Two buses leave towns 948 miles apart at the same time and travel toward each other. One bus travels 10 mi h slower than the other. If they meet in 6 hours, what is the rate of each bus?

Answers

Answer 1

Answer:

Answer:

Use a d=rt table, find x, and plug it in for the part you need. 74 & 84

Step-by-step explanation:

Create a chart for the 2 buses that shows the distance, rate, & time. Calculate the distance by multiplying the rate and time.

x is the rate of speed of the faster bus

Bus 1: D (6x) = r (x) × t (6 hrs)

Bus 2: D (6x-60) = r (x-10) × t (6 hrs)

We also know the total distance traveled was 948 miles. So 6x-60+6x=948.

Then we combine like terms.

12x-60=948

Now isolate the x term by adding 60 to both sides.

12x=1008

Divide both sides by 12 to isolate the x.

x=84

Finally, plug the x back in to the rates to determine the rate of the buses.

Bus 1 - 84 mph

Bus 2 - 74 mph

Related Questions

The year is 1714. You are in a dark Spanish prison. You wake up to find yourself tied to a table with ropes. In the darkness you hear a rhythmic swishing sound-something going back and forth, back and forth. Eventually your eyes get accustomed to the dark and see that the source of the sound is a sharp bade at the end of a long pendulum that’s swinging back and forth over your body. With each sweep it gets a little lower-and a little closer to your chest. You note how long it takes between those swishes: exactly 7 seconds. And with each swish, the blade drops 1 inch lower. The last passing was only 15 inches above your chest. It won’t be much longer before the blade slices right through you. Should you scream for help? That would probably just summon a guard, who would run through with a sword then and there. But wait! You see a rat by your arms and he’s gnawing at the rope that binds you to the table. In fact, he has only 1 minute to go before he gnaws through it all the way. When he does that, you can get free! Will the rat chew through the rope before or after the blade has slashed through your chest? How much time do you have exactly?
Simplify the expression (x^25)^-6/(x^-3)^48The power of x in the simplified expression is-2-6-23-26
Can someone help me with this ? asap !
(1 pt) What is the measure of ∠Z? A. 57° B. 65° C. 94° D. 115°
If x = -5, then |x - 7| = A: -12 B: 2 C: 12 D: -2

Samuel currently has an account balance of $3439.96. He open the account five years ago with the deposit of $3104.31. If the interest compounded quarterly what is the interest rate on the account?

Answers

Answer:

Step-by-step explanation:

You did leave out a 4 under the r: 1.1063 = (1+r/4)^20

So you'd do both sides to the 1/20 power since 20 • 1/20 = 1

(1.1063) ^ (1/20) = 1 + r/4

Then subtract 1, and multiply by 4

4•[1.1063 ^ (1/20) - 1) = r

Answer:

Step-by-step explanation:

$54.67

It has two what y equals so idk which one to solve or plug in(...I'm running out of points...)y=-3x+6
y=5x+38

Answers

Just plug in one of the other (doesn't matter which one) so it will look like
-3x+6=5x+38
or
5x+38=-3x+6 (it's the same thing as the first one)
Then you solve for x and you substitute that value so you can get y.
Hope this helped :)

you will equalize the two equations of y so
-3x+6=5x+38
5x+3x=38-6
8x=32
x=4
then you will substitute in the equation of y

You work at a sandwich shop. The shop's special is a sandwich with one cheese, one vegetable, and one meat for $5.00. There are 4 cheeses, 6 vegetables, and 5 meats to choose from. You also get your choice of 3 kinds of bread. How many different sandwiches can you make?

Answers

you can make 360 different sandwiches by multiplying 4 by 5 by 6 by 3

Which is an equation of the line parallel to - 2x + y = 6 that contains thepoint (0, 2)?

A: -x – 2y = -4
B: -x – 2y = -2
C: -2x+y= -4
D: - 2x + y = 2

Answers

Answer: D. - 2x + y = 2

Step-by-step explanation:

The equation given is -2x + y = 6

Let us re- write it in slope - intercept form , that is we will make y the subject of the formula.

y = 2x + 6

Two lines are said to be parallel if they have the same slope , the slope of the first equation of line given is 2 , this means the slope of the equation of the line parallel to it is also 2.

Using the formula $y -y_(1)$ = $m(x-x_(1))$ to calculate the equation , we have

y - 2 = 2 ( x - 0 )

y - 2 = 2x

Therefore :

-2x + y = 2 is the equation

A

If you find the slope by using the opposite reciprocal than you may plug in the y and x values in order to find the value of b

How many thirds are in 3 2/3

Answers

3= 3 thirds + 3 thirds + 3 thirds = 9 thirds
2/3 = 2 thirds

9 + 2 = 11 thirds. (11/3)

Maria's math test had 25 questions she got 84% correct how many did she get wrong

Answers

Maria got 4 answers wrong as per linear equation.

What is a linear equation?

A linear equation is an equation that has a variable with the highest power of 1. A linear equation may consists of multiple variable. However, the highest power of any variable will be 1.

Given, Maria's math test had 25 questions.

She got 84% correct.

Therefore, she got wrong

= (100 - 84)%

= 16%

Now, the number of questions she got wrong is

= 25 × 16%

= 4

Learn more about linear equation here: brainly.com/question/10047053

SPJ2

$(x)/(25)=84% \n (x)/(25)=.84 \n 25( (x)/(25))=(.84)(25) \n x=21$
Maria got 21 correct.

Number wrong = Total - Number right
y = 25 - 21
y = 4

Maria got 4 wrong.

Hope this helps!

Other Questions

2x - 5y=-15can someone walk me through this?

I don't understand this, and I need the answer, and I don't even know how to do it...its on a test tomorrow

What is 1/4 as a whole number?

F(x, y) = 4x + 7y - 6, please find the value of f(5,-5).