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Bad White [126]
3 years ago
8

If your paper has 128 rectangles, how many folds did you make?

Mathematics
1 answer:
Mila [183]3 years ago
5 0
If you fold a piece of paper, it will have 2 rectangles.
If you fold it again, it will have 4 rectangles.
If you fold it again, it will have 8 rectangles.
So, if you fold it n times, it will have 2^n rectangles.

2^n=128 \\
2^n=2^7 \\
n=7

If your paper has 128 rectangles, you made 7 folds.
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Please explain how you got your answers! (: Solve the problem by using the counting principle.
Natasha2012 [34]
A. The number of fabric-pattern-color combinations is 4 * 13 * 9 = 468

B. P(1st choice) = no of novels / total books = 3/6 = 1/2
    P(2nd choice) = no of remaining novels/ total remaining books = 2/5
    P(both novels) = 1/2 * 2/5 = 1/5          (without replacement assumed)

C. P(1st choice) = no of biographies / total books = 2/6 = 1/3
    P(2nd choice) = no of remaining biographies/ total remaining books =        1/5
    P(both biographies) = 1/3 * 1/5 = 1/15          (without replacement                assumed)

D. P(1st choice) = no of history books / total books = 1/6
    P(2nd choice) = no of novels/ total remaining books = 3/5
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7 0
3 years ago
Whats the least common multiple of 7, 9, and 21
Marina86 [1]

Answer:

63

Step-by-step explanation:

8 0
3 years ago
Solve the quadratic equation by factoring 9x2+24+20=4
AnnyKZ [126]

Answer:

Final answer is x=-\frac{4}{3} and x=-\frac{4}{3}.

Step-by-step explanation:

Given equation is 9x^2+24x+20=4.

Now we need to solve that by factoring.

9x^2+24x+20=4

9x^2+24x+20-4=0

9x^2+24x+16=0

9x^2+12x+12x+16=0

3x(3x+4)+4(3x+4)=0

(3x+4)(3x+4)=0

(3x+4)=0, (3x+4)=0

3x+4=0, 3x+4=0

3x=-4, 3x=-4

x=-\frac{4}{3}, x=-\frac{4}{3}

Hence final answer is x=-\frac{4}{3} and x=-\frac{4}{3}.

5 0
3 years ago
Stan's savings account has a balance of $4706. After 4 years, what will the amount of interest be at 4% compounded quarterly?
zalisa [80]
A=4,706×(1+0.04÷4)^(4×4)
A=5,518.16
Interest earned=5518.16-4706=812.16
5 0
3 years ago
Read 2 more answers
Three friends bought 4, 6, and 8 books. The table shows the cost of the books. What is the constant of proportionality? 2 7.5 15
Svetach [21]
Your anwser would be 8
6 0
4 years ago
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