What is the value of x in the equation 8x-5(x-1)=20 <br> 1. 25/3<br> 2. 21/4<br> 3. 5<br> 4. 7

Determine how far the vehicle travels in 3 hours.

Karo-lina-s [1.5K]

Answer:

360 miles

Step-by-step explanation:

The unit rate here is (240 miles) / (2 hours), or 120 mph.

In 3 hours the vehicle travels (120 mph)(3 hrs) = 360 miles

8 0

2 years ago

In 1990, California switched from a 6/49 lottery to a 6/53 lottery. Later, the state switched again to a 6/51 lottery. (a) Find

zalisa [80]

Answer:

(a) 9.9321*10^{-11}

(b) 6.0498*10^{-11}

(c) 7.7120^{-11}

(d) 1.6417 times more probable

Step-by-step explanation:

(a) The probability of winning a 6/49 lottery is given by:

$P = \frac{1}{49*48*47*46*45*44} =9.9321*10^{-11}$

(b) The probability of winning a 6/53 lottery is given by:

$P = \frac{1}{53*52*51*50*49*48} =6.0498*10^{-11}$

(c) The probability of winning a 6/51 lottery is given by:

$P = \frac{1}{51*50*49*48*47*46} =7.7120^{-11}$

(d) The ratio between the probabilities of winning the 6/49 lottery and winning the 6/53 lottery is:

$r=\frac{9.9321*10^{-11}}{6.0498^{-11}}\\r=1.6417$

It is 1.6417 times more probable.

8 0

3 years ago

Laylah as already spent 3 minutes on the phone,and she expects to spend 1 more minute with every phone call she routes.If she ro

GuDViN [60]

Answer:

Step-by-step explanation:

Let x represent the number of phone call that she routes.

Laylah has already spent 3 minutes on the phone and she expects to spend 1 more minute with every phone call she routes. This means that if she routes x phone calls, the total number of time that Layla would have spent on the phone is

3 + x

If she routes 23 phone calls, the total time that Layla would have spent on the phone in total is

3 + 23 = 26 minutes

7 0

2 years ago

Six subtracted from a number equals 60.

Rama09 [41]

Answer:

66

Step-by-step explanation:

Is is wanting you to find the missing number, which is "x".

An equation for this is x-6=60

The is only one number that can be x.

So, I added 6 and 60, I got 66.

Than I subtracted 66 and 6, and got 60.

I know that 66 is the correct answer.

5 0

2 years ago

Read 2 more answers

How many pages would same have finished in 126 minutes

Sedaia [141]

Answer:

Sam will finish 42 pages in 126 minutes.

Step-by-step explanation:

Number of pages read by Sam = 6

Time taken to read these pages = 18 minutes

Rate at which Sam is reading the pages of the book = $\frac{\text{Number of pages read}}{\text{Time taken to read these pages}}$

= $\frac{6}{18}$

= $\frac{1}{3}$ pages per minute

Number of pages read in 126 minutes = Rate of reading × Time

= $\frac{1}{3}\times 126$

= 42 pages

Therefore, Sam will finish 42 pages in 126 minutes.

3 0

3 years ago

What is the value of x in the equation 8x-5(x-1)=20 1. 25/3 2. 21/4 3. 5 4. 7