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astra-53 [7]
3 years ago
7

A set of marbles can be divided in equal shares among $2$, $3$, $4$, $5$, or $6$ children with no marbles left over. What is the

least number of marbles that the set could have?
Mathematics
1 answer:
pashok25 [27]3 years ago
4 0

Answer:

  60

Step-by-step explanation:

The least common multiple of 2, 3, 4, 5, and 6 is 3×4×5 = 60.

__

2, 3, 5 are primes, there will be at least one factor of each of those in number you're looking for.

4 = 2², so there must be 2 factors of 2 in the number you're looking for.

6 = 2×3, so is already covered by the factors we have listed so far.

  LCM = 2²×3×5 = 60

The least number divisible by numbers 2 through 6 is 60.

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Find the diameter of a circle with a circumference of 443 feet. Use 3.14 for pi.
marishachu [46]

Answer:

\huge\boxed{\sf d = 141\ feet}

Step-by-step explanation:

<u>Given Data:</u>

Circumference = C = 443 ft

<u>Required:</u>

Diameter = d = ?

<u>Formula:</u>

d = C / π

<u>Solution:</u>

d = 443 / 3.14

d = 141.0 feet

d = 141 feet

\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>
3 0
2 years ago
Read 2 more answers
What is the value of s in the equation 3r = 10 + 5s, when r = 10?
kupik [55]
S = 4

3(10) = 10 + 5s
30 = 10 + 5s
30 - 10 = 5s
20 = 5s
20 ÷ 5 = s
4 = s
4 0
3 years ago
Read 2 more answers
CAN SOMEONE PLEASE HELP ME PLEASE PLEASE PLEASE
Goshia [24]

Answer:

628

Step-by-step explanation:

Deposit means money is going into the bank so add 129 onto 499

(b) writing a cheque means money is coming out of the bank so subtract 24 from your previous answer.

    628 - 24 = 604

(c) again, this money is coming out so take 151 away from 604

(d) round 604 to the nearest hundred

     (it's between 600 and 610 but which is it closest to?)

3 0
3 years ago
The polygons are similar. The area of one polygon is given. Find the area of the other polygon.
OleMash [197]

Answer:

Hello! answer: area is 6 cm2

Step-by-step explanation:

Triangle area formula: base × height ÷ 2 or base × height × 1/2 so...

12 × 16 = 192 192 ÷ 2 = 96

12 ÷ 4 = 3

16 ÷ 4 = 4

3 × 4 = 12 12 ÷ 2 = 6 therefore the area is 6 hope that helps!

5 0
3 years ago
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Ship A receives a distress signal from the southwest, and ship B receives a distress from the same vessel from the north. At wha
Fiesta28 [93]

I've attached an image showing the coordinates of Ship A and Ship B.

Answer:

distressed vessel is located at (1, 1.5)

Step-by-step explanation:

From the image attached, we can see that;

Coordinate of ship A is (3, 4)

Coordinate of ship B is (1, 1)

Now, we are told that Ship A receives a distress signal from the southwest, and ship B receives a distress from the same vessel from the north.

This means that the distressed ship is somewhere in between ship A & B.

To solve this, we will extend the arrow line from Ship A in that same SW direction and we will do the same for ship B in the same North direction. Their point of intersection is where the distressed ship is located.

Now, if we do that, we will see that they will intersect at the point; (1, 1.5)

Thus,distressed vessel is located at (1, 1.5)

5 0
3 years ago
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