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Advocard [28]
3 years ago
13

Please help!!

Mathematics
1 answer:
docker41 [41]3 years ago
8 0

Answer:

E=(7.25h)+2m

Step-by-step explanation:

h is the number of hours worked and we know Joanne earned 7.25 per hour so we have 7.25h, every hour she earns 7.25. M is the number of miles She drives and we know she is paid 2 for every mile so 2m. E is the total amount she earns so it is equal to everything else

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19 13 15 6 17 21 16 18 11 10 11 16 20 6 18 12 6 20 13 13 7 20 14 21 11 3 9 18
hoa [83]

Answer:

13.08

Step-by-step explanation:

19 +13+ 15+ 6+ 17+ 21+ 16+ 18+ 11+ 10+ 11+ 16+ 20+ 6 +18 +12 +6 +20+ 13+ 13+ 7+ 20+ 14+ 21+ 11+ 3 +9 +18+12 +14+ 6 +11 +5 +18+ 8

485/35

13.08

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3 years ago
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A glass contains alcohol and water in the ratio 1:4. A second glass contains the same quantity of liquid, but this time the rati
AnnyKZ [126]

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: x+y=c  where c is the total amount in the glass. This means that: x=0.20c

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: j+k=c and that: j=0.40c.

So if we're going to add the two glasses, we simply add the two sides, and get: j+x+k+y=2c. 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: (0.4c+0.2c)+x+k=2c Now we can add like terms to get the equation: 0.6c+y+k=2c. 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%.

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Answer:

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Step-by-step explanation:

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