Find the sum of 6x^2+10x-16x2+10x−1 and -5x^2-2x+1−5x 2−2x+1.

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

At the city Museum child admission is $5.30 and adult admission is $9.30 on Sunday 146 tickets were sold for a total sales of $1

DerKrebs [107]

Answer:

The number of child tickets is 53

And adult tickets sold out is 93

Step-by-step explanation:

Let the child tickets be x

And the adult tickets be y

x+y = 146 - - - - - - - 1

x= 146-y

5.3x + 9.3y= 1145.80 - - - - - 2

We can substitute x= 146-y in equation 2

5.3(146-y) + 9.3y= 1145.80 - -- 2

773.8 - 5.3y +9.3y = 1145.80

773.8+4y= 1145.80

4y= 1145.80-773.8

4y= 372

y= 372/4

y= 93

We can now substitute y= 93 in equation 1 to find x

x+ 93= 146

x= 146-93

x= 53

Hence

The number of child tickets is 53

And adult tickets sold out is 93

6 0

3 years ago

Please help am very Confused

GuDViN [60]

Answer:

Step-by-step explanation:

n>3

5 0

3 years ago

Why are there no properties of subtraction or division?

tia_tia [17]

There are no properties because you can do anything with subtraction and division

4 0

3 years ago

PLEASE HELP!!!!!!! A family has two cars. The first car has a fuel efficiency of 35 miles per gallon of gas and the second has a

Marianna [84]

Answer:

The answer to your question is car 1 = 30 gal and car 1 = 20 gal

Step-by-step explanation:

car 1 = a

car 2 = b

Efficiency of car 1 = 35 mi/gal

Efficiency for car 2 = 20 mi/gal

Total distance = 1450

Total gas consumption = 50 gal

Equations

35a + 20b = 1450 ------- (I)

a + b = 50 ------- (II)

Solve by elimination

Multiply equation II by -35

35a + 20b = 1450

-35a - 35b = -1750

Simplify

0 - 15b = -300

Solve for b

b = -300/-15

Result

b = 20

Substitute b in equation II to find a

a + 20 = 50

Solve for a

a = 50 -20

Result

a = 30

4 0

3 years ago