1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Evgen [1.6K]
3 years ago
15

A 31​-inch piece of steel is cut into three pieces so that the second piece is twice as long as the first​ piece, and the third

piece is three inches more than four times the length of the first piece. Find the lengths of the pieces.
Mathematics
2 answers:
Nostrana [21]3 years ago
6 0

Answer:

The length of the first piece is 4 inches, that of the second is 8 inches and the third 19 inches.

Step-by-step explanation:

Total length of the steel = 31 inches

Let the length of the first piece = x

let the length of the second piece = y

Let the length of the third piece = z

So,    

  y = 2x

  z = 4x + 3

x + 2x + 4x +3  = total length of the steel = 31

   7x + 3 + 31

    7x = 31 - 3

    7x = 28

    x= 4 inches

Thus; y = 2x = 2 × 4 = 8 inches

         z = 4x +3 = 4×4 +3 =19 inches

∴The length of the first piece is 4 inches, that of the second is 8 inches and the third 19 inches.

sergij07 [2.7K]3 years ago
4 0

Answer:

The length of the first piece is 4, the length of the second piece is 8 and the length of the third piece is 19

Step-by-step explanation:

<u><em>A 31​-inch piece of steel is cut into three pieces so that the second piece is twice as long as the first​ piece, and the third piece is three inches more than four times the length of the first piece.</em></u>

<u><em /></u>

To solve this, we need to write the mathematical statement.

Let x, y, and z equal to the length of the first, second and the third piece respectively

From the first statement;"A 31​-inch piece of steel is cut into three pieces", this can be represented mathematically as x + y + z = 31------------------(1)

The next statement is; "so that the second piece is twice as long as the first​ piece", this can be represented mathematically as y= 2x------------------------(2)

The next statement is;"the third piece is three inches more than four times the length of the first piece", this can be mathematically written as z=3+4x--------------------------------(3)

We can now proceed to solve

substitute equation (2) and (3) into equation (1)

x + y + z = 31

x + 2x + 3+4x=31

7x + 3 = 31

subtract 3 from both-side of the equation

7x + 3-3 = 31-3

7x =28

Divide both-side of the equation by 7

7x/7 = 28/7

x = 4

Substitute x=7 in equation (2) to get the value of y

y=2x

y = 2(4)

y = 8

Substitute x=4 in equation (3) to get the value of z

z= 3+4x

z=3+4(4)

z=3+16

z=19

Therefore x=4  y=8 and z=19

The length of the first piece is 4, the length of the second piece is 8 and the length of the third piece is 19

You might be interested in
Charles is 20% heavier than Edith. If Charles weighs 60kg, what is Edith's weight?​
ddd [48]

Charles' weight = Edith's weight + 20% of Edith's weight

We'll use a variable to represent Edith's weight, x.

The decimal form of 20% is 0.2.

60 = x + 0.2x

60 = 1.2x

x = 50

Edith's weight is 50kg.

Hope this helps!

4 0
1 year ago
How to make a circeldiagramm
lys-0071 [83]
Make a circle and then another circle. There should be a oval in the middle. 
Like this:
 https://docs.google.com/drawings/d/10jIdkQW5rnxfDS9T2WeqkwRTvl92oJsYkXVLj8Zn6hU/edit



4 0
3 years ago
Answer this question to get 20 points!!!!
Ludmilka [50]

Answer:

Blue

Step-by-step explanation:

First, we need to find the LCD (Least common denominator)

Rewriting input as fractions if necessary:

1/10, 1/4, 1/5

For the denominators (10, 4, 5) the least common multiple (LCM) is 20.

Therefore, the least common denominator (LCD) is 20.

Now, we convert:

Red Marbles: 1/10 = 2/20

Blue Marbles: 1/4 = 5/20

Yellow Marbles: 1/5 = 4/20

As we can see, blue has the most. Now we have our answer! Good luck!

8 0
3 years ago
What is 3/5 ÷ 3/7 help please
Rus_ich [418]
3/5 /  3/7

= 3/5 * 7/3

= 7/5   or 1 2/7
8 0
3 years ago
Can someone please help me with this
Iteru [2.4K]
The answer is 5 3/4.............
8 0
2 years ago
Read 2 more answers
Other questions:
  • Holly's fitness tracker shows how many
    8·1 answer
  • Danielle can run one mile in 8.835 minutes Alex can run 1 mile and 9.75 minutes how much longer in minutes does it take for Alex
    14·1 answer
  • Pls help me find f(0)
    12·1 answer
  • Ethan sold 2 3 gallon of lemonade. Kayla sold some lemonade too. Together, they sold 1 1 4 gallons. Who sold more lemonade, Etha
    10·1 answer
  • On Tuesday a local hamburger shop sold a combined total of 264 hamburgers and cheeseburgers. The number of cheeseburgers old was
    13·1 answer
  • Please help please please help please
    5·1 answer
  • For the love of God help me !! I'm desperate for it tomorrow
    12·2 answers
  • Suppose that it is known that the number of items produced in a factory during a week is a random variable with mean 50. If the
    10·1 answer
  • I need to show work and Idk how for 2 or 3. The -5,-2 and 8,3 is the answers just need work shown thanks
    8·1 answer
  • Find the median of the following: 302, 220, 221, and 208. if needed, round your answer to the nearest tenth
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!