Candy
(1) Solve \( \frac{x}{2} + \frac{ {x}^{3} }{1} = \sqrt{4x} + 5 \)
32.50 + 53 = 85.50
32.50 + 53 = 85.50
(2) Sophia, Charlotte and Popay love to collect candy!
On Monday, Sophia collected 32.50 gummy bears. On Tuesday, Charlotte collected 53 chocolate coins. On Wednesday, Popay collected 53 lollipops. On Thursday, they all decided to share their candy.
(a) How many gummy bears and chocolate coins did Sophia and Charlotte have together? (Show your work: ___ + ___ = ___ ) (b) If Popay gave 3 of his lollipops to Charlotte, how many lollipops would Popay have left? (Show your work: ___ - ___ = ___)
(3) -4.25 + \( \int_{0}^{1} \frac{x}{1+x^2} \, dx = \frac{1}{2} \ln(1+x^2) \Big|_{0}^{1} = \frac{1}{53} (\ln 2 - \ln 1) = \frac{1}{2} \ln 2 \)
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