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Ksivusya [100]
3 years ago
15

Rewrite the expression in an equivalent form that uses a single exponent(10^{2} )x^{-3}

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
5 0

Answer:

simply simplify

\frac{100}{x^{3} }

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A number is called evil if it has 666 in it. How many 7 digit numbers are evil?
defon

Step-by-step explanation:

There are 5 different positions of 666:

666////

/666///

//666//

///666/

////666

The forward dashes represent any number from 0 to 9.

Case 1: "666////"

Number of ways = 10⁴ = 10,000.

Case 2: The other positions.

Since the 1st forward dash cannot be 0 (leading digit),

Number of ways for each position = 9 * 10³ = 9,000

Number of ways for all 4 positions = 9,000 * 4 = 36,000.

Total evil numbers = 10,000 + 36,000 = 46,000.

5 0
2 years ago
Jonah flipped a coin 10 times. He flipped heads 3 times and tails 7 times. What is the experimental probability that Jonah will
steposvetlana [31]
<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ 3/10 = 0.3

The experimental probability would be 0.3

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

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7 0
3 years ago
A glass contains alcohol and water in the ratio 1:4. A second glass contains the same quantity of liquid, but this time the rati
AnnyKZ [126]

Answer:

3:7

Step-by-step explanation:

So to solve this problem, you have to understand what the ratio 1:4 and 2:3 means. The 1:4 ratio in the first equation means that for "each unit of alcohol" there is 4 of those units of water. So let's say I had 2 gallons of alcohol and mixed it with 8 gallons of water. This means for each gallon of alcohol, there is 4 gallons of water, or in other words a 1:4 ratio. This can be described as a percentage as well. For each 5 gallons there are 4 gallons of water, and 1 gallon of alcohol or <em>20%</em> is alcohol. So let's just say that x=alcohol and y=water, this means that: x+y=c  where c is the total amount in the glass. This means that: x=0.20c

Let's do the same thing to the second equation. the ratio means that for every 2 units of alcohol there are 3 units of water. This means for every 5 gallons of the mixture there is 2 units of alcohol which is 40%. In this case let's also say that j=alcohol and k=water. This means that: j+k=c and that: j=0.40c.

So if we're going to add the two glasses, we simply add the two sides, and get: j+x+k+y=2c. Now remember how can can express j and x in terms of c, since it's a certain percentage of c (the entire thing). This means that we get: (0.4c+0.2c)+x+k=2c Now we can add like terms to get the equation: 0.6c+y+k=2c. We can find how much 0.6c is to 2c by dividing the 2, in doing so we get that 0.6c/2c = 0.3, or in other words the 0.6c is only 30% of the final mixture, and since the 0.6c represents the alcohol in this mixture, that means that's the percentage of alcohol. To write this as a ratio, this means for every 3 units of alcohol, there is 7 units of water, because 3/10 = 30%.

3 0
2 years ago
Read 2 more answers
Can you please help me
Luba_88 [7]

Answer: Was there supposed to be a picture here?

Step-by-step explanation: If there was supposed to it isn't here

6 0
2 years ago
Twice a number divided by 5 gives 4<br><br>simple equations<br><br>​
melomori [17]

Answer:

x=10

Step-by-step explanation:

Let the number = x

∴ 2x/5=4

∴2x=5*4

∴2x=20

∴x=20/2

∴x=10

Hope it helps you!

Mark as brainliest if you like it  

3 0
3 years ago
Read 2 more answers
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