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.
You multiply 4 by 3 because he got 4 stamps each week for 3 weeks. That leads to it being 12 stamps in total.
He wants 6 stamps out of 12 on each page of his album, so you divide 12 by 6 and get two.
He will use 2 pages.
The tools used were mathematical reasoning, multiplication and division.
Answer:
(C) 18cm, 39cm, 21cm and 45cm.
Step-by-step explanation:
The quadrilateral HIJK has sides measuring 12 cm, 26 cm, 14 cm, and 30 cm.
When HIJK is dilated with a scale factor of 1.5, the side lengths becomes:
12 X 1.5 =18 cm
26 X 1.5 =39 cm
14 X 1.5 =21 cm
30 X 1.5 =45 cm
A dilation of HIJK with a scale factor of 1.5 will give us the side lengths:
18cm, 39cm, 21cm and 45cm.
<u>The correct option is C.</u>
