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3 years ago

Make sure it's fully reduced. 2 - x = 5/8

Mathematics

1 answer:

postnew [5]3 years ago

7 0

Isolate the x. Note the equal sign. What you do to one side, you do to the other.

First, subtract 2 from both sides

2 (-2) - x = (5/8) - 2

-x = 5/8 - 2

Make sure they have the same denominator. Remember that what you multiply to the denominator, you multiply the numerator:

-x = 5/8 - 16/8

-x = - 11/8

Isolate the x. Divide -1 from both sides

(-x)/-1 = (-11/8)/-1

x = 11/8

11/8 is your answer for x

<em>~Rise Above the Ordinary</em>

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Answer:

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Step-by-step explanation:

All we can do with this equation is factor it.

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8 months ago

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Nastasia [14]

Answer:

Pipe 1 alone fills a tank in 10 min

Pipe 2 alone fills the tank in 20 min

If both are turned on together, how long will it take to fill the tank???

Pipe 1 fills at the RATE of 1/10th tank per min

Pipe 2 fills at the RATE of 1/20th tank per min

Pipe 1 + Pipe 2 fills at the rate of 1/10+1/20 or 3/20th tank per min

Let x= time to fill the tank

(3/20)(x)=1 Where 1 denotes a full tank (Multiply both sides by 20)

3x=20

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NOW YOUR PROBLEM

Let x= amount of time for smaller pipe to fill the tank

Then (x-5)=amount of time for larger pipe to fill the tank

NOW HERE'S WHERE THE RECIPROCAL COMES IN:

The smaller pipe fills the tank at the RATE of 1/x cu units per min

The larger tank fills the tank at the RATE of 1/(x-5) cu units per min

Together, they fill the tank at the rate of 1/x+(1/(x-5)) cu units per min

But now we are told that together the fill the tank in 11 1/9 minutes. so our equation to solve is:

(1/x+(1/(x-5))(11 1/9)=1 where 1 denotes a full tank. In fact, in each of the above reciprocals, the 1 denotes a full tank.

So, dividing both sides by 11 1/9, we get:

1/x+(1/(x-5)=1/(11 1/9)-------------- which is your equation

I assume that you have no problems solviing this eq.

Hope this helps----ptaylor

Step-by-step explanation:

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2 years ago

A right triangle has one 64degree angle and one 90 degree angle

melamori03 [73]

Answer:

I dont know what your asking, for the other angle? Ig so. Answer: THE OTHER ANGLE IS 26. :)

Step-by-step explanation:

64 + 90 = 154.

All triangles add up to 180 degrees.

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3 years ago

Mary must choose a new password where the first and last choices are possibly repeated lowercase letters; the second and third

Salsk061 [2.6K]

The number of ways she can choose a password is 3986236800

<h3>In how many ways can she choose a password?</h3>

The given parameters and the possible selection of characters are:

First and last choices are possibly repeated lowercase letters;

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Since the characters can be repeated, then we have

First = 26

Last = 26

The second and third positions must be distinct uppercase letters

There are 26 upper characters.

Since the characters are distinct, then we have

Second = 26

Third = 25

The fourth position must be a # , $, or & symbol;

So, we have

Fourth = 3

The next four positions are distinct nonzero digits.

There are 9 nonzero digits.

Since the digits are distinct, then we have

Next = 9, 8, 7, 6

The number of ways she can choose a password is

Ways = First * Second * Third * Fourth * Next * Last

So, we have

Ways = 26 * 26 * 25 * 3 * 9 * 8 * 7 * 6 * 26

Evaluate the product

Ways = 3986236800

Hence, the number of ways she can choose a password is 3986236800