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

How do I solve this equation and check the solutions?

Answers

Answer:

The value of x is 10.

Step-by-step explanation:

The steps to do this :

[tex]x - \sqrt{2x + 5} = 5[/tex]

[tex]x - 5 = \sqrt{2x + 5} [/tex]

[tex] {(x - 5)}^{2} = {( \sqrt{2x + 5}) }^{2} [/tex]

[tex] {x}^{2} - 10x + 25 = 2x + 5[/tex]

[tex] {x}^{2} - 12x + 20 = 0[/tex]

[tex] {x}^{2} - 2x - 10x + 20 = 0[/tex]

[tex]x(x - 2) - 10(x - 2) = 0[/tex]

[tex](x - 2)(x - 10) = 0[/tex]

[tex]x = 2 \: (rejected)[/tex]

[tex]x = 10[/tex]

Kenny wants to take his dog to obedience school. At sit and Stay School, 12
lessons cost $96. At Canine Community Center, 25 lessons cost $125. Which is
the better deal?
Dog Obedience Lessons
Location
Price
Sit and Stay School
$96/12 lessons
Canine Community Center
$125/25 lessons
Fill in the blanks to solve the problem.
304 QUESTIONS
The unit rate for lessons at Sit and Stay School is
$96 -96
12 lessons -12
$1
1 lesson
The unit rate for lessons at Canine Community Center is
Select
The lower unit rate is
Select
The lessons at
Select
are the better deal
SUBMIT​

Answers

Answer: See explanation

Step-by-step explanation:

At sit and Stay School, 12 lessons cost $96. The unit rate for each lesson will be:

= $96/12 = $8

At Canine Community Center, 25 lessons cost $125. The unit rate will be:

= $125/25 = $5

The better deal is at Canine Community as it's cheaper.

The unit rate for lessons at Sit and Stay School is $8 per lesson

The unit rate for lessons at Canine Community Center is $5 per lesson

The lower unit rate is $5 which is that of Canine Community.

The lessons at Canine Community are the better deal.

What is the solution of 6d + 6 - 4d = 12 ?

Answers

D=3 is the answer for this equation
d=3

if u were to check
6(3)+6-4(3)=12
18+6-12=12
24-12=12
12=12

PLEASE HELP! I'M STUCK!

Answers

I hope this attachment helps!!

Solve 17 < 5x – 8 < 22. How many integer solutions are there?

Answers

Answer:

0

Step-by-step explanation:

To find the number of integer solutions there are to the inequality, we need to  separate [tex]x[/tex] so it is on its own.

[tex]17<5x-8 < 22[/tex] (given inequality)

[tex]25 < 5x < 30[/tex] (add [tex]8[/tex] )

[tex]5 < x < 6[/tex] (divide by [tex]5[/tex] )

Since there are no integers between [tex]5[/tex] and [tex]6[/tex], it means there are 0 integer solutions for the inequality [tex]17 < 5x - 8 < 22[/tex].

Hope this helps :)

Help rn please!!! Urgent

Answers

Answer:

try 3 i need 20 more letters

Answer:

f(x) = 2x^2 + 12x +10

Step by step solution:

x = 1 x = 5 y = 10

f(x) = a(x+1)(x+5)

f(0) = a(1)(5) = 10

5a = 10

Divide by 5

a = 2

f(x)= 2(x+1)(x+5)

f(x) = 2(x^2 +6x +5)

f(x) = 2x^2 + 12x +10

brainliest much appreciated!

An online media service offers video and music downloads. Each download of a song costs $1. Each download of a video costs 5 times as much as the song download. You have a credit of $70. How many songs can you purchase after buying 12 videos?

Answers

Answer:

5.83

Step-by-step explanation:

70 / 12

Answer:

6.3

Step-by-step explanation:

You want to add 1, 5, and 70 up. Then you would get 76. Next you want to divide 76 into 12. And there you go, 6.3 is the answer

(I hoped this helped. This was a bit confusing to me and difficult but i wanna try to be useful for once lol..)

+ 19=20+24
A 11
B 13
C 15
D 25

Answers

Answer:

its D 25

i just know stuff

After restocking the vending machine, Sonya determined that 2 packs of mints were sold for every 6 packs of gum. If a total of 160 packs of candy were sold, how many were packs of gum?

Answers

Answer:

80

Step-by-step explanation:

160÷2=80 yay!!!!!!!!!!!

Answer:

(By mints I hoped you meant candy) 480 packs of gum

Step-by-step explanation:

2 packs of candy for every 6 packs of gum. Divided beach side by two to get ration of 1:3. This means that for every 1 pack of candy 3 packs of gum are sold. 160 x 3 = 480.

The function g(x) is a transformation of f(x). If g(x) has a y-intercept of -2, which of the following functions could represent g(x)?

A. g(x) = f(x) - 5
B. g(x) = f(x - 5)
C. g(x) = f(x) - 2
D. g(x) = f(x + 2)

Answers

Answer:

A.

Step-by-step explanation:

It just is trust

In ATUV, Y is the centroid.
If YU = 9 then what is ZY and ZU

Answers

Answer:

I need more information.... ??

Step-by-step explanation:

If YU = 9 then what is Zy and ZU

2 3/4 divided by 1 1/2

Answers

Answer:

1/2

Step-by-step explanation:

Answer:

1 5/6

Step-by-step explanation:

HELP ME PLS!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

1) Yes because the slope, 10x, is constant

2) Yes for every 1 hour of baby sitting $10 dollars is earned.

Consider Brainliest!

slope = 2; y-intercept = -1
HELP PLS what's the answer

Answers

Answer:

The question is incomplete but I assume you want to find the equation of a straight line with those details. Well the equation of a straight line is y=mx+c where m is the slope and c is the y-intercept

Therefore y=2x-1 is the equation of the line

Answer:

y=2x-1

Step-by-step explanation:

BRAINLIEST PLSSS

893.76 divided by 0.21

Answers

893.76/0.21=4256
Hope this helps and have a nice day/night!!!

Answer:

4.265

Step-by-step explanation:

893,76/  0,21=  4.265

-1/2(12x – 4) = 38
what does x equal

Answers

Answer:

x=−6

Step-by-step explanation:

Theratiooftheredcardstoblackcardsinadeckis3:10 2 more red cards are added to the deck.
The ratio of red cards to black cards is now 1:3 Work out the number of black cards in the deck.

Answers

Cant solve this question

An airline has two flights each day from City A to City B. A random sample of 10 morning flights left the gate an average of 15 minutes late with a standard deviation of 5 minutes. A random sample of 10 evening flights left the gate an average of 20 minutes late with a standard deviation of 3 minutes. Suppose both the morning and evening flights are 30 minutes late. To determine which flight is more late than usual, first find the z-scores. Round to one decimal place if necessary.

Answers

Answer:

Step-by-step explanation:

Let X denote the random variable that obeys the normal distribution.

Given that:

For morning flights

Mean [tex]\mu_1[/tex] = 15

standard deviation [tex]\sigma_1[/tex] = 5

Sample size [tex]n_1[/tex] = 10

[tex]X_1 \sim Normal ( \mu_1, \sigma _1)[/tex]

The Z - score is calculated as:

[tex]Z = \dfrac{x_1 - \mu_1}{\sigma_1}[/tex]

[tex]Z = \dfrac{30 -15}{5}[/tex]

[tex]Z = \dfrac{15}{5}[/tex]

Z = 3

For evening flights

Mean [tex]\mu_2[/tex] = 20

standard deviation [tex]\sigma_2[/tex] = 3

Sample size [tex]n_2[/tex] = 10

[tex]X_2 \sim Normal ( \mu_2, \sigma _2)[/tex]

[tex]Z = \dfrac{x_2 - \mu_2}{\sigma_2}[/tex]

[tex]Z = \dfrac{30 -20}{3}[/tex]

[tex]Z = \dfrac{10}{3}[/tex]

Z = 3.33

Hence, from the above z-scores, we will realize that the evening flight is more late than usual.

find the y intercept

Answers

Answer:

(0,12)

Step-by-step explanation:

As you can see from the chart, when x increases by 10, y increases by 20. We can assume that because of this porportional relationship, when x increases by 1, y will increase by 2. We're looking for the y-intercept, in other words we need to get x to 0. So if we subtract x by 16, we must take 32 away from 44(the y-value), because of this porportional relationship.  That gets us an x value of 0, and a y value of 12. (0,12) would be the y-intercept.

Write a linear equation to represent this

Answers

I think is Y=5x+20
Hope you get it right!
:D

What is the equation of this graphed line?

Answers

Answer:

[tex]y=-\frac{9}{8} x+7[/tex]

Step-by-step explanation:

The slope is found by doing the equation [tex]\frac{rise}{run}[/tex]. When looking at the first two points, it's shown that the rise (difference between the two y values) is -9 (since it decreased by 9) and the run (difference between the two x values) is 8 (since it increased by 8). This makes the slope equal [tex]-\frac{9}{8}[/tex].

The y intercept is found by looking at the y value when x = 0. In this picture, it is clear that it is 7.

The equation you want to use is y = mx + b , where b is the y intercept and m is the slope. Just plug in the numbers and you got your equation!

Question 6 (5 points)
(03.02 MC)
What is the length of the third side of the window frame below? (5 points)
(Figure is not drawn to scale.)


30 inches
36 inches
50 inches
75 inches

Answers

Answer:

30 inches

Step-by-step explanation:

using a^2+b^2=c^2

72^2=5184

30^2=900

5184+900=6084

√6084=78

Answer:

30

Step-by-step explanation:

Determine if each statement is true or false.
a) If a number is divisible by 10, then its ones digit is 0.
b) If a prime number is greater than 2, it is odd.
c) If a number is a perfect square, then it has only 3 factors.
d) If 21 -5 = 13, then I=4.
: True
*: False

Answers

Answer:

a. true

b. false

Step-by-step explanation:

A florist prepares an order of daisies and roses. For every 5 daisies she orders 2 roes. What 2 equations show the relationship between the number of daisies d and the number of roses r ?

Answers

Answer:

[tex]d = 2.5r[/tex] and [tex]r = \frac{d}{2.5}[/tex]

Step-by-step explanation:

Given

5 daises to 2 roses

Required

Determine the relationship between them

The question shows a direct proportion between number of daises and roses.

i.e.

[tex]d\ \alpha\ r[/tex]

Where d = daises and r = roses

Convert the above expression to an equation

[tex]d = kr[/tex]

Make k the subject

[tex]k = \frac{d}{r}[/tex]

When d = 5 and r = 2;

[tex]k = \frac{5}{2}[/tex]

[tex]k = 2.5[/tex]

So, the first relationship between d and r can be gotten by substituting 2.5 for k in d = kr

So:

[tex]d = 2.5 * r[/tex]

[tex]d = 2.5r[/tex] ----------- (1)

Make r the subject in (1)

[tex]r = \frac{d}{2.5}[/tex] ------------------------(2)

Hence, the relationships between d and r are:

[tex]d = 2.5r[/tex] and [tex]r = \frac{d}{2.5}[/tex]

QUICK HELP ITS DUE IN 10 EEEEEEEEEEE

Answers

Answer:

the answer is b

Step-by-step explanation:

pls give me brainliest plsss i gave you answer

On a coordinate plane, which axis is the horizontal axis, and which is the vertical axis? Is there a way to graph points that are not whole numbers? How do you think you can do that? Describe some real-world situations that remind you of the coordinate plane.

Answers

Answer:

Horizontal axis is X

Vertical Axis is Y

You can graph points that are not whole numbers, you just have to add more lines or estimate where the point may be

Battleship maybe? Or like the longitude and latitude on a map?

A map is a real-world example of a coordinate plane.

What is a coordinate plane?

A coordinate plane is a rectangular plane consisting of a horizontal and a vertical axis.

On a coordinate plane, the x-axis is the horizontal axis, and the y-axis is the vertical axis.

To graph the points that are not whole numbers, use the grid lines on the graph to estimate the position of the point.

A map is a real-world example of a coordinate plane.

Learn more about the coordinate planes:

https://brainly.com/question/24134413

#SPJ3

Marco buys a certain brand of shampoo for $7.25 plus 7.5% tax. How much will Marco pay in total for the shampoo? (Round your answer to the nearest hundredth)

Answers

Answer:

$6.35

Step-by-step explanation:

Answer:

$7.79

Step-by-step explanation:

7.25 + 7.25(0.075)

7.25 + ~0.54

7.79

plz help GET LOTS OF POINTS!!!!!!
The trend line passes through points (2,5) and (6,11). What is the slope of the trend line?

What is the y-intercept of the trend line?

Y=___X +___

Answers

Answer:

slope = 3/2

y intercept = 2

y = 3/2x + 2

Step-by-step explanation:

to find the slope you will you (y₂-y₁) ÷ (x₂-x₁)

(11-5) ÷ (6-2) =

6 ÷ 4 = 3/2

slope = 3/2

to find the y intercept you with use the slope intercept formula (y = mx+ b) and use one point given for x and y

for the example im going to use the point (2,5)

5 = 3/2 (2) + b

5 = 3 + b

subtract three from both sides to find b (y-intercept)

b = 2

What is the first step in evaluating (12.9 – 3.1) × 6.2 – 2 + 43

Answers

Answer:

101.76

Step-by-step explanation:

Answer:

(12.9 - 3.1) i'm in middle school so if i can do it you can

Step-by-step explanation:

Which of the following inequalities is correct?

-9 ≥ -7
-10 > |-10|
6 ≤ |-6|
0 < -13

Answers

Answer:

The last one

Step-by-step explanation:

Answer:6 should be right

Step-by-step explanation: since the absolute value of -6 is 6, it satisfies the equation

|-6|=6

6 is less than or EQUAL to 6

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