Ask question

Ask question

All categories

3 years ago

15

A person drives a car at a constant speed for 4 hours and 30 minutes, traveling 288 miles. Find the speed of the car in miles pe

r hour.

1 answer:

JulsSmile [24]3 years ago

8 0

The speed of the car is 64 mph

You might be interested in

4 cos²x – 1=0<br><br> What is the solution?

andreev551 [17]

Answer:

$x=\frac{\pi }{3}+2\pi n, n\in \mathbb{Z}$

$\:x=\frac{5\pi }{3}+2\pi n, n \in \mathbb{Z}$

$x=\frac{2\pi }{3}+2\pi n, n\in \mathbb{Z}$

$\:x=\frac{4\pi }{3}+2\pi n, n \in \mathbb{Z}$

or

$x=\frac{\pi}{3}+\pi n, n \in \mathbb{Z}$

$x=\frac{2\pi }{3}+\pi n, n\in \mathbb{Z}$

Step-by-step explanation:

$4\text{cos}^2(x)-1=0\\4\text{cos}^2(x)=1\\$

$cos(x)=\pm\sqrt{\frac{1}{4} }$

$cos(x)=\pm\frac{1}{2}$

So, when cos(x) is equal to

$\frac{1}{2} \text{ and } -\frac{1}{2}$ ?

For

$cos(x)=\frac{1}{2}$

We are talking about x = 60º and x = 300º, Quadrant I and IV, respectively. In radians:

$x=\frac{\pi }{3}+2\pi n, n\in \mathbb{Z}$

$\:x=\frac{5\pi }{3}+2\pi n, n \in \mathbb{Z}$

or

$x=\frac{\pi}{3}+\pi n, n \in \mathbb{Z}$

For

$cos(x)=-\frac{1}{2}$

We are talking about x = 120º and x = 240º, Quadrant II and III, respectively. In radians:

$x=\frac{2\pi }{3}+2\pi n, n\in \mathbb{Z}$

$\:x=\frac{4\pi }{3}+2\pi n, n \in \mathbb{Z}$

or

$x=\frac{2\pi }{3}+\pi n, n\in \mathbb{Z}$

6 0

2 years ago

Brandon earns a rebate each month on his meals and movie tickets. He earns $0.50 for each movie ticket and $2 for each meal. Las

AURORKA [14]

Let ticket be x and meal be y

So $0.50 for each movie ticket = 0.50x

$2 for each meal = 2y

He purchased 22 tickets, so x = 22

0.50 * 22 = $ 11

Now the total value is $25 (with both ticket and meal)

total = t

0.50x + 2y = t

you know x = 22 and t = 25

11 + 2y = 25

Part A)

2y = 25 -11

y = 14/2

y = 7

Number of meal is 7

Part B)

(don't know about part B)

0.50x + 2y = 25

0.50(22) + 2(7) = 25

11 + 14 = 25

25 = 25

7 0

2 years ago

If a=2, b-3 and c=5. Thr value of 4a-2b+5c are

inn [45]

(4*2)-(2*-3)+(5*5)= 8-6+25= 27

4 0

2 years ago

What is the answer to 78.2÷7<br>

Lesechka [4]

Answer:

11.1714

Step-by-step explanation:

Just use a calculator! :)

3 0

2 years ago

Read 2 more answers

What is the value of 7x 2squared + 2x when x = 3?

mash [69]

Answer:

Given expression has the value 69

Step-by-step explanation:

Given equation is:

$=7x^2 + 2x$

Now we have to put x = 3

So the equation will become:

$=7(3)^2 + 2(3)$

By simplifying:

As $3^{2} = 9$

and 2*3 = 6

So the above equation will become:

$=7(9 ) + 6\\= 63 + 6\\= 69$

So the value of given expression is 69.

i hope it will help you!

6 0

2 years ago