Answer:
4/8
Step-by-step explanation:
There are an infinite number of fractions equal to 1/2, but the number line in the question has 8 spaces, and shows 1 divided into 8 pieces. Therefore, the answer to this question is likely 4/8.
(may I ask why exactly this is put as a college level problem?)
Annually: Total Amount= $1,611.76 Interest Amount= $711.76
Semiannually: Total Amount= $1,625.50 Interest Amount= $725.50
Quarterly: Total Amount= $1,632.62 Interest Amount= $732.62
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:
Given, ∠MNP=107 degree.
Therefore, ∠QPN= 107 degree. [as, MN=PQ]
We know, sum of four angles of a quadrilateral is 360 degree.
And as MN=PQ, ∠NMQ=∠MQP.
Therefore, ∠MQP= {360 degree-( 107degree+ 107 degree)}/2
=( 360 degree-214 degree)/2
= 146 degree/2
=73 degree.
hope this will help you.
Step-by-step explanation:
Answer:Selling price is 425
Step-by-step explanation: