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2 years ago

What are the greatest common factors of 28,35 and 56.

Mathematics

1 answer:

Zinaida [17]2 years ago

5 0

Answer:

Step-by-step explanation:

28 35 56

1 and 28 1 and 35 1 and 56

2 and 14 7 and 5 2 and 28

4 and 7 4 and 14

7 and 8

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5 times the sum of 8 and d

SVETLANKA909090 [29]

Answer:

Step-by-step explanation:

To write Five times the sum of a number and one you first make "a number" into a variable. In this case let's call it

Next let's create the sum of a number and one. This would be:

Then to get five times this number we need to multiple this expression by five to get:

⋅

(

)

5 0

3 years ago

Simplify: 3c-5d+5d Pls

Arturiano [62]

Answer:

3 c

Step-by-step explanation:

Simplify the following:

5 d - 5 d + 3 c

Hint: | Combine like terms in 5 d - 5 d + 3 c.

5 d - 5 d = 0:

Answer: 3 c

5 0

3 years ago

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A right circular cylinder is inscribed in a sphere of radius r. Find the dimensions of such a cylinder with the largest possible

Burka [1]

Answer:

Largest volume in terms of r = 4r^3π/ 3√3 or you could write it as 4√3r^3π/9.

Step-by-step explanation:

3 0

3 years ago

Find a positive number for which the sum of it and its reciprocal is the smallest (least) possible. Let x be the number and let

Allisa [31]

Answer:

$S(x) = x + \frac{1}{x}$ --- Objective function

Interval = $\{x:x=1\}$

Step-by-step explanation:

Given

Represent the number with x

The required sum can be represented as:

$x + \frac{1}{x}$

Hence, the objective function is:

$S(x) = x + \frac{1}{x}$

To get the the interval, we start by differentiating w.r.t x

Using first principle, this gives:

$S'(x) = 1 - \frac{1}{x^2}$

Equate S'(x) to 0 in order to solve for x

$0 = 1 - \frac{1}{x^2}$

Subtract 1 from both sides

$0 -1 = 1 -1 - \frac{1}{x^2}$

$-1 = - \frac{1}{x^2}$

Multiply both sides by -1

$1 = \frac{1}{x^2}$

Cross Multiply

$x^2 * 1 = 1$

$x^2 = 1$

Take positive square root of both sides because x is positive

$\sqrt{x^2} = \sqrt{1$

$x = 1$

Representing x using interval notation, we have

Interval = $\{x:x=1\}$

To get the smallest sum, we substitute 1 for x in $S(x) = x + \frac{1}{x}$

$S(1) = 1 + \frac{1}{1}$

$S(1) = 1 + 1$

$S(1) = 2$

Hence, the smallest sum is 2

3 0

3 years ago

Is -30 - (-52) positive or negative?

Luba_88 [7]

Answer:

positive

Step-by-step explanation:

3 0

3 years ago

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