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dlinn [17]
2 years ago
13

Two old rsm students were standing twenty feet apart when they spotted mrs. rifkin. if they immediately run in opposite directio

ns with speeds of 180 feet per minute and 120 feet per minute respectively, how many minutes will pass before they are 2,420 feet apart?
Mathematics
2 answers:
harina [27]2 years ago
7 0

8 minutes  would pass before they are 2,420 feet part

  • Let x represent the speed of the first student, X = 180ft/min
  • And Y represent the speed of the second student, Y = 120ft/min
  • The distance between the two students = 2,420 – 20 = 2400
<h2>Further Explanation</h2>

Since the two students are moving in the opposite direction, then the relative speed will be the sum of their speed. This can be expressed as:

Relative speed = speed of student X + the speed of student Y

Relative speed = 120 + 180  

= 300ft/min

Recall the distance between the two students is 2,400  ,

To determine the time that would pass before they are 2,420 feet apart, then we have to use the formula to calculate time, which is:

Time = distance / time

= \frac{2400}{300}

=  8minutes

Thus, 8 minutes  would pass before they are 2,420 feet part.

LEARN MORE:

  • If they immediately ran in opposite directions with speeds of 180 feet per minute brainly.com/question/10378018
  • Two RSM students are standing 20ft apart and spot Mrs. Rifkin brainly.com/question/13074188

KEYWORDS:

  • distance
  • speed
  • time
  • 120 feet per minutes
  • 180 feet per minutes
Black_prince [1.1K]2 years ago
3 0
Speed of student A is 180 ft/min
Speed of student B is 120 ft/min
Relative speed=(120+180)=300 ft/min
Distance between them is 2420 ft
Time taken for them to meet will be:
time=distance/speed
=(2420-20)/300
=8 min


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leva [86]

Answer:

Step-by-step explanation

let's use g for golf and b for batting cages

So let's start with Sylvester

he plays 5 rounds of mini golf so 5g

and he takes 4 turns in the batting cages so 4b

and he pays 60 dollars for this

SO his equation is 5g+4b=60

Now onto Lin

3g for 3 rounds of golf

6b for 6 turns in the batting cages

He pays 45 dollars

SO his equation is 3g+6b=45

Both equations:

5g+4b=60

3g+6b=45

Now you need to cancel out one variable so you can multiply the first equation by 3 and the second one by -5

15g+12b=120

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Now the g will cancel out when you add both equations

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2 years ago
Holly throws a 12-sided number solid with faces labeled 1 through 12. What is the probability that Holly will roll a number grea
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Step-by-step explanation:

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2 years ago
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A snowboarder leaves an 8-foot-tall ramp with an upward velocity of 28 feet per second. The function h   16t 2  28t 8 gives
mr_godi [17]

The complete question is;

A snowboarder leaves an 8-foot-tall ramp with an upward velocity of 28 feet per second. The function h = -16t² + 28t + 8 gives the height h (in feet) of the snowboarder after t seconds. The snowboarder earns 1 point per foot of the maximum height reached, 5 points per second in the air, and 25 points for a perfect landing. With a perfect landing, how many total points does the snowboarder receive?

Answer:

Total points earned with a perfect landing = 111 points

Step-by-step explanation:

First of all, let's find the maximum height of the given parabolic function h = -16t² + 28t + 8

h_max = c - (b²/4a)

where: a = -16, b = 28, c = 8

h_max = 8² - 28²/(4*(-16))

h_max = 64 + 784/64

h max = 76.25 ft ≈ 76 ft

The question says that the snowboarder earns 1 point per foot of the maximum height reached.

Thus, the points from the maximum height reached are 76 points

Now, let's find the maximum time in air by solving the equation for h = 0 Thus;

-16t² + 28t +8 = 0

Using quadratic formula,

t = [-28 ± √(28² - (4*-16*8))]/(2*-16)

t = 2 or -0.25

We'll use 2 as we are looking for maximum time.

The question says at maximum time, it's 5 points for each second in the air,

thus, points for seconds in air = 5 × 2 = 10 points

We are told 25 points for perfect landing.

Thus,

Total points earned with a perfect landing = 76 + 10 + 25 = 111 points

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2 years ago
Davi has 75 flower seeds. He wants to plant the seeds in pots so that every seed is planted, and every pot has
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Answer:

15 pots

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Maru [420]

Answer:

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Step-by-step explanation:

Let <em>X</em> = number of heads.

The probability that a head occurs in a toss of a coin is, <em>p</em> = 0.50.

The coin was tossed <em>n</em> = 100 times.

A random toss's result is independent of the other tosses.

The random variable <em>X</em> follows a Binomial distribution with parameters n = 100 and <em>p</em> = 0.50.

But the sample selected is too large and the probability of success is 0.50.

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(a)

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P(0.30

                              =P(-4

Thus, the probability that proportion of heads is between 0.30 and 0.70 is 1.

(b)

Compute the probability that proportion of heads is between 0.40 and 0.65 as follows:

P(0.40

                              =P(-2

Thus, the probability that proportion of heads is between 0.40 and 0.65 is 0.9759.

6 0
2 years ago
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