Answer:
60
Step-by-step explanation:
Let s represent the number of stickers Sophia has. Then the number Ethan has is (2/3)s. The transfer of 16 stickers can be described by the equation ...
(s -16)/(2/3s +16) = 1/2 . . . . . sophia/ethan = 1/2 after the transfer
2s -32 = 2/3s +16 . . . . . . . . .cross multiply
4/3s = 48 . . . . . . . . . . . . . . . add 32-2/3s
s = (48)(3/4) = 36 . . . . . . . . .multiply by 3/4
Together, the total number of stickers held is s +(2/3)s = (5/3)s.
5/3s = (5/3)(36) = 60 . . . . . total of Sophia's and Ethan's stickers
Together, Sophia and Ethan have 60 stickers.
Answer:
1,000 hits
Step-by-step explanation:
Saturday: 2,000 hits
Friday: 1,000 hits
2,000 - 1,000 = 1,000
Answer:
152
Step-by-step explanation:
x =7+1 = 8
8 x 19 =152
Answer:
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or
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Step-by-step explanation:
we have
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This is a vertical parabola open upward (because the leading coefficient is positive)
The vertex is a minimum
Convert to vertex form
Factor the leading coefficient
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Complete the square. Remember to balance the equation by adding the same constants to each side.
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Rewrite as perfect squares
----> equation in vertex form
or
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The vertex is the point (0.25,10.5)