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Sveta_85 [38]
3 years ago
13

Kalin walls at a streaky rate of 3 2/3 miles per hour. The beach is 4 1/4 miles from his home. How long will it take Kalin to wa

lk from his home to the beach and back to his home?
Mathematics
1 answer:
DENIUS [597]3 years ago
6 0

Answer:

The time it will take Kalin will be 2h 33m

Step-by-step explanation:

First we will transform the numbers to work more comfortable

d = distance

v = velocity

v = 3 2/3 miles per hour = 3.33 mi/h

d = 4 1/4 milles = 4.25 mi

As the time it takes to go to the beach and back asks us, we have to do the distance 2 times

d = 4.25 mi * 2

d = 8.5 mi

To calculate the time it takes, we simply have to divide the distance by the velocity

t = d/v

t = 8.5 (mi) / 3.33(mi/h)

t = 2.55h

if we also want to express the minutes we can divide after the point .55 by 100 and multiply it by 60

(55/100)*60 = 33

t = 2h 33m

The time it will take Kalin will be 2h 33m

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Harlamova29_29 [7]
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bryan has some 3 cent stamps and some 4 cent stamps. what is the least number of stamps he can combine so the value of the stamp
SashulF [63]

Answer:

The least number of stamps required is 9

Step-by-step explanation:

Let the number of 3 cent stamps be x and 4 cent stamps be y

We have

3x+4y=33

The minimum number is obtained when more  4 cent stamps are used

Here y cannot be greater than 8 since \frac{33}{4}

Substitute y=8

3x+4\times 8=33\\\\3x=1\\\\x=\frac{1}{3}

Not possible since x is not a fraction

Substitute y=7

3x+4\times 7=33\\\\3x=5\\\\x=\frac{5}{3}

Not possible since x is not a fraction

Substitute y=6

3x+4\times 6=33\\\\3x=9\\\\x=\frac{9}{3}\\\\=3

Possible

Hence minimum number of stamps is

=x+y\\\\=3+6\\\\=9

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3 years ago
PLEASE HELP URGENT!! I DONT UNDERSTAND THIS AT ALL
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(1,-1)

Step-by-step explanation:

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3 years ago
A restaurant offers a special pizza with any 4 toppings. If the restaurant has 15 topping from which to choose, how many differe
OlgaM077 [116]

Answer: 1,365 possible special pizzas

Step-by-step explanation:

For the first topping, there are 15 possibilities, for the second topping, there are 14 possibilities, for the third topping, there are 13 possibilities, and for the fourth topping, there are 12 possibilities. This is how you find the number of possible ways.

15 * 14 * 13 * 12 = 32,760

Now, you need to divide that by the number of toppings you are allowed to add each time you add a topping.

4 * 3 * 2 * 1 = 24

32,760 / 24 = 1,365

There are 1,365 possible special pizzas

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Find equations of the line that is parallel to the z-axis and passes through the midpoint between the two points (0, −4, 9) and
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Answer: x = -4, y = 0.5, z = 5 +t

Hi!

The line L whose direction is parallel to vector V a passes through point A

is parametrized

P_L = Vt + A

Where t, is a real number, and P_L is a any point on line L.

In this case the direction is that of the z-axis , so V = (0, 0, 1)

A is the midpoint between points B = (0, -4, 9) and C=(-8, 5, 1)

The midpoint is A = (B + C)/2 = (-4, 0.5, 5)

Then the line is:

P_L = (0,0,1) t + (-4, 0.5, 5)

The equations for each coordinate are:

x = -4\\y = 0.5\\z = 5 + t

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3 years ago
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