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ivann1987 [24]
2 years ago
13

the time spent in line to enter a concert varies inversely to the number of gates open. if just 3 gates are open, the wait time

is about 50 minutes. find the wait time if there are 8 gates open.
Mathematics
2 answers:
Doss [256]2 years ago
6 0

Answer:

  • 18.75 min or  18 min 45 sec

Step-by-step explanation:

<u>Inverse variation equation:</u>

  • y = k / x

<u>We have:</u>

  • y = 50 when x = 3

<u>Find the value of k:</u>

  • 50 = k / 3
  • k = 50*3
  • k = 150

<u>The equation becomes:</u>

  • y = 150 / x

<u>Find the value of y, when x = 8:</u>

  • y = 150/8
  • y = 18.75 minutes or 18 min 60*0.75 sec = 18 min 45 sec
kkurt [141]2 years ago
5 0

Answer:

100/3 min

Step-by-step explanation:

Wait time for 3 gates = 50 min

Wait time for 1 gate = 50/3 min

Wait time for 8 gates = 50/3 × 8

=> 25/3 × 4

=> 100/3 min

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ozzi
The correct equation should look something like this:
y= -1x - 2

Consider the equation for a line:
y = mx + b,
Where ‘m’ is the slope
Where ‘b’ is the y-intercept.

From there you can plug in your known values for ‘m’ and ‘b’, and get the equation above. If you are still not convinced, I suggest you graph the function and observe its slope and y-intercept.

Hope this helps!
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Find the slope of the line passing through each of the following pairs of points: a A(a, b) and B(c, d)
SpyIntel [72]

Answer:

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Step-by-step explanation:

4 0
3 years ago
By what least number should 3049200 be divided to get a perfect square?
Sophie [7]

Answer:

7

Step-by-step explanation:

Given the number: 3049200

To determine the least number by which we must divide to obtain a perfect square, we <u>first express the number as a product of its prime factors.</u>

3049200=2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 7 x 11 x 11

=2^4 X 3^2 X 5^2 X 7 X 11^2

If you observe the product in exponent form, <u>only the power of 7 is odd.</u> Every other number is a perfect square.

Therefore, <u>if we divide by 7, the result is a perfect square.</u>

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8 0
3 years ago
Write an equation of a line in slope- intercept form that passes through the point (-2,-1) and has a slope of -1?????
e-lub [12.9K]

You have to use Point Slope Form...

ABOUT POINT SLOPE FORM:

  • y - Y1 = m (x - X1)
  • Y1 & X1 is a point on the line
  • The form allows you to identify the slope & the point on the line

ABOUT PROBLEM:

  • Since -1 is the slope, that means it represents m in the point slope formula
  • -2 represents X1 in the point slope formula
  • -1 represents Y1 in the point slope formula

y - Y1 = m (x - X1)

y - -1 = -1 (x - -2) --- In Point Slope Form


Hope this helps you!!! :)

6 0
3 years ago
The sides of a right-angled triangle are in the ratio 8:15:17. If the perimeter of the triangle is 160 cm, find the area.
fgiga [73]
STEP BY STEP EXPLANATION-
Let us consider ratio values as 8x,15x,17x
Now let’s add these values 8x+15x+17x=40x

Here8x is the height,15xis the base
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So x=160/40
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Now the measurements are 40cm,60cm,68cm
Here 40 is height,60is base
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=1/2 x 40 x 60
=1200 cm square
HOPE THIS HELPS
6 0
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