Answer:
the prices were $0.05 and $1.05
Step-by-step explanation:
Let 'a' and 'b' represent the costs of the two sodas. The given relations are ...
a + b = 1.10 . . . . the total cost of the sodas was $1.10
a - b = 1.00 . . . . one soda costs $1.00 more than the other one
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Adding these two equations, we get ...
2a = 2.10
a = 1.05 . . . . . divide by 2
1.05 -b = 1.00 . . . . . substitute for a in the second equation
1.05 -1.00 = b = 0.05 . . . add b-1 to both sides
The prices of the two sodas were $0.05 and $1.05.
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<em>Additional comment</em>
This is a "sum and difference" problem, in which you are given the sum and the difference of two values. As we have seen here, <em>the larger value is half the sum of the sum and difference</em>: a = (1+1.10)/2 = 1.05. If we were to subtract one equation from the other, we would find <em>the smaller value is half the difference of the sum and difference</em>: b = (1.05 -1.00)/2 = 0.05.
This result is the general solution to sum and difference problems.
2/3 is greater because 3/8 is less than 1/2 while 2/3 is greater than 1/2
When you multiply it out by hand to get
2678 × 97 = 259766
you place the decimal point in the answer by counting the number of decimal places of the multiplicands.
2.678 has 3 decimal places
9.7 has 1 decimal place
The product of these numbers will have 3+1 = 4 decimal places, so will look like
B) 25.9766
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You can also get there by considering that the product is about 10×2.6, so is about 26. That will tell you the decimal point goes after the first two left-most digits.
Answer and Step-by-step explanation:
Answer is in picture.
We use the cosine trig function (adjacent side over hypotenuse = cos of an angle) to find m.
The angles are split perfectly in half, half of 90, which is 45, so the other angles are 45.
<em><u>#teamtrees #PAW (Plant And Water)</u></em>
I think its $30 because 6 and 4 tickets is 24.then it turned out 27.i think there is a pattern i added 3 beause 4 plus 3 is 7 and i got 30
