1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
igor_vitrenko [27]
3 years ago
14

PLEASE HELP!!! Needed ASAP!

Mathematics
1 answer:
hoa [83]3 years ago
5 0

Answer:

6x - 3 y = 6

6x + 8y = -16

multiply equation 2 by -1

-6y -8y = 16

6x - 3y = 6

-11y =22

y = -2

substitute the value of y in 1

6x - 3(-2) = 6

6x + 6 =6

6x =0

x = 0

(x;y)

[0; -2]

9) 4x + 3y = 19

6x + 3y =33

multiply equation 2 by -1

4x + 3y = 19

-6x - 3y = -33

eliminate one variable by adding the equations

-2x =-14

x = 7

substitute the value of x in the equation

4(7) +3y = 19

28+ 3y = 19

3y =-9

y = -3

(x;y)

[7 ; -3]

10 ) 2x + 6y = 17

2x - 10y = 9

multiply by -1 in equation2

2x +6y = 17

-2x + 10 y = -9

eliminate one variable by adding the equations

16 y = 8

y = 1/2

substitute the value of y in the equation.

2x +6 (1/2) = 17

2x + 3 = 17

2x = 14

x = 7

x:y

[7 ; 1/2 ]

You might be interested in
Two boats left a base camp at bearing of S60°E and S50°W at speeds of 50km/h and 70km/h respectively. Find the distance between
ivolga24 [154]

Answer:

  • 197.93 km

Step-by-step explanation:

Let the base camp is point A and boats' locations after two hours are points B and C.

By connecting the three points together we get a triangle ABC with sides:

  • AB = 50*2 = 100 km
  • AC = 70*2 = 140 km

The angle between AB and AC is:

  • 60 + 50 = 110 degrees (opposite directions from south)

We are looking for the distance BC, which can be found by using the law of cosines:

  • BC² = AB² + AC² - 2AB*AC*cos ∠BAC
  • BC² = 100² + 140² - 2*100*140*cos 110°
  • BC²  = 39176.56 (rounded)
  • BC = √39176.56 = 197.93 km (rounded)

The distance between the boats is 197.93 km.

7 0
1 year ago
The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are 1000 mosquitoes initially and there a
Anettt [7]

Answer:

1) The size of the colony after 4 ​days is 6553 mosquitoes

2) After t = 4.9\ days

Step-by-step explanation:

To answer this question you must use the growth formula

N = N_0e ^ {kt}

Where

N_0 is the initial population of mosquitoes = 1000

t is the time in days

k is the growth rate

N is the population according to the number of days

We know that when t = 1 and N_0=1000 then N = 1600

Then we use these values to find k.

1600 = 1000e ^{k(1)}\\\\\frac{1600}{1000} = e ^ k\\\\ln(\frac{1600}{1000}) = k\\\\k = 0.47

Now that we know k we can find the size of the colony after 4 days.

N = 1000e ^ {0.47(4)}\\\\N = 6553\ mosquitoes

To know how long it should take for the population to reach 10,000 mosquitoes we must do N = 10000 and solve for t.

10000 = 1000e ^ {0.47t}\\\\10 = e ^ {0.47t}\\\\ln(10) = 0.47t\\\\t = \frac{ln(10)}{0.47}\\\\t = 4.9\ days

6 0
2 years ago
You travel 8 miles on your bicycle in the same amount of time it takes your friend to travel 6 miles on
strojnjashka [21]

Answer:

Step-by-step explanation:

8/v=6/v-3

8*(v-3)=6v

8v-8*3=6v

8v-24=6v

+24     +24

8v=6v+24

-6v      -6v

2v=24

v=24/2

v=12  miles /hour

v2=12-3=9 miles /hour ( your friend)

6 0
2 years ago
Daniel bought a new pair of shorts at the store when they were having a 5% off sale. If the regular price of the pair of shorts
castortr0y [4]
Discount =5%
Regular price =$83
Price at which daniel bought the shorts =$83-5%of$83
=$83-5×83/100
=$78.85
3 0
3 years ago
What is the volume of the base of a pyramid is 18 square yards. The height of the pyramid is 5 feet tall if its base is a square
satela [25.4K]
Use the equation for volume of a pyramid (base x width x height)
8 0
3 years ago
Other questions:
  • A taxi company charges passengers $2.00 for a ride, no matter how long the ride is, and an additional $0.20 for each mile travel
    5·1 answer
  • 2783 and 7283. The value of 2 in ____ is ____times the value of 2 in_____.
    9·1 answer
  • 3. If Earth was 10 times farther away from the sun than it is now, which planet would it be closest to? (Assume all the planets
    6·2 answers
  • What is $60times 1/5
    12·1 answer
  • What is the answer please show work 7x + 4 = 5x + 10
    11·2 answers
  • Someone help!!!!! ASAP
    15·1 answer
  • Which is the value of this expression
    14·1 answer
  • Help I need the answers immediately​
    15·2 answers
  • The new 12 mile hiking trail is 150% of the length of the original trial. How long was the original trial?
    14·1 answer
  • The perimeter of a rectangle can be found using the equation p=2l+2w where p is the perimeter l is the length and w is the width
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!