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3 years ago

The GCD(a, b) = 6, the LCM(a, b)=180. Find the least possible value of a+b.

1 answer:

5 0

This is the concept of numbers, given that the G.C.D two numbers (a,b)=6 and the L.C.M (a,b)=180, to find the possible number we do as follows;
L.C.M =a*b=180
since 6 is a multiple of a and b, then the numbers could be:
180/6
=30
hence these numbers could be (6,30)

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A mouse is traveling at a rate of 100 feet per hour. One half hour later, a snake smells the

Arlecino [84]

Let, snake catches the mouse in t hours. Till then mouse is travelling from

( t + 1.5 ) hours.

Distance, travelled by mouse in t hours is, $d = 100(t+ 1.5)$ .

To catch the mouse snake had to travel the same distance d in t hours.

So,

$200t = 100( t + 1.5 )\\\\2t = t + 1.5\\\\t = 1.5 \ hours$

Therefore, snake will catch mouse in 1.5 hours.

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3 years ago

Use the information in the diagram to find the length of segment AD. Round your answer to the nearest hundredth.

Lana71 [14]

Based on the lengths of the given triangles and the length of segment BD, the length of segment AD is 22.20.

<h3>What is the length of segment AD?</h3>

The triangle ABC is a right angled triangle with segment AB being the hypothenuse.

We can therefore find this length using the Pythagoras Rule:

Hypothenuse ² = a² + b²

Hypothenuse ² = 28.6² + 23.2²

Hypothenuse ² = 1,356.20

Hypothenuse = √1,356.20

= 36.83

Length of AD:
= AB - BD

= 36.83 - 14.60

= 22.2

Find out more on the Pythagorean theorem at brainly.com/question/343682.

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7 0

2 years ago

Add the two equations, 0.75x+1.5y=40 and −1.5x−1.5y=−60 , to find the value of x .

sergij07 [2.7K]

The value of x in the equation is 26.7

<h3>How to solve an equation?</h3>

0.75x + 1.5y = 40

−1.5x − 1.5y = −60

add both equation to eliminate y .

Therefore,

−1.5x + 0.75x = -0.75x

1.5y + (- 1.5y) = 0

40 + (-60) = -20

Hence,

-0.75x = - 20

divide both sides by -0.75

-0.75x / -0/75 = - 20 / -0.75

x = - 20 / -0.75

x = 26.6666666667

x = 26.7

learn more on equation here: brainly.com/question/7234676

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1 year ago

The rubber playground mulch is sold in packages that cover 300 square feet each. what expression represents the number of packag

tino4ka555 [31]

The expression represents the number of packages of mulch that will be needed to cover both rounded ends is 600/x

<h3>How to determine the expression represents the number of packages of mulch that will be needed to cover both rounded ends?</h3>

The given parameters are:

Area covered = 300 square feet

Number of ends = 2

So, the total surface area is:

Total surface area = Area covered * Number of ends

This gives

Total surface area = 300 * 2

Total surface area = 600 square feet

Let the area covered by each package of mulch be x.

So, the number of mulch is

Number = Area covered/area covered by each

This gives

Number = 600/x

Hence, the expression represents the number of packages of mulch that will be needed to cover both rounded ends is 600/x