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Maksim231197 [3]
3 years ago
7

helpppp it’s also not C

Mathematics
1 answer:
svlad2 [7]3 years ago
6 0
Correct answer in this scenario would be D
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Security A rounds every 2 minutes and 20 seconds in the gate 1. Security B rounds every 1 minute and 40 seconds in the gate 2. I
Elden [556K]

Answer:

Time = 11\frac{2}{3}\ min

Step-by-step explanation:

Given

Security\ A = 2\ mins, 20\ secs

Security\ B = 1\ mins, 40\ secs

Required

After how many minutes, will they round together

First, convert the given time to minutes

Security\ A = 2\ mins, 20\ secs

Security\ A = 2\ mins+ 20\ secs

Security\ A = 2\ mins+ \frac{20}{60}\ min

Security\ A = 2\ mins+ \frac{1}{3}\ min

Security\ A = 2\frac{1}{3}\ min

Security\ B = 1\ mins, 40\ secs

Security\ B = 1\ mins+ 40\ secs

Security\ B = 1\ mins+ \frac{40}{60}\ min

Security\ B = 1\frac{2}{3}\ min

So, we have:

Security\ A = 2\frac{1}{3}\ min

Security\ B = 1\frac{2}{3}\ min

List out the multiples of the time of both security personnel take round.

Security\ A = 2\frac{1}{3}min,\ 4\frac{2}{3}min,\ 7min,\ 9\frac{1}{3}min,\ 11\frac{2}{3}min...

Security\ B = 1\frac{2}{3}min,\ 3\frac{1}{3}min,\ 5min,\ 6\frac{2}{3}min,\ 8\frac{1}{3}min,\ 10min\ ,11\frac{2}{3}min,...

In the above lists, the common time is:

Time = 11\frac{2}{3}\ min

<em>This implies that they go on round after </em>11\frac{2}{3}\ min<em></em>

4 0
3 years ago
Name the types of angles shown
Karo-lina-s [1.5K]

Answer:

B) supplementary angles

C) straight angle

Step-by-step explanation:

There is a straight line, and when an angle is a straight it means its 180 degrees which makes it a supplementary angle and a straight angle.

There are no angles that are 90 degrees so its not complementary or a right angle.

8 0
2 years ago
A line includes the points (1, 9) and (0, 5). What is it’s equation in the slope-intercept form?
scoundrel [369]

Equation is y = 4x + 5

Step-by-step explanation:

  • Step 1: Find the slope of the line by m = (y2 - y1)/(x2 - x1). Here y2 = 5, y1 = 9, x1 = 1 and x2 = 0

⇒ m = (5 - 9)/(0 - 1) = 4

  • Step 2: Find y-intercept, b. Since the line passes through (0, 5) b = 5
  • Step 3: Write the equation in slope-intercept form

⇒ y = 4x + 5

5 0
3 years ago
a sixteen sided number cube has the numbers 1 through 16 on each face. each face is equally likely to show after a roll. what is
solong [7]
The possibilities of an even number are  2,  4,  6,  8,  10,  12,  14, and  16 .

The possibilities of an odd prime are  3,  5,  7,  11,  and  13.

8 even numbers + 5 odd primes  =  13 possibilities of success

                                                 out of 16 total possible outcomes.

Probability of success  =  13/16 =   0.8125  =  81.25% .

Rounded to the nearest thousandth, it's 0.813 .
3 0
3 years ago
Which ordered pair is a solution to the system of equations?
melisa1 [442]

Answer:

(-2, -3)

Step-by-step explanation:

We assume your system of equations is ...

  • 2x - y = -1
  • 2x -4y = 8

You can subtract the second equation from the first to get

... (2x -y) -(2x -4y) = (-1) -(8)

... 3y = -9 . . . . . collect terms

... y = -3 . . . . . . divide by 3 . . . . this is sufficient to identify the correct answer

Substituting into the first equation, we have ...

... 2x -(-3) = -1

... 2x = -4 . . . . . add -3

... x = -2 . . . . . . .divide by 2

Now, we're sure the answer is (x, y) = (-2, -3).

3 0
2 years ago
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