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.
1/8*3/4
multiply the numerators together
1*3=3
multiply the denominators together
8*4=32
answer:
3/32
Make a game out of it. it says that softball dimond is 50% bigger than a basball feild. also with the balls. transfer the feet to cm and go from there. i think you need to transfer the percentage into cm as well to get the answer.
Answer:
The answer is 41
Step-by-step explanation:
400 = 900 + 625 - 1500 cos x
400 - 1525 = -1500 cos x
-1125 = -1500 cos
cos x = -1125/-1500
x = cos⁻¹ 0.75
x = 41.409622109
x ≈ 41°
R = 2 / (1 + sin <span>θ)
Using the following relations:
R = sqrt (x^2 + y^2)
sin </span>θ = y/R
<span>
R = 2 / (1 + y/R)
R</span>(1 + y/R<span>) = 2
</span><span>R + y = 2
R = 2 - y
sqrt(x^2 + y^2) = 2 - y
Squaring both sides:
x^2 + y^2 = (2 - y)^2
x^2 + y^2 = 4 - 4y + y^2
x^2 + 4y - 4
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