+x}{1000}

now, the idea behind the recurring part is that, we then, once we have it all to the right of the dot, we multiply it by some power of 10, so that it moves it "once" to the left of it, well, the recurring part is 09, is two digits, so let's multiply it by 100 then, 

\bf \begin{array}{llllllll}
100x&=&09.0909\overline{09}\\
&&9+0.0909\overline{09}\\
&&9+x
\end{array}\quad \implies 100x=9+x\implies 99x=9
\\\\\\
x=\cfrac{9}{99}\implies \boxed{x=\cfrac{1}{11}}\\\\
-------------------------------\\\\
\cfrac{3659.0909\overline{09}}{1000}\qquad \boxed{x=0.0909\overline{09}} \quad \cfrac{3659+0.0909\overline{09}}{1000}\implies \cfrac{3659+x}{1000}
\\\\\\
\cfrac{3659+\frac{1}{11}}{1000}

and you can check that in your calculator.
8 0
3 years ago
PLS HELP ASAP GIVE BRAINLIEST TO PERSON WHO ANSWER CORRECTLY
kirill115 [55]

Answer:

OK the 1st answer is data and the 2nd answer is data point I am so sorry if I get it if I got it wrong I am trying my hardest right now I'm only in 8th grade it is so hard for me and I still need help on questions to but you seem like a great person I am sorry if I got it wrong I tried to hurry

6 0
2 years ago
Read 2 more answers
What is 9/10 divided by -3/5 as a mixed number
solong [7]
Its -1.5 or in other fraction form its -1 1/2.......hope that helps
5 0
3 years ago
Read 2 more answers
How long will it take to travel 200km traveling 10 m/s
jolli1 [7]

Answer:

time = distance / speed

time = 200/10

= 20

Step-by-step explanation:

6 0
3 years ago
The length of a rectangular deck is 5 times its width. If the deck’s perimeter is 24 feet, what is the deck’s area?
spayn [35]

Answer:

20ft²

Step-by-step explanation:

Let the length = L

Let the width = W

Perimeter of a rectangle = 2L + 2W

Translating the word problem into an algebraic equation, we have;

L = 5W .......equation 1

2L + 2W = 24 ........equation 2

To find the width

Substituting equation 1 into equation 2, we have;

2(5W) + 2W = 24

10W + 2W = 24

12W = 24

W = 24/12

Width, W = 2 ft

To find the length;

Substituting the value of "W" into equation 1, we have;

L = 5W

L = 5*2

L = 10 ft

To find the area of the rectangle;

Area = LW

Area = 10*2

<em>Area = 20 ft²</em>

Therefore, the deck's area is 20 feet square.

5 0
3 years ago
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