What is the solution to the system of equations? y =2/3 x + 3 x = -2

Two planes left simultaneously from the same airport and headed in the same direction towards another airport 3600 km away. The

ExtremeBDS [4]

Answer:

800 kph
600 kph

Step-by-step explanation:

Equation

Let s represent the speed of the faster plane. Then its travel time is ...

time = distance/speed = 3600/s

travel time for the slower plane is ...

time = distance/speed = 3600/(s -200)

The difference in these times is 1.5 hours, so we have ...

3600/(s -200) -3600/s = 1.5

Solution

Multiplying by (2/3)s(s -200), we get ...

2400(s) -2400(s -200) = s(s -200)

s^2 -200s -480000 = 0 . . . . . . . . . . rewrite in standard form

(s -800)(s +600) = 0 . . . . . . . . . . . . . factor

The positive value of s that makes a factor zero is s = 800.

Conclusion

The speed of the faster plane was 800 km/h; of the slower plane, 600 km/h.

_____

Check

The travel time for the faster plane was 3600/800 = 4.5 hours. For the slower plane, 3600/600 = 6 hours, a difference of 1.5 hours.

6 0

2 years ago

Using the following image, solve for SR. Look at the image closely.

iren [92.7K]

Step-by-step explanation:

I assume

SR = 2x + 23

RQ = x + 21

if that is true, then the situation is completely simple :

14 = (2x + 23) + (x + 21) = 3x + 44

3x = -30

x = -10

SR = 2×-10 + 23 = -20 + 23 = 3

RQ = -10 + 21 = 11

4 0

2 years ago

Read 2 more answers

A triangle has squares on its three sides as shown below. What is the value of x? Three squares having side lengths 3 cm, x cm,

Pani-rosa [81]

Answer:

The value of x is 5 centimeters.

Therefore, option 3 is correct.

Step-by-step explanation:

A triangle has three sides 3,x and 4 cms

Since the triangle is right angle triangle so, it will follow the Pythagoras theorem:

$hypotenuse^2=side^2+side^2$ (1)

We have been given three sides x,3 and 4

On substituting the values in (1) we get:

$x^2=3^2+4^2$

$x^2=9+25$

$\Rightarrow x=5$

Hence, the value of x is 5 centimeters.

Therefore, option 3 is correct.

Please look at the attachment for the figure.

3 0

3 years ago

Read 2 more answers

What is the value sinθ? 12/13 13/5 5/12 5/13

riadik2000 [5.3K]

There are 6 eggs in a box. how many boxes do you need to get 342 eggs? please answer it

8 0

2 years ago

What does an increase in taxes and decrease in the money supply do to the supply and demand curves?

jok3333 [9.3K]

Answer:

The supply and demand curves will shift to the left i.e. there will be a decrease in demand and supply.

Step-by-step explanation:

First: Tax is a compulsory contribution to state revenue, levied by the government on workers' income and business profits, or added to the cost of some goods, services, and transactions.

Secondly: Money supply is the total amount of monetary assets available in an economy at a specific time.

When tax is increased, this means individuals and businesses have to contribute more to the state revenue leaving both categories with lesser income or profit i.e. lesser to spend.

In the same way, when money supply decreases, there is lesser money available to both individuals and businesses

What this implies is that demand will decrease because income has decreased. Supply will also decrease because producers will not make as much profit given the increase in tax (tax is considered cost of production).

As a result of this, the demand curve shifts to the left, the supply curve also shift to the left because both demand and supply will decrease.

8 0

3 years ago