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Alex787 [66]
3 years ago
9

9 and 5/12 - 3 and 2/3

Mathematics
1 answer:
lana [24]3 years ago
5 0
Recall to always convert the mixed fractions to "improper" fractions first,

\bf \stackrel{mixed}{9\frac{5}{12}}\implies \cfrac{9\cdot 12+5}{12}\implies \stackrel{improper}{\cfrac{113}{12}}
\\\\\\
\stackrel{mixed}{3\frac{2}{3}}\implies \cfrac{3\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{11}{3}}\\\\
-------------------------------\\\\
\cfrac{113}{12}-\cfrac{11}{3}\impliedby \textit{clearly our LCD is 12}\implies \cfrac{113-(4)11}{12}
\\\\\\
\cfrac{113-44}{12}\implies \cfrac{69}{12}\implies 5\frac{9}{12}
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How can you solve 25% of 44 both mentally and with pencil and paper?
STALIN [3.7K]

Answer:

<u>Solving it mentally</u> :-

It says 25% × 44. When we have a percent, change it to decimal and solve which would be easy to do it mentally.

25% = 0.25

0.25 × 44 = 11 *Answer is bolded.*

<u>Solving it on paper</u> :-

I have attached a picture of me doing it on paper.

Hope this helps, thank you :) !!

3 0
3 years ago
There are 45 new houses being built in a neighborhood. Last month 1/3 of them were sold. This month 2/5 of the remaining houses
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Answer:

total=45

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Read 2 more answers
Write the equation of the line that passes through the point (-2, 7) and is PARALLEL to the line y = -4x + 1.​
qwelly [4]

Answer:

The equation is y=x-9

Step-by-step explanation:

If we want a line parallel to the line in the problem it will have the same slope. The equation given in the problem is already in slope intercept form so we can take the slope for the new equation directly from this equation.

The slope-intercept form of a linear equation is:  y=mx+b

Where  m  is the slope and  b  is the y-intercept value.  

y=1x-2

Therefore the slope is  

m=1

We can now use the point-slope formula to write the equation of the parallel line:

The point-slope formula states:  

(y-y1)=m(x-x1)

Where  m  is the slope and  (x1,y1) is a point the line passes through.  

Substituting the information from the problem gives:

(y- (-7)=1(x-2)

(y+7)=1(x-2)

Or, we can solve for  y  to put the equation in slope-intercept form:

y+7=x-2

y+7-7=x-2-7

y+0=x-9

y=x-9

3 0
3 years ago
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