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
Shtirlitz [24]
1 year ago
9

Solve the following system of equations.

Mathematics
1 answer:
Elan Coil [88]1 year ago
5 0

Answer:

(2,-3)

Step-by-step explanation:

I am not sure if you meant the first equation to be y or -y.  I solved it as y.

y = x-5                       -x -3y =7

I am going to take the second equation and write it as x =

-x - 3y = 7  Give equation

-x = 3y +7   Add 3y to both sides

x = -3y-7  Multiplied each term in the equation by -1 so that x could be positive

I am going to substitute -3y-7 for x in the first equation up above

y = x - 5

y = -3y -7 - 5  Substitute -3y-7 for x

y = -3y -12  Combined -7-5

4y = -12  Added 3y to both sides

y = -3  Divided both sides by 4.

I now know that y is -3, I will plug that into x = -3y-7 to solve for x

x = -3(-3) -7

x = 9-7   A negative times a negative is a positive

x = 2

You might be interested in
HELP!!! WILL GIVE BRAINLIEST! NEED THIS DONE ASAP
Alborosie

Answer:

The last answer would be your answer. hope this helps

3 0
3 years ago
Read 2 more answers
Do you believe that the US should convert to the metric system explain why or why notâ
Anna71 [15]

Answer:

Step-by-step explanation:

4 0
3 years ago
Solve the inequality 12(1/2x-1/3)>8-2x
gizmo_the_mogwai [7]

Answer:8(1/2x - 1/4)> 12 - 2x

a.x > 7

b.x > 7/3

c.x > 5/3

d.x > 5/3

Step-by-step explanation: Solve the inequality 12(1/2x-1/3)>8-2x

3 0
3 years ago
Josh is hiking Glacier National Park. He has now hiked a total of 17 \text{ km}17 km17, start text, space, k, m, end text and is
EastWind [94]

Answer:

The equation to determine the total length in kilometers is  \frac{h}{2} =(17+2)

The total length in kilometers of Josh’s hike is  38 km.

Step-by-step explanation:

Given:

Let the total length in kilometers of Josh’s hike be h.

Now Given that He has now hiked a total of 17 km and is 2 km short of being 1/2 of the way done with his hike.

It means that to reach half of the length of total length Josh needs 2 more km to add in his hiking which is done which is of 17 km.

Framing the above sentence in equation form we get;

\frac{h}{2}=(17+2)

Hence, The equation to determine the total length in kilometers is  \frac{h}{2} =(17+2)

Now Solving the above equation we get;

First we will multiply 2 on both side using Multiplication property we get;

2\times \frac{h}{2}= 2\times(17+2)\\\\h =2\times 19 =38 \ km

Hence,  The total length in kilometers of Josh’s hike is  38 km.

4 0
3 years ago
Read 2 more answers
According to a study done by Nick Wilson of Otago University Wellington, the probability a randomly selected individual will not
Lorico [155]

Answer and Step-by-step explanation:

From the question statement we get know that it is Binomial distribution because there are only two possible outcomes so we need to use Binomial Probability Distribution for this question.

Formula for the Binomial Probability Distribution:

P(X)=   p^x q^(n-x)

Where,

  • C_x^n=n!/(n-x)!x!   (i.e. combination)
  • x= total number of successes
  • p=probability of success (p=1-q)  
  • q=probability of failure (q=1-p)
  • n=number of trials
  • P(X)= probability of total number of successes

Answer and explanation for each part of the question are as follow:

a.What is the probability that among 10 randomly observed individuals exactly 4 do not cover their mouth when sneezing?

Solution:

Given that

n=10  

p=0.267 (because p is the probability of success which is “number of individuals not covering their mouths when sneezing” in the question)

q=1-0.267=0.733  

x=4 (number of successes i.e. individuals not covering their mouths)

C_x^n=n!/(n-x)!x!=10!/(10-4)!4!=210

P(X)=C_x^n   p^x q^(n-x)=210×〖(0.267)〗^4×〖0.733〗^(10-4)

P(X)=210×0.00508×0.155  

P(X)=0.165465  

b. What is the probability that among 10 randomly observed individuals fewer than 3 do not cover their mouth when sneezing?

Solution:

Given that

n=10  

p=0.267 (because p is the probability of success which is “number of individuals not covering their mouths when sneezing” in the question)

q=1-0.267=0.733  

x=3 (number of successes i.e. individuals not covering their mouths)

C_x^n=n!/(n-x)!x!=10!/(10-3)!3!=120

P(X)=C_x^n   p^x q^(n-x)=120×(0.267)^3×〖0.733〗^(10-3)

P(X)=120×0.01903×0.1136  

P(X)=0.25962  

c. Would you be surprised if, after observing 18 individuals, fewer than half covered their mouth when sneezing? why?

Solution:

Given that

n=18  

p=0.267 (because p is the probability of success which is “number of individuals not covering their mouths when sneezing” in the question)

q=1-0.267=0.733  

x=9 (x is the number of successes “number of individuals not covering their mouths when sneezing”, if less than half cover their mouth then more than half will not cover), so let x=9

C_x^n=n!/(n-x)!x!=18!/(18-9)!9!=48620

P(X)=48620×(0.267)^9×〖0.733〗^(18-9)  

P(X)=48620×0.00000689×0.0610  

P(X)=0.020  

Yes, I am surprised that probability of less than 9 individuals covering their mouth when sneezing is 0.020. Which is extremely is small.

3 0
3 years ago
Other questions:
  • A weather station in a major city in the Northwest kept data about the weather conditions over the past year. The probabilities
    13·2 answers
  • What is the factored form of a2 – 121?
    9·2 answers
  • Which of the following statements is true?
    6·2 answers
  • Find each sum.<br> -51 +23=
    10·1 answer
  • What is the value of X in the equation 8x-2y=48, when y=4
    6·2 answers
  • The figure shows the dimensions of a room. How much carpet is needed to cover the floor of the room?
    15·1 answer
  • write the ratios sin m, cos m, and tan m. give the exact value and four decimal approximation. Please help.
    12·1 answer
  • Consecutive numbers follow one right after the other. An example of three consecutive numbers is 17, 18, and 19. Another example
    10·1 answer
  • What is the answer to this question?#1 #2 #3 #4 #5 #6
    9·1 answer
  • PLEAAASE HELP.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!