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alexdok [17]
3 years ago
11

Daryl's Oreo factory is able to produce 3/4 tons of Oreos in 1 1/2 weeks. At this rate, how long will it take to produce 2

Mathematics
1 answer:
dolphi86 [110]3 years ago
5 0

\bf \begin{array}{ccll} tons&weeks\\ \cline{1-2}\\ \frac{3}{4}&1\frac{1}{2}\\\\ 2&x \end{array}\implies \cfrac{~~\frac{3}{4}~~}{2}=\cfrac{~~1\frac{1}{2}~~}{x}\implies \cfrac{~~\frac{3}{4}~~}{2}=\cfrac{~~\frac{3}{2}~~}{x}\implies \cfrac{~~\frac{3}{4}~~}{\frac{2}{1}}=\cfrac{~~\frac{3}{2}~~}{\frac{x}{1}} \\\\\\ \cfrac{3}{4}\cdot \cfrac{1}{2}=\cfrac{3}{2}\cdot \cfrac{1}{x}\implies \cfrac{3}{8}=\cfrac{3}{2x}\implies 6x=24\implies x=\cfrac{24}{6}\implies x=4

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2 years ago
Can anyone please help me in this
Alik [6]

These problems are called systems of equations. Basically you have two linear equations and you need to find the values for x and y. In other words, all these equation are lines and our answer will be the exact point that the pair of lines intersect. For example, if we get x=1 and y=2 the lines will intersect at point (1,2). Now that you have some background knowledge here comes the tricks and tactics kid.

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So what can we do? We have to make a two variable equation into a one variable equation.

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x+y=2

2y-y=1

3)  

-3x-5y=-7 -----> -12x-20y=-28

-4x-3y=-2 ------> -12x-9y=-6

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-(-12x-9y=-6)

---------------------

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y=2

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-3x=3

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4) 8x+4y=12 ---> 24x+12y=36

7x+3y=10 ---> 28x+12y=40

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---------------------

4x=4

x=1

8(1)+4y=12

4y=4

y=1

5) 4x+3y=-7

-2x-5y=7 ----> -4x-10y=14

    4x+3y=-7

+(-4x-10y=14)

-------------------

-7y=7

y=-1

4x+3(-1)=-7

4x=-4

x=-1

6) 8x-3y=-9 ---> 32x-12y=-36

5x+4y=12 ---> 15x+12y=36

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+(15x+12y=36)

--------------------

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x=0

8(0)-3y=-9

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-3y-1.5+5y=-2

2y=-0.5

y=0.25

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3 years ago
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matrenka [14]

Answer:

I know how to do it I'ma explain it step by step.

Step-by-step explanation:

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