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4 years ago

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A fruit salad is made from pineapples, pears, and peaches mixed in the ratio of 2 to 3 to 5, respectively, by weight. What fract

ion of the mixture by weight is pineapple?
Can you explain this so I can understand how it works?

1 answer:

solniwko [45]4 years ago

4 0

2/10, is it that because you need to find how much fruit in total to calculate for the fraction, so 2+3+5= 10 so 10 will be you're bottom number. Then you need to look at how many pineapple there are to then make the fraction 2/10 because there are 2 pineapples out of the 10 fruits. Hope that helps!!

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4 years ago

What is the definite integral of log (tan x) with range from 90 to 0

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Substituting <em>x</em> with <em>π</em>/2 - <em>x</em> gives the equivalent integral,

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since cot(<em>x</em>) = 1/tan(<em>x</em>), which means

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3 years ago

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Leni [432]

Rearrange $x^6-98x^3=3375$ to give

$x^6-98x^3-3375=0$

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Rewrite the equation in terms of 'p'

$p^2-98p-3375 = 0$

where $a=1, b=-98, c=-3375$

using the quadratic formula $\frac{-b+ \sqrt{b^2-4ac} }{2a}$ and subsitute the value of $a, b, c$

$p_1= \frac{-(-98)+ \sqrt{(-98)^2-4(1)(-3375)} }{2} =125$

$p_2= \frac{-(-98)- \sqrt{(-98)^2-4(1)(-3375)} }{2} =-27$

There are two value of p; 125 and -27

Now we find the value of x

Earlier we substitute $x^3$ for $p$ and $x^6$ for $p^2$

When $p=125$ , $x= \sqrt[3]{125}=5$
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So the final answer is the two values of x;

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3 years ago