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Inessa [10]
2 years ago
12

In a fraction the denominator is 5 more than numerator.When 3 is added to the numerator and 1 is added to the denominator the si

mplest form of the fraction is 2/3. Find the original fraction.​
Mathematics
2 answers:
Leno4ka [110]2 years ago
6 0
<h3>✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽</h3>

➷ The original fraction can be written as:

x/x + 5

This is the information we have:

x + 3/x + 6 = 2/3

Cross multiply them:

3x + 9 = 2x + 12

Subtract 2x from both sides:

x + 9 = 8

Subtract 9 from both sides:

x = 3

The original fraction was 3/8

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

Marysya12 [62]2 years ago
4 0

Answer:

<u> 3/8.</u>

Step-by-step explanation:

Let the original fraction be x / (x + 5).

Then (x + 3) /  (x + 5 + 1)  = 2/3

x + 3 / x + 6 = 2 / 3

Cross multiply:

3(x + 3) = 2(x + 6)

3x + 9 = 2x + 12

x = 12 - 9 = 3

The original fraction is 3 / (3 + 5)

=<u> 3/8.</u>

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What is the solution set to the inequality 7z+5&gt;47
Vsevolod [243]

Answer:

z>6

<h2>Step-by-step explanation:</h2>

7z+5>47

Remove the 5:

7z+5-5>47-5\\7z>42

Divide by 7 to get z by itself:

\frac{7z}{7} >\frac{42}{7} \\z>6

5 0
3 years ago
Suppose the probability that a softball player gets a hit in any single at-bat is 0.300. Assuming that her chance of getting a h
Ksivusya [100]

Answer:

P(X=4)=(1-0.3)^{4-1} 0.3 = 0.103

The probability that she will not get a hit until her fourth time at bat in a game is 0.103

Step-by-step explanation:

Previous concepts

The geometric distribution represents "the number of failures before you get a success in a series of Bernoulli trials. This discrete probability distribution is represented by the probability density function:"

P(X=x)=(1-p)^{x-1} p

Let X the random variable that measures the number os trials until the first success, we know that X follows this distribution:

X\sim Geo (1-p)

Solution to the problem

For this case we want this probability

P(X=4)

And using the probability mass function we got:

P(X=4)=(1-0.3)^{4-1} 0.3 = 0.103

The probability that she will not get a hit until her fourth time at bat in a game is 0.103

4 0
2 years ago
If a coin is tossed 5 times, and then a standard six-sided die is rolled 4 times, and finally a group of three cards are drawn f
Step2247 [10]

Answer:  5,499,187,200

<u>Step-by-step explanation:</u>

A coin is tossed 5 times.  

There are two options (heads or tails) so the possible outcomes are: 2⁵

A six-sided die is rolled 4 times.

There are six options so the possible outcomes are: 6⁴

A group of 3 cards are drawn (without replacement).

The first outcome has 52 options, the second has 51 options, and the third has 50 options: 52 x 51 x 50

Now if we want the coin AND the die AND the cards, we have to multiply all of their possible outcomes:

     2⁵ x   6⁴  x  52 x 51 x 50

=   32 x 1296 x 132,600

=  5,499,187,200

3 0
3 years ago
Helppppp me pleaseeeee
Andreyy89

Answer:

314- The unknown digit is 1

Step-by-step explanation:

16*314=5024

5024/16=314

Hope this helps ;) ❤❤❤

5 0
3 years ago
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Rozonda defines the diameter of a circle as a line segment passing through the center of the circle. Is Rozonda’s definition val
larisa [96]

Answer: Yes Rozonda's definition is valid

Step-by-step explanation:

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2 years ago
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