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aliina [53]
2 years ago
7

There were 239 people at a Travis Scott concert. Admission to the drive-in concert was $15 for adults and $5.50 for children. Th

e total cost was $2758.50.
Mathematics
1 answer:
Tpy6a [65]2 years ago
6 0

Answer:

{x + y= 239

{15x + 5.50y = 2758.50

Step-by-step explanation:

x = adults    y = children and the total amount of people is 239.

$15 for adults and $5.50 for children and the total cost equals $2758.50.

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√2·3^√2

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a street light is at the top of a 18 ft tall pole. a woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a s
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The most appropriate choice for similarity of triangles will be given by -

Speed of tip of the shadow of woman  = 6 ft/s

What are similar triangles?

Two triangles are said to be similar, if the corrosponding angles of the triangles are same and the corrosponding sides of the triangles are in the same ratio.

Here,

The diagram has been attached here

Let the distance of woman from the pole be x ft and the distance of tip of the shadow to the pole be y ft.

Height of street light = 18 ft

Height of woman = 6ft

The two triangles are similar [As height of woman is parallel to the height of pole]

\frac{y - x}{6}=\frac{y}{18}\\18y - 18x = 6y\\18y - 6y = 18x\\12y = 18x\\y = \frac{18}{12}x\\y = \frac{3}{2}x\\

To find the speed, we have to differentiate both sides with respect to time 't'

\frac{dy}{dt} =\frac{3}{2}\frac{dx}{dt}\\\frac{dy}{dt}=\frac{3}{2} \times 4\\\frac{dy}{dt} = 6

Speed of tip of her shadow = 6 ft

To learn more about similarity of triangles, refer to the link-

brainly.com/question/14285697

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suppose the people have weights that are normally distributed with a mean of 177 lb and a standard deviation of 26 lb.

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We find z-score using given mean and standard deviation

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Probability (z>-0.11538) = 1 - 0.4562 (use normal distribution table)

= 0.5438

P(weight will be greater than 174 lb) = 0.5438

8 0
3 years ago
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