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Pie
3 years ago
14

Rewrite the equation below so that it does not have fractions.

Mathematics
2 answers:
Eddi Din [679]3 years ago
6 0

15x = 48

Step-by-step explanation:

\begin{aligned}\rm\frac{3}{4}x-2&=\rm \frac{2}{5}\to(multiplied~by~20)\\\rm(20)\frac{3}{4}x-(20)2&=(20)\frac{2}{5}\\\rm 15x-40&=8\\\rm 15x&=8+40\\\rm 15x&=48\end{aligned}

lidiya [134]3 years ago
4 0

Answer:

\frac{15}{20} x-2=\frac{8}{20}

Step-by-step explanation:

\frac{3}{4} x-2=\frac{2}{5}

3/4 and 2/5 have a common denominator which is twenty so you can rewrite the equation with just knowing that

\frac{3}{4} =\frac{15}{20}

\frac{2}{5} =\frac{8}{20}

\frac{15}{20} x-2=\frac{8}{20}

You can then multiply both sides by twenty to solve this equation.

Hope this helps.

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What is the factored form of the polynomial z² − 10z + 25?
qwelly [4]

Answer:

( z - 5 ) ( z - 5 )

Step-by-step explanation:

z² − 10z + 25

= z² − 5z - 5z + 25

= z ( z - 5 ) - 5 ( z - 5 )

= ( z - 5 ) ( z - 5 )

3 0
3 years ago
Sara is working on a Geometry problem in her Algebra class. The problem requires Sara to use the two quadrilaterals below to ans
zloy xaker [14]
Part A:

Given a square with sides 6 and x + 4. Also, given a rectangle with sides 2 and 3x + 4

The perimeter of the square is given by 4(x + 4) = 4x + 16

The area of the rectangle is given by 2(2) + 2(3x + 4) = 4 + 6x + 8 = 6x + 12

For the perimeters to be the same

4x + 16 = 6x + 12
4x - 6x = 12 - 16
-2x = -4
x = -4 / -2 = 2

The value of x that makes the <span>perimeters of the quadrilaterals the same is 2.



Part B:

The area of the square is given by

Area=(x+4)^2=x^2+8x+16

The area of the rectangle is given by 2(3x + 4) = 6x + 8

For the areas to be the same

x^2+8x+16=6x+8 \\  \\ \Rightarrow x^2+8x-6x+16-8=0 \\  \\ \Rightarrow x^2+2x+8=0 \\  \\ \Rightarrow x= \frac{-2\pm\sqrt{2^2-4(8)}}{2}  \\  \\ = \frac{-2\pm\sqrt{4-32}}{2} = \frac{-2\pm\sqrt{-28}}{2}  \\  \\ = \frac{-2\pm2i\sqrt{7}}{2} =-1\pm i\sqrt{7}

Thus, there is no real value of x for which the area of the quadrilaterals will be the same.
</span>
7 0
3 years ago
David has 10 yd. Of material that he wiil cut into 15in. Thick mats. How many mats can David make?
Marysya12 [62]
<h2>Answer: He can make <u><em>24</em></u> mats.</h2>

Step-by-step explanation:

10 yards is equal to 360 inches. If you divided 360 inches by 15 inches, the answer will be 24. So the answer is 24 mats.

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2 years ago
4 Ayla s is paid $15 20 per hour for a 34 hour week. April has the same weekly pay but works 38
VashaNatasha [74]

Find Atlas weekly pay by multiplying rate by hours:

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Now to find Apri’s rate divide the weekly pay by hours:

516.80 / 38 =$13.60 per hour

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3 years ago
What are the focus and directrix of the parabola that is the graph of the function f(x)=x²?
Hitman42 [59]

Answer:

Step-by-step explanation:

Given

y=x^2

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so Focus of parabola is (0,0)

directrix

y=-a

here a=\frac{1}{4}

y=-\frac{1}{4}      

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3 years ago
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