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ale4655 [162]
3 years ago
5

Suppose LCM(a,b) = 20160, a=60. Find the smallest possible value of b.

Mathematics
2 answers:
Black_prince [1.1K]3 years ago
7 0

Answer:

63

Step-by-step explanation:

1260=22*32*5*7

 60=22*3*5

Therefore we need the smallest number divisible by seven and nine, which is 7*9=63.

Mars2501 [29]3 years ago
5 0

Answer:

see below

Step-by-step explanation:

given:

LCM(a,b) = 20160, a=60

find:

smallest possible value of b

solution;

60, b = 20,160

b = 20,160 / 60

b = 336

60 x 336 = 20,160

= 2⁶ x 3² x 5 x 7

= (2² x 3 x 5) x (2⁴ x 3 x 7)

= (60) x (336)

LCM(60,336) = 1680

consider the 2² x 3 to get the prime number:

= 336 x 12

= 4032

therefore,

LCM(60,4032) = 20160

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xxMikexx [17]

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Step-by-step explanation:

3 1/4 + 4 2/4 = 7 3/4

7 0
3 years ago
A family wants to build a rectangular garden on one side of a barn. If 600 feet of fencing is available to use, then what is the
vovangra [49]

Answer: (A) A=300l-l^{2}

               (B) Length varies between 1 and 150

               (C) Largest area is 22500ft²

Step-by-step explanation: Suppose length is l and width is w.

The rectangular garden has perimeter of 600ft, which is mathematically represented as

2l+2w=600

Area of a rectangle is calculated as

A=lw

Now, we have a system of equations:

2l+2w=600

A=lw

Isolate w, so we have l:

2w=600-2l

w = 300 - l

Substitute in the area equation:

A = l(300 - l)

A = 300l - l²

(A) <u>Function of area in terms of length is given by </u><u>A = 300l - l²</u>

(B) The practical domain for this function is values between 1 and 150.

(C) For the largest area, we need to determine the largest garden possible. For that, we take first derivative of the function:

A' = 300 - 2l

Find the values of l when A'=0:

300 - 2l = 0

2l = 300

l = 150

Replace l in the equation:

w = 300 - 150

w = 150

Now, calculate the largest area:

A = 150*150

A = 22500

<u>The largest area the fence can enclose is </u><u>22500ft².</u>

4 0
3 years ago
Please help and thank you
Black_prince [1.1K]

I'm honestly not really sure, but it has to be either (2,10) or (10,2). I've never seen a question like this...

Answer:

Step-by-step explanation:

8 0
3 years ago
Can you please solve this as soon as you can? Thank you!
lesya692 [45]

Step-by-step explanation:

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hdbdbdddfhcydhgdjvds

5 0
3 years ago
Lee's family had a garden in the shape of a right triangle. the total area of the garden is 16 square feet. if they expand the g
lana [24]
Area of right-angled triangle  is given by;

Area, A = 1/2 *b*h, Where b=base, h=height

Therefore,

A1 = 1/2bh = 16 in^2
A2 = 1/2 (2b)(2h) = 2bh

Ratio of increase = A2/A1 = {2bh}/(1/2bh} = 4 (the area is increased 4 times)
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Therefore,
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5 0
3 years ago
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