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
MaRussiya [10]
3 years ago
14

Lily is cutting a piece of yarn into 3 (three) pieces. The 2nd piece is 3 times as long as the 1st piece, while the 3rd piece is

6 centimeters longer than the 1st piece. When the yarn has a total length of 211 centimeters, calculate the length of the first piece.
Mathematics
1 answer:
STatiana [176]3 years ago
6 0

Answer:

The length of the first piece = 41 cm

Step-by-step explanation:

Let the length of the first piece = a

Let the length of the second piece = b

Let the length of the third piece = c

we are given the following:

b = 3a . . . . . (1)     (The 2nd piece is 3 times as long as the 1st piece)

c = 6 + a  . . . . (2)    (the 3rd piece is 6 centimeters longer than the 1st piece)

a + b + c = 211 . . . . . (3)    (  the yarn has a total length of 211 centimeters)

Next, let us eliminate two variables, and this can easily be done by substituting the values of b and c in equations 1 and 2 into equation 3. this is done as follows:

a + b + c = 211

a + (3a) + (6 + a) = 211       ( remember that   b = 3a; c = 6 + a)

a + 3a + 6 + a = 211

5a + 6 = 211

5a = 211 - 6 = 205

5a = 205

∴ a = 205 ÷ 5 = 41 cm

a = 41 cm

Therefore the length of the first piece (a) = 41 cm

now  finding b and c

substituting a into equation 1 and 2

b = 3a

b = 3 × 41 = 123

∴ b = 123 cm

c = 6 + a

c = 6 + 41 = 47

∴ c = 47 cm

You might be interested in
Orthographic projection and isometric projection are two ways to show three-dimensional objects in a two-dimensional space, such
DerKrebs [107]

Answer:

Orthographic Projection is used for making the projects but Isometric Projection is used to have better understanding of the object.

Orthographic drawings are typically two dimensional views of an object. For instance, if you were designing a table, you would draw a top view, side view and a bottom view. Should these three views not fully explain the design of the table other views would need to be drawn. When drawing an perspective view in an orthographic manner, you would utilize a 45 degree triangle for the lines that extend back or forward from the vertical lines. This type of perspective is not a true perspective because you can measure the true length of all the details shown. An isometric drawing is meant to depict a 3D image of an object in what appears to be a perspective view. However, similar to an orthographic perspective, all of the lines in an isometric drawing can be measured to their true length. What makes it different from an orthographic perspective is that its angled lines are drawn at 30 or 60 degrees or divisions of them. Drawing this by hand you would use a 30/60/90 triangle.

In either case, both types of perspectives can be accurately measured with a ruler in order to know the objects measurements.

Step-by-step explanation:

5 0
3 years ago
Find the distance between the points (-4, 6) and (-1,5).
Leto [7]

the square root of 10 is the correct answer

3 0
3 years ago
What is the value of the expression<br>(25 - 7) X 2 + 4 + 2?<br>​
MissTica

Answer:42

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
if a triangle mesures 40 degrees and 100 degrees what triangle is it Scalene Isosceles or equilateral
kompoz [17]
Scalene triangle good luck
7 0
3 years ago
What is the value of “y” in y = -3x if the value of ‘x’ is 2?
svetoff [14.1K]

Answer:y=-6

Step-by-step explanation:

-3(2)

6 0
3 years ago
Other questions:
  • my number has a ten digit that is 8 more than the ones digit. zero is not one of my digits. my number is?
    9·1 answer
  • The polynomial 2x^3 + 9x^2 + 4x - 15 represents the volume in cubic feet of a rectangular holding tank at a fish hatchery. The d
    5·1 answer
  • A bag contains 25 marbles, some blue and some green. The ratio of blue marbles to green ones is 3:2 how many green marbles are t
    12·1 answer
  • If you see the picture please help
    7·2 answers
  • Given the list of ordered pairs, what is the x intercept (8,10),(3,-4),(0,8),(4,-3),(9,0)
    6·1 answer
  • How do you graph 24x-8y=56
    15·2 answers
  • The figure below shows segments KL and MN which intersect at point P. Segment KM is parallel to segment LN:
    5·2 answers
  • How do you graph this equations <br> y=2x+2<br> y=-2x-6
    12·1 answer
  • The Science Club went on a two-day field trip. The first day the members paid $30 for transportation plus $10 per ticket to the
    6·1 answer
  • Subtract 6.28-1.26 =?<br> a)4.98<br> b)5.02<br> c)5.20<br> d)5.28
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!