After cutting a piece 1.65 m long from a piece of cable, the remaining
piece is 3.50 m long. How long was the cable originally? _____

Answers

Answer 1

Answer:

5.15 m

Step-by-step explanation:

To find how long the cable was originally, find the sum of the length of the piece that was cut off and the length of the remaining piece:

1.65 + 3.5 = 5.15

The cable was originally 5.15 m long.


Related Questions

In GHJ, GH = 21 inches, HJ = 24 inches, and GJ = 9 inches. Which statement is true? A. G is smallest B. J is smallest C. H is largest D. G is largest

Answers

Answer:

G is the smallest

H is the largest

Step-by-step explanation:

Given

[tex]GH = 21[/tex]

[tex]HJ = 24[/tex]

[tex]GJ = 9[/tex]

Required

Which of the statements is true

First, we need to solve for G, H and J as follows:

[tex]G + H = 21[/tex] --- (1)

[tex]H + J = 24[/tex] --- (2)

[tex]G + J = 9[/tex] --- (3)

Make G the subject in (1)

[tex]G = 21 - H[/tex]

Substitute 21 - H for G in (3)

[tex]21 - H + J = 9[/tex]

Collect Like Terms

[tex]-H + J = 9 - 21[/tex]

[tex]-H + J = -12[/tex]

Make J the subject

[tex]J = H - 12[/tex]

Substitute H - 12 for J in (2)

[tex]H + H - 12 = 24[/tex]

[tex]2H - 12 = 24[/tex]

Collect Like Terms

[tex]2H = 24 + 12[/tex]

[tex]2H = 36[/tex]

Solve for H

[tex]H = 18[/tex]

Substitute 18 for H in [tex]J = H - 12[/tex]

[tex]J = 18 - 12[/tex]

[tex]J = 6[/tex]

Substitute 18 for H in [tex]G = 21 - H[/tex]

[tex]G = 21 - 18[/tex]

[tex]G = 3[/tex]

So, we have that:

[tex]G = 3[/tex]     [tex]J = 6[/tex]     [tex]H = 18[/tex]

Hence, we can conclude that:

G is the smallest

H is the largest

WHICH TABLE IS A FUNCTION?
TABLE A
TABLE B
NEITHER
BOTH

Answers

i believe it neither

Answer:

I honestly think its neither

14. Devon has an area rug with a width 3 feet less than its length, l. He has purchased a larger rug to fit into his new dorm room. Both length and width of Devon's new rug are 2 feet longer than the original. Find the simplified expression of the perimeter and the NEW rug.​ plsssss help.me show work

Answers

Answer:

Perimeter of the new rug   = 4x+2 feet

Step-by-step explanation:

Let the length be x feet and the width of the first rug will be x- 3 feet

Area = length * breadth = x * (x-3) = x²- 3x

Length of the new rug = x+2 feet

Width of the rug = x+2-3= x-1 feet

Perimeter of the recatngle = 2( length + breadth)

                                             = 2( x+2 + x-1)

                                               = 2 (2x+1)

                                                = 4x+2 feet

The graph below shows the distance, y, in miles, of a bird from its nest for a certain amount of time, x, in minutes:

Graph titled Distance Vs Time is shown with Time in minutes along the x axis and Distance from Nest in miles along the y axis. The scale on the x axis shows the numbers 0 to 25 at increments of 5, and the scale on the y axis shows the numbers 1 to 8 at increments of 1. A straight line joins the ordered pairs 0, 3 and 5, 4 and 10, 5 and 15, 6 and 20, 7.

Based on the graph, what is the initial value of the graph and what does it represent? (1 point)

a
3 miles per minute; it represents the speed of the bird

b
0.2 mile per minute; it represents the speed of the bird

c
0.2 mile; it represents the original distance of the bird from its nest

d
3 miles; it represents the original distance of the bird from its nest

Answers

Answer:

(d).

Step-by-step explanation:

The y-intercept (0, 3) is initial value of graph ⇒ (d). 3 miles; it represents the original distance of the bird from its nest

Answer:

0.2 mile; it represents the original distance of the bird from its nest

Step-by-step explanation:

pls ayuda es para hoy mismo y es un examen

Answers

Answer:

-4

6x+29=5

6x=5-29

6x=-24

x=-4

 

Answer

es-4

Step-by-step explanation:

Anelle is saving to buy a guitar that costs $350. So far she has saved $105.20. She wants to buy the guitar in 18 weeks. Based on this information, which statement is true?

Answers

Answer:

Step-by-step explanation:

350-105.20= 244.80 is still needed

I don't have the statements so...

244.80/18 weeks = 13.60 She'll need to save at least $13.60 a week for 18 weeks to make up the difference.

Answer:

Step-by-step explanation:

18x + 105.2 ≥ 350

18x ≥ 244.8

x ≥ 13.6

She has to save at least $13.6 per week.

The corner market sells potatoes at a rate of 1/2 dollars per potato.
1. Amanda is only able to spend $5 on potatoes. What is the most number of potatoes she can buy?
2. Sam wants to buy 15 potatoes. How much will that cost him?

Answers

Answer:

The cost of 15 potatoes is $7.50

Step-by-step explanation:

The potatoes are sold at a rate of $0.5 per potato.

1. Given Amanda can only spend $5 on potatoes at that price, she can buy at most $5 / 0.5 = 10 potatoes.

Amanda can buy at most 10 potatoes

2. Sam wants to buy 15 potatoes at that very same price. The cost of 15 potatoes is:

15 * $0.5 = $7.50

The cost of 15 potatoes is $7.50

What is the Mean of 2,10,18,14,6

Answers

Answer:

10

Step-by-step explanation:

2+10+18+14+6= 50

then divide by 5 to get mean = 10

Answer:

the answer is 10

Step-by-step explanation:

if you add up all the numbers you get 50

and if you divide it by the number of results, in this case 5, you get 10!

Debra Goforth's savings account shows a balance of $904.31 on March
1st. The same day, she made a deposit of $375.00 to the account. She
also made deposits of $500.00 on April 1st and May 1st. The bank pays
interest at a rate of 5.5 percent compounded daily. What will be the
amount in her account on May 29?

Answers

Answer:

Debra Goforth's savings account shows a balance of $904.51 on March 1. The same day, she ... of $904.51 on March 1. The same day, she made a deposit of $375.00 to the account. She also made deposits of $500.00 on April 1 and May 1. The bank pays interest at a rate of 5.5 percent compounded daily.

Step-by-step explanation:

Hope this helps!

Find the recursive rule, explicit rule, and f(20)

Answers

Answer:

Recursive:

[tex]f(1)=4, f(n)=f(n-1)-4[/tex]

Explicit:

[tex]f(n)=4-4(n-1)[/tex]

And the 20th term f(20) is -72.

Step-by-step explanation:

We have the sequence:

4, 0, -4, -8...

Let’s find the recursive and explicit rule for the sequence.

Recursive Rule:

Let’s determine the factor by which the sequence is decreasing by. We see that each subsequent term is 4 less than the previous term. In other words, our common difference is -4.

So, this is a arithmetic sequence.

The standard format for an recursive rule for an arithmetic sequence is:

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

Where a is the initial term and d is our common difference.

From our sequence, we know that our initial term a is 4.

We also determined that our common difference is -4.

Substitute. Hence, our recursive rule is:

[tex]f(1)=4, f(n)=f(n-1)-4[/tex]

Explicit Rule:

The standard format for an explicit rule for an arithmetic sequence is:

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

Where a is the initial term and d is the common difference. So, again, let’s substitute 4 for a and -4 for d. Hence, our explicit formula is:

[tex]f(n)=4-4(n-1)[/tex]

To find f(20), we can use the explicit formula. It is possible to use the recursive formula, but it gets tedious. Therefore, we will substitute 20 for n for our explicit formula:

[tex]f(20)=4-4(20-1)[/tex]

Evaluate:

[tex]\begin{aligned} f(20)&=4-4(19) \\ f(20)&=4-76 \\ f(20)&=-72 \end{aligned}[/tex]

Hence, our 20th term is -72.

HELP IM ON GRADPOINT I AM ON A QUIZ IF I CAN ALSO GET THE REST OF THE ANSWERS I WILL MARK BRAINLYEST

Answers

Answer:

top is independent, bottom is dependent

Step-by-step explanation:

top has only 1 answer, bottom has infinite answers

Count by 50 cents up to $4.00. Use dollar notation

Please help me

Answers

Answer:

1$, $1.50, $2, $2.50, $3, $3.50

Answer:

$1.00, $1.50, $2.00, $2.50, $3.00, $3.50

Step-by-step explanation:

Just add .50 (cents) on every time. When it comes to dollar notation, it should be marked with the dollar sign in front, and then the dollar amount, and then a decimal and the cent amount. The cent amount would be to the hundreths.

Which is the best estimate of 11 and one-fifth divided by 2 and three-fourths?

Answers

Answer:

4 should be the answer to the question

Answer:

11 1/5 divided by 2 3/4:

11 1/5 is a bit less than 12, and 2 3/4 is a bit less than 3  

The answer, therefore, should be fairly close to 12 ÷ 3

12 ÷ 3 is 4

Answer is 4

Step-by-step explanation:

Factorize:
x^4 - 6x^2 - 27​

Answers

x^4 - 6x^2 - 27

Let u = x^2

We know that x^4 = (x^2)^2.

u^2 - 6u - 27

(u - 9)(u + 3)

Now, back-substitite for u.

(x^2 - 9)(x^2 + 3)

The RIGHT SIDE FACTOR is the difference of two squares.

So, x^2 - 9 becomes (x - 3)(x + 3).

(x - 3)(x + 3)^2

Done.

What is the greatest common factor of 9 and 12? 3 9 36 108

Answers

Answer:

The GCF would be 3

Step-by-step explanation:

You’re welcome :)

Answer:

1. A

Step-by-step explanation:

What system of inequalities is shown in the graph?
A. x 2x + 3
B. x 3x + 2
C. x ≤ −1 and y ≤ −0.4x + 2
D. x ≤ −1 and y ≤ −2x + 2

Answers

I think the answer is C

It will take 20 points to make the playoffs, the Hockey Team coach told the players. "We get 2 points for a win and 1 point for a tie." Let be the number of wins and be the number of ties. Write an equation to describe the values of and that will let them make the playoffs.​

Answers

Answer:

[tex]2x+y\geq 20[/tex]

Step-by-step explanation:

Given that total points required to make the playoffs = 20 points

As there is 2 points for a win,

so points earned for x win = 2x

Similarly, as there is 1 point for a tie.

so points earned for y ties = 1[tex]\times[/tex] y= y

Total points earned for x win and y ties = 2x+y

As the team makes the playoff so the total points of the team must be equal to or greater than 20 points (i.e the minimum points to make the playoff), so

[tex]2x+y\geq 20[/tex]

Hence, the required equation is [tex]2x+y\geq 20[/tex].

i need help with these questions ​

Answers

Hope this helps
It’s the answer for the 4th Question.

Douglas has a box with 49 paper clips.
Of the paper clips, 15 are yellow, 9 are
red, 6 are blue, 11 are orange and 8
are green. Douglas randomly picks 2
paper clips from the box.

If the first paper clip is red, what is the probability that the second paper clip is blue?

Answers

Answer:

6/48 is the likely possibility that he will pull out a blue one.

Step-by-step explanation:

The first thing you will look at is how many blue there is and in this case there is 6. All you have to do (if it didn't already) is add up all of the paperclips and put the blue total number to get your answer. So if there was 49 but he drew out one to make it 48.  So the answer is 6/48

somebody please help me what is 15 / 3 ×7/20​

Answers

Answer:

1.75

Step-by-step explanation:

By Order of Operations, You read it left to right since Multiplication and Division are of the same importance. You would start with 15/3, which is 5.

Then your equation would be:  5*7/20.

Again, you would just read it left to right, 5*7=35

Then divide by 20, which is 1.75.

What is the successor of 2,550

Answers

Answer:

2551

Step-by-step explanation:

The successor of a number is 1 more than it.

PLS GIVE BRAINLIEST

What is the image of (-4,-7)(−4,−7) after a reflection over the x-axis?

Answers

Answer:

(-4,7)

Step-by-step explanation:

(-4,-7) is in the bottom left corner on a graph. The x axis goes horizontal so if it reflects it would be at (-4,7)

Solve for a

ab + c = d

c
—-
a= b+ d

b
——-
a= (c+d)


(d-c)
a= ———
b

Answers

Bro I literally had a dream about that

Answer:

A

Step-by-step explanation:

just took the test

help me plz asap now I just need answer question in pic

Answers

I was just about to ask this question

Step-by-step explanation:

Im on this question rn, i need help to :(

Answer:  just guess :)

Step-by-step explanation:

Nathan measured a line to be 7.4 inches long. If the actual length of the line is 7.2 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?

Answers

Answer:

2.8%

Step-by-step explanation:

(7.4 - 7.2) / 7.2 =

0.2 / 7.2 =

2.7777777777778%

12 + 4x – 4 = 12x – 9 – 8x

Answers

Answer:

No solution

Step-by-step explanation:

Basically the simplified equation is 17 = 0, which is wrong so there is no solution.

What is the larger number: 5 or the Square Root of 26. Why?

Answers

Step-by-step explanation:

square root of 26

becoz √26=5.099

=5.1

Answer:

square root of 26

Step-by-step explanation:

this is because when 26 is squared it equals 5.09902, so 5.1 is greater than 5

Lisa loaned John $5000 at an interest rate of 6%. He repaid her $5750 to cover the principal and interest. How long did he borrow the money?

Answers

Answer:

time in years = 2.5 years

Step-by-step explanation:

time = interest / (principal amount x rate)

time = 750 / 5000 x 0.06

time = 750 / 300

time = 2.5 years

15% tip on a bill of $51.03

Answers

Answer:

7.6545

Step-by-step explanation:

Answer: total = $58.68, tip = $7.65
Explanation: 15% of 51.03 + 51.03. So (15/100)*51.03+51.03= 7.6545 +51.03 = 58.6845. The tip is $7.65 and the final amount is $58.68.
Another way to solve is: 1.15 * 51.03 = 58.6845. This works because (15/100)*51.03+51.03–> 51.03*((15/100)+1) distributive property. For tip only, subtract 51.03 and you get 7.6545

Factor-262 +65k - 2b

Answers

Answer:

-262 +65k =2b is not factorable with rational numbers

Step-by-step explanation:

Other Questions
Read this student's rough draft.The holiday weekend driving had been slow, and Myra was cramped in the backseat with her little brothers. At least she had a window seat. She had read for 100 miles, a painfully slow three hours, and she needed a diversion. She looked out the window and watched the green mile markers slowly tick by. She saw signs for the Tri-Cities Beltway and wondered what they might encounter.What sentence would best add descriptive details to the end of this paragraph?A.) The Tri-Cities Beltway had been constructed to alleviate traffic for three cities, but the merge was always problematic.B.) The car slowed to a snails pace, and the line of cars ahead stretched out of sight, with exhaust fumes looming overhead.C.) Myra reached into the backseat cooler and found a sandwich and a soda her mother had packed.D.) The Beltway was a direct path back to their town, and Myras family had only 35 miles left to travel. PLEASE ANSWER QUICKLY!!NEED HELP!!AMERICAN GOVERNMENTwhat are the answers to these questions solve for x......... If 5 men paint a wall in 3hours,How many men will paint the same wall in 3/4 hours,working at the same rate a)5b)10c)15d)20e)24 Name two properties of a good marker and explain why good markers are important. Your car gets a flat! You go from 90 kilometers per hour to a stop in 6 seconds. What is your rate of deceleration? (it's negative!)I need this ASAP! Discuss why you think there is or is not value in exploring and learning about to exoplanets that existPLEASE HELP 25 POINTS Please help out with this worksheet please i would appreciate it is 0.5 or 17/34 greater What kind of evidence is given for the claim made in the paragraph? differences between Brazilian rhythms and Cuban based rhythms.Music is considered a type of art right? How did completion of the Ernie canal in 1825 affect United States commerce? johns dog eats 4/5 tin of mince meat added in his meal every day . if dog eats 35 full tins of meat in one week(7 days) then how much does it eat every day. Provide an example of a Food Chain. What were Martin Luthers criticism of the Roman Catholic Church? What was the ancient Egyptian name for Orion?a.Siriusc.Sah or Sahub.the harbingerd.Decan or decans Gail collects trading cards. Her favorites are baseball and football cards. Forevery 10 baseball cards she owns, Gail has 17 football cards. What is theratio of baseball cards to football cards in her collection?O A. 17:10B. 10 and 17O c. 12O D. 17 to 10 simplify the following square root -1= Find the solution for this system of equations:y = -6x - 8y = 46O A) (24, -36)OB) (36,-5)OC) (46, -7)OD) (-9. 46) 15+10f=-12 does someone knows this one?