A spacecraft is orbiting Mars. At the farthest point in its orbit, it is 76,994 kilometers from Mars. Which of the following num
1 answer:
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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:
The y-intercept is
The y-intercept represents the initial quantity of gas in the canister which is zero.
Step-by-step explanation:
The y-intercept is where the graph of the straight line touches the y-axis.
From the graph, the y-intercept is the origin (0,0).
Recall that the slope intercept form of a straight line is , where
is the y-intercept in this case.
Since the graph represents the amount of gasoline in a canister after Joshua begins to fill it at the gas station pump, the y-intercept means the initial gallons of gas in the canister is zero.