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QveST [7]
2 years ago
7

Math hw please answer quickly i dont understand

Mathematics
1 answer:
zavuch27 [327]2 years ago
4 0

Answer:

See explanation

Step-by-step explanation:

Since she used only 1/2 of the recipe and the full recipe uses 1 cup, divide 1 by 2. The equation is 1/2=0.5.

For the lemon juice, the equation is 1/4 divided by 2. On the number line, make a dot at 1/4, and then travel backwards halfway. 1/4 divided by 2 is 1/8, or 0.125.

Hope this helps!

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The length of the top of a table is 3 m greater than the width. The area is 70 m^2. Find the dimensions of the table.
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Let's call the width x. Since the length is three more than the width, it is x+3.


The area (which we know to be 70) is given by the multiplication of width and length:


x(x+3) = 70 \iff x^2+3x = 70 \iff x^2+3x-70 = 0


To solve this equation, you can use the usual quadratic formula: given an equation ax^2+bx+c=0, the two solutions are


x_{1,2} = \frac{-b\pm\sqrt{b^2-4ac}}{2a}


which in your case becomes


x_{1,2} = \frac{-3\pm\sqrt{9+280}}{2}  = \frac{-3\pm 17}{2}


So, two solutions are


\frac{-3-17}{20} = -10,\qquad \frac{-3+17}{2} = 7


Since we can't accept a negative length, we only accept the second solution.


So, the dimensions are 7 and 10

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