Write and solve an equation or a system of equations to help you solve the following problem.
A cable 84 meters long is cut into two pieces so that one piece is 18 meters longer than the other. What is the length of each piece of cable? (show your work)

Answers

Answer 1

The equation written is: x + 18 + x = 84

The lengths of each piece of the cable are: 33 meters and 51 meters.

How to Write an Equation?

To write an equation, let the unknown quantity be represented as a variable, which would be used in creating an algebraic expression.

For example, we are given the following:

Length of a cable = 84 meters

The length of one the pieces that the cable is cut into is represented as x.

The second pieces = x + 18 meters.

The equation that would be created for this problem would be:

x + 18 + x = 84

Solve for x:

2x + 18 = 84

2x = 84 - 18

2x = 66

2x/2 = 66/2

x = 33

The length of one of the pieces = 33 meters

Length of the second piece = x + 18 = 33 + 18 = 51 meters.

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Related Questions

Two parallel lines are cut by a transversa

Answers

What is the question?

Spencer had a sack filled with 65 9/10 pounds of cement. He removed some of the cement from the sack and put it into three buckets. He put 8 1/10 pounds of cement in each bucket. Spencer says he has about 42 pounds of cement left in the sack. Is his statement reasonable?

Answers

Answer:

No the statement isnt reasonable

Step-by-step explanation:

I NEED HELP AGAIN 4.0

Answers

Answer:

Move the dot at the axis one to the left and one down move the other dot to (7,0)

Step-by-step explanation:

Find the dot at the origin (0,0)

Move it to (-1,-1) which is one unit to the left and one unit down.

Select other dot and place it at (7,0)

Click submit

Other option
B: 74.9
C: 15.1
D: 15.7

Answers

Step-by-step explanation:

cosine of B = adjacent/hypot

to find hypotenuse use a^2+b^2 = c^2

which is 5 (it's a 3,4,5 triangle so it's easy)

Cosine B= 4/5

Do the ratios 20/10 and 4/2 form a proportion? Yes or no

Answers

Answer:yes

Step-by-step explanation:they are equal

Find the midpoint of a and b when a has coordinates (-5,3) and b has coordinates (3,-1)

Answers

To find the x coordinate of the midpoint, add the x coordinates and divide by 2
(-5+3)/2 = -2/2 = -1
To find the y coordinate of the midpoint, add the y coordinates and divide by 2
(3+-1)/2 = 2/2 = 1
(-1,1)

Answer:

(-1,1)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates and divide by 2

(-5+3)/2 = -2/2 = -1

To find the y coordinate of the midpoint, add the y coordinates and divide by 2

(3+-1)/2 = 2/2 = 1

(-1,1)

make ,me as brainlist

A running race follows a triangular course. The first leg of the race is in a straight line, covering 4.4km. Runners turn an angle of 79 deg for the second leg, and then turn again 77 deg to head back to the start line to finish the race. What is the length of the entire race, to the nearest tenth of a kilometer?

Answers

Answer:

The length of the entire race is 9,5km

Step-by-step explanation:

Required

Determine the length of the race.

To aid my explanation, I have added an attachment which shows the triangular course.

From the attachment, we have:

A as the starting point and the following measurement;

[tex]\angle B = 11^{\circ[/tex]

[tex]\angle C = 13^{\circ} + 79^{\circ} = 92^{\circ[/tex]

[tex]\angle A + \angle B + \angle C = 180^{\circ}[/tex]

[tex]\angle A = 180^{\circ} - (\angle B + \angle C )[/tex]

[tex]\angle A = 180^{\circ} - (11^{\circ}+92^{\circ})[/tex]

[tex]\angle A = 77^{\circ}[/tex]

[tex]\angle B = 11^{\circ[/tex]

[tex]\angle C = 92^{\circ[/tex]

[tex]c = 4.4km[/tex]

Apply sine rule

[tex]\frac{a}{sin\ A} = \frac{b}{sin\ B} = \frac{c}{sin\ C}[/tex]

[tex]\frac{a}{sin\ 77^{\circ}} = \frac{b}{sin\ 11^{\circ}} = \frac{4.4}{sin\ 92^{\circ}}[/tex]

[tex]\frac{a}{sin\ 77^{\circ}} = \frac{b}{sin\ 11^{\circ}} = \frac{4.4}{0.9994}[/tex]

[tex]\frac{a}{sin\ 77^{\circ}} = \frac{b}{sin\ 11^{\circ}} = 4.403[/tex]

Split to solve for a and b

[tex]\frac{a}{sin\ 77^{\circ}} =4.403[/tex]

[tex]\frac{b}{sin\ 11^{\circ}} = 4.403[/tex]

Make a the subject

[tex]\frac{a}{sin\ 77^{\circ}} =4.403[/tex]

[tex]a = 4.403 * sin(77^{\circ})[/tex]

[tex]a = 4.403 * 0.9744[/tex]

[tex]a = 4.3km[/tex]

Make b the subject

[tex]\frac{b}{sin\ 11^{\circ}} = 4.403[/tex]

[tex]b = 4.403 * sin(11^{\circ})[/tex]

[tex]b = 4.403 * 0.1908[/tex]

[tex]b = 0.8km[/tex]

The length of the race is:

[tex]Length = a + b + c[/tex]

[tex]Length = 4.3km + 0.8km + 4.4km[/tex]

[tex]Length = 9.5km[/tex]

can anyone help with this???

Answers

Answer:

X= 13

A=104

C=26

Step-by-step explanation:

the equation is 8x+2x+50=180

10x=130

x=13

How do you solve this equation for x?

-3(x+4) = x - 4

Answers

Step-by-step explanation:

(x+4)-x=-4+3

X+4-x = -1

x-x = - 1-4

-x = - 5

Mark's father was putting in a new kitchen floor. The dimensions were 8 feet by 12 feet. If each tile was 1 square foot,
how many tiles dld he need?
87tiles 96tiles 78tiles

Answers

Answer:

96

Step-by-step explanation:

Total area is 12*8=96 square feet

Each tile is 1 square foot

The required tiles are therefore 96/1=96

15. Which of the following systems represent the graph shown?

A) 2x + 3y < 6
-x + y > -4

B) 2x + 3y _> 6
-x + y _> -4

C) x + y >_ 4
2x - 3y <_ 6

D) x + y > 4
2x - 3y < 6

Answers

A) it my lucky letter you got this

evaluate the following expression 10x(-9+(-6))

Answers

Answer:

-150x

Step-by-step explanation:

Please help due today

Answers

Answer:

14 miles

Step-by-step explanation:

3 + 4 + 3 + 4 = 14

You guessed the height of the building to be 23 feet, but it was actually 35 feet. What was your percent error? Round to the nearest WHOLE percent
please round to WHOLE

Answers

The percent error is 34.28 %.
Hope this helps! Be safe out there.

Answer:

34%

Step-by-step explanation:

35 - 23 = 12, so the guess is off by 12/35.

To find the percentage, divide 12 by 35, which is approximately 34%.

Tell me if this is right or wrong and if you can you fix it

Answers

right yes yes yes yes

Answer:

Your answers are correct; decreases by 31.50

Step-by-step explanation:

What is 5n = 185 what’s the n=__?
249 = 3y y=__?
-6w = 354 w=__?

Answers

1. n = 37

isolate n by dividing both sides by 5

2. y = 83

isolate y by dividing both sides by 3

3. w = -118

isolate w by dividing both sides by -6

PLEASE HELP I WILL GIVE BRAINALIST!!!!

AB contains points (4, 2) and (−1, −8). What is the equation of the line parallel to AB that contains point (0, 5)?

Answers

9514 1404 393

Answer:

  y = 2x +5

Step-by-step explanation:

We can use the slope formula to find the slope of AB, which is the same as the slope of the parallel line. Then, we can use the point-slope equation for a line to find the desired equation.

  m = (y2 -y1)/(x2 -x1)

  m = (-8 -2)/(-1 -4) = -10/-5 = 2

__

  y -y1 = m(x -x1) . .  point-slope form of equation for a line

  y -5 = 2(x -0) . . . . fill in m=2, (x1, y1) = (0, 5)

  y = 2x +5 . . . . . . . rearrange to slope-intercept form

If the FDIC has an insurance fund of $67.8 billion and must use 7.6% of it to cover several failed banks, approximately how much money is left in the fund?

Answers

Answer: D

Step-by-step explanation: correct on edg 2021

Guys help please I need this done in like 5-10 mins I will mark u brainliest please

Answers

Answer:

HI

Step-by-step explanation:

U got this (:

Answer:

1/4

Step-by-step explanation:

rise=y        it takes him 4 minutes to run 1 km   so rise over run would be  1//4

run=x

and him running 1 minute is half a meter

or do you need slope fomula

this is not the clearest photo so it might be wrong but i hope this clears some up please mark brainlest

m-3/18=11/18 What is m??

Answers

Answer:

I think m is a variable

Step-by-step explanation:

because a variable is a letter representing a unknown amount

Step-by-step explanation:

hope this will help you.

HELP ME IT WOULD MEAN A LOT​

Answers

Answer:

123

Step-by-step explanation:

72+51=123

123 - 72 = 51

Answer:

72+51=123

123 - 72 = 51

Step-by-step explanation:

2(1/2z+ 4)- 0.5

what could this be re written as?

a. z-3.5
b. z+7.5
c. z+8.5
d. 2z+3.5

Answers

B
First simplify whatever is in the parenthesis, do 2 times 1/2 and 2*8, which equates to z+8-0.5. Simplify further by subtracting 0.5 from 8 and you get z+7.5

Answer:

B. z+7.5 is the answer I chose

In Geometry, which kind of reasoning is used in proving theorems? Inductive or Deductive Reasoning? Why?

Answers

Answer:  

Inductive

Step-by-step explanation:

Because our conclusion is based on facts, the conclusions reached by deductive reasoning are correct and valid.

A 30 ft water slide forms a 45 degree angle with their surface of the water. How high is the top of the slide bouncer nearest whole number

Answers

Answer:

21ft

Step-by-step explanation:

sin(45°)=height/30

height=30sin(45°)

h=30×√2/2=15√2≈21.213(21ft to the nearest whole)

The height should be 21 ft.

Given that,

A 30 ft water slide forms a 45 degree angle with their surface of the water.

Based on the above information, the calculation is as follows:

[tex]sin(45^{\circ})=height\div 30\\\\height =30sin(45^{\circ})\\=30\times \sqrt 2\div 2\\\\=15\sqrt 2[/tex]

≈21.213

= 21 ft

Learn more: brainly.com/question/17429689


Evaluate y + (x2 + y) when x = 0.4, y = 3, z =

Answers

Answer:

6.16 is the answer

Step-by-step explanation:

3 + (.4^2 + 3)

3 + 3.16

6.16

5xy4 25x2y 5x2y2 What is the greatest common factor (GCF) of the monomials shown above?

Answers

Answer:

5xy

Step-by-step explanation:

I'm going out on a limb and assuming exponents.

[tex]5xy^{2} \\25x^{2}y \\5x^{2} y^{2}[/tex]

We can note that 5 is a common factor for the coefficients. All the terms share at least one x. All the terms share all least one y. So the GCF of these monomials is 5xy.

I need help please):

Answers

Answer:

7) x = 5

8) x = 10

Step-by-step explanation:

7) 2x-3=x+2

x=5

8) 4x=2x+20

2x=20

x=10


A student answered 40 problems on a test correctly and received a grade of 80%. How many problems were on the test, if all the problems
were worth the same number of points?

Answers

Answer:

Step-by-step explanation:

80x/100 = 40

80x = 4000

x= 50 problems

Answer:

50 problems

Step-by-step explanation:

40÷2 =20 = 40% 20÷2 =10 = 20%

if 10 =20% then 10 × 5 = 50 or 80%

(overthinking)

En que bote se hizo más Rosa más intenso en el de pintura roja y blanca en el cada color​

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A que te refieres con la pregunta?

(5x^2-4X + 7) - (4x + 2)

Answers

5x’2-4x+7-4x-2
We add the two 4
5x’2-8x+7-2
5x’2-8x+5
The answer is
5x’2 -8x +5
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