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
marin [14]
4 years ago
15

A method of solving a system of equations in which one variable is replaced by an expression using the other variable as a repre

sentation for that variable.
I need to know what this is called
Mathematics
2 answers:
9966 [12]4 years ago
7 0

Answer:

Substitution method.

Step-by-step explanation:

Using the substitution method is very easy, you have a system of equations like the next one:

x+y=7

x-y=3

So you clear one of them for one of the variable and then substitute that cleared variable in the other equation:

x=3+y

*x+y=7

*(3+y)+y=7

*3+2y=7

*2y=7-3

*2y=4

*y=2

That is hte method of substitution.

Tanya [424]4 years ago
3 0
I believe it is referred to as The Substitution Method.
You might be interested in
The variable z is inversely proportional to x. When x is 6, z has the value of 2. What is the value of z when x=13
netineya [11]

Answer:

z=0.923

Step-by-step explanation:

we know that

A relationship between two variables, x, and z, represent an inverse variation if it can be expressed in the form z*x=k or z=k/x

step 1

Find the value of k

For x=6, z=2

z*x=k

substitute

2*6=k

k=12

therefore

The equation of the inverse variation is equal to

z*x=12

step 2

What is the value of z when x=13

substitute the value of x in the equation and solve for z

z*(13)=12

z=12/13

z=0.923

8 0
3 years ago
A bottling machine in a chemical plant supposed to fill average of 250 ml of acids and the data is approximately normally distri
jasenka [17]

Answer:

Check the explanation

Step-by-step explanation:

(a) P(Type I error) = P( H_0 is rejected |

Here we have  : µ = 250 and : µ ≠ 250

Here it is given that if 240 < X < 260 then the machine is considered operating satisfactory i.e.  is not rejected.

So rejection region is X <= 240 and X >= 260.

Also we know that X follows N( µ , (400/12) ) as population follows N( µ, 400) ; So ( X - µ) / (20 / (12)1/2) follows std. normal distribution.

So, P( is rejected | is true) = P(X <= 240 | µ = 250) + P(X >= 260 | µ = 250)

= P(( X - µ) / (20 / (12)1/2) <=(240 -250)/ (20 / (12)1/2| µ = 250) +

P(( X - µ) / (20 / (12)1/2) >=(260 -250)/ (20 / (12)1/2| µ = 250)

= P(( X - µ) / (20 / (12)1/2) <= -1.7320508076 | µ = 250) + P(( X - µ) / (20 / (12)1/2) >= 1.7320508076 | µ = 250)

And since ( X - µ) / (20 / (12)1/2) follows std. normal distribution. This can be found from Z-tables.

so, = 0.0416 + 0.0416 = 0.0832

(b) P(Type II error) = P( H_0 is not rejected | H_0 is false) = P(240 < X < 260 | µ ≠ 250)

We have to calculate probability of type II error specifically at µ = 242 so,

= P(240 < X < 260 | µ =242) = P((240 -242)/ (20 / (12)1/2 <= ( X - µ) / (20 / (12)1/2) <= (260 -242)/ (20 / (12)1/2)| µ = 242)

= P(-0.3464101615 <= ( X - µ) / (20 / (12)1/2) <= 3.1176914535 | µ = 242)

And since ( X - µ) / (20 / (12)1/2) follows std. normal distribution. This can be found from Z-tables.

= 0.6346

3 0
3 years ago
My question is in the picture pls help
zaharov [31]

Answer:

B. 7 cm

Step-by-step explanation:

4 0
4 years ago
Read 2 more answers
All tubes of watercolor paint at an art supply store have the the same price. An artist has a coupon for $0.50 off each tube of
BlackZzzverrR [31]

Let us assume the regular price of each tube of paint = r.

0.50 off each tube.

New price of each tube = r - 0.50.

She buy 6 tubes.

Total price of 6 tubes = 6×(r-0.50).

We are given total price = $84.30 .

Therefore, we can setup an equation

6×(r-0.50) = 84.30.

Distributing 6 over (r-0.50), we get

6r - 3.0 = 84.30

Adding 3.0 on both sides, we get

6r - 3.0+3.0 = 84.30+3.0

6r = 87.30

Dividing both sides by 6, we get

6r/6 = 87.30/6

r = 14.55

<h3>Therefore, required equation is 6(r-0.50) = 84.30 and the regular price of each tube of paint is $14.55.</h3>
5 0
3 years ago
HELP!!! I WILL GIVE BRAINLIEST!!! 10 PTS!!!
tatiyna

Answer:

x= 55 degrees

w = 5

Step-by-step explanation:

Triangle PQR contains two triangles, QPS and PSR.

Looking at triangle QPS, it is an isosceles triangle. This is shown by the two short lines that cuts line QP and line QS.

In an isosceles triangle, two sides and two angles are equal. The two equal angles are the base angles.

Therefore,

angle P and angle S are equal. Also

Line QP and line PS are equal. This means

6w - 10 = w

6w-w = 10

5w = 10

w = 10/2 = 5

Angle Q + 100 degrees = 180 ( sum of angles on a straight line)

Angle Q = 180 - 100 = 80 degrees

Angle Q = Angle S(base angles of an isosceles triangle)

Angle PSR = 180 - 80 = 100 degrees( sum of angles on a straight line is 180)

Angle PSR + x + 25 = 180

x = 180 - 25 - 100 = 55 degrees

6 0
3 years ago
Other questions:
  • What do you think is another example of when a person would need to use credit or borrow money?
    10·1 answer
  • The last anwser to 2 is 83.6..... can anyone help with 1 or 2 please it’s urgent
    13·1 answer
  • Need help please, i will give brainlyist.
    7·2 answers
  • Equity, by definition, is:
    15·1 answer
  • Write an algebraic expression for the word phrase.
    14·2 answers
  • Can someone help me with this criptoaritmetic question?
    12·1 answer
  • Can someone please help me ASAP (Radical expressions)
    7·1 answer
  • Do you guys know which one im supposed to choose
    6·1 answer
  • Order these ratios from least to greatest- 7:2, 12 to 4, 20/6, 21:14, 10:5<br> pls :,)
    8·1 answer
  • Point P is located 2/5 of the distance from A to E. Point P is located at (-1, -1) and point A
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!