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3 years ago

What is the GCF of 36, 48, and 60?

Mathematics

1 answer:

Neko [114]3 years ago

7 0

Answer:

Step-by-step explanation:

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Chloe has enough sand to fill a sandbox with an area of 36 square units. She wants the outer edges of the sandbox to use as litt

sergiy2304 [10]

Answer:

The dimensions of the box is 6 × 6 units.

Step-by-step explanation:

Chloe fill a sand box whose area is 36 square units.

Let length be x units and width be y units.

Area of box = 36

$xy=36\\y=\dfrac{36}{x}\ \ \ ...(i)$

Perimeter of box, $P=2(x+y)$

$P=2(x+\dfrac{36}{x})\ \ \ \ \ \ \ \ [\text{ From }(i)]$

Differentiate w.r to x

$\dfrac{dP}{dx}=2(1-\dfrac{36}{x^2})$

For critical point, $\dfrac{dP}{dx}=0$

$\therefore 2(1-\dfrac{36}{x^2})=0$

$\Rightarrow x=\pm6$

x can't be negative.

$\dfrac{d^2P}{dx^2}=\dfrac{144}{x^3}\\\dfrac{d^2P}{dx^2}|_{x=6}=\dfrac{144}{216}>0(\text{min})$

$P_{min}=24$ units

Hence, Length = 6 units and width = 6 units

5 0

3 years ago

Solve 5x+2y=4 x-y=5 (by elimination)I really need help

Ray Of Light [21]

I hope this helps you

x=5+y

5 (5+y)+2y= 4

25+5y+2y=4

7y= -21

y= -3

x=5+y

x=5-3 x= 2

6 0

3 years ago

Literally pls help me like literally pls i need help pls

jarptica [38.1K]

Answer:

2\16

Step-by-step explanation:

3 0

3 years ago

Graph the linear function w(x)=3/5x+2<br> All I need is the ordered pairs/points

Anastaziya [24]

9514 1404 393

Answer:

(0, 2), (5, 5)

Step-by-step explanation:

The w-intercept is the constant in the equation, so you know immediately that (x, w) = (0, 2) is one point on your graph.

Since the value of x is being multiplied by 3/5, it is convenient to choose an x-value that is a multiple of 5. When x=5, we have ...

w(5) = (3/5)(5) +2 = 3+2 = 5

So, (x, w) = (5, 5) is another point on your graph.

3 0

2 years ago

An electric motor pumps water into a pool at a rate of 500 liters per hour. After a tune up, its rate increases by x liters per

Alex73 [517]

Answer: 3(500+x)=1800

4 0

3 years ago