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katen-ka-za [31]
4 years ago
7

Mrs cleaver mixes 1.24 liters of red paint with 3 times as much as blue paint to make purple paint. She pours the paint in 5 con

tainers. How much blue paint is in each container?
Mathematics
1 answer:
VladimirAG [237]4 years ago
5 0

Answer: There are 0.744\ liters of blue paint in each container.

Step-by-step explanation:

Let be "r" the liters  of red paint Mrs. Cleaver mixes to make purple paint and "b"  the liters of blue paint Mrs. Cleaver mixes to make purple paint.

According to the information given, you know that:

r=1.24

Since she mixes  this amount of red paint with 3 times as much as blue paint, you can write the following equation:

b=3r

Substituting the value of "r", you get that:

b=3(1.24)=3.72

Since she pours the paint in 5 containers, you must divide the value of "b" by 5, in  order to calculate how much blue paint is in each container. Then you get:

Blue\ paint\ in\ each\ container=\frac{3.72\ liters}{5}= 0.744\ liters

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The positive solution to the quadratic equation 2 x^{2}+3 x-8=0 is x = 1.39

<h3><u>Solution:</u></h3>

Given quadratic equation is 2 x^{2}+3 x-8=0

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Now comparing the general equation with the given equation we get

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<em><u>The formula to determine roots of the quadratic equation is:</u></em>

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On plugging in vlaues, we get

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On solving we get,

\begin{array}{l}{\mathrm{x}=\frac{-3 \pm \sqrt{9+64}}{4}} \\\\ {\mathrm{x}=\frac{-3 \pm \sqrt{73}}{4}}\end{array}

\mathrm{x}=\frac{-3+\sqrt{73}}{4} \text { OR } \mathrm{x}=\frac{-3-\sqrt{73}}{4}

x = 1.39  OR  x = -2.89  

Hence , the positive solution to the quadratic equation  is x = 1.39

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