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3 years ago

What is the gcf of 51 and 3

Mathematics

1 answer:

viva [34]3 years ago

6 0

Answer:

3

Step-by-step explanation:

Find the prime factors of each term in order to find the greatest common factor (GCF).

The factors of 51: 1, 3, 17 and 51.
The factors of 3: 1,3

So the greatest number of both is 3

Hope this helps

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What is the slope the line?

laila [671]

Answer:

the slope is 3/4x

Step-by-step explanation:

if you need it in slope intercept form too its y=3/4x-1

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3 years ago

Find the dimensions of an open rectangular box with a square base that holds 2000 cubic cm and is constructed with the least bui

Vesnalui [34]

<h3>The dimensions of the given rectangular box are:</h3><h3>L = 15.874 cm , B = 15.874 cm , H = 7.8937 cm</h3>

Step-by-step explanation:

Let us assume that the dimension of the square base = S x S

Let us assume the height of the rectangular base = H

So, the total area of the open rectangular box

= Area of the base + 4 x ( Area of the adjacent faces)

= S x S + 4 ( S x H) = S² + 4 SH ..... (1)

Also, Area of the box = S x S x H = S²H

⇒ S²H = 2000

$\implies H = \frac{2000}{S^2}$

Substituting the value of H in (1), we get:

$A = S^2 + 4 SH = S^2 + 4 S(\frac{2000}{S^2}) = S^2 + (\frac{8000}{S})\\\implies A = S^2 + (\frac{8000}{S})$

Now, to minimize the area put :

$(\frac{dA}{dS} ) = 0 \implies 2S - \frac{8000}{S^2} = 0\\\implies S^3 = 4000\\\implies S = 15.874 \approx 16 cm$

Putting the value of S = 15.874 cm in the value of H , we get:

$\implies H = \frac{2000}{S^2} = \frac{2000}{(15.874)^2} = 7.8937 cm$

Hence, the dimensions of the given rectangular box are:

L = 15.874 cm

B = 15.874 cm

H = 7.8937 cm

3 0

3 years ago

NEED HELP NOW. I need help finding the x-intercepts.

Bingel [31]

Answer:

To find the x-intercepts we can write:

0 = -1/2(x + 3)² + 4

0 = -1/2(x² + 6x + 9) + 4

0 = -1/2x² - 3x - 9/2 + 4

0 = -1/2x² - 3x - 1/2

0 = x² + 6x + 1

x = -3 ± 2√2 (use quadratic formula)

As a decimal this can be written as x = -5.83, x = -0.17.

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3 years ago

2r+8-r=-7 Need help ASAP

Anvisha [2.4K]

Answer:

r= (-15) is the answer to the question ok

8 0

3 years ago

Read 2 more answers

A company has 14 employees with a salary of $21,000, 11 employees with a salary of $22,800, 17 employees with a salary of $

kodGreya [7K]

Answer:

27525.4902

Step-by-step explanation:

First need to add the total number of employees:

14+11+17+3+5+1=51

Now multiply the salary for each number of employees then add to have the total:

14x21000+11x22800+17x24800+3x32200+5x38500+1x148300= 1403800

Now to obtain the mean value just divide the total salary by the total number of employees:

1403800/51= 27525.4902

the mean salary is $27,525.49

5 0

3 years ago