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Vikki [24]
3 years ago
5

Carl bought 19 apples of 2 different varieties to make a pie.The total cost of the apple was $5.10.Granny Smith apples cost $0.2

5 each and Gala apples cost $0.30 each.How many of each type of apple did Carl buy?
Mathematics
1 answer:
disa [49]3 years ago
8 0

For this case we propose a system of equations:

x: Let the variable representing the quantity of Granny Smith apples

y: Let the variable representing the number of Gala apples

According to the statement we have:

x + y = 19\\0.25x + 0.30y = 5.10

From the first equation we have to:

x = 19-y

replacing in the second equation:

0.25 (19-y) + 0.30y = 5.10\\4.75-0.25y + 0.30y = 5.10\\4.75 + 0.05y = 5.10\\0.05y = 5.10-4.75\\0.05y = 0.35\\y = \frac {0.35} {0.05}\\y = 7

So, Carl bought 7 Gala apples

On the other hand:

x = 19-7 = 12

So, Carl bought 12 Granny Smith apples

Answer:

Carl bought 7 Gala apples and 12 Granny Smith apples

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Answer:

α = π/3

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Step-by-step explanation:

Easiest way to do this is in reverse.

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Angle sum/difference formula:

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Matching the coefficients:

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Solve the system of equations.  Divide to eliminate γ:

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sin(2x − π/3) = 1/2

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x is between -π and π, so:

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7 0
3 years ago
A piece of steel pipe 12.5 feet long weighs 158 pounds. How much does a piece of the same steel pipe 18.75 feet long weigh?
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Answer:

18.75 feet of steel pipe weighs 237 pounds  

explanation:

find out how much 1 feet weighs than u can find out how much 18.75 feet.

by doing it like this  

158÷ 12.5

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1 feet equals 12.64 pounds

12.64× 18.75

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A company provides a monthly pension to its employees. A person retiring at 62 retires and receives a full monthly pension. If t
IRISSAK [1]

Answer:

  • <em><u>The reduction is 8.6%</u></em>

Explanation:

Call F the full monthly pension of a person retiring at 62.

If a person continues to work the pension grows at a rate of 6% per year, compounded monthly, so use the compounded growing formula:

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Where r = 6 / 100 = 0.06, and t = number of years after retirement.

<u>For retirement at 65.5</u>:

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<u>For retirement at 67</u>:

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<u>Percent reduction of people who retire at 65.5 compared to what they would receive at 67</u>:

  • (1.349F-1.233F)\times 100/(1.349F)=8.6\%
8 0
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