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
Nonamiya [84]
3 years ago
15

A carpenter has two lengths of wood; one is 108cm long and the other is 72cm long. He wants to cut them up to produce smaller pi

eces of wood to build a shelving unit so they all need to be the same length, with no wood left over. What is the greatest length, in cm, that he can make the shelves?
Mathematics
2 answers:
Akimi4 [234]3 years ago
5 0

Answer: He needs 36 cm to make the shelves.

Step-by-step explanation:

Since we have given that

Length of first wood = 108 cm

Length of second wood = 72 cm

We need to find the greatest length so that he can make the shelves.

Greatest length = h.c.f. of 108 and 72 { 36 cm.

Hence, he needs 36 cm to make the shelves.

Y_Kistochka [10]3 years ago
4 0

Answer:

36 centimeters.

Step-by-step explanation:

1. To solve this problem you must find the Greatest common factor.

2. List the prime factor of 108 and 72:

108:(2)(2)(3)(3)(3)=(2^{2})(3^{3})\\ 72:(2)(2)(2)(3)(3)=(2^{3})(3^{2})

3. Now, you must choose the common prime numbers with the lowest exponents and multiply them:

(2^{2})(3^{2})=(4)(9)=36


You might be interested in
A store buys a jacket for $20.00 and then sells it to customers for 80% more than that. What is the selling price of the jacket?
Elis [28]
Your answer would be 36.

Hope this helped!
8 0
3 years ago
Read 2 more answers
5/6÷2/7 in the simplest form
pickupchik [31]

Answer:

2 11/12 mixed number

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
I need to the anser to 4 times 6c
faltersainse [42]

Answer:

24c

Step-by-step explanation:

I see 4 times 6c, which is,

24c

Hope this helps!!

5 0
2 years ago
There are 80 seats in the small screen.
DanielleElmas [232]
One quarter of 80 is 20
7 0
2 years ago
The standard form of the equation of a parabola is y= x2 - 8x + 29.
fomenos

Answer:

A

Step-by-step explanation:

Put brackets around the first two tems.

y = (x^2 - 8x) + 29

Take 1/2 coefficient of the linear term -8. Square that result. Add it inside the brackets.

1/2 (- 8) = - 4

(- 4)^2 = 16

y = (x^2 - 8x + 16) + 29

Subtract 16 outside the brackets.

y = (x^2 - 8x + 16) + 29 - 16  

Do the subtraction

y = (x^2 - 8x + 16) + 13

Represent what is inside the brackets as a square.

y = ( x - 4)^2 + 13

The answer is A

7 0
2 years ago
Other questions:
  • Which of the following is represented by ST?​D.circumference<br>c radius<br>B center<br>A Diameter
    5·2 answers
  • Which system of linear inequalities is represented by the graph?
    15·1 answer
  • HELP ME ASAP PLZ!!!
    5·1 answer
  • Evaluate the geometric series . 254 255 508 510
    13·2 answers
  • Randy filled out a deposit slip today. He deposited two checks for $123.17 and $34.68 and took out $50 in cash
    8·2 answers
  • 44 - (2c + 3) = 4(c + 5) + c<br> solve the equation
    8·1 answer
  • How much is 6/9 + 36/9 to a mixed <br> number
    9·1 answer
  • The water level in Ricky Lake changes at an average of -716 inch every 3 years. a. Based on the rate above, how much will the wa
    15·1 answer
  • Simplify by combining like terms: 9x - 3y -5x + 2y -x + 2
    6·1 answer
  • Three-fourths of people at the concert are children. If there are 87 children, what is the total number of people at the concert
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!