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.

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Related Questions

please help√√√:-) 1111

Answers

Answer: 1246 for the first and 1400 for the second

Step-by-step explanation:

What is the perimeter of a square with a length of 19 meters?

Answers

The answer is b 38cm

Answer:

76 m

Step-by-step explanation:

If each side has a length of 19 m, then the perimeter is 19m*4 = 76 m

Complete each statement with a number that makes the statement true.



_____ < 7°C



Do not include units (°C) in your answer.



copied for free from openupresources.org


Select one:
15
8
4
10

Answers

Answer:

4

Step-by-step explanation:

the answer is: 4

cause 4 is less than 7

help i need help again fast​

Answers

Answer:

donkey kong

Step-by-step explanation:

ssasdasdasdasdasdasda

Answer:

its c

Step-by-step explanation:

Find the slope of the line y = 5/8x - 1/2

Answers

Answer:

slope = [tex]\frac{5}{8}[/tex]

Step-by-step explanation:

Slope-intercept form is the way in which an equation is written to easily identify the line's slope and y-intercept. It is represented by the equation y = mx + b, in which m represents the slope.

By looking at the equation, we can see that it takes the y = mx + b format - y is isolated - therefore it is in slope-intercept form. Remember that the number in place of the m would represent the slope - and in this case, that number is [tex]\frac{5}{8}[/tex].

Final Answer:

[tex]\sf{Slope = \dfrac{5}{8}}\\\sf{Y-intercept: -\dfrac{1}{2}}[/tex]

In-depth explanation:

The question is asking us to find the slope of the line, whose equation is;

[tex]\leadsto\quad\bf{y=\dfrac{5}{8}x-\dfrac{1}{2}}[/tex]

The format of this equation is: [tex]\boldsymbol{\sf{y=mx+b}}[/tex]. This is known as slope-intercept; it's the most common way of writing the equation of a line.

In y = mx + b, the variable "m" denotes the slope, or the rate of change, of a line; b denotes the y-intercept, or the point where the line intercepts the y-axis.

Also, the slope is the number before x, while b is the constant term.

Similarly, the slope is 5/8 and the y-intercept is -1/2.

[tex]\rule{350}{2}[/tex]

What is the solution of each equation?

2(h - 8) - h = h - 16

a

no solution

b

infinitely many solutions

c

8

d

-8

Answers

The correct answer is b

What is the equation of the line with slope 3/5 through the point (20, 6)?

Answers

That would be y=3/5x-6. This is because 3/5 is the slope and -6 is where the line intercepts the y-axis

Solve the following system of equations.
3x + 5y = 5
7x + 5y = 25

i need the value of x and y.

Answers

Answer:

x=5 and y=-2

Step-by-step explanation:

3x+5y=5

-(7x+5y=25)

-4x=-20

x=5

plug 5 into one of the equations. 3(5)+5y=5

y= -2

PLS HELP ASAP I DONT HAVE TIME FOR THIS, IT ALSO DETECTS IF ITS RIGHT IR WRONG

Answers

Answer:

a

Step-by-step explanation:

Type the correct answer in the box. Use numerals instead of words.
C
D
B
In the figure, angle B measures 44º, angle A measures 62°, and angle E measures 50°
Complete the equation to solve for f, the measurement of angle F.
f= 180° - 50° -

Answers

the answer is 77 enjoy please like seroislyyyyyy round 50 cold war zombies!!!

Answer:

the answer is 77 please enjoy

Step-by-step explanation:

Lines l and m are parallel and a and b are parallel. Find the measure of angle 10 if measure of angle 1 is 62.

please help

Answers

well since the lines l and m are straight, their measures would be 180. So if you subtract 62 from 180 you'd get angle 2=118. since angles 2 and 10 are the same angle, 10 would also have a measure of 118

Basically ur answer is angle 10=118

A rectangular parking lot has an area of 1650 yd.² the length of the parking lot is 55 yards what is the width of the parking lot in yards

Answers

Answer:

The width of parking lot is 30 yards.

Step-by-step explanation:

Given that:

Area of rectangular parking lot = 1650 yards square

Length of parking lot = 55 yards

Width of parking lot = x yards

Area of rectangle is given by:

A = Length * Width

1650 = 55x

Dividing both sides by 55

[tex]\frac{55x}{55}=\frac{1650}{55}\\x=30[/tex]

Hence,

The width of parking lot is 30 yards.

25 x 10^9 in standard form

Answers

Answer:

25000000000

Step-by-step explanation:

A Solution of the equation,
3x2 + 2x + 1 = 0 is

Answers

Answer:

x = -3.5

Step-by-step explanation:

POE = PROPERTY OF EQUALITY

3*2 + 2x + 1 = 0

6 + 2x + 1 = 0 ## ^ Multiplication

7 + 2x = 0 ## ^ Combine like-terms

2x = -7 ## ^ Subtraction POE

x = -3.5 ## ^ Division POE

Answer:

X=0

Step-by-step explanation:

Use PEMDAS to get rid of some things. Do 3 x 2 = 6. Then distribute the like terms to one side seperating 2x and "0": +1 ---> 0-1 = -1. Now divide... 2x/2 = x (cancels out) and 0/2 = 0. Therefore X=0. But I'm not a computer so double check your answer.

Ocean waves move in parallel lines toward the shore. The figure shows the path that a windsurfer takes
across several waves. For this exercise, think of the windsurfer's wake as a line. Ifm 21 = (5x + 5y)" and
m 22 = (5x + y)', find x andy.

Answers

Answer:

nopw

Step-by-step explanation:

Need help ASAP
Thanks+ BRAINLIST only for correct answers

Answers

i am 90% sure it is answer b

I'm sure it's scatter plot b

Identify the horizontal asymptote of each graph.
y = 0
y = 1
y = 6

Identify the horizontal asymptote of each graph.
y = 0
y = –3
y = –5

Answers

Answer:

y = 0 and y = -3

Step-by-step explanation:

The horizontal asymptote of each graph is:

1. y=0

2. y= -3

What is asymptote?

An asymptote of a curve y = f (x) that has an infinite branch is called a line such that the distance between the point (x, f (x)) lying on the curve and the line approaches zero as the point moves along the branch to infinity.

1.Given function:

 t(x)= [tex]6^{x}[/tex]

If we apply limit x→∞, then we get y=c as horizontal asymptote

So, [tex]\lim_{x \to \infty} 6^{x}[/tex]= 0

Hence, the asymptote will by y=0.

2. Given function:

t(x)= [tex]5^{x}[/tex]-3

If we apply limit x→∞, then we get y=c as horizontal asymptote

So, [tex]\lim_{x \to \infty} 5^{x} -3[/tex]= -3

Hence, the asymptote will by y=-3.

Learn more about asymptote here:

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giving 100 points and giving brainlest
For which value of b can the expression x2 + bx + 18 be factored?
A.
7
B.
3
C.
17
D.
-19

Answers

Answer:

7

Step-by-step explanation: (dont trust me)

x^2 + (7)x +18

x(x + 4) + 3(x + 6)

Answer:

See the attachment for what goes on your X diagram.

Rewrite: x² -7x +4x -28

Grouping: (x² -7x) +(4x -28) = x(x -7) +4(x -7) = (x +4)(x -7)

Step-by-step explanation:

The given quadratic is ...

... x² -3x -28 . . . . . a=1, b=-3, c=-28

a) The value at the top of the X diagram is the product a·c = 1·(-28) = -28.

The value at the bottom of the X diagram is the coefficient b = -3.

The values on the sides of the diagram are the factors of -28 that add up to make -3. These are -7 and 4. That is, ...

(-7)·(4) = -28

(-7)+(4) = -3

b) Since the two values on the sides of the diagram add up to give "b", the value of "b" in the equation can be rewritten as the sum of these two numbers. Doing that, we have ...

... x² -3x -28

... = x² +(-7+4)x -28

... = x² -7x +4x -28 . . . . . . order does not matter. It could also be x² +4x -7x -28

c) We can group pairs of terms in the rewritten expression and factor each pair.

... = (x² -7x) +(4x -28) . . . . . first pair has a common factor of x; second pair, 4

... = x(x -7) +4(x -7) . . . . . . . these terms now have a common factor: (x -7)

... = (x +4)(x -7) . . . . . . . . . . the complete factorization of x² -3x -28

_____

Comment on extended application

When a ≠ 1, there are a couple of additional steps. Effectively, you reduce the fractions ax/p and ax/q to a'x/p' and a''x/q'', then rewrite those as the factors (a'x+p')(a''x+q'') where the ' and '' numbers are after reducing the fractions. (The numbers may be the same as the original if the fraction cannot be reduced.) As a check, a'·a'' = a, and p'·q'' = c.

i need help with this. im confused.​

Answers

Ok you have to put 0000000000

Amy sells tote bags at a craft fair for a day. She pays $50 to rent a booth. The materials and labor cost on each tote bag is $3.50. Her expenses for the day depend on how many tote bags she sells. Write a linear function rule and identify the initial value and rate of change.​

Answers

Answer:

Let x= number of totebags sold

Cost=C(x)=50+3.5x

Which equation represents the slope-intercept form of the line below?
y-intercept = (0,3)
slope = 4
O A. y = 3x + 4
O B. y = 3x - 4
O C. y = 4x-3
D. y = 4x + 3
help asap

Answers

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 4 and c = 3, then

y = 4x + 3 → D

Answer:

b

Step-by-step explanation:

if Maya drove 30 laps in six minutes how many laps did she drive in one minute

Answers

Answer:

5 laps in one minute.

Step-by-step explanation:

1. Divide 30, the number of laps, by 6, the number of minutes. So, for every 1 minute Maya drives on lap.

How many 1/3 inch cubes does it take to fill a box with width 2 2/3 inches, lengths 3 1/3 inches, and height 2 1/3 inches?

Answers

Answer:

560 cubes

Step-by-step explanation:

width: 8 cubes

length: 10 cubes

height: 7 cubes

volume: 8*10*7=560

divided l, w, and h by 1/3 to get them in cubes

Answer:

Step-by-step explanation:

The awnser is multiply by 9 then multiply by 2

Solve for b, y = 2x + b

Answers

Answer:

B = 2x/y - 1 is your answer

Step-by-step explanation:

Answer:

b= y-2x

Solve for b by simplifying both sides of the equation then isolating the variable.

If 6x+3y=−1 and
5x+y=8 are true equations, what would be the value of
−x−2y?

Answers

Answer:   9

x = 2.778

y = -5.889

-x -2y

= -2.778 - 2(-5.889)

= 9

n the rectangle P Q R S , the side P Q is of length 2 and the side Q R is of length 4

Please i need the answer ASAP

Answers

here u go

In the rectangle PQRS , the side PQ is of length 2CM and the side QR is of length 4CM Points  T and  U  lie inside the rectangle so that Triangle PQT and TRIANGLE RSU are equilateral triangles.

PLS MARK ME AS BRAINLIST!!!!!

in Square W XYZ.PW = 7. w X What is the square's perimeter? • 282 units Р 49 units 098 units Z Y O • 1472 units 3 4 5 6 7 8​

Answers

Answer: Like I said it is either A or B

Answer[tex]Answer is A[/tex]: A      28/2

Step-by-step explanation: Took the test.

How do you graph g(x)=f(x)+5

Answers

Make a positive line going through (0, 5)

a machine at a graphic design studio produces paper labels for juice bottles. This graph represents the number of labels produced over time.


Based on the graph, how many labels are produced per minute?

50 labels/minute
75 labels/minute
100 labels/minute
150 labels/minute​

Answers

Answer:

150 labels/ minute

Step-by-step explanation:

As you can see on the graph there is a point on (1,1 1/2)=150/1

Also 150*2=300 so it all makes sence

find the value of the expression

18 ÷ y
for y = 3

Answers

Answer:

6

Step-by-step explanation:

18 divided by 3 equals 6.

Answer:

6

Step-by-step explanation:

18 ÷ y

18 ÷ 3 ^ Substitute 3 in for y, as y equals 3.

6 ^ Divide.

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