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Alex
1 year ago
8

A turtle and a snail are 300 feet apart when they start moving towards each other. The turtle is moving at a speed of 5 feet per

minute, and the snail is moving at a speed of 1 foot per minute. how fast are they approaching each other?
Mathematics
1 answer:
choli [55]1 year ago
3 0

Answer:

Step-by-step explanation:

velocity of turtle = 5 feet / min

velocity of snail = - 11 feet /  min

By using the formula of relative velcoity

the velocity of turtle with respect to snail is

V' = velocity of turtle - velocity of snail

V' = 5 - (- 11)

V' = 16 feet / min

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Josiah owns a food truck that sells tacos and burritos. He only has
bogdanovich [222]

Answer:

Therefore Josiah must sell 68 or 69 or 70 tacos in order to meet the requirement.

Step-by-step explanation:

Given , Josiah owns a food truck that sells tacos and burritos.

He sells each burritos for $7.50. If 79 burritos were sold.

Then the price of 79 burritos is $(7.50×79) =$592.50

Let x tacos were sold.

He sells each tacos for $5.

Then the price of x tacos is = $(x × 5)=$5x

Also given that Josiah must sell a minimum of $930 worth of tacos and burritos.

Therefore,

5x+592.50≥ 930

⇔5x≥930-592.50

⇔5x≥337.5

⇔x≥67.5

But he only has enough supplies to make 149 tacos or burrito.

He already sold 79 burrito.

So, remain space for tacos is = (149-79) = 70

So,67.5≤x≤70

∴x = 68 or 69 or 70

Therefore Josiah must sell 68 or 69 or 70 tacos in order to meet the requirement.

8 0
1 year ago
At a carnival, an individual can win a prize by choosing a rubber duck from a pond with "Win" written on the underside of the du
boyakko [2]

Step-by-step explanation:

The probability of success = 8/(8 + 17) = 8/25 = 0.32.

Let X be the random variable denoting the number of successes (number of times the individual won a prize) in four picks.

Hence, X ~ Bin(4, 0.32).

Thus, P(X = 1) = 4C_1=(0.32)(1-0.68)^{4-1}=4C_1(0.32)(0.68)^3

3 0
1 year ago
Suppose Paul kicks a soccer ball straight up into the air with an initial velocity of 96 feet per second. The function f(x) = -1
Ludmilka [50]
The zeros are the values of t for which f(t) = 0.
i.e. <span>-16t^2 + 96t = 0
16</span>t^2 - 96t = 16t(t - 6)
16t = 0 or t - 6 = 0
t = 0 or t = 6
Therefore, the zeros are 0, 6

The time taken for the ball to hit the ground is the value of t when f(t) = 0.
i.e. t = 6.
3 0
2 years ago
Ava wants to figure out the average speed she is driving. She starts checking her car’s clock at mile marker 0. It takes her 4 m
VLD [36.1K]
<h2>Answer:</h2>

The average speed of car is:

                 0.75 miles per minutes.

The equation of line is:

                    n=\dfrac{3}{4}t

<h2>Step-by-step solution:</h2>

The table that describes the time and number of  miles marked is given by:

Time       Miles

  0              0

  4               3

  8               6

Clearly we could observe that with the increase in time by every 4   minutes the number of mile increases by 3.

i.e. the average speed is calculated as the ratio of change in miles to the change in time.

Hence,

Average\ Speed=\dfrac{3-0}{4-0}\\\\\\i.e.\\\\\\Average\ Speed=\dfrac{3}{4}=0.75

Hence, the average speed=0.75 miles per minutes.

Also we will find the equation of the lines that related the miles and time by using the two-point formula.

i.e. any line passing through (a,b) and (c,d) is calculated by using the formula:

y-b=\dfrac{d-b}{c-a}\times (x-a)

Here (a,b)=(0,0) and (c,d)=(4,3)

i.e. the equation is given by:

n-0=\dfrac{3-0}{4-0}\times (t-0)\\\\i.e.\\\\n=\dfrac{3}{4}t

6 0
2 years ago
Read 2 more answers
Which table shows a function that is decreasing only over the interval (–1, 1)? A 2-column table with 5 rows. The first column i
slega [8]

Answer:

its A.

Step-by-step explanation:

i just took the test

3 0
2 years ago
Read 2 more answers
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