From a stick 2y metres long, I cut a piece of length 4y centimetres. What fraction of the original stick remains?

Answers

Answer 1

Answer: [tex]\dfrac{49}{50}[/tex]

Step-by-step explanation:

Given

Length of the stick is [tex]2y\ m[/tex]

A piece of [tex]4y\ cm[/tex] is cut

We know, 1 m=100 cm

So, [tex]2y\ m[/tex] in cm is [tex]200y\ cm[/tex]

Remaining length after cut is

[tex]\Rightarrow 200y-4y=196y[/tex]

Fraction of length that is left after the cut is

[tex]\Rightarrow \dfrac{196y}{200y}\\\\\Rightarrow \dfrac{49}{50}[/tex]

Thus, [tex]\frac{49}{50}[/tex] fraction of original stick remains after cut


Related Questions

Need quick help with this math

Answers

Answer:

Eleanor and Harold

Step-by-step explanation:

The decimal [tex]0.13\overline{7}[/tex] consists of the sum of two terminating decimals and one non-terminating decimal:

[tex]0.13\overline{7}=0.1+0.03+0.00\overline{7}[/tex]

Therefore, we have:

[tex]0.13\overline{7}=\frac{1}{10}+\frac{3}{100}+\frac{7}{900},\\\\0.13\overline{7}=\frac{10}{100}+\frac{3}{100}+\frac{7}{900},\\\\0.13\overline{7}=\frac{13}{100}+\frac{7}{900}=\frac{117}{900}+\frac{7}{900}=\boxed{\frac{124}{900}}[/tex]

Hector's answer is equivalent but not simplified. However, they are both technically correct.

Both of them are correct in my opinion

What is the slope of the line that passes through the points (-3,5) and (6,-1)?

Answers

Answer:

C.

[tex]slope = \frac{( - 1 - 5)}{6 - ( - 3)} \\ = \frac{ - 6}{9} \\ = - \frac{2}{ 3} [/tex]

The slope is -2/3 for the point above

Alejandra correctly wrote the equation y-3=1/5 (x-10) to represent a line that her teacher sketched. The teacher then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent the new line? ​

Answers

Answer:

y-3=2(x-10)

Step-by-step explanation:

y-3=2(x-10)

PLEASE HELP MEEEEEEEEEEEEE

Answers

Answer: 20 ft

Step-by-step explanation:

The mirror is set away from the flagpole on the same scale set away from her.

The distance she stand's away from the mirror is 1/4 of the length of the distance between the mirror and the flag pole because she's 1/4 of the flagpole's size.

This means her size x4 is the size for the flag pole. This checks out because 12x4=48

So to find the height we must do 5x4

5x4=20

10. Which is the best approximation for Pi? A 14/7 B 44/14 C 14/3 D 3/14​

Answers

Answer:

I think its D 3/14

Step-by-step explanation:

Pi is 3.141592654

If this helps mark as brainllest please!!!

D is the answer ………………………..

Given that sin(Θ)=1/2 and Θ is in quadrant II, which of the following would be the value of cos(Θ)?
a. 1/2
b. -1/√3
c. √3/2
d. -√3/2
e. 2

Answers

i think it should be e but not shure

wats the answer of 1 2/5 ÷14/15​

Answers

Answer:

2/5 ÷-14/15

2/5×-15/14

-3/7 is ur answer

Answer:

3/2 = 1  1/2 or 1.5

Step-by-step explanation:

1 2/5 ÷ 14/15

= 7/5 ÷ 14/15

= 7/5 × 15/14

= 3/2 = 1  1/2 or 1.5

HELP ME NOW OOR NO DINO COOKIES snsndndnd​

Answers

Answer:

it is because the volume of the box is 200in^2

30 dollars

Step-by-step explanation:

Which is an equation of the line with
slope that contains the point (6, 4)?

Answers

Answer:

y=x-2

Step-by-step explanation:

x=6 and y=4, so simplest equation is y=x-2

You can have infinity lines with the point (6,4). Another example is [tex]y=\frac{1}{2} x+1[/tex]

Which linear inequality is represented by the graph?
y<3x+2
y>3x+2
y<1/3x+2
y>1/3x+2​

Answers

Answer:

Y < 3x+2

Step-by-step explanation:

Alright so if you ever get stuck on something like this, Go on demos and put in (0,2) and then add in (-3,-7) and then add in the other answers to see if they match.

So your answer is:

y>3x+2

HELPPPPPP PLEASEEE!!

Answers

Answer:

the trend is increasing

Step-by-step explanation:

please answer thissssss

Answers

Answer:

A? oof not sure

Step-by-step explanation:

I dont know

The answer you need is A

The maximum number of students in a classroom
is 26. If there are 16 students signed up for the
art class, how many more students can join the
class without exceeding the maximum?

Answers

10 students can join the class without exceeding the maximum

Answer:

10 students

Step-by-step explanation:

The maximum number is 26 and 16 have already signed up so in order to know how many can join without exceeding the maximum. You subtract 16 from 26. which then leaves you with 10

What are the coefficients in the problem 7a + 5b =c

a and b

5 and c

a,b,and c

7 and 5

Answers

Answer:

7 and 5

Step-by-step explanation:

they have variables with them

Answer:

D

Step-by-step explanation:

17/18 dived by 2/4 as a reduced fraction

Answers

Answer:

1 8/9

Step-by-step explanation:

Hope you enjoy :)

Suppose you roll a cube 30 times, what is a to describe the theoretical of rolling a 1, 4, 6, 7 Please help me!

Answers

Answer:

[tex]Pr(x) = \frac{1}{6}[/tex]

Step-by-step explanation:

Given

[tex]n = 30[/tex] --- number of rolls

Required

The theoretical probability of rolling: (a) 1    (b) 4    (c) 6    (d) 7

Assume the cube is 6 sided.

The sample space is:

[tex]S = \{1,2,3,4,5,6\}[/tex]

And the probability of each is:

[tex]Pr(x) = \frac{1}{6}[/tex]

Irrespective of the number of rolls, the theoretical probability of (a). (b), (c) and (d) is:

[tex]Pr(x) = \frac{1}{6}[/tex]

How many possible outcomes are in spinning a spinner divided into red, yellow, orange, purple, blue, and pink?

SOMEONE ANSWER PLS

Answers

Answer:

Possible outcomes = 6

Step-by-step explanation:

Since the spinner is divided into red, yellow, orange, purple, blue and pink

Total of 6 colors.

PLEASE HELP ASAP ITS URGENT

Answers

Step-by-step explanation:

the answer is in the image above

The length of the ladder that will run from the ground to the door of the tree house is nine feet. The plan recommends that the rungs of the ladder be spaced at 8-inch intervals. The first and last rung should be 6 inches from the respective ends. How many rungs will the tree house ladder have?

Answers

Answer:

13 Rungs

Step-by-step explanation:

According to the Question,

Given, The length of the ladder that will run from the ground to the door of the treehouse is 9 feet ( 9 × 12 = 108 inches).

The plan recommends that the rungs of the ladder be spaced at 8-inch intervals.

And, The first and last rung should be 6 inches from the respective ends.

Thus, the rungs Cover on 108 -(6+6) = 96 inches with 8-inch gaping between each rung.

Therefore, the Total Rungs on the treehouse ladders have (96/8)+1 ⇒ 13 Ladders.

Find the average of 40.6, 10, 0.7, and 120.02​

Answers

Answer:

42.83

Step-by-step explanation:

add all the numbers and divide by how many their are

The average is 42.83.

wahat is 3556+55432

plaease fast

Answers

Answer:

58988

Step-by-step explanation:

3556+55432

=58988

Perform the indicated subtraction. -5 - (-6)=

Answers

Answer:

1

Step-by-step explanation:

Answer:

-5 - (-6)= 1

Step-by-step explanation:

hope this is what you're asking for

Help. Direct answers pls

Answers

Answer:

a₄ = 256

Step-by-step explanation:

Using the given definition , then

a₂ = a₁² = 2² = 4

a₃ = a₂² = 4² = 16

a₄ = a₃² = 16² = 256

Answer:

256

Step-by-step explanation:

a₁ = 2

a₂ = (a₁)² =  2 ² = 4

a₃ = (a₂)² = 4² = 16

a₄ = (a₃)² = 16² = 256

pls help ill give brainleiesr​

Answers

Answer:

<1 and <3 are vertical angles

Step-by-step explanation:

Vertical angles are formed from the same lines are share a vertex.  They are opposite from each other

<1 and <3 are vertical angles

<2 and <4 are vertical angles

Answer:

[tex]{\Huge{\underline{\underline{\textbf{\textsf{Answer}}}}}}[/tex]

Vertical angles are formed from the same lines are share a vertex.  They are opposite from each other

● <1 and <3 are vertical angles● <2 and <4 are vertical angles

Minke earned $100 working for h hours in a resuarant. He earns $10 an hour, and recieved $30 in tips. Write an equation using this information.​

Answers

Answer:

10h + 30 = 100

Step-by-step explanation:

10h + 30 = 100

Answer:

140$

Step-by-step explanation:

So Mike earned 100$ right. So he earns 10$. And got 30$ by Tips The answer is 140$ I hope it helps :)

Rita is spending more time at home to study and practice math. Her efforts are finally paying off. On her first assessment she scored 58 points, then she scores 63 and 68 on her next two assessments. If her scores continued to increase at the same rate, on which assessments will she be scoring above 85? Select all that apply. ​

Answers

Answer:

7th

Step-by-step explanation:

63 - 58 = 5

68-63 = 5

She is adding 5 points each time

a1 = 58

d = 5

a2 = 63

a3 = 68

a4 = 58+5 = 73

a5 = 73+5 = 78

a6 = 78+5 = 83

a7 = 83+5 = 88

This is the first assessment greater then 85, so the 7th assessment

Se tienen 25 billetes de 5 y de 20 lempiras con un monto de 350 lempiras cuantos billetes de 5 lempiras se tienen y de 20 lempiras

Answers

Answer:

El número de facturas

5 lempiras = 10 billetes

20 lempiras = 15 billetes

Step-by-step explanation:

Vamos a representar

El número de facturas de

5 lempiras = x

20 lempiras = y

Nuestro sistema de ecuaciones se da como:

x + y = 25 ..... Ecuación 1

x = 25 - y

5 × x + 20 × y = 350

5x + 20y = 350 .... Ecuación 2

Sustituiríamos x por 25 - y en la ecuación 2

5 (25 - años) + 20y = 350

125 - 5 años + 20 años = 350

125 + 15 años = 350

15 años = 350 - 125

15 años = 225

y = 225/15

y = 15

Resolviendo para x

x = 25 - y

x = 25 - 15

x = 10

Por lo tanto, el número de facturas

5 lempiras = 10 billetes

20 lempiras = 15 billetes

Work out the surface area of this cylinder.
Height=25
Diameter=12

Answers

A=2πrh+2πr2=2·π·6·25+2·π·62≈1168.6724

Please help 50 points!
Simplify the expressed

Answers

Answer:

Step-by-step explanation:

[tex]\frac{x^{2} -x-12}{x+4} * \frac{2x^{2}-32 }{x^{2} -8x+16}[/tex]  rewrite as multiplication

[tex]\frac{x^{2} +3x-4x-12}{x+4} * \frac{2(x^{2}-16) }{x^{2} -8x+16}[/tex]  look to factor

[tex]\frac{x(x+3)-4(x+3)}{x+4} * \frac{2(x-4)(x+4) }{(x-4)^{2}}[/tex]  , difference of 2 squares and perfect square

[tex]\frac{(x+3)(x-4)}{x+4} * \frac{2(x-4)(x+4) }{(x-4)^{2}}[/tex], finish factoring and simplify

2(x+3)

Help me down below

PLEASE

Answers

Answer:

there is one more zero

Step-by-step explanation:

now it's 8 million rather than 800 thousand.

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