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Ilya [14]
3 years ago
5

Gershona is babysitting her brothers. To keep them occupied, she lets them put stickers into sticker books. Joshua puts 110 stic

kers on 22 pages. Mike puts 100 stickers on 25 pages. Select all statements that are true about these ratios. Answer Choices Mike's sticker book has 5 stickers per page. Mike's sticker book has 4 stickers per page. Joshua's sticker book has 5 stickers per page. Joshua's sticker book has 1 sticker for every 5 pages. Joshua's sticker book has more stickers per page than Mike's sticker book does.
Mathematics
2 answers:
dedylja [7]3 years ago
8 0
110/22=5 per page. C is correct
100/25=4 per page. B is correct
5>4. last choice is correct
german3 years ago
6 0
Joshua has 5 per page
mike has 4 per page
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Savatey [412]

we have that

300 + 150 + 75 +...

Let

a1=300\\ a2=150\\ a3=75

we know that

\frac{a2}{a1} =\frac{150}{300} \\\\ \frac{a2}{a1}=0.5 \\ \\ a2=a1*0.50

\frac{a3}{a2} =\frac{75}{150} \\\\ \frac{a3}{a2}=0.5 \\ \\ a3=a2*0.50

so

a(n+1)=an*0.50

Is a geometric sequence

Find the value of a4

a(4)=a3*0.50

a(4)=75*0.50

a(4)=37.5

Find the value of a5

a(5)=a4*0.50

a(5)=37.5*0.50

a(5)=18.75

Find S5

S5=a1+a2+a3+a4+a5\\ S5=300+150+75+37.5+18.75\\ S5=581.25

therefore

the answer is

581.25

Alternative Method

Applying the formula

S_n=\frac{a_1 (1-r^n)}{1-r} \\\\a_1=300 \\ r=\frac{1}{2}\\\\ S_5=\frac{300(1-(\frac{1}{2})^5)}{1-\frac{1}{2}}\\\\=\frac{300(1-\frac{1}{32})}{\frac{1}{2}}\\\\=\frac{300 \times \frac{31}{32}}{\frac{1}{2}}\\\\=\frac{75 \times \frac{31}{8}}{\frac{1}{2}}\\\\=\frac{\frac{2325}{8}}{\frac{1}{2}}\\\\=\frac{2325}{8} \times 2\\\\=\frac{2325}{4}\\\\=581 \frac{1}{4}\\\\=581.25

therefore

the answer is

581.25

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Answer:

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Answer:

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