6. A 140-meter rope is cut into two pieces. One piece is 20 meters longer
than 3 times the other piece. How long is the smaller of the two pieces?

Answers

Answer 1
140=3x+20+x
140=4x+20
-20 -20
120=4x
/4 /4
30=x
The smaller piece is 30 meters
Answer 2

After solving the equation, the smaller piece length of the rope will be 30 meters.

What is an equation?

Equations are mathematical expressions that have two algebra on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.

As per the data provided in the given question,

3x+20+x = 140

4x+20 = 140

4x = 120

x = 30 meters

The smaller piece of the rope is of 30 meters.

To know more about an equation:

https://brainly.com/question/10413253

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Related Questions

What are the solutions of each equation?
a. x2 + 4 = 4
b. x2 + 16 = 0
c. x2 − 49 = 0

Answers

Answer:

a. x=0

b x=-8

c x=49/2

Step-by-step explanation:

a. x2+4=4

subtract 4 from both sides

x2=0

multiply

2x=0

divide by 2

x=0

b x2 + 16 = 0

multiply

2x+16=0

subtract both sides by 16

2x=-16

divide by 2

x=-8

c  x2 − 49 = 0

multiply

2x-49=0

add 49 to both sides

2x=49

divide both sides by 2

x=49/2

Answer:

a. X= 0

b. X= undefined or X=4i

c. X= + or - 7

Step-by-step explanation:

a. x² + 4 = 4

when 4 goes to the other side by negative sign it will cancel the other 4. at they equal in magnitude and opposite in sign.

then x² = 0 , where √x²=√0 , finally x=0

b. x² + 16 = 0

16 goes to other side by negative sign too

x² = -16 , where √x²=√-16 , finally x= undefined

due to the negative sign under thr square root.

at √-1 = i then x can be 4i

c. x² - 49 = 0

-49 go to the other side by positive sign

x² = 49 , where √x² = √49 , finally x= + or - 7

where negative sign is neglected at even power

example:

(-7)²=(7)²

GUYS HELP IM STUCK!!!!!!!

Answers

Answer:

A Responding variable.

Step-by-step explanation:

Think about it, if you had a car and there were two different ramps, one short and one was high, would the car's speed be different from the other ramp? Yes it would, and since its changing its a responding variable, because that changes as well.

P.S I would appreciate Brainliest or whatever thats called!

Answer:

It's the middle one

Step-by-step explanation:

can someone help me do this darn work plz

Answers

Answer:

13. 17/20

14. 11/100

16.) 4 3/10

17.) 7 3/4

19.) -1 3/5-

20.) 3/8

22.) -5 3/5

23.) 1 3/25

26.) 85.33%

Answer:

13. 17/20

14. 11/100

16. 4 3/10

17. 7 3/4

19. 1 3/50

20. 3/8

22. -5 3/5

23. 1 3/25

25. 6.34%

26. 85.33%

solve for “x”.

2x = 5

thanks to whoever helps!! :)

Answers

Answer is 2.5 bc u have to divide 5 by 2 then u get ur answer

Answer:

2.5

Step-by-step explanation:

In this equation x is equal to 2.5. I got this answer by dividing both sides of the equation by 2, since we do the opposite operation of how the equation is set up. Have a great day! :)

Choose two pairs of alternate interror angles.

Answers

Answer: angle 5 and angle 10

angle 8 and angle 11

hope this helps!

What is the value of p?

Answers

Answer:

P = 18

Step-by-step explanation:

:) that the answer.

Answer:

Sum of the interior angles of the triangle is 180°.

According to the above problem,

[tex]4p + 4p + 36 = 180 \\ 8p = 180 - 36 \\ 8p = 144 \\ p = \frac{144}{8}\\ \boxed{p = 18}✓[/tex]

p=18° is the right answer.

. At a farmer’s market, two vendors sell fresh milk. One vendor sells 2 liters for $3.80, and another vendor sells 1.5 liters for $2.70. Which is the better deal? *

Answers

Answer: 1.5 liters

Step-by-step explanation:

3.80 divided by 4= 0.95     0.95 x 3= 2.85

2.85 is more than 2.70

mark me brainliest

f(x) = -4x2 + 10
Find f(-2)

Answers

Answer:

f(-2) = -6

Step-by-step explanation:

In the expression, to get f(-2);

we simply substitute the value of x with -2

We have this as;

f(-2) = -4(-2)^2 + 10

f(-2) = -4(4) + 10

f(-2) = -16 + 10

f(-2) = -6

HELP PLS :) its for my class

Answers

Answer:

about 170

Step-by-step explanation:

i say thi because 360 into 4 quadrants is 90 per qudrant than tge second quadrant is almost full so i put the answer nearly 2 quadrants

Plz help I’m dumd and I can’t answer it

Answers

Answer:

11

Step-by-step explanation:

25% is 0.25 or 1/4

44 x 0.25 =11


A glass vase factory recently produced 4 vases that were chipped and 16
vases that were not. Considering this data, how many of the next 10 vases
would you expect to be chipped?

Answers

Answer:

2

Step-by-step explanation:

4 chipped + 16 not chipped = 20 total

4 / 20 = 1/5 or 20% chance that vase will be chipped

Set up a proportion or find 20% of 10.

[tex]\frac{1}{5} = \frac{x}{10}[/tex]     x = 2 (ten is on denominator because it's the total amount of vases)

or 10 * 0.2 = 2

I need help for school​

Answers

Its 11 cause I’m built different

There are 15 students not going on the field trip. That is 6% of all
of the 6th graders, How many 6th graders are there?

Answers

Answer:

250

Step-by-step explanation:

15=6%

?=1%

15/6=2.5

2.5=1%

1%=1/100

2.5 x 100=

250

Identify the figure below. Select all names that apply.

Image shows a four-sided figure with opposite sides parallel and equal in length.

A.
quadrilateral

B.
parallelogram

C.
rhombus

D.
square

E.
trapezoid

Answers

Answer:

b and d

Step-by-step explanation:

what is the reciprocal of 2 3/7

Answers

Answer:

7/17

Step-by-step explanation:

Turn 2 3/7 to an improper fraction: 17/7.

The reciprocal is basically the fraction reversed.

Reciprocal of 17/7 = 7/17

Please mark as Brainliest :)

Answer:

7/17 or & over 17

Step-by-step explanation:

2 3/7

= [2(7) + 3]/7

= 17 / 7

So a reciprocal would just be inverted!

To complete a task in 15 days, a company has 4 people each working 8 hours a day. The company
decide to have 5 people each working 6 hours a day. Assume that each person works at the same
rate.

a) How many days will it take the 5 people to complete the task?

b)Comment on how the assumption affects your answer to part (a).​​

Answers

Answer:

Let's suppose that each person works at an hourly rate R.

Then if 4 people working 8 hours per day, a total of 15 days to complete the task, we can write this as:

4*R*(15*8 hours) = 1 task.

Whit this we can find the value of R.

R = 1 task/(4*15*8 h) = (1/480) task/hour.

a) Now suppose that we have 5 workers, and each one of them works 6 hours per day for a total of D days to complete the task, then we have the equation:

5*( (1/480) task/hour)*(D*6 hours) = 1 task.

We only need to isolate D, that is the number of days that will take the 5 workers to complete the task:

D = (1 task)/(5*6h*1/480 task/hour) = (1 task)/(30/480 taks) = 480/30 = 16

D = 16

Then the 5 workers working 6 hours per day, need 16 days to complete the job.

b) The assumption is that all workers work at the same rate R. If this was not the case (and each one worked at a different rate) we couldn't find the rate at which each worker completes the task (because we had not enough information), and then we would be incapable of completing the question.

PLEASE NOTICE, IF YOU HELP ILL GIVE 50 POINTS AND BRAINLIEST

Answers

Answer:

See proof below.

Step-by-step explanation:

Statements                                           Reasons

1. Seg. DE congr seg GF                     1. Given

2. <1 congr. <2                                     2. Given

3. DE || GF                                            3. Theorem: If 2 lines are cut by a transversal such that alt int angle are congruent, then the lines are parallel

4. DEFG is a parallelogram                4. Theorem: If a quadrilateral has two sides that are congruent and parallel, then it is a parallelogram.

what is 2^2 pls help me

Answers

Answer:

That'd be 4 :)

Step-by-step explanation:

If you ran a lemon aide stand and you sold 3 cups of lemonade to each person at .50 cents per cup,
how much money did you make selling to 25 people?

Answers

Answer:

$37.50

Step-by-step explanation:

{25(3)}0.50

-25 people times 3 cups for each person= 75

-0.50 times the amount of cups= 37.50

You would make 37 dollars and 50 cents.

What is the slope of the line that passes through the points (-3, 5) and (1, 15)

Answers

5/2 is the slope of the line
Slope = (Yb - Ya) / (Xb - Xa)
Slope = (15 - 5) / (1 - (-3))
Slope = (10) / (1 + 3)
Slope = 10/4
Slope = 2.5 or 5/2 or 2 and 1/4

what is meant by even symmetry? and odd symmetry? for polynomial functions

Answers

Answer:

1. the quality of being made up of exactly similar parts facing each other or around an axis.

2. For something to be an odd function, it has to have symmetry to the origin, not the x-axis. This means that if it has a point like (a, b), it also has the point (-a, -b). For example, y = x is an odd function because it does this.

Please help me? I’ll give brainliest

Answers

Answer:

left 4 up one because the coordinates are -4 , 1

Answer:

the first one (-4, 1)

Step-by-step explanation:

please help me:(

*will give a brainist*

Answers

Answer:

we ended the Bubba pregnant woman he is not in there by the Monon the man that want to be. DMV

write the slope of a line that is parallel to y=2x-13

Answers

Answer:

Lines with the same slope are parallel.

mparallel=2

Step-by-step explanation:

y=2x-10

only the slopes need to be the same

Will give brainlist! The area of a swimming pool covers 350 square feet if the height of the pool if 5 feet what is the volume.

Answers

Volume = 350 square feet * 5 feet = 1750 cubic feet

CAN SOMEONE PLEASE HELP ITS EASY BUT IM D U M B

Answers

Answer:

I believe the answer is C. Use Desmos and plug in the equation y=-x-2

Step-by-step explanation:

Which solid is made from only quadrilaterals?
A) cube
B) triangular prism
C) square pyramid
D) cylinder

Answers

The solid made from only quadrilaterals is a) cube

Answer:

A) Cube

Explanation:

Quadrilateral just means "four sides"

Examples: square, rhombus, parallelogram, rectangle.

Hope that helps

) Which expression is equivalent to 1/3b - 7?

Answers

Ok I uploaded a picture of the graph I hope it helps :) just click the bottoms corner

- Question 11
Mrs. Pitoya has 30 apples and is buying more apples in crates containing 20 apples each. She needs 130 apples for a harvest celebration at her school,
Which equation and solution correctly represent x, the number of crates of apples Mrs. Pitoya needs to buy?

Answers

Answer:

Mrs pitoya has to buy 9 crates of apples

Answer: She only needs to buy 5 more crates of apples.

30 + 20(x) = 130

30-30+20(x)=130-30

20x = 100

x = 5

Step-by-step explanation:

What does prime factorization mean to you ?

Answers

Answer:

Prime factorization is finding prime number that are  multiply  together to make the original number.

Step-by-step explanation:

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