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BabaBlast [244]
3 years ago
13

a standard piece of paper is 0.0038 in. thick. How many times would you have to fold it in half for the piece of paper to be thi

cker than one mile?
Mathematics
1 answer:
Juliette [100K]3 years ago
6 0
Each time you fold the piece of paper, you double its thickness. So we can write an equation to represent the thickness of the paper: 
t=thickness
f=# of folds

t=0.0038(2)^f

Let's solve for f.
(2)^f = (t/0.0032)
f= log(base 2) of (t/0.0032)

The paper needs to be thicker than one mile- or, converted into inches, thicker than 63360 inches.

So, f = log(base 2) of (63360)/(0.0032)
f = 24.24

The paper must be thicker than one mile, and we can't have a friction for our answer, so we round up to the next greatest integer. The answer is 25 times.

Hope this helps!!

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A torch and a battery cost £2.50 altogether. The torch costs £2.00 more than the battery.
Hitman42 [59]

Answer:

1/5

Step-by-step explanation:

To find what fraction of the total price the battery is, we need to find out how much the battery alone is first.

Since the battery and torch together are £2.50 and the torch is £2.00, we can find the price of the battery by subtracting the total price to the price of the torch.

Battery Price = £2.50 - £2.00

Battery Price = £0.50

The fraction value of the torch is:

2.00 of 2.50 = 4/5

That then leaves us with:

0.50 of 2.50 = 1/5

To check we need to add the two fractions together.

1/5 + 4/5 = 5/5 or 1

6 0
2 years ago
Find the distance between points A (5.-7) and B (-3,-4)
Strike441 [17]

It would help if you had a four quadrant graph, but the distance would be (8,11).

7 0
3 years ago
Which graph represents the solution set of the system of inequalities?
vivado [14]
Solve first for the solution of the inequalities. This can be done by replacing first the inequalities sign with the equal sign. 

x + y = 1
2y = x - 4

The values of x and y from the system of linear equation are 2 and -1. This means that the intersection of the lines should be at point (2, -1). 

Substitute 3 to x and determine the value of y from the second inequality.
 2y ≥ x - 4

Substituting,
  2y ≥ 3 - 4, y ≥ -1/2

Hence, the solution to this item should be the fourth one. 
6 0
2 years ago
What is the cosine ratio of <br> A. 15/8<br> B. 15/17<br> C. 8/15<br> D.8/17
Aleksandr-060686 [28]

Answer:

your answer will be option d

Step-by-step explanation:

because cosine =base/hypotenus

and here 8/17

hope ur help

5 0
2 years ago
Read 2 more answers
A rectangular garden has links twice as great as it's with a second rectangular garden has the same link as the first garden and
irinina [24]

Solution :

For the bigger rectangle

Width of bigger rectangle = W

Length of bigger rectangle, L = 2W

For the smaller rectangle

Width , w = W+4

Length, l = L = 2W

Area, a =120 m^2

Now we know,

Area = length x width

$a=l \times w$

$120=(2W) \times (W+4)$

$120=2W^2 + 8W$

$2W^2+8W-120=0$

$W^2+4W-60=0$

$(W+10)(W-6) = 0$

We get, either W=-10   (rejecting)

                or     W=6

∴ length of the bigger rectangle, $L=2W $

                                                          = 2(6)

                                                           = 12 m

 Length of the smaller rectangle, $L=2W$

                                                            = 2(6)

                                                           = 12 m

Hence, the length of the two gardens is 12 m.                                                            

6 0
2 years ago
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