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:
The correct answer would be B I believe
Step-by-step explanation:
Because it is a 90° angle and the legs are congruent, the legs intersect with the hypotenuse at the same angle, so the other, unnamed angle at the bottom left is equal to x.
Now we can state that:
2x + 90 = 180
2x = 90
x = 45
We can use ratios and the cross-multiply-divide to find this.
The ratio 21:5 is avaliable via the question. We then need to compare that to the ratio x:100, the 100 being the percent and the x being the number of airplane parts.
21/5 = x/100
We can then solve for x to find the number of airplane parts. First we multiply by 100 on both sides to get 2100/5 = x. Therefore x = 420 and there are 420 airplane parts.
For the first one (aka 7) you would write 10² wich is the same as 10×10 and so the answer is 100
For the second one (aka 8) you would write 3×3×3×3×3×3×3×3×3 and the answer is 486 square miles
