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marissa [1.9K]
3 years ago
7

A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B

in 308 seconds and c in 198 seconds, all starting at the same point. After what time will they again at the starting point ?A. 36 minutes 22 secondsB. 46 minutes 22 secondsC. 36 minutes 12 secondsD. 46 minutes 12 seconds
Mathematics
1 answer:
grin007 [14]3 years ago
5 0

Answer:

D. 46 minutes 12 seconds

Step-by-step explanation:

To find the answer, we need to calculate the least common multiple of 252,308 and 198

252=2^{2}×3^{2}×7

308=2^{2}×7×11

198=2×3^{2}×11

Then <em>least common multiple</em> is

2^{2}×3^{2}×7×11=2772 seconds

2772 = 46×60 + 12

Therefore 2772 secondsis equal to 46 minutes 12 seconds.

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I am a 2nd grader i need to know 120/1234x1234x70x0x90x100x12x13x34
maxonik [38]
Anything multiplied by 0 =0
So what is left is 90x100x12x13x34 which is=47,736,000
7 0
3 years ago
There are 27 students in Ms. Langley's
Yuliya22 [10]

Answer:

405 Problems

Step-by-step explanation:

  • One student in class has 15 problems.
  • There are 27 students in the class.

Let's <u>multiply</u> 15 by 27.

15*27=405

<em>In all, there would be 405 problems assigned to the whole class.</em>

8 0
3 years ago
Dominic is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcom
oksian1 [2.3K]

Answer:

If he spins a spinner with 5 equal sections they have equally likely probability of 20%

If he rolls a fair die in the shape of pyramid with 4 sides each side has probability of 25%

If he rolls a fair die in the shape of cube with 6 sides each side has probability of 16.7

Total number of outcomes = 5 * 6 * 4 = 120

7 0
2 years ago
A barista averages making 16 coffees per hour. At this rate, how many hours will it take until she’s made 1,200 coffees?
nignag [31]

Answer:

75 hours

Step-by-step explanation:

16 times x=1200 or

16x=1200

divide both sides by 16

1200/16

so we simplify 1200/16 by factoring out the ones (4/8=1/2 times 4/4 since 4/4=1)

1200=3*2*2*2*2*5*5

16=2*2*2*2*1

so we notice that there are four 2's in both so those are the 'ones' so cross them off and get

3*5*5/1 or 75/1 or 75 hours

5 0
3 years ago
Which equation represents a proportional relationship? A. y = x + 1 3 y=x+13 B. y = 1 − 1 3 x y=1-13x C. y = 3 x + 1 3 y=3x+13 D
34kurt

Answer:

Option D. y=\frac{1}{3}x

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

<u><em>Verify each case</em></u>

case A) we have

y=x+\frac{1}{3}

Remember that

the line must pass through the origin

so

For x=0, y=0

In this case

For x=0

y=0+\frac{1}{3}=\frac{1}{3}

so

The line not passes through the origin

therefore

The equation A not represent a proportional relationship

case B) we have

y=1-\frac{1}{3}x

Remember that

the line must pass through the origin

so

For x=0, y=0

In this case

For x=0

y=1-\frac{1}{3}(0)=1

so

The line not passes through the origin

therefore

The equation B not represent a proportional relationship

case C) we have

y=3x+\frac{1}{3}

Remember that

the line must pass through the origin

so

For x=0, y=0

In this case

For x=0

y=3(0)+\frac{1}{3}=\frac{1}{3}

so

The line not passes through the origin

therefore

The equation C not represent a proportional relationship

case D) we have

y=\frac{1}{3}x

Remember that

the line must pass through the origin

so

For x=0, y=0

In this case

For x=0

y=\frac{1}{3}(0)=0

so

The line passes through the origin

therefore

The equation D represent a proportional relationship

3 0
3 years ago
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