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Pie
2 years ago
6

Steven needed to mail a holiday envelope to his Aunt Linda. He used $0.02 stamps and $0.10 stamps to mail the gift. If he used 1

5 stamps worth $0.78, how many of each type of stamp did he use?
Mathematics
1 answer:
Ad libitum [116K]2 years ago
7 0

Answer:Steven used 9 $0.02 stamps and 6 $0.10 stamps

Step-by-step explanation:

let number of $0.02 stamp  be =x

let number of $0.10 stamp  be =y

so that the number of stamps used can be expressed as

x+y=15

and the total price of stamps used equaling  $0.78 be expressed as

0.02x + 0.10y =0.78

Solving

x+y=15----1

0.02x + 0.10y =0.78---2

from equation 1 ,  x =15-y, putting the value of x into equation 2

0.02(15-y) + 0.10y =0.78

0.3 -0.02y + 0.10y  = 0.78

0.3 + 0.08y=0.78

0.08y=0.78-0.3

y=0.48/0.08 =6

y =6 stamps

 Putting bthe value of  y =6 into equation 1

x+6=15

x=15-6 =9

Steven used 9 $0.02 stamps and 6 $0.10 stamps

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Answer:

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b) And between  23 and 44 we should find:

We have 95 %  of values between

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In our case to the left of the value (mean 0 ) and up to the value 23 we get 95/2 = 47,5 % and to the right of the value (mean 0 ) and up to 44 we half 68/2 = 34 %

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Answer:

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Step-by-step explanation:

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This height is also a leg of a 45-45-90 triangle, as marked in the diagram. From the isosceles-base-theorem, the other leg of this triangle must also be equal to h. Therefore, we can use the Pythagorean theorem to solve for x:

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Segment y consists of two shorter segments, a left segment and a right segment. We've already found that the left segment is equal to 17. To find the right segment we can use trig, the Pythagorean theorem, or 30-60-90 triangle rules (derived from the Pythagorean theorem):

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