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Mazyrski [523]
4 years ago
7

Jim is entering kennywood with 5 of his friends. At the gate they must go through a turnstile one at a time. How many ways can J

im and his friends go through the turnstile
Mathematics
1 answer:
salantis [7]4 years ago
3 0

Answer:

6 ways

Step-by-step explanation:

The total number of people we have entering Kennywood is 6, since it’s Jim with 5 of his friends.

Now, we can only have movement through the game one at a time

The number of ways they can move through the gate one at a time is 6C1 ways

and that is mathematically;

if we are to select a number of r items from a total of n, the number of combinations or ways is;

nCr = n!/(n-r)!r!

Applying these to the problem at hand, we have

6!/(6-1)!1! = 6!/(5!)(1!) = (6 * 5!)/5! = 6 ways

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Which equation represents the horizontal line passing through (5, 3)?
Viktor [21]

Step-by-step explanation:

General equation for horizontal line: y = a

Since the point (5, 3) has y-value 3,

the equation of the horizontal line is y = 3.

7 0
3 years ago
Does the following infinite series converge or diverge? 1/3+2/9+4/27+8/81
Norma-Jean [14]

Answer:

converge

Step-by-step explanation:

The ratio that you multiply by to get the next term is 2/3, which is less than 1, so the geometric series converges by the Geometric Series Test.

8 0
3 years ago
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Solve using square roots 3x^2+25=73
seropon [69]
Heya !

Given expression -

3 {x}^{2} + 25 = 73

Subtracting 25 both sides ,

3 {x}^{2} + 25 - 25 = 73 - 25 \\ \\ 3 {x}^{2} = 48

Dividing by 3 on both sides ,

\frac{3 {x}^{2} }{3} = \frac{48}{3} \\ \\ {x}^{2} = 16

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4 0
3 years ago
A 15 foot flagpole casts an 11 foot shadow. At the exact same time a 28 foot tree casts a shadow. Which proportion would correct
marishachu [46]
The longer an object, the longer the shadow they cast at a given time of the day and vice versa. This is called direct proportionality. At the same time,

If 15 foot flagpole ---- casts 11 foot shandow
    28 foot tree -------- casts ?? foot shadow

The proportion would therefore be:

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8 0
3 years ago
If RS = 17, ST = x + 6, and RT = 3x - 5, What is ST.
tigry1 [53]

Answer:

ST = 20

Step-by-step explanation:

Line segment RS and segment ST must add up to line segment RT

Step 1: Define

RS = 17

ST = x + 6

RT = 3x - 5

Step 2: Set up equation

mRS + mST = mRT

17 + x + 6 = 3x - 5

Step 3: Solve for <em>x</em>

x + 23 = 3x - 5

23 = 2x - 5

28 = 2x

x = 14

Step 3: Find mST

ST = x + 6

ST = 14 + 6

ST = 20

3 0
3 years ago
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