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3 years ago

What is the gcf of 36, 126, and 210?

Mathematics

2 answers:

Mrrafil [7]3 years ago

5 0

Answer:

<em>Brainliest, please! (Almost an Ace!)</em>

Step-by-step explanation:

Look at the smallest factor, 36. Find its factors.

36: 1, 2, 3, 6, 12, 18, 36

Out of all of them, which is the biggest one that 126 and 210 are also divisible by?

We see that they're divisible by 1, 2, 3, and 6.

Our answer is 6.

Artyom0805 [142]3 years ago

4 0

Answer:

Greatest common factor (GCF) of 36 and 210 is 6.

Step-by-step explanation:

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The greatest common factor of 18 and a mystery number is 6. Give three possible values for the mystery number.

ratelena [41]

The numbers could be 6, 12, 24.

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3 years ago

A chemistry professor who teaches a large lecture class surveys his students who attend his class about how he can make the clas

Iteru [2.4K]

Answer:

Step-by-step explanation:

I believe it's Voluntary Response Bias

7 0

3 years ago

A rectangular box is to have a square base and a volume of 12 ft3. If the material for the base costs $0.17/ft2, the material fo

katen-ka-za [31]

Answer:

(a)Length =2 feet

(b)Width =2 feet

(c)Height=3 feet

Step-by-step explanation:

Let the dimensions of the box be x, y and z

The rectangular box has a square base.

Therefore, Volume of the box $V=x^2z$

Volume of the box $=12 ft^3\\$

$Therefore, x^2z=12\\z=\frac{12}{x^2}$

The material for the base costs $\$0.17/ft^2$ , the material for the sides costs $\$0.10/ft^2$ , and the material for the top costs $\$0.13/ft^2$ .

Area of the base $=x^2$

Cost of the Base $=\$0.17x^2$

Area of the sides $=4xz$

Cost of the sides= $=\$0.10(4xz)$

Area of the Top $=x^2$

Cost of the Base $=\$0.13x^2$

Total Cost, $C(x,z) =0.17x^2+0.13x^2+0.10(4xz)$

Substituting $z=\frac{12}{x^2}$

$C(x) =0.17x^2+0.13x^2+0.10(4x)(\frac{12}{x^2})\\C(x)=0.3x^2+\frac{4.8}{x} \\C(x)=\dfrac{0.3x^3+4.8}{x}$

To minimize C(x), we solve for the derivative and obtain its critical point

$C'(x)=\dfrac{0.6x^3-4.8}{x^2}\\Setting \:C'(x)=0\\0.6x^3-4.8=0\\0.6x^3=4.8\\x^3=4.8\div 0.6\\x^3=8\\x=\sqrt[3]{8}=2$

Recall: $z=\frac{12}{x^2}=\frac{12}{2^2}=3\\$

Therefore, the dimensions that minimizes the cost of the box are:

(a)Length =2 feet

(b)Width =2 feet

(c)Height=3 feet

7 0

3 years ago

In a survey of 1046 adults conducted by Bradley Corporation, subjects were asked how often they wash their hands when using a pu

prohojiy [21]

Answer:

Sample = 1046

Population = All adults.

Step-by-step explanation:

In Statistics, a sample can be defined as a set of items, objects or individuals collected, selected or drawn from a population. Thus, a sample is a subset of a population. In this scenario, the sample is 1046.

On the other hand, population can be defined as the total number of individuals in a survey. Thus, all the adults are a population.

8 0

3 years ago

Use the quadratic formula to solve the equation.–x2 + 5x = 3

Karo-lina-s [1.5K]

Given the equation - x² + 5x = 3, which can be rewritten as:

- x² + 5x - 3 = 0

where a = -1, b = 5 and c = -3.

Quadratic formula:

$\frac{-b\text{ }\pm\text{ }\sqrt[]{b^2\text{ - 4ac}}}{2a}$

Now, we just replace the values of a, b and c on the equation above.

$\frac{-5\text{ }\pm\text{ }\sqrt[]{5^2\text{ - 4(-1)(3)}}}{2(-1)}$

$\frac{5}{2}\text{ }\pm\text{ }\frac{\sqrt[]{13}}{2}$

4 0

1 year ago