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hammer [34]
4 years ago
12

Two numbers are in the ratio of 3 to 4. If the minor is 27, find the sum of both.

Mathematics
2 answers:
andre [41]4 years ago
7 0

Answer:

Sum = 63

\boxed{ x = 36}

Step-by-step explanation:

3 : 4

It says that the 1st part (3) is 27

27 : x (We've to find the major)

<u><em> Creating a proportion:</em></u>

=> 3 : 4 = 27 : x

Product of Means = Product of Extremes

=> 3 * x = 27 * 4

=> 3x = 108

Dividing both sides by 3

=> x = 36

The sum of both is 27+36 = 63

german4 years ago
4 0

Answer:

Step-by-step explanation:

First we must find the missing number, for that we apply a simple rule of three:

3. 4

27 ------ x

x = 27 (4) / 3 = 36

Now we just do the sum:

27 + 36 = 63

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riadik2000 [5.3K]

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3:1

Step-by-step explanation:

15:5 = 3:1

5 0
2 years ago
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Simplify (5+22)×(35-27)+6 squared
blagie [28]

Answer:

71

Step-by-step explanation:

5+22=27

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8 0
3 years ago
In a health club, research shows that on average, patrons spend an average of 42.5 minutes on the treadmill, with a standard dev
Paha777 [63]

Answer:

0.3114

Option d is right

Step-by-step explanation:

Let X be the time spent on a treadmill in the health club

Given that  research shows that on average, patrons spend an average of 42.5 minutes on the treadmill, with a standard deviation of 5.4 minutes

Also given that X is normal

the probability that randomly selected individual would spent between 30 and 40 minutes on the treadmill.

= P(30

round off to two decimals tog et

the probability that randomly selected individual would spent between 30 and 40 minutes on the treadmill is 0.31

Hence option d is right

3 0
4 years ago
<img src="https://tex.z-dn.net/?f=%28v%2B6%29%5E%7B2%7D%3D2v%5E%7B2%7D%2B14v%2B12" id="TexFormula1" title="(v+6)^{2}=2v^{2}+14v+
timofeeve [1]

Answer:

v=-6 or 4

Step-by-step explanation:

3 0
3 years ago
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This is really confusing me:<br> Simplify so that your answers contain only positive exponents.
xxTIMURxx [149]

Answer:

  see below

Step-by-step explanation:

For simplifying expressions of this sort, there are four rules of exponents that come into play;

  a^ba^c=a^{b+c}\\\\(ab)^c=a^cb^c\\\\(a^b)^c=a^{bc}\\\\\dfrac{1}{a^b}=a^{-b}\ \quad\text{which means}\quad a^b=\dfrac{1}{a^{-b}}

__

I find it convenient to eliminate the fractions by adding the exponents, then rewrite any negative exponents as denominator factors.

23. \quad\dfrac{1}{x^{-2}}=x^2\\\\24. \quad\dfrac{mn}{m^2n^3}=m^{1-2}n^{1-3}=m^{-1}n^{-2}=\dfrac{1}{mn^2}\\\\25. \quad\dfrac{k^{-2}}{k^{-3}}=k^{-2-(-3)}=k\\\\26. \quad\left(\dfrac{m^2}{n^3}\right)^3=\dfrac{m^{2\cdot 3}}{n^{3\cdot 3}}=\dfrac{m^6}{n^9}\\\\27. \quad\dfrac{x^2y^3z^4}{x^{-3}y^{-4}z^{-5}}=x^{2-(-3)}y^{3-(-4)}z^{4-(-5)}=x^5y^7z^9

3 0
3 years ago
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