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Andrews [41]
3 years ago
6

What prefix means one hundreth

Mathematics
1 answer:
kupik [55]3 years ago
4 0
The prefix that means hundredth is centi
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1/2x + 1/3y = 7
pashok25 [27]

let's multiply both sides in each equation by the LCD of all fractions in it, thus doing away with the denominator.

\begin{cases} \cfrac{1}{2}x+\cfrac{1}{3}y&=7\\\\ \cfrac{1}{4}x+\cfrac{2}{3}y&=6 \end{cases}\implies \begin{cases} \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{6}}{6\left( \cfrac{1}{2}x+\cfrac{1}{3}y \right)=6(7)}\\\\ \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{12}}{12\left( \cfrac{1}{4}x+\cfrac{2}{3}y\right)=12(6)} \end{cases}\implies \begin{cases} 3x+2y=42\\ 3x+8y=72 \end{cases} \\\\[-0.35em] ~\dotfill

\bf \stackrel{\textit{using elimination}}{ \begin{array}{llll} 3x+2y=42&\times -1\implies &\begin{matrix} -3x \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~-2y=&-42\\ 3x+8y-72 &&~~\begin{matrix} 3x \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~+8y=&72\\ \cline{3-4}\\ &&~\hfill 6y=&30 \end{array}} \\\\\\ y=\cfrac{30}{6}\implies \blacktriangleright y=5 \blacktriangleleft \\\\[-0.35em] ~\dotfill

\bf \stackrel{\textit{substituting \underline{y} on the 1st equation}~\hfill }{3x+2(5)=42\implies 3x+10=42}\implies 3x=32 \\\\\\ x=\cfrac{32}{3}\implies \blacktriangleright x=10\frac{2}{3} \blacktriangleleft \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \left(10\frac{2}{3}~~,~~5 \right)~\hfill

7 0
3 years ago
Please answer the question from the attachment.
levacccp [35]
You just take 1000 and multiply it by .05. Its 50mL.
4 0
3 years ago
CAN SOMEBODY HELP AND DO THIS PLEASEEEEEEEEE
Keith_Richards [23]

Answer:

65

Step-by-step explanation:

180-115=65 bc all the lines are parallel.

7 0
2 years ago
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Joe's bill at grocery store came to $6.08 he paid with a $10 bill and a dime how much change do you get Joe's bill at the grocer
Levart [38]

Answer:

$4.02

Step-by-step explanation:

$10.10 - $6.08 = $4.02

7 0
3 years ago
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Find the length of the third side. If necessary,<br> round<br> to<br> the nearest tenth.<br> 4<br> 7
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Can you show a picture of the question
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3 years ago
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