Answer:
Step-by-step explanation:
1 pound = 16 ounce
6 pound = 6 * 16 = 96 ounces
Cost of 96 ounces of grapes = $18
Cost of 1 ounce of grape = 18/96
Cost of 72 ounces of grape = 18*72 / 96 = 27/2
= $13.50
Or
Direct Proportion because is weight increase, the cost will increase
96:18 = 72 : x
Product of means = Product of extremes
18*72 = x*96
18*72/96 = x
x =$13.50
Nelson needs to save $114 and Jamie needs $108.
The answer is SSS since both triangles have equal sides the third one has to be congruent since they share the same line
First you have to know, that the price the agent found is 70% of $2075
(100%-30%=70%)
70%=0,7
$2075 * 0,7 = $1452,5
So 70% 0f $2075 is 1452,5
The price the agant found is $1452,5.
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%.
