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
harina [27]
4 years ago
15

A 54 ft piece of string is cut into three pieces. If the second pieces is three times the first piece and the third piece is two

less than the second, find the length of each piece.
Mathematics
1 answer:
aivan3 [116]4 years ago
8 0

Answer:

  1. 8 ft
  2. 24 ft
  3. 22 ft

Step-by-step explanation:

If the length of the first piece is represented by x, then the length of the second piece is 3x, and the length of the third piece is 3x-2. The total length is ...

  x + 3x + (3x -2) = 54

  7x = 56 . . . . add 2

  x = 8 . . . . . . divide by 7

  3x = 24 . . . . length of 2nd piece

  24 -2 = 22 . . . length of 3rd piece

The first piece is 8 feet; the second piece is 24 feet; the third piece is 22 feet.

You might be interested in
You need to paint a decorative garden ornament that is in the shape of pyramid with a square base
KATRIN_1 [288]

Step-by-step explanation:

Total Surface area of a pyramid is given as

= Lateral surface area + area of base.

Lateral surface area = 1/2×perimeter of base×slant height

given the base is square with side 9 in , and slant height of 12 inches.

therefore, LSA = 1/2(9*4)×12 = 216 in^2

Now, TSA = LSA + Base area = 216+9^2 = 297 in^2

a) It is given that the pyramid is smaller therefore, it will require lesser paint than the original pyramid ( The TSA of the smaller pyramid cannot be calculated as its dimentions are not given).

b) It can not be solved as dimensions are missing in the question.

However, the logic has been explained in the soluion one easily put values to find the solution.

7 0
3 years ago
The length of a rectangle is 3.7 inches when rounded to the nearest tenth of an inch.
Lilit [14]

Answer:

hi how are you doing?

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The ratio of the number of boys to the number of girls in a school is 5:7.If there are 600 students in the school,how many girls
nekit [7.7K]
So,

The secret to solving problems with ratios is to find the value of one unit.

5:7 = 12 units total

To find one unit, divide the total number of students by the total number of units.
600/12 = a

Simplify
50/1 = a
50 = a

The value of each unit is 50.

Now, multiply the units by the numbers in the ratio.
50(5) = b
250 = boys

50(7) = x
350 = x

There are 350 girls.
3 0
3 years ago
Read 2 more answers
Which expression shows the distance you would drive from the gym to the office along this road?
-Dominant- [34]
B because absolute value means the distance of a point on a number line from 0. So the absolute value of -6 is 6 and you add that to 4
3 0
3 years ago
Which of the following statements is true? -6 < -8 -6> -8 or -6=-8
olganol [36]

Answer:

-6>-8

Step-by-step explanation:

-6 is more than -8.

4 0
3 years ago
Other questions:
  • Find the hypotenuse of each isosceles right triangle when the legs are of the given measure.
    8·1 answer
  • 15 points please help
    5·1 answer
  • points A, Q, and O are collinear. AO = 10, AQ =15, and OQ = 5. What must be true about their positions on the line?
    8·2 answers
  • P=4x+3y x=5 y=-2 work out the value of p
    7·2 answers
  • What is the measure of angle ABC? (will pick brainlyiest)
    12·2 answers
  • Solve the equation.<br><br> 2(3z-2)+8=34<br><br> A. z=3<br> B. z=-3<br> C. z=-4<br> D. z=5
    8·2 answers
  • Does the type of program people watch influence how much they eat? A total of 94 college students were randomly assigned to one
    9·1 answer
  • 1. What units cannot be used to measure weight?<br> A. ton<br> O B. inch<br> O C. pound<br> D. ounce
    7·2 answers
  • The polynomial of degree 3, P(x), has a root of multiplicity 2 at x=4 and a root of multiplicity 1 at x=−2. The y-intercept is y
    9·1 answer
  • Solve the system by graphing.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!