Todd and Jason both solved an equation and ended up with this final line in their work: -2x ≠ x.

A company uses two vans to transport workers from a free parking lot to the workplace between 7;00 and 9;00 one van has 5 more s

Dimas [21]

There are thirty seats on the small van.

5 0

3 years ago

A person takes a trip, driving with a constant peed of 89.5 km/h, except for a 22.0-min rest stop. If the peron's average speed

Stolb23 [73]

Answer:

a) The person traveled 2.83 hours.

b) The person travels 220.17 kilometers.

Step-by-step explanation:

We have that the speed is the distance divided by the time. Mathematically, that is

$s = \frac{d}{t}$

(a) how much time is spent on the trip and

The peron's average speed is 77.8 km/h, which means that $s = 77.8$

The person distance traveled is:

22 min is 22/60 = 0.37h.

So for the time t1, the person traveled at a speed of 89.5 km/h. Which has a distance of 89.5*t1.

For 0.37h, the person was at a stop, so she did not travel. This means that the total distance is

$d = 89.5t1 + 0 = 89.5t1$

The total time is the time traveling t and the stoppage time 0.37. So

$t = t1 + 0.37$

We want to find t1, which is the time that the person was driving.

So

$s = \frac{d}{t}$

$77.8 = \frac{89.5t1}{t1 + 0.37}$

$77.8t1 + 77.8*0.37 = 89.5t1$

$11.7t1 = 28.786$

$t1 = \frac{28.786}{11.7}$

$t1 = 2.46$

The total time is

$t = t1 + 0.37 = 2.46 + 0.37 = 2.83$

The person traveled for 2.83 hours.

(b) how far does the person travel?

The person traveled 2.46 hours at an average speed of 77.8 km/h. So

$s = \frac{d}{t}$

$77.8 = \frac{d}{2.83}$

$d = 77.8*2.83 = 220.17$

The person travels 220.17 kilometers.

8 0

4 years ago

What is 25% of<br> 100?

lbvjy [14]

Answer:

25

Step-by-step explanation:

0.25 x 100 = 25

6 0

4 years ago

Read 2 more answers

Mike paid $13 for three books Diego bought 12 books price at the same rate how much did Diego pay for 12 bucks explain your reas

tensa zangetsu [6.8K]

Well 13 /3 = 4.3333, that sure the cost for one book and the rate. so if he bought 12 books at the same rate, then its 12*4.33333. which equals 52 dollars

4 0

3 years ago

Read 2 more answers

10. What is the value of x in the solution to the system of equations?

RUDIKE [14]

Solve for x in first equation:

x-2y=7

Add “2y” to both sides

x=2y+7

Put this in to second equation:

3(2y+7)+2y=21

Solve for y:

Distribute the 3 into the ()

6y+21+2y=21

Combine the like y terms

8y+21=21

Subtract 21 from both sides

8y=0

Divide by 8 on both sides

y=0

Put this into the first solved equation:

x=2(0)+7

Solve for x:

Multiple 2(0)

x=0+7

Add 0 and 7

x=7

So the value of x is positive 7.

3 0

3 years ago