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3 years ago

Write 2 1/4 as an improper fraction.

Mathematics

1 answer:

Vika [28.1K]3 years ago

3 0

Answer:

9/4

Step-by-step explanation:

First multiply denominator by the whole

That is: 4 x 2 = 8

Secondly, whatever answer you got add it to the numerator

That is: 8 + 1 = 9

Lastly, whatever answer you got, take that as the numerator and the denominator remains the same

That is: 9/4

Finally, this is your improper fraction of the number provided!

Hope it helps!!!

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Answer:

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Step-by-step explanation:

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3 years ago

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Draw the graphs of the equations x – y = 1 and 2x + y = 8. Shade the area bounded by these two lines and y-axis. Also, determine

NikAS [45]

Answer:

Using Geometry to answer the question would be the simplest:

Step-by-step explanation:

Remembering the formula for the area of a triangle which is $A=\frac12bh$ . One can then tackle the question by doing the following:

Step 1 Find the y-intercepts

The y-intercepts are found by substituting in $x=0$ .

Which gives you this when you plug it into both equations:

$-y=1\\y=-1\\y=8$

So the y-intercepts for the graphs are $(0,-1)\\$ , and $(0,8)$ respectively.

Now one has to use elimination to solve the problems by adding up the equations we get:

$x-y=1\\2x+y=8\\3x=9\\x=3$

Now to solve for the y component substitute:

$2(3)+y=8\\y=2$

Therefore, the graphs intersect at the following:

$(3,2)$

Now we have our triangle which is accompanied by the graph.

now to solve it we must figure out how long the base is:

$b=8-(-1)\\b=9$

The height must also be accounted for which is the following:

$h=3$

Now the formula can be used:

$A=\frac12bh=\frac12(9)(3)=\frac{27}2\ \text{units}^2$

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3 years ago

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A plot of 1/no2 versus time is linear. using this information, identify the factor by which the rate will increase in model (c)

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By differentiating, we get that A'=-b/(C+t)^2
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4 years ago

Which is a factor of 144 - 49x²? O 12-7x² O 72-7x² O 12-7x O 72 + 7x

lisabon 2012 [21]

Answer: C: 12-7x

Step-by-step explanation:

This expression is a good example of the difference of two squares, as 144 is the square of 12, while 49x² is the square of 7x.

Any difference of two squares $a^2-b^2$ can be factored into the sum of their square roots times the difference of their square roots $(a+b)(a-b)$ .