A little girl counts using the fingers of her left hand as follows: She starts by calling her thumb 1, the first finger 2, middle finder 3, ring finger 4, and little finger 5. Then she reverses direction, calling the ring finger 6, middle finger 7, first finger 8 and thumb 9, after which she calls her first finger 10 and so on. If she continues to count in this manner, on which finger will she stop?
a) What if the girl counts from 1 to 10?
b) What if the girl counts from 1 to 100?
c) What if the girl counts from 1 to 1000?

Answers

Answer 1

Answer:

(a) Index finger

(b) Ring finger

(c) Index finger

Step-by-step explanation:

Taking thumb as standard for the question.

Thumb series 1 , 9 , 17 ,25, 33......

general term for this

a(n) = 1 + (n-1)8

      = 1 + 8n -8

       = 8n -7

(a) For 1 to 10

     8n -7 = 10

     8n = 16+1 (remainder)

so the thumb is for 9 and the next is index finger.

10th = index finger.

(b) for 1 to 100

    8n - 7 = 100

      8n= 107

     107 = 13x 8 + 3(remainder)

so the third finger from thumb is Ring finger

100th = Ring finger

(c) 8n - 7 = 1000

   8n = 1007      

 1007= 125x8 +7 (remainder)

so the 7th finger next to thumb is Index finger

1000th = index finger


Related Questions



please help.it’s the second question. the one in the middle

Answers

Answer:

1,024

Step-by-step explanation:

Answer:

past number gets multiplied by 2 and so on

Step-by-step explanation:

2,4,8,16,32,64,128,256,512,1024

What is the equivalent fraction for 2/3??

Answers

c. 4/6

This is the answer

Answer:

C. 4/6

Step-by-step explanation:

2*2=4

3*2=6

4/6

In triangleABC, a = 1.4 cm, b = 1.5 cm and c=1.5 cm. Find the measure of angleA to the nearest 10th of a degree.​

Answers

Answer:55.6

Step-by-step explanation:

Answer:

55.6

Step-by-step explanation:

Find two numbers whose sum is 45 and whose difference is 19.

Answers

Answer: 32 and 13

Step-by-step explanation:

32+13=45

32-13=19

Answer:

32 and 13

Step-by-step explanation:

Graph the piecewise function.

Answers

I think the graph below is correct.

The value 6 is 15% of what amount?
O A) 40
O B) 0.9
O C) 90
OD) 0.4

Answers

40 because 15 percent (calculated percentage %) of what number equals 6? Answer : 40


12. The probability a basketball player making a free-throw
is .84, what are the odds against making a free-throw?

Answers

Answer:

The odds against making a free throw are: 0.1905 or 0.16:0.84

Step-by-step explanation:

The odds can be categorized into two categories

Odds-againstOdds-in favour

The odds against is the ratio of probability of failure to probability of success.

Given

Probability of making a free throw = P = 0.84

Probability of not making a free throw = Q = 1-P = 1-0.84 = 0.16

The formula for odds-against is:

[tex]Odds-against = \frac{0.16}{0.84}\\= 0.19047..\\=0.1905[/tex]

Hence,

The odds against making a free throw are: 0.1905 or 0.16:0.84

Alana makes and sells homemade bracelets. She made a profit of $65 last week. This week, she donated some bracelets to charity. Her profit at the end of this week can be represented by -$25. Write a subtraction expression and an addition expression to represent Alana’s total profit for two weeks combined.

Answers

Answer:

$65 + $(-25) = $40

$65 - $25 = $40

Step-by-step explanation:

Profit made last week = $65

Profit made this week = - $25

Addition expression for her profit over the two weeks

Last week profit + this week's profit:

$65 + $(-25) = $40

Subtraction expression for her profit over the two weeks :

$65 - $25 = $40

Carrie earns $8.50 per hour for tutoring her little brother. How many hours must Carrie tutor to earn $408?

Answers

Answer:

48 hours

Step-by-step explanation:

The number of hours that Carrie must tutor to earn $408 will be 48 hours.

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Carrie earns $8.50 per hour for tutoring her little brother.

Let x be the number of hours. Then the equation is given as,

8.50x = 408

Simplify the equation, then we have

x = 408 / 8.50

x = 48 hours

The number of hours that Carrie must tutor to earn $408 will be 48 hours.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

Which choice below shows the value of 2.16? Choose all that apply.
Group of answer choices

two and six hundredths

2 + 0.1 + 0.06

2 + 0.01 + 0.06

two and sixteen

2 + 0.16

two and sixteen hundredths

Answers

Answer:

2 + 0.1 + 0.06

2 + 0.16

two and sixteen hundredths

Two and sixteen hundredths

HELPPPP
Evaluate the expression for x = 3 and y = 4.
A) -3/2
B) -9/16
C) -3/A
D)-914

Answers

Answer:

D) -9/4

Step-by-step explanation:

-4(3)³/3(4)²

-4(27)/3(16)

-108/48

divides both by 12

- 9/4

the answer is d im pretty sure

simplify 3^(5)*3^(4)

Answers

3^9 is going to be the answer
What they said buddy

Use intercepts to graph the line described by the equation 5x − 5y = 10.

Answers

i hope this is the correct answer, here u go !

What is the equation for line D?

a. y = 2.5x
b. y = x + 10
c. y = -x + 10
d. y = -x + 60

Answers

Answer:

D

Step-by-step explanation:

Find the total surface area of the following
cone. Leave your answer in terms of m.
12 cm
5 cm
Hint: Surface Area of a Cone = url + B
Where l = slant height, and B = area of the base
S.A. = [? ]n cm?

Answers

Answer:

[tex]S.A.=90\pi~cm^2[/tex]

Step-by-step explanation:

Surface Area of a Cone

Given a cone of base area B and slant height L, the surface area can be calculated with the formula:

[tex]S.A.=\pi rL +B[/tex]

The cone presented in the image has a circular base of radius r=5 cm, thus its base area is:

[tex]B=\pi r^2[/tex]

[tex]B=\pi 5^2[/tex]

[tex]B=25\pi~cm^2[/tex]

The slant height can be calculated as the hypotenuse of a right triangle with legs 5 cm and 12 cm by using Pythatgora's Theorem:

[tex]L^2=5^2+12^2[/tex]

[tex]L^2=25+144=169[/tex]

Taking square roots

[tex]L = \sqrt{169}[/tex]

L = 13 cm

The surface area is:

[tex]S.A.=\pi (5~cm)*13~cm +25\pi~cm^2[/tex]

Operating:

[tex]S.A.=65\pi~cm^2 +25\pi~cm^2[/tex]

[tex]\mathbf{S.A.=90\pi~cm^2}[/tex]

Answer:

90

Step-by-step explanation:

What prime is 4 greater than a perfect square and 7 less than the next perfect square?

Answers

Answer:

29

Step-by-step explanation:

The squares cannot be very big. For example the difference between 10^ and 11^2 = 100 to 121 which is a difference of 21.

What you are talking about is x + 4 prime + 7 next square.

Write the squares

1

4

9

16

25

36

add 4 to get to the prime, add 7 to get to the next square. That's 12

1 and 4 have a difference of 3 too small

4 and 9 have a difference of 5 too small

9 and 16 have a difference of 7 which is too small

16 and 25 have a difference of 9 which just a little too small.

25 and 36 has a difference of 11. Just right

25 + 4 = 29

29 + 7 = 36

Just right.

What is the slope of the line?
a. 3
b. 1/3
c. -1/3
d. -3

Answers

Answer:

B. 1/3

Step-by-step explanation:

If you look at points (-3,0) and point (0,1). Then you would see the it would take one unit up and 3 units right this would make the slope be 1/3.

For questions 3 - 5, use the FOIL method to find the product of the binomials.
3. (2x+3)(x + 1)
4. (x - 5)(3x + 2)
5. (x2 + 2)(5x + 1)


Please make it a easy way to understand.

Answers

Answer:

Step-by-step explanation:

20. Given f(x) = 2x + 9, if f(x) = 15, find x.

Answers

Answer:

the answer is located in the screenshot that is attached.

Step-by-step explanation:

The work is also in the screenshot attached. Hoped this helped!

The value of x if f(x) = 15 in the given function is 3

From the question,

We were given the function f(x) = 2x + 9

To determine the value of x if f(x) = 15, we will put f(x) to be equals to 15 and then solve for x in the equation

That is,

f(x) = 2x + 9

Since f(x) = 15

∴ 15 = 2x + 9

Now, to solve the above equation,

First, subtract 9 from both sides

That is,

15 - 9 = 2x +9 -9

6 = 2x

Then, we can write that

2x = 6

∴ x = 6 ÷ 2

x = 3

Hence, the value of x if f(x) = 15 in the given function is 3

Learn more here: https://brainly.com/question/19872526

PLEASE PLEASE PLEASE HELP ASAP

Write an equation in slope-intercept form of a line with a y-intercept of 11 and slope the same as the line whose equation is y = -3x + 9

Answers

answer:

y=11x+11?

Step-by-step explanation:

from what i got from the equation it sounds like this might be the answer doory ^^'

Please help!!!!!!!!!!​

Answers

Answer:

x=81

Step-by-step explanation:

I am 100% sure you can go with it

Need some help here please.

Answers

Answer:

C

Step-by-step explanation:

Begin by isolating y

-6y = - x - 1

Divide everything by -6

y = -x/-6 - 1/-6

y = x/6 + 1/6

Now you want the perpendicular

m1 * m2 = - 1

m1 = 1/6

1/6 * m2 = -1

multiply by 6

m2 = - 6

That's C

Sophie buys x packages of graph paper for $2.55 each (tax included). She pays with a $20 bill.
Write an algebraic expression to represent the amount of change the cashier should give back to Sophie.

Answers

Answer:

x=$20/$2.55.

Step-by-step explanation:

if each package is $2.55 then and it cost $20 then you will have to divide the numbers wich will give u x

Answer:

20 - 2.55x

Step-by-step explanation:

20 is the dollar bill Sophie bought the packages with,  x represents the number of packages bought and 2.55 is the price for each, so by subtracting 20 by the cost of the total packages results in the amount of change the cashier should give back to Sophie.

For example, if Sophie bought 3 packages of graph paper with a $20 bill the cashier should give back to Sophie $12.35.

20 - 2.55 (3)

20 - 7.65  

12.35

hope this helps!

Mr.Turner invested $8,000 in an account for his daughter’s college education. The account pays 5% interest, compounded yearly. How much will Mr.Turner have in the account after 4 years to the nearest dollar?

Answers

Answer:

$9,724.05

Step-by-step explanation:

8000(1+.05)^4= 9724.05

sry if im wrong :)

The amount after 4 years will be equal to $9,724.05

What is compound interest?

The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest.

Compound interest is the interest levied on the interest. The formula for the calculation of compound interest is given as:-

Given that Mr.Turner invested $8,000 in an account for his daughter’s college education. The account pays 5% interest, compounded yearly.

The amount after 4 years will be calculated as:-

[tex]A = P ( 1 + \dfrac{r}{100})^{nt}[/tex]

[tex]A = 8000 ( 1 + \dfrac{5}{100})^{4}[/tex]

A =  9724.05

Therefore, the amount after 4 years will be equal to $9,724.05.

To know more about Compound interest follow

https://brainly.com/question/24924853

#SPJ5


Please help !!!!!!!!!

Answers

Answer:

4,5

Step-by-step explanation:

I think it is 4,5. It says reflection of it across the line, and it is in the 4th quadrent, so that -5 will become a positive 5, and the 4 will stay the same.

I need help someone please

Answers

Answer: [tex]\frac{6}{2}[/tex]

Step-by-step explanation:

1. Use this [tex]\frac{f(b)-f(a)}{b-a}[/tex] to find the average rate of change

2. Average rate of change = [tex]\frac{f(8)-f(6)}{8-6}[/tex]

3. [tex]f(8) = - 4[/tex] and [tex]f(6) = -10[/tex] (To find these you will need to look at the points on the graph. So the points (8,-4) and (6,-10))

4. Replace -4 to f(8) and -10 to f(6)

5. So it will look like[tex]\frac{-4-(-10)}{8-6}[/tex]

6. Solve [tex]\frac{6}{2}[/tex]

-3x+2y=-39 and 5x+4y=21

Answers

Answer:

X= 9

Y = -6

Step-by-step explanation:

first of all setting up the equation and solve it like a system of linear equations

5x+4y=21

-3x+2y=-39

then multiply -2 on the entire second equation

5x+4y = 21

6x-4y= 78

then eliminate the 4ys and you get

11x = 99

x = 9

lastly subsititue the 9 back into one of the original equations

5(9) + 4y =21

45 + 4y = 21

4y = -24

y = -6

Answer:

-3x+2y=-39

2y=-39+3x

y=-39+3x÷2 equation 1

5x+4y=21 equation 2

5x+4(-39+3x)÷2=21

5x+2(-39+3x)=21

5x+(-78)+6x=21

5x-78+6x=21

5x+6x-78=21

11x-78=21

11x=21+78

11x=99

x=99÷11

x=9

putting value of equation 2 in equation 1

y=-39+3x÷2

y=-39+3×9÷2

y=-39+27÷2

y=-12÷2

y=-6

x=9 and y=-6 answer

hope this may help you !!!!

1. Find the slope of a line that passes through (-2,-3) and (1,1).

2. For the equation-4=8x, what is the constant of variation

3. Suppose y varies directly with x, and y=24 when x=8. What is the value of y when x=10

Answers

Answer:

1:

m=4/3

2:

-2

3:

First, you want to set up a proportion.

8/24 = 10/y

Cross multiply to get

240 = 8y, then divide 8 from both sides to get y = 30.

Which of these tables represents a function?

Answers

the first one :)

apparently brainly needs 20+ characters so ejsorjxlhelehIwbekzheknf

How would I create a graph for this equation? The equation is c=4.95+3.99b

Answers

Answer:

C is your y intercept 3.99b is your slope

Step-by-step explanation:

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