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: 
where c is the total amount in the glass. This means that: 
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: 
and that: 
.
So if we're going to add the two glasses, we simply add the two sides, and get: 
. 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: 
Now we can add like terms to get the equation: 
. 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%.
The answer is 7. Since Alice has 1/5 as many cars as Sylvester. You multiply 1/5 by how many cars Sylvester has. Sylvester has 35 cars, so you would do 35 times 1/5 or 35 divided by 5 (multiply by 1/5 and divided by 5 are the same thing) and you would get your answer of 7.
The Roman Numeral, as far as we know, was the only written numbering system used in Ancient Rome andEurope until about 900 AD, when the Arabic Numbering System, which was originated by the Hindu's, came into use.
Answer:
Compound interest = $365.4
Step-by-step explanation:
Given:
Amount borrowed = $6,000
Rate of interest = 3%
Number of year = year
Find:
Compound interest
Computation:
A = P[1+r]ⁿ
Amount after 2 year = 6,000[1 + 3%]²
Amount after 2 year = 6,000[1 + 0.03]²
Amount after 2 year = 6,000[1.03]²
Amount after 2 year = 6,000[1.0609]
Amount after 2 year = 6,365.4
Compound interest = Amount after 2 year - Amount borrowed
Compound interest = 6,365.4 - 6,000
Compound interest = $365.4
Answer:
D
Step-by-step explanation:
