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MariettaO [177]
3 years ago
9

The width of a rectangle is five more than two times the length. The perimeter of the rectangle is 106 inches. What are the dime

nsions of the rectangle?
Mathematics
1 answer:
schepotkina [342]3 years ago
3 0
Say, width = x

length = 2x +5

(x+2x+5)*2= 6x+10

6x+10=106

x= 96/6=16

Width =16 Mt
Length =37 mt
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A brand of cereal had 1.2 milligrams (mg) of iron per serving. Then they changed their recipe so they had 1.8 milligrams (mg) of
Pavel [41]

Answer:

The percent increase in iron = 50 %

Step-by-step explanation:

Initial amount of iron per serving = 1.2 mg

After an increase the amount of iron per serving = 1.8 mg

Increase in  the amount of iron per serving = 1.8 - 1.2 = 0.6 mg

Percent increase in iron is calculated as

% increase = \frac{Final amont - initial amount }{initial amount}Change = \frac{Final \ amount - initial \ amount }{initial \ amount} (100)

Put the values in above formula we get

\frac{0.6}{1.2} (100) =   50 %

Therefore the percent increase in iron = 50 %

5 0
3 years ago
Complete the table by converting each decimal to a fraction.
AlekseyPX

if you've read those links already, you'd know what we're doing here.

we'll move the repeating part to the left-side of the dot, by multiplying by "1" and as many zeros as needed, or 10 at some power pretty much.

on 0.13 we need 100 to get 13.13.... and on 0.1234, we need 10000 to get 1234.1234....


\bf 0.\overline{13}~\hspace{10em}x=0.\overline{13}
\\\\[-0.35em]
~\dotfill\\\\
\begin{array}{|lll|ll}
\cline{1-3}
&&\\
100\cdot 0.\overline{13}& = & 13.\overline{13}\\
100\cdot x&& 13 + 0.\overline{13}\\
100x&&13+x
\\&&\\
\cline{1-3}
\end{array}\implies \begin{array}{llll}
100x=13+x\implies 99x=13
\\\\
x=\cfrac{13}{99}
\end{array}
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
0.\overline{1234}~\hspace{10em}x=0.\overline{1234}
\\\\[-0.35em]
~\dotfill


\bf \begin{array}{|ccc|ll}
\cline{1-3}
&&\\
10000\cdot 0.\overline{1234}&=&1234.\overline{1234}\\
10000\cdot x&=&1234+0.\overline{1234}\\
10000x&=&1234+x
\\&&\\
\cline{1-3}
\end{array}\implies \begin{array}{llll}
10000x=1234+x
\\\\
9999x=1234\implies x=\cfrac{1234}{9999}
\end{array}

7 0
3 years ago
Read 2 more answers
(10x – 3 + 7x2) + (x3 – 2x + 17)
igor_vitrenko [27]

Answer:

Step-by-step explanation:

4 0
3 years ago
<img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20%5Csqrt%7Bx%7D%20" id="TexFormula1" title="f(x) = \sqrt{x} " alt="f(x) =
Georgia [21]

Answer:    \dfrac{1}{2\sqrt x}

<u>Step-by-step explanation:</u>

\lim_{h \to 0} f(x)=\dfrac{f(x+h)-f(x)}{h}

f(x) = \sqrt x\\

f(x+h) = \sqrt{x+h}

\lim_{h \to 0} f(x)=\dfrac{\sqrt{x+h}-\sqrt x}{h}

                   =\dfrac{\sqrt{x+h}-\sqrt x}{h}\bigg(\dfrac{\sqrt{x+h}+\sqrt x}{\sqrt{x+h}+\sqrt x}\bigg)

                   =\dfrac{(x + h)-(x)}{h(\sqrt{x+h}+\sqrt x)}

                   =\dfrac{h}{h(\sqrt{x+h}+\sqrt x)}

                   =\dfrac{1}{\sqrt{x+h}+\sqrt x}

                  =\dfrac{1}{\sqrt{x+0}+\sqrt x}

                  =\dfrac{1}{2\sqrt x}

4 0
4 years ago
What is the greatest common factor of 343, 49, and 196? 49 14 7 343 3?
S_A_V [24]
From the prime factorization of 49, we get 7*7. From 196, we get <span>2*2*7*7. From 343, we get 7*7*7. The greatest "overlap" or common factors are 7*7, or 49.</span>

Thus, the greatest common factor is 49.
4 0
3 years ago
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