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PilotLPTM [1.2K]
3 years ago
10

a lumberyard worker is cutting three tree trucks into equal sections. the trunks measure 28 feet, 14 feet, and 42 feet. if the s

ections are as long as possible, how long should each section be?
Mathematics
2 answers:
Nana76 [90]3 years ago
6 0

Answer: The maximum length of each section should be 14 feet.

Step-by-step explanation:

Since we have given that

Measures of trunks are 28 feet, 14 feet, and 42 feet.

We need to cut three tree trunks into equal section so that the size of sections are as long as possible.

So, we do H.C.F. of 28,14, and 42.

And H.C.F. of 28,14, and 42 = 14

So, the maximum length of each section should be 14 feet.

Ivanshal [37]3 years ago
4 0
Answer: 14 feet

you have to find the GCF (greatest common factor)

14: 1, 2, 7, 14
28: 1, 2, 4, 7, 14, 28
42: 1, 2, 3, 6, 7, 14, 21, 42

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4 0
4 years ago
A company has a budget of $280,000 for computing equipment. Tablets cost $500 each, laptops cost $2000 each, and servers cost $5
Kazeer [188]

Answer:

The number of tablets  200

the number of laptops  40

and, the number of servers 20

Step-by-step explanation:

Let the number of tablets be 'x'

the number of laptops be 'y'

and, the number of servers be 'z'

According to the given question

Total budget = $280,000

Tablets cost = $500 each

laptops cost = $2000 each

servers cost = $5000 each

Thus,

500x + 2000y + 5000z = 280,000 ..............(1)

also,

x = 5y  ................(2)

and,

y = 2z  

or

z = \frac{\textup{y}}{\textup{2}}   ............(3)

substituting y from 2 and 3 in equation 1,  we get

(500 × 5y) + (2000 × y) + (5000 × \frac{\textup{y}}{\textup{2}} ) = 280,000

or

2500y + 2000y + 2500y = 280,000

or

7000y = 280,000

or

y = 40

substituting y in equation 2, we get

x = 5 × 40 = 200

substituting y in equation 3 we get

z = \frac{\textup{40}}{\textup{2}}

or

z = 20

hence,

the number of tablets  200

the number of laptops  40

and, the number of servers 20

7 0
4 years ago
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