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valkas [14]
2 years ago
11

Ruben bought 6 new books for his collection. This increased his collection by 12%. How many books did he have before his purchas

es?
Mathematics
1 answer:
Norma-Jean [14]2 years ago
4 0

Answer:  The required number of books that Ruben had before purchases is 50.

Step-by-step explanation:  Given that Ruben bought 6 new books for his collection that increased his collection by 12%.

We are to find the number of books that Ruben had before purchases.

Let x denotes the number of books that Ruben had before purchases.

Then, according to the given information, we have

x+6=x+12\%\times x\\\\\\\Rightarrow 6=\dfrac{12}{100}x\\\\\\\Rightarrow 6=\dfrac{3x}{25}\\\\\\\Rightarrow 3x=150\\\\\Rightarrow x=\dfrac{150}{3}\\\\\Rightarrow x=50.

Thus, the required number of books that Ruben had before purchases is 50.

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The owners of Expo Company John Smith and Susan Jones invested $240,000 and $160,000 into the business respectively. What percen
Troyanec [42]

Answer:

40%.

Step-by-step explanation:

We have been given that the owners of Expo Company John Smith and Susan Jones invested $240,000 and $160,000 into the business respectively. We are asked to find the percentage of business owned by Susan.

Let us figure out total money invested in business by adding the money invested by John Smith and Susan Jones.

\text{Total money invested in business}=\$240,000+\$160,000

\text{Total money invested in business}=\$400,000

Now we will find $160,000 is what percent of $400,000.

\text{Percentage of business Susan own}=\frac{160,000}{400,000}\times 100

\text{Percentage of business Susan own}=0.4\times 100

\text{Percentage of business Susan own}=40

Therefore, Susan owns 40% of the business.

5 0
2 years ago
Assume there are 365 days in a year.
MissTica

Answer:

1) The probability that ten students in a class have different birthdays is 0.883.

2) The probability that among ten students in a class, at least two of them share a birthday is 0.002.

Step-by-step explanation:

Given : Assume there are 365 days in a year.

To find : 1) What is the probability that ten students in a class have different birthdays?

2) What is the probability that among ten students in a class, at least two of them share a birthday?

Solution :

\text{Probability}=\frac{\text{Favorable outcome}}{\text{Total number of outcome}}

Total outcome = 365

1) Probability that ten students in a class have different birthdays is

The first student can have the birthday on any of the 365 days, the second one only 364/365 and so on...

\frac{364}{365}\times \frac{363}{365} \times \frac{362}{365} \times \frac{361}{365}\times\frac{360}{365} \times \frac{359}{365} \times \frac{358}{365} \times \frac{357}{365} \times\frac{356}{365}=0.883

The probability that ten students in a class have different birthdays is 0.883.

2) The probability that among ten students in a class, at least two of them share a birthday

P(2 born on same day) = 1- P( 2 not born on same day)

\text{P(2 born on same day) }=1-[\frac{365}{365}\times \frac{364}{365}]

\text{P(2 born on same day) }=1-[\frac{364}{365}]

\text{P(2 born on same day) }=0.002

The probability that among ten students in a class, at least two of them share a birthday is 0.002.

6 0
2 years ago
Tamika builds a wooden skateboard ramp. The ramp measures 63 centimeters, and the length of its horizontal base is 60 centimeter
Softa [21]
So imma be using the Pythagorean Theorem, which is a^2+h^2=c^2. The a and h variable represent the legs of the right triangle while c variable stands for the hypotenuse. And since we have one of the legs and the hypotenuse, we are solving for the other leg.

So first we are gonna plug in 60 and 63 in their appropriate spots: 60^2+h^2=63^2

Solve the exponents to get 3600+h^2=3969

Subtract 3600 on each side to get h^2=369

To cancel out the squared power, you have to square root each side of the equation, and your final answer should be h=19.2cm
7 0
2 years ago
Read 2 more answers
The total amount, a, in dollars, that Mitra earns is a = 14.6h, where h is the number of hours that she works. What is the const
lesantik [10]
14.6 is the constant because no matter how many hours she will work (that number could change) it will always be a linear growth of 14.6.
7 0
2 years ago
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A pair of socks costs $2.50 originally. The price is reduced to $1.75. What is the percent change?
telo118 [61]

。☆✼★ ━━━━━━━━━━━━━━  ☾  

% change = difference / original x 100

% change = (0.75 / 2.5) x 100

% change = 30%

It was a 30% change

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

。☆✼★ ━━━━━━━━━━━━━━  ☾

6 0
2 years ago
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