A piece of paper has an area of 93.5 square inches. How many times does it need to be folded in half before the area is less than 1 square inch? Explain how you know.

Answers

Answer 1

Answer:

7 times.

Step-by-step explanation:

Keep dividing 93.5 by 2 until it becomes less than 1.

Answer 2

The sheet needs to be folded in half 7 times.

Since the area of the piece of paper is 93.5 square inches, and we need to fold the sheet in half it 'n' times  to get an area less than 1 square inch. This is written mathematically as 93.5(1/2)ⁿ ≤ 1.

So, dividing through by 93.5, we have

(1/2)ⁿ ≤ 1/93.5

(1/2)ⁿ ≤ 0.0107

taking natural logarithm of both sides, we have

㏑(1/2)ⁿ ≤ ㏑0.0107

n㏑(1/2) ≤ ㏑(0.0107)

n ≤ ㏑(0.0107)/㏑(1/2)

n ≤ -4.538/-0.693

n ≤ 6.55

Rounding up to the nearest whole number,

n ≅ 7

So, the sheet needs to be folded in half 7 times.

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Related Questions

Which expression is undefined?

Answers

Answer:

C. 4/0

Step-by-step explanation:

You can't divide 4 by 0.

A. you would have gotten -0.5

B. you would have gotten 0

D. you would have gotten 0

Hope this help!! :)

Answer:

C. [tex]\frac{4}{0}[/tex]

Step-by-step explanation:

you cannot divide by zero, therefore option C is the correct choice because [tex]\frac{4}{0}[/tex] means 4 ÷ 0.

if 0 was the numerator, like in [tex]\frac{0}{4}[/tex] or 0 ÷ 4, the answer would be 0 because 0 divided by 4 is 0. this can be kind of confusing at times, but just remember that as long as 0 is the denominator in a fraction (meaning the 0 is under the fraction bar), the answer will always come out as undefined because you can't divide by 0.

i hope this helps! have a great day <3

Answer and solution and thank you for answer

Answers

Answer:

C is the answer not sure

Step-by-step explanation:

pedro y louis tiene 30 cromos. louis le dice a pedro 'dame 8 cromos para tener los mismos que tu'
cuantos cromos tiene cada uno.

Answers

Answer:

Pedro tiene 23 cromos y Luis 7.

Step-by-step explanation:

Sabemos que Pedro y Luis tienen (entre ambos) 30 cromos.

Definamos:

P = número de cromos que tiene Pedro

L = número de cromos que tiene Luis.

Entonces P + L = 30

Y sabemos que si Pedro le da 8 cromos a Luis, entonces ambos van a tener la misma cantidad de cromos.

Cuando Pedro da 8 cromos, el va a tener P - 8 en total

Cuando Luis recibe 8 cromos, el va a tener L + 8 en total

Entonces: P - 8 = L + 8

Tenemos dos ecuaciones:

P + L = 30

P - 8 = L + 8

Esto es un sistema de ecuaciones, para resolverlo el primer paso es aislar una variable en una de las ecuaciones, yo voy a aislar P en la primera:

P = 30 - L

Ahora podemos reemplazar esto en la otra ecuación para obtener:

(30 - L) - 8 = L + 8

Y podemos resolver esto para L.

30 - L - 8 = L + 8

22 - L = L + 8

22 - 8 = L + L

14 = 2*L

14/2 = L

7 = L

Entonces Luis tiene 7 cromos, y reemplazando esto en cualquiera de las dos ecuaciones que teníamos originalmente podemos encontrar el valor de P.

P + L = 30

P + 7 = 30

P = 30 - 7 = 23

Pedro tiene 23 cromos.

Write each mixed number as a percent.

1. 1 4/5

Answers

Answer:

180%

Step-by-step explanation:

Your friend arrives and placed pieces appropriately on the board. What percent of the checker board squares have pieces?

URGENT I WILL GIVE BRAINLIEST TO CORRECT ANSWER

Answers

Answer:

25% of the board is covered with checker pieces.

Step-by-step explanation:

Answer:

If it's just for the pieces shown, it's just 0.125 or 12.5%, but if it's saying to include both sides (even though the picture doesn't represent this), it's just 0.25 or 25%

Step-by-step explanation:

8/64 or 16/64

The difference between double a number and 4 is 16

Answers

Answer:

2x - 4 = 16

Step-by-step explanation:

'the difference' shows that its subtraction so u have to put a - in the equation

'double' means 2 and since you dont know the value of 'a number' you replace it with a variable like x. combine them and you get 2x

so far it should look like 2x -

4 is equal to 4 so just put a 4 in front of the subtraction sign

it'll look like 2x - 4 now

'is 16' basically means is equal to 16 so now ur equation should look like:

2x - 4 = 16

if you wanted to solve that u could add 4 to both sides then divide both sides by 2 and get x = 10

Answer:

x = 10

Step-by-step explanation:

2x - 4 = 16

2x = 20

x = 10

Hope that helps!

A new animal hospital is planning to purchase a total of 36 cages for dogs, cats, and
rabbits. They want to purchase the same number of cages for dogs as for cats, but only
one-fourth as many cages for rabbits. How many of each cage should they buy?

Answers

For simplicity’s sake:
D = dogs, C = cats, R = rabbits

Since the dogs and the cats are the same number, we can say C = D.

R = 1/4D

2D + 1/4D = 36

Combine like terms and get the same denominator

9/4D = 36

9D = 144

D = 16

Now we know that D is 16, so C must be 16 as well. That leaves us with 32 cages.

36 - 32 = 4 rabbit cages. To double check this, 1/4 of 16 does equal 4.

Final answer: 16 D, 16 C, 4 R

Number of dogs cages = 16

Number of cats cages = 16

Number of rabbits cages = 4

What is an expression?

Expression in math is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that;

For simplicity’s assume;

D = number of dogs cages, C = number of cats cages,

R = number of rabbits cages.

Since, The dogs and the cats cages are the same number,

We can say, C = D.

Only one fourth as many cages for rabbits,

So, we can formulate,

R = 1/4D

Since, A new animal hospital is planning to purchase a total of 36 cages for dogs, cats, and rabbits.

2D + 1/4D = 36

Combine like terms and get the same denominator;

9/4D = 36

9D = 144

D = 16

So,

Number of dogs cages = 16

Number of cats cages = 16

And, Number of rabbits cages = 36 - (16 + 16)

                                                = 36 - 32

                                                = 4

Thus,

Number of dogs cages = 16

Number of cats cages = 16

Number of rabbits cages = 4

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Find the equation of a line perpendicular to -3x + 5y = -1 that contains the point (0, -5)

Answers

Answer:

y = -5/3x - 5

Step-by-step explanation:

convert -3x + 5y = -1 to slope-intercept form:

5y = 3x - 1

y = 3/5x - 1/5

slope of a line perpendicular to the above equation would be -5/3

y = mx + b

-5 = -5/3(0) + b

b = -5

y = -5/3x - 5

how many terms of arithmetic sequence 3;11;19.... will add up to 1580​

Answers

Answer:1.58

Step-by-step explanation:

The number of terms in the sequence will be 20 adds up to 1580​.

What is an arithmetic sequence?

An arithmetic sequence is defined as an arrangement of numbers that is in a particular order.

The arithmetic sequence is given in the question, as follows:

3; 11; 19....

We have to determine the number of terms of the sequence will add up to 1580​

The sum of an arithmetic sequence is the sum of the first n terms of the sequence as

Sₙ = n/2(2a+(n−1)d)

In arithmetic, here a₁ is the first term and sequence d represents the common difference.

As per the question,

d = 11 - 3 = 8, a = 2 and S = 1580

Substitute the known values in the formula, and solve for n

1580 = n/2(2x3+(n-1)8)

1580 x 2 = n(6 + 8n - 8)

Solving the above equation, we get

n = 20, and -79/4

Thus, the number of terms in the sequence will 20.

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can you solve it using a method? and show work

Answers

Answer:

There are always three ways to solve a system of equationsThere are three ways to solve systems of linear equations: substitution, elimination, and graphing. Let's review the steps for each method.

Which data set COULD NOT be represented by the box plot shown? es ) A) {12, 5, 10, 7, 8, 14, 7, 10, 4, 13,9} B) {8, 12, 7, 8, 4, 9, 10, 12, 6, 14, 13) 0) 14,513, 8, 8, 10, 9, 11, 12, 7.41 D) {6, 4.7.9.8, 8, 12, 10, 12, 13, 13}​

Answers

Answer: the answer is D

Step-by-step explanation: jus got it right on usa test prep :))

The data set which could not be represented by the box plot is

{6, 4, 7, 9, 8, 8, 12, 10, 12, 13, 13}​

Option D is the correct answer.

What is a median?

It is the middle value of the given set of numbers after arranging the given set of numbers in order.

We have,

From the box plot,

Median = 9

Lower quartile = 7

Upper quartile = 12

Maximum = 14

Minimum = 4

Now,

Arrange the number in order.

A)

{12, 5, 10, 7, 8, 14, 7, 10, 4, 13, 9}

= {4, 5, 7, 7, 8, 9, 10, 10, 12, 13, 14}

Median = 9

Lower quartile = 7

Upper quartile = 12

Maximum = 14

Minimum = 4

B)

{8, 12, 7, 8, 4, 9, 10, 12, 6, 14, 13)

= {4, 6, 7, 8, 8, 9, 10, 12, 12, 13, 14}

Median = 9

Lower quartile = 7

Upper quartile = 12

Maximum = 14

Minimum = 4

C)

{14, 5, 13, 8, 8, 10, 9, 11, 12, 7, 4 }

= {4, 5, 7, 8, 8, 9, 10, 11, 12, 13, 14}

Median = 9

Lower quartile = 7

Upper quartile = 12

Maximum = 14

Minimum = 4

D)

{6, 4, 7, 9, 8, 8, 12, 10, 12, 13, 13}​

= {4, 6, 7, 8, 8, 9, 10, 12, 12, 13, 13}

Median = 9

Lower quartile = 7

Upper quartile = 12

Maximum = 13

Minimum = 4

Thus,

{6, 4, 7, 9, 8, 8, 12, 10, 12, 13, 13}​ is not represented by the box plot.

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[tex] \sqrt{2536} [/tex]

Answers

Answer:

50.35

Step-by-step explanation:

50.35 STEP bsnsnakkskskskskkss

¿cuantos pedasos de 1/8 de metro se pueden cortar de 4metros?​

Answers

Answer:

32 pedasos

Step-by-step explanation:

Cantidad de trozos = Metros totales de cable / Cantidad de metros de cada trozo

Help needed with this as soon as possible

Answers

Answer:

1

Step-by-step explanation:

g(-3)=-2(-3)²+3(-3)

      =-18-9

      =-27

The value of (1-w) (1-w*2) , where w is the cube root of the complex number is?

Answers

Answer:

3

Step-by-step explanation:

1+ω+w²=0

ω³=1

(1-ω)(1-ω²)=1-ω²-ω+ω³

=1-ω-ω²+1

=2+1-1-ω-ω²

=3-(1+ω+ω²)

=3-0

=3

what’s the answer please

Answers

Answer:

option c. complementary.

Answer:

answer. option c....

Step-by-step explanation:

option c

54 is 60% of what number? Enter your answer in the box.


PLZ HELP I WILL GIVE BRAINLIEST

Answers

Answer:

90

Step-by-step explanation:

you do 54 ÷ 60% = 90

check:

60% of 90 is 54 .

can I have brainliest.

The Answer XX

The Other Person Shouldn't Have Answered You Said You'd Give Brainliest And Then You Turn Around And Say You Don't Know How You Are Messed Up That Is Sad You Can Tell You Only Wanted The Answer And I'm Not Giving You The Answer To Confirm It Your Messed Up And You Are Also SELFISH

And Go Ahead And Go Off On Me Ill bLaSt Yo AyAs

Calculate the monthly share of annual expenses and find the total monthly expenses.

Annual Expenses: $3,494.04

Living: $475.75

Fixed: $679.65

Monthly share of Annual:

Total Monthly Expenses:

Answers

Answer:

918,14

Step-by-step explanation:

3,494.04

679.65

= 918,14

In the ______ market, corporations and governments typically issue bonds denominated in dollars and sell the to investors located outside the United States.

Answers

Corporates usually issue bonds dollar-denominated as well as sell them to investors based outside of the U.S throughout the Eurobond market.

Eurobond market:Investors, bankers, borrowers, as well as trading agencies participate in the Eurobond market by purchasing, selling, as well as transferring Eurobonds.The introduction of something like the euro as even the united European currency has sparked great interest throughout euro-denominated bonds; nevertheless, some commentators fear that new European Union taxation harmonization initiatives may reduce the bonds' value.

Thus the above solution is correct.

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What is an
equation of the line that passes through the points (8, 5) and (-6, 5):

Answers

Answer:

y=8

Step-by-step explanation:

formula of a line equation

y=MX+c

m=Y2-Y1÷X2-X1

m=5-5÷-6-8

m=0÷-14

m=0

substitution

using (8,5)

8=0(5)+c

8=c

Is a scale factor of K= 8.5
A reduction or Enlargement and please explain why:)

Answers

Answer:

Enlargement

Step-by-step explanation:

Because when 8.5 will be multiplied by a number, it will increase the value of that number by 8.5 times.

Enlargement, when multiplying future points by 8.5, it will only increase.

What percent of the shaded checker board squares do not have pieces?


VERY URGENT PLEASE

Answers

The 25% of the shaded checker board has pieces on it.

What percent of the shaded checker board squares do not have pieces?

To check that, we need to solve the expression below:

Percent = 100%*(# shaded squares with pieces)/(total # of shaded squares)

There are a total of 32 shaded squares, and in 8 of them we can see pieces, then we can replace these values in the formula above to get:

Percent = 100%*(8/32) = 25%

That is the percent of the shaded checker that has pieces.

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A tile is 4 inches long.
If 4 tiles are placed sided by side, what would be the approximate total length in centimeters? (1 in 2.54 cm)
A
10 cm
B
16 cm
с
32 cm
D
40 cm

Answers

Answer:

D 40

Step-by-step explanatio x 4=

urgent ASAP answer!!

Answers

C.

not sure, goodluck. sorry if it’s wrong:)

Of all the eighth graders at the Paxton​ School, 15 played​ basketball, 9 played​ volleyball, 10 played​ soccer, 1 played basketball and soccer​ only, 2 played volleyball and soccer​ only, 1 played basketball and volleyball​ only, and 2 played​ volleyball, basketball, and soccer.

How many played one or more of the three​ sports?

Answers

Answer:

32

Step-by-step explanation:

17 out of 20 lung deserves are curable; what is the percentage of lung diseases that are curable? Yes, but how did you get that answer

Answers

Answer:

85%

Step-by-step explanation:

This problem can be solved by dividing the number of cured cases by the total number of cases (17/20). In order to verify this you can see what number 20 can be multiplied in order to get 100 (5). You can then multiply this by 17 in order to get the number of cured cases out of 100 (the definition of percent)

how to get the answer for 2 3/4 gallons and 5/8 to equal 1 23/32

Answers

Answer:

jhwgehebf

Step-by-step explanation:

bwjsfehoal topu

In triangle ABC , M and N are midpoints of sides. If MN = 2x + 5 and BC = x2 − 2, find the possible lengths for MN.
A. 17
B. 6 and 2
C. 1 and 17
D. 2 and 34

Answers

Answer:

A.17

Step-by-step explanation:

The possible lengths for MN are 17 and 1, so the correct answer is C. 1 and 17

How to get the lengths

Since MN = 2x + 5 and BC = x^2 − 2, we can write the equation

[tex]2x + 5 = (1/2)(x^2 - 2)[/tex]

Solving for x, we get:

[tex]2x + 5 = (1/2)(x^2 - 2)[/tex]

[tex]4x + 10 = x^2 - 2[/tex]

0 = [tex]x^2- 4x-12[/tex]

0 = (x - 6)(x + 2)

This equation has two solutions: x = 6 and x = -2.

Substituting these values into the expression for MN, we find that MN can have two possible lengths:

MN = 2(6) + 5 = 17 or

MN = 2(-2) + 5 = 1.

Therefore, the possible lengths for MN are 17 and 1, so the correct answer is 17 and 1.

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A survey was carried out on 40 travelers . 12 of them said they had traveled to Ghana and not to Cameroon. 8 said they had travelled to Cameroon and not Ghana. 10 said they had not traveled to either one of the countries. Draw a Venn diagram to find 1. The number of travelers that had gone to both countries before. 2. The number of travelers that had gone to Ghana before.


It’s urgent.

Answers

Answer:

10 ; 22

Step-by-step explanation:

Ghana = G

Cameroon = C

Cameron only = 8

Ghana only = 12

Total sampled = 40

Both Ghana and Cameroon = x

Not traveled to either = 10

Ghana only + Cameroon only + both Ghana and Cameroon + not traveled to either  = total sampled

12 + 8 + x + 10 = 40

30 + x = 40

x = 40 - 30

x = 10

Number that had gone to Ghana before :

Ghana only + both

12 + x

12 + 10

= 22

Answer:

Step-by-step explanation:

What fractions are the same

Answers

Ohhhhhh I get it I thought something else

Answer:

equivalent fractions

Step-by-step explanation:

When fractions have different numbers in them, but have the same value, they are called equivalent fractions. Let's take a look at a simple example of equivalent fractions: the fractions ½ and 2/4. These fractions have the same value, but use different numbers.

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