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%.
Answer:
3 hours + 5hours = 8 hours ÷ 2 =
4 hours is your answer.
Step-by-step explanation:
If you have 2 people working and need to know how long it would take them to finish a job. Working together on the same job, you add each of their total hours to do the job alone,, 5 + 3 = 8, then divide the 8 by 2 people
equals 4 hours for 2 people on 1 job.
Answer:
you have selected the correct option for the first part
in the second part, the answer is "there is no solution"
in the third part, the answer is "one solution" which is (0 , 1)
brainly it if you found this helpful
Answer:
1.03
Step-by-step explanation:
To find the volume of a prism, find the area of the base and multiply it by the height.
The base is an octagon. The area is found
. Substitute a = 0.5.

The volume is 1.21*2.5 = 3.025.
However, there are three holes drilled out half way which each have volume 0.06.
The volume is found as V = πr²h. Substitute r = 0.125 which is half the diameter of 0.25. Since they go half way, the height is h = 1.25.
V = π(0.125)²(1.25) = 0.06.
Since there are 3, they equal 3*0.06 = 0.18.
Subtract this from the volume.
1.21 - 0.18 = 1.03