Find the Mean, 3, 9, 13, 8, 10, 2 Mean can someone help me?

Mathematics

1 answer:

Doss [256]3 years ago

7 0

Answer:

7.5

Step-by-step explanation:

3 + 9 + 13 + 8 + 10 + 2 = 45

There are 6 numbers so we divide 45 by 6

45/6 = 7.5

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Austin purchase 2/3 of a pound of yum yum treats. If yum yum treats are $6.00 per pound how much does Austin pay

Oksi-84 [34.3K]

1. The information given in the problem above, is:

- Austin purchases 2/3 of a pound of yum yum treats.
- Yum yum treats are $6.00 per pound (1 pound=$6.00).

2. Keeping this on mind you have: If 1 pound of yum yum treats is $6.00, how much is 2/3 of a pound?

1 pound------------$6.00
2/3 of a pound----x

x=(2/3)(6.00)/1
x=(2/3)(6.00)
x=12/3
x=$4.00

Therefore: How much does Austin pay?

The answer is: Austin pays $4.00.

5 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 20% 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%.