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kow [346]
3 years ago
11

one-third of a number x is equal to 22 less than the number. Write and solve an equation to find the number.

Mathematics
1 answer:
Debora [2.8K]3 years ago
3 0

1  \div 3x = 22 - x
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1/3 of 7 as a fraction
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Hey There! Whoever we see the keyword “of”, we know that it’s multiplication Therefore we’re multiplying 1/3 and 7/1 that gives us 7/3

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2,2,2,2,3,5,7,9,9,10,11,12,18 find the median​
Natasha2012 [34]

Answer:

median = 7

Step-by-step explanation:

The median is the middle value of the data set arranged in ascending order

2, 2, 2, 2, 3, 5, 7, 9, 9, 10, 11, 12, 18

                        ↑ middle value

median = 7

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Suppose x+y=11 and the value of x increases by2 2. if their sum remains the same, what mjst happen to the value of y? justify yo
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3 years ago
An acute triangle has sides measuring 10 cm and 16 cm. The length of the third side is unknown.
saveliy_v [14]

Answer: Choice B

12.5 < x < 18.9

================================================

Explanation:

We have a triangle with these side lengths:

  • a = 10
  • b = 16
  • c = x = unknown

Let's assume that b = 16 is the largest side of this triangle.

By the converse of the pythagorean theorem, we need b^2 < a^2+c^2 to be true in order for an acute triangle to happen.

So,

b^2 < a^2 + c^2\\\\c^2 > b^2 - a^2\\\\c > \sqrt{b^2-a^2}\\\\x > \sqrt{16^2-10^2}\\\\x > \sqrt{156}\\\\x > 12.4899959967968 \ \text{(approximate)}\\\\x > 12.5

Now let's consider the possibility that the missing side x is actually the longest side.

Using the same theorem as before, we would say,

c^2 < a^2 + b^2\\\\c < \sqrt{a^2 + b^2}\\\\x < \sqrt{10^2 + 16^2}\\\\x < \sqrt{356}\\\\x < 18.8679622641132 \ \text{(approximate)}\\\\x < 18.9\\\\

We found that x > 12.5 and x < 18.9

This is the same as saying 12.5 < x and x < 18.9

Put together, they form the approximate answer of 12.5 < x < 18.9

6 0
2 years ago
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