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nlexa [21]
3 years ago
6

Find two positive numbers if their ratio is 8:5 and the difference is 150.

Mathematics
1 answer:
natima [27]3 years ago
7 0
Let's call the two numbers x and y. We can write a system of equations to describe the situation:

5x = 8y

x - y = 150

Let's solve the first equation for x:

x = 8y/5

Now we can use substitution to solve the system by plugging 8y/5 in for x in the second equation:

(8y/5) - y = 150

Simplify:

3y/5 = 150

3y = 750

y = 250

If y = 250, then x is:

x = 8(250)/5 = 400

The answer is 250 and 400.






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=4/3

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If 3 + root8 by 3-root8 + 3-root8 by 3+root8 = a+broot2 find a and b
s2008m [1.1K]

If \frac{3+\sqrt{8} }{3-\sqrt{8} } +\frac{3-\sqrt{8} }{3+\sqrt{8} }=a+b\sqrt{2}, the value of a and b is given as a = 34 and b = 0

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables or numbers.

\frac{3+\sqrt{8} }{3-\sqrt{8} } +\frac{3-\sqrt{8} }{3+\sqrt{8} }\\ \\\frac{9+6\sqrt{8}+8+9-6\sqrt{8}+8  }{(3-\sqrt{8} )(3+\sqrt{8} )} \\\\\frac{34}{9-8} =34+0\sqrt{2}

If \frac{3+\sqrt{8} }{3-\sqrt{8} } +\frac{3-\sqrt{8} }{3+\sqrt{8} }=a+b\sqrt{2}, the value of a and b is given as a = 34 and b = 0

Find out more on equation at: brainly.com/question/2972832

#SPJ1

8 0
2 years ago
Mookie Betts of the Boston Red Sox had the highest batting average for the 2018 Major League Baseball season. His average was 0.
Annette [7]

Answer:

Binomial probability, with n = 5, p = 0.352

Step-by-step explanation:

For each time Mookie Betts went to bat, there were only two possible outcomes. Either he got a base-hit, or he did not. The probability of getting a hit on each at-bat is independent of any other at-bat. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

His average was 0.352.

This means that p = 0.352

Assume he has five times at bat tonight in the Red Sox-Yankees game.

This means that n = 5

a. This is an example of what type of probability

Binomial probability, with n = 5, p = 0.352

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3 years ago
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Anna [14]

Answer:

C

Step-by-step explanation:

(-2x+9-3x-4)

-2x-3x+9-4

-5x+5

3 0
2 years ago
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