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Aloiza [94]
3 years ago
7

Shu mixes 2/3 pound of peanuts with 1/3 pound of almonds. How many pounds of nuts does Shu mix?

Mathematics
2 answers:
Whitepunk [10]3 years ago
6 0
1 pound  2/3 + 1/3 = 3/3  simplify to get 1
maw [93]3 years ago
4 0
All you have to do is add the two fractions. Because both already have the same denominator, we can add right away. Set the fractions up and add straight across (the numerators). 2 plus 1 equals 3. For the denominator, you don't add, you leave it the same. So like I said, the numerator is 3, and the denominator will stay the same (3). So your answer is 3/3, simplified to 1. To simplify you just divide both by the same number (I used 3). Hope this helps :)
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Obtain the general solution to the equation. (x^2+10) + xy = 4x=0 The general solution is y(x) = ignoring lost solutions, if any
alukav5142 [94]

Answer:

y(x)=4+\frac{C}{\sqrt{x^2+10}}

Step-by-step explanation:

We are given that a differential equation

(x^2+10)y'+xy-4x=0

We have to find the general solution of given differential equation

y'+\frac{x}{x^2+10}y-\frac{4x}{x^2+10}=0

y'+\frac{x}{x^2+10}y=4\frac{x}{x^2+10}

Compare with

y'+P(x) y=Q(x)

We get

P(x)=\frac{x}{x^2+10}

Q(x)=\frac{4x}{x^2+10}

I.F=e^{\int\frac{x}{x^2+10} dx}=e^{\frac{1}{2}ln(x^2+10)}

e^{ln\sqrt(x^2+10)}=\sqrt{x^2+10}

y\cdot \sqrt{x^2+10}=\int \frac{4x}{x^2+10}\times \sqrt{x^2+10} dx+C

y\cdot \sqrt{x^2+10}=\int \frac{4x}{\sqrt{x^2+10}}+C

y\cdot \sqrt{x^2+10}=4\sqrt{x^2+10}+C

y(x)=4+\frac{C}{\sqrt{x^2+10}}

6 0
3 years ago
If a number is divisible by 2,5,9 what is one digit of the number
Fudgin [204]

Answer:

the lcm of the three factors will be one digit of the number

Step-by-step explanation:

4 0
3 years ago
If the nucleus of an atom contains 12 protons, how many electrons are there in a neutral atom?
Cloud [144]

Answer:

An atom of sodium has 11 proton, 11 electrons, and 12 neutrons.

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3 years ago
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A die is thrown . find the probability of (1) a multiple of 2 or 3​
tangare [24]

Answer:

A die is thrown which means that it can land on either 1-6 on the die.So if you want to find the probability of the multiple of 2 or 3....we have multiplies of 2 in the die from 1-6 which is 2,4 and 6 if you count them they are just 3 numbers and since there is a probability of it to land on any of them it will be 3/6 which is 1/2 if yiu divide by 3 to it's lowest term....Then multiple of 3 is 3,and 6.which will be 2/6 which is 1/3 if u cut to its lowest term. Or in the question means addition sign in probability then it is 2 or 3 which is (1/2)+(1/3)=5/6.Thank you for the question

7 0
3 years ago
Martha filled a bowl with 0.5 cup of flour and 0.75 cup of milk. To the nearest cup, how many cups of ingredients were in the bo
Damm [24]
0.5 + 0.75 = 1.25

1.25 rounds off to 1.
7 0
3 years ago
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