A row of tiny red beads is placed at the beginning and at the end of a 20‐centimeter bookmark.
A row of the same beads is also placed every 4 millimeters along the bookmark.
How many rows of the beads are used on the bookmark?

Answers

Answer 1

Answer:

51 rows

Step-by-step explanation:

Given

Length of bookmark = 20cm

Distance between beads = 4mm

Required

Number of rows of beads

First, the distance between the rows of beads must be converted to cm

if 1mm = 0.1cm

then

4mm = 4*0.1cm

4mm = 0.4 cm

This means that each row of beads is placed at 0.4 cm mark.

The distance between each row follows an arithmetic progression and it can be solved as follows;

[tex]T_n = a + (n-1)d[/tex]

Where [tex]Tn = 20cm[/tex] (The last term)

[tex]a = 0 cm[/tex] (The first term)

[tex]d = 0.4cm[/tex] (The distance between each row of beads)

n = ?? (number of rows)

Solving for n; we have the following;

[tex]T_n = a + (n-1)d[/tex] becomes

[tex]20 = 0 + (n-1)0.4[/tex]

[tex]20 = (n-1)0.4[/tex]

DIvide both sides by 0.4

[tex]\frac{20}{0.4} = \frac{(n-1)0.4}{0.4}[/tex]

[tex]50 = (n-1)[/tex]

[tex]50 = n-1[/tex]

Add 1 to both sides

[tex]50 + 1= n-1 + 1[/tex]

[tex]n = 51[/tex]

Hence, the number of rows of beads is 51


Related Questions

Using coordinates in proofs 2
Simplify QP

Answers

Answer:

First Slot is B and the second slot is A

Step-by-step explanation:

B is in the x coordinate

A is in the y coordinate

And when you look at the formula it should make sense ;D

If (x + 8) is a factor of f(x), which of the following must be true?
GOF
Both x = 8 and x = 8 are roots of f(x).
Neither x = -8 nor x = 8 is a root of f(x).
F-8) = 0
f(8) = 0

Answers

Answer:

f(-8) = 0

Step-by-step explanation:

If (x+8) is a factor of f(x), then for some expression p, we have ...

  f(x) = (x+8)p

Evaluated at x=-8, this gives ...

  f(-8) = (-8+8)p = 0p

  f(-8) = 0 . . . . must be true

_____

Similarly, f(8) = (8+8)p = 16p. This may or may not be zero, depending on the factors of p. The only offered statement that must be true is the one shown above.

Answer:

F-8)= 0 hope this helps!!!!!

Step-by-step explanation:

What is the equation of the line that passes through (4, 2) and is parallel to 3x - 2y = -6?
A.
3
y=--x+8
2
B.
3
y = -x-4
2
C.
y = -X
2
D.
2
y = -x-4
3

Answers

Answer:

Unfortunately I can't read your answer options properly. The copied text is just too messed up. But hopefully the step-by-step calculation will help you.

Lemme know if it worked for you and if you have further questions.

Step-by-step explanation:

3x - 2y = -6

can be rewritten as

2y = 3x + 6

or simpler

y = 1.5x + 3

we know that it's parallel to this line, but we don't know how much lower or higher the new line will be, so let's set "+3" as an unknown variable.

y = 1.5x + b

(the letter b is now what we try to solve for)

now let's plug in the x-/y-Informations of the given point

2 = 1.5 * 4 + b

2 = 6 + b

-4 = b

so the new line is

y = 1.5x -4

(the given point lies on that line and it's parallel to the other line)

let's multiply everything by two to get closer to the original format

2y = 3x -8

it could also be expressed as

2y = -(-3x+8)

(in hope that this may help for choosing an answer option)

please clean up the text of questions before posting next time

(would really appreciate the brainliest)

Kelly contracts with Raphael for Raphael to bring a pony to her daughter's birthday party in exchange for $100. Kelly later learns her daughter is frightened of ponies. She contacts Raphael and Raphael agrees to bring a donkey to the party for $50 instead. What is true of the original agreement involving the pony and the $100?

Answers

Answer:

It was discharged by substituted contract

Step-by-step explanation:

In this situation, instead of simply canceling their original contract and terminating their interaction, Raphael and Kelly reached another agreement and stablished a substituted contract in place of the original one.

Therefore, the original agreement involving the pony and the $100 was discharged by substituted contract .

3/4 + ( 1/3 divided by 1/6 ) - (-1/2)

Answers

Answer:

3.25

Step-by-step explanation:

G = 3t2 - 5t + 6
P = -8t2 + 7t - 9
G + P =
Your answer should be a polynomial in standard form.

Answers

Answer:

-5t^2+2t-3

Step-by-step explanation:

Dada la siguiente ecuación y= 4x +3
Graficar la ecuación (Utilice tabla)
Encontrar la pendiente de la ecuación (utilice la siguiente fórmula m=(y_2y_1)/(x_2-x_1 ))
Encontrar el ángulo de inclinación (utilice la siguiente fórmula α=arc tan⁡m)
Dada la siguiente ecuación y= -4x -2
Graficar la ecuación (Utilice tabla)
Encontrar la pendiente de la ecuación (utilice la siguiente fórmula m=(y_2y_1)/(x_2-x_1 ))
Encontrar el ángulo de inclinación (utilice la siguiente fórmula α=arc tan⁡m)

Answers

Answer:

The given equation is

[tex]y=4x+3[/tex]

To graph this equation, we need to create a table for all the coordinates pairs.

 X      Y

 0      3

-3/4    0

So, we have two points, (0,3) and (-3/4, 0). Now, we graph them to draw a straight line as the image attached shows.

To find the slope, we use those points.

[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }=\frac{0-3}{-\frac{3}{4} -0} =\frac{-3}{-\frac{3}{4} }\\ m=4[/tex]

So, the slope is 4.

The angle of inclination is found by the formula

[tex]tan \theta = m[/tex]

Where [tex]\theta[/tex] is the angle and [tex]m[/tex] is the slope.

[tex]\theta = tan^{-1}(4) \approx 76\°[/tex]

Therefore, the angle of inclination is 76°, approximately.

If the triangle's sides are a base that is 4 inches, a height that is 3 inches, and the other side that is 5 inches, what is the area of that triangle?

Answers

Answer:

6 in ^2

Step-by-step explanation:

divide side lengths by two and add those numbers

If A and B are independent events and P (A) and P(B) are both greater than 1/2 then P(A and B) is Greater than 1.

Answers

Answer:

Step-by-step explanation:

no

as

P(A∩B)=P(A)×P(B)

and P(A)>1/2

also

P(A)≤1

similarly P(B)>1/2

and

P(B)≤1

P(A)×P(B)≤1

so P(A and B) not greater than 1

Igor and sally both ran the same distance. Igor completed the distance in 2 hours. His average speed was 6 miles per hour. Sally completed the distance in 4 hours. What was Sally’s average speed for the journey give your answer in mph

Answers

Answer:

Sally ran an average of 3 mph

Step-by-step explanation:

If Igor's average speed was 6mph and he completed the distance in 2 hours and Sally completed it in 4 hours that means that she took twice as long as Igor and Igor's 6mph divided by two is 3, so Sally went an average of 3 mph

If G is the midpoint of
FH,
find FG.

Answers

Answer:

15

Step-by-step explanation:

15 is the answer because i looked it up

The required value of segment FG is 67 if G is the midpoint of FH.

What is a Line Segment?

A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.

The figure given below shows a line segment FH, where the length of line segment FHrefers to the distance between its endpoints, F and H.

Given that G is the midpoint of FH

FG = 14x + 25 and  GH= 73 - 2x,

To determine the value of FG

F______________G______________H

⇒ FH= FG+ GH

Since G is the midpoint of FH, SoFG = GH

⇒  FH = FG+ GH

⇒ FH = 2FG

⇒ FG = GH

Substitute the values of FG = 14x + 25 and  GH = 73 - 2x,

⇒ 14x + 25 = 73 - 2x

⇒ 14x + 2x = 73 - 25

⇒ 16x = 48

⇒ x = 48/16

⇒ x = 3

Substitute the value of x = 3 in FG,

⇒ FG = 14x + 25

⇒ FG = 14(3) +25

⇒ FG = 67

Hence, the required value of segment FG is 67 if G is the midpoint of FH.

Learn more about the line segment here:

brainly.com/question/25727583

#SPJ2

The question seems to be incomplete the correct question would be

If G is the midpoint of FH,

find FG.

Where FG = 14x + 25 and  GH= 73 - 2x,

PLEASEeEeEeEeEeEeeEeEeEeEeEeEeEeEeEeEeeeEeEeEeEeEeEeEeEeEEEeee
ANSWER NOW

Answers

Answer:

a

Step-by-step explanation:

Anyone can solve this

What’s the correct answer for this questions?

Answers

Answer:

B = 6√10

Step-by-step explanation:

In the attached file

What is the approximate area of the shaded sector in the circle shown below
A. 283 cm
B. 31.4cm2
C. 565cm2
D. 15.7 cm2

Answers

Answer:

Option A. 283 cm²

Step-by-step explanation:

to find the area of the shaded sector, we use the formula:

 [tex]\frac{\text{angle given}}{360^\circ}\times \text{area of the circle}[/tex]

where area of the circle = πr²

∴ for the given circle,

[tex]\text{Area of the sector}=\frac{\text{given angle}}{360^\circ} \times \pi r^2[/tex]

                            =  [tex]\frac{100}{360}\times 3.14\times 18\times 18[/tex]

                            = [tex]\frac{100}{360}\times 1017.36[/tex]

                            = 282.6

                            ≈ 283 cm²

The approximate area of the shaded sector is 283 cm².

The jar shown below is 2/5 filled with water. If 750 ml more water is poured into the jar, it becomes full. What is the capacity of the jar?


2/5 is the fraction 2/5

Plz answer fast with easy explanation

Answers

Answer:

1250 ml

Step-by-step explanation:

Answer:

I’m glad you asked!

Step-by-step explanation:

2/5 + 750 ml equals the full jar amount or capacity.750/ 3 equals 250.That makes 150 the denominator.Now we just need to multiply 250 by 5.

[tex]250 x 5 = 1250.[/tex]

Find the distance between the points (-2, 3) and (5, -1). Round to the nearest
tenth.​

Answers

Answer:

8.062258

Step-by-step explanation:

d = 8.062258

For:

(-2, 3)

(5, -1)

Distance Equation Solution:

d=√(5−(−2))2+(−1−3)2

d=√(7)2+(−4)2

d=√49+16

d=6–√5

I belive the answer is

d=8.062258

Please answer this correctly

Answers

Answer:

The answer is 19.

Step-by-step explanation:

Because the 10 is 6 more than the 4, we subtract 6 from 25 (because they said that they were similar).

A recipe calls for 33 teaspoons orange juice. A can of orange juice is 17 fluid ounces. How many teaspoons of juice are in the​ can?

Answers

Answer:

102

Step-by-step explanation:

1 fluid ounce = 6 teaspoons

Let a, b, and c be real numbers where ab*C0. Which of the following functions could represent the graph below?
AN

Answers

Answer:

A on ed

Step-by-step explanation:

A sphere has a diameter of 8 cm. Which statements about the sphere are true? Check all that apply.
The sphere has a radius of 4 cm.
The sphere has a radius of 16 cm.
The diameter's length is twice the length of the radius.
The radius's length is twice the length of the diameter.
2048
The volume of the sphere is
3
cm.
256
The volume of the sphere is
cm?
Plzzz help

Answers

Answer:

first is true

second is false

third is true

fourth is false

the last few questions about the volume are a little choppy, but the correct volume is 268cm³.

Step-by-step explanation:

hope this helps<<3

Which choice is equivalent to the expression below?
28.24
O A. 28 + 22/10 + 24/100
O B. 28+ 2/10 + 4/10
O C. 28. 22/10. 24/100
O D. 28. 224/10

Answers

Answer:

C

Step-by-step explanation:

Here are ten numbers
3 ,7,2,4,7,5,7,1,8,8
(a) write down the mode
(b) Work out the median
(c) Calculate the mean
(d) What is the range ?

Answers

Answer:

Mode:7

Median:2

Mean:5.2

Range:7

Step-by-step explanation:

see the picture attached

The mode of the given series is 7, the median of the given series is 5 and 7, the mean of the given series is 5.2, and the range of the given series is 7.

Given :

Numbers  --  3, 7, 2, 4, 7, 5, 7, 1, 8, 8

a) Mode is the number that repeats in the series maximum time. Therefore, the mode of the given series is 7.

b) The median of the given series is 5 and 7.

c) The formula of mean is used in order to determine the mean of the given series.

[tex]{\rm Mean} = \dfrac{3+7+2+4+7+5+7+1+8+8}{10}[/tex]

[tex]\rm Mean = \dfrac{52}{10}[/tex]

[tex]\rm Mean = 5.2[/tex]

d) The range of the given series is calculated as:

[tex]\rm Range = 8-1[/tex]

[tex]\rm Range = 7[/tex]

For more information, refer to the link given below:

https://brainly.com/question/300591

A hiker is told to carry 2 cups of water for every 10 minutes spent walking. The hiker plans to hike for 60 minutes. How many cups of water should the hiker carry?

Answers

Answer:

12

Step-by-step explanation:

2 x 6 = 12

The number of cups of water the hiker should carry is 12 cups.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, a hiker is told to carry 2 cups of water for every 10 minutes spent walking.

Now, number of cups of water carry for 1 minute

= 2/10

= 0.2 cups

The number of cups of water carry for 60 minutes

= 0.2×60

= 12 cups

Therefore, the number of cups of water the hiker should carry is 12 cups.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ3

» Which expression is not equal to 30?

|(120 : 20) x (2+3)

(9 x 10) : (4 + 1) +12

(2 x 60 : 30) x (24 + 2)

2 + (30 - 8:4)

Answers

Answer:

Only expression that's not equal to 30 is option 3 which is; (2 x 60 : 30) x (24 + 2)

Step-by-step explanation:

We want to find which of the expression is not equal to 30.

1) (120 : 20) x (2+3)

Using BODMAS, we will solve the brackets first. So, we have;

(120/20) × 5

Note that a ratio implies division.

So, we have;

6 x 5 = 30

2) (9 x 10) : (4 + 1) + 12

Again, using BODMAS, solve the brackets first.

90 : 5 + 12

Ratio symbol is division and so it come before addition in BODMAS.

So, we have;

(90/5) + 12 = 18 + 12 = 30

3) (2 x 60 : 30) x (24 + 2)

Again, using BODMAS, solve the brackets first.

In the first bracket, we'll use division first before multiplication.

(2 x 60/30) x (26) =

2 x 2 x 26 = 104

4) 2 + (30 - 8:4)

Again, using BODMAS, solve the brackets first.

In the second bracket, division goes first. So,

2 + (30 - 8/4) = 2 + (30 - 2) = 2 + 28 = 30

So the only expression that's not equal to 30 is option 3 which is; (2 x 60 : 30) x (24 + 2)

Write equations for the horizontal and vertical lines passing through the point , (4,5).

Answers

Answer:

Answer is below

Step-by-step explanation:

The equation for the horizontal line is x = 4. The equation for the vertical line is y = 5.

I graphed the lines on the graph below to show you that they intersect at the point (4,5).

If these answers are correct, please make me Brainliest!

Which ordered pair would form a proportional relationship with the points in the graph? (4, 4) (6, 9) (9, 6) (8, 5)

Answers

Answer:the answer is 9,6

Step-by-step explanation:

I JUST TOOK THE QUIZ

Answer:

C (9,6) did it on edge

Rearrange the equation so u is the independent variable.

-12u + 13 = 8w - 3

w = __

Answers

Answer: w = -3u/2  +  2

Step-by-step explanation:

-12u + 13 = 8w - 3

-12u + 13 + 3 = 8w -3 + 3

-12u + 16 = 8w

w = -3u/2   +   2

What is the slope and the y-intercept of the line on the graph below?​

Answers

Answer:

I love you sweetheart I want to look and love you

Answer:

slope- 1/4

y intercept- 1

PLEASE HELP ITS FOR MATH

Answers

infinite, the line goes on forever indicated by the arrows at the end of each line

The answer is b. none. This is because the lines are parallel and therefore do not intersect at a point, meaning that there are no solutions.

If you double the lengths of a rectangle what can you say about the new area of it.

A: The area is half its original size
B: The area of the new rectangle is double its original size
C: The area of the new rectangle is four times it original size
D: The area of the new rectangle is eight times the original size.

Answers

Answer:

B

Step-by-step explanation:

because u increased it by 2x

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