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4 years ago

A bus travels 36 miles in 45 minutes.

Mathematics

2 answers:

mylen [45]4 years ago

5 0

Answer:

24 miles

Step-by-step explanation:

2/3 of 45 is 30. Divide 45 by 3, and you get 15. Divide 36 by 3, and you get 12. Subtract 15 from 45 and 12 from 30 and you get 24

hope this helped! :)

Anton [14]4 years ago

3 0

My answer is 24 miles
I hope this helps

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The locations in a city are mapped out on a grid, where the origin represents the city center. A traffic helicopter travels due

Elenna [48]

Answer:

Helicopter have traveled 5.55 units of distance approximately if it went directly from one location to the other.

Step-by-step explanation:

We are given the following in the question:

A traffic helicopter travels due north and then due east to get to the location at (-3,4) to the location at (7,13).

The attached image shows the path of helicopter.

Distance Formula:

$(x_1,y_1), (x_2,y_2)\\\\d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$

Distance traveled by helicopter =

$d((-3,4),(-3,13)) + d((-3,13),(7,13))\\\\=\sqrt{(-3+3)^2 + (13-4)^2} + \sqrt{(7+3)^2 + (13-13)^2}\\= 9+10\\= 19 \text{ units}$

If the helicopter goes directly:

$d((-3,4),(7,13))\\\\=\sqrt{(7+3)^2+(13-4)^2}\\\approx 13.45 \text{ units}$

Difference in distances =

$19 - 13.45 = 5.55\text{ units}$

Thus, helicopter have traveled 5.55 units of distance approximately if it went directly from one location to the other.

7 0

4 years ago

What 2x ? = 10<br><br> ❄️❄️❄️❄️❄️

Afina-wow [57]

Answer:

Step-by-step explanation:

divide 10 by 2 and you get 5.

7 0

3 years ago

Read 2 more answers

Factor........................

elena55 [62]

For this case we have a quadratic polynomial given by:

$6x ^ 2-7x-5$

Where:

$a = 6\\b = -7\\c = -5$

We must factor, for this we follow the steps below:

Step 1:

The term of the medium must be rewritten as the sum of two terms, whose sum is -7 and the product is $a.c = 6 * (- 5) = - 30$ :

Then, the term of the medium, fulfilling the two previous conditions, can be written as:

$-10x + 3x$

We check:

$-10 * 3 = -30\\-10 + 3 = -7$

So, we have:

$6x ^ 2-10x + 3x-5$

Step 2:

The maximum common denominator (the largest integer that divides them without leaving residue) of each group is factored

$6x ^ 2-10x + 3x-5\\2x (3x - 5) + 1 * (3x - 5)$

Step 3:

We take common factor $(3x - 5)$ :

$(3x - 5) (2x + 1)$

Thus, the expression $6x^2-7x-5$ can be factored as:

$(3x - 5) (2x + 1)$

Answer:

$(3x - 5) (2x + 1)$

3 0

3 years ago

Jon recently drove to visit his parents who live 270 270 miles away. On his way there his average speed was 24 24 miles per hour

Ber [7]

Answer:

He drove there at 60 mph, and he drove back at 36 mph.

Step-by-step explanation:

one way distance = d = 270 miles

average speed on way back = s

average speed on the way there = s + 24

time driving there = t

time driving back = 12 - t

average speed = distance/time

distance = speed * time

going there:

270 = (s + 24)t

270 = st + 24t

going back

270 = s(12 - t)

270 = 12s - st

We have a system of equations:

270 = st + 24t

270 = 12s - st

Solve the first equation for t.

t(s + 24) = 270

t = 270/(s + 24)

Substitute in the second equation.

270 = 12s - s[270/(s + 24)]

270 = 12s - 270s/(s + 24)

Multiply both sides by s + 24.

270s + 6480 = 12s^2 + 288s - 270s

12s^2 - 252s - 6480 = 0

Divide both sides by 12.

s^2 - 21s - 540 = 0

(s - 36)(s + 15) = 0

s = 36 or s = -15

The average speed cannot be negative, so we discard the solution s = -15.

s = 36

s + 24 = 60

Answer: He drove there at 60 mph, and he drove back at 36 mph.

3 0

3 years ago

4 times a number is 32 less than the square of that number. Find the negative solution.

Korvikt [17]

The answer is -16

Step by step explanation:

the expression of this equation is √4x=-32, so first, we would find the square root of 4, which is 2. so now we have 2x=-32. Next we want to divide 2 from both sides, which gives us our final result: x=-16. So our answer is -16.

5 0

3 years ago