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sdas [7]
3 years ago
7

Hans cellphone plan costs $200 to start. Then there is a $50 charge each month

Mathematics
1 answer:
Gnesinka [82]3 years ago
4 0
Y=200+50x and x is how many months
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Step-by-step explanation:
From the question, Elsa pumped 18 gallons of water out of her pool and this was done over a period of 3 minutes at a constant rate. Since it is done at a content rate, to get the change in the amount of water in the pool each minute, we divide 18 gallons by 3. This can be written mathematically as:
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Yu has $20.28 and spends $2.80 on a hot dog. He lends half of his remaining money to a friend. How much money does Yu lend his f
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You have dimes and quarters in your pocket. There are 12 coins that total $2.25. Write and solve a system of linear equations to
icang [17]

Answer:

Hence the System of equation are \left \{ {{x+y=12} \atop {0.1x+0.25y=2.25}} \right.

There are 5 dimes and 7 quarters in my pocket.

Step-by-step explanation:

Let Number of dimes be 'x'.

Also Number of quarters be 'y'.

Now Given:

Total Number of Coins = 12

So the equation can be framed as;

x+y=12 \ \ \ \ equation \ 1

Also Given:

Total Amount in pocket = $2.25

Now we know that 1 dime = $0.1

Also 1 quarter =$0.25

So the equation can be framed as;

0.1x+0.25y = 2.25 \ \ \ \ equation \ 2

Hence the System of equation are \left \{ {{x+y=12} \atop {0.1x+0.25y=2.25}} \right.

Now Solving the equation we get;

Now Multiplying equation 2 by 10 we get;

10(0.1x+0.25y)=2.25\times10\\\\10\times0.1x+10\times0.25y=22.5\\\\x+2.5y=22.5 \ \ \ \ equation\ 3

Now Subtracting equation 1 from equation 3 we get;

(x+2.5y)-(x+y)=22.5-12\\\\x+2.5y-x-y =10.5\\\\1.5y =10.5\\\\y= \frac{10.5}{1.5}= 7

Now Substituting the value of y in equation 1 we get;

x+y=12\\\\x+7=12\\\\x=12-7 =5

Hence there are 5 dimes and 7 quarters in my pocket.

6 0
3 years ago
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