Answer:
The solution to the system of equations be:
[tex]y=4,\:x=0[/tex]
As the consistent system of equations has only one solution, it is independent.
Step-by-step explanation:
Given the system of equations
[tex]3y + 2x= 12[/tex]
[tex]36 - 9y = -6x[/tex]
solving the system of equations
[tex]\begin{bmatrix}3y+2x=12\\ 36-9y=-6x\end{bmatrix}[/tex]
Arrange equation variables for elimination
[tex]\begin{bmatrix}3y+2x=12\\ -9y+6x=-36\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}3y+2x=12\mathrm{\:by\:}3\:\mathrm{:}\:\quad \:9y+6x=36[/tex]
[tex]\begin{bmatrix}9y+6x=36\\ -9y+6x=-36\end{bmatrix}[/tex]
so
[tex]-9y+6x=-36[/tex]
[tex]+[/tex]
[tex]\underline{9y+6x=36}[/tex]
[tex]12x=0[/tex]
[tex]\begin{bmatrix}9y+6x=36\\ 12x=0\end{bmatrix}[/tex]
solve 12x=0 for x
[tex]12x=0[/tex]
Divide both sides by 12
[tex]\frac{12x}{12}=\frac{0}{12}[/tex]
[tex]x=0[/tex]
[tex]\mathrm{For\:}9y+6x=36\mathrm{\:plug\:in\:}x=0[/tex]
[tex]9y+6\cdot \:0=36[/tex]
[tex]9y=36[/tex]
Divide both sides by 9
[tex]\frac{9y}{9}=\frac{36}{9}[/tex]
[tex]y=4[/tex]
Thus, the solution to the system of equations be:
[tex]y=4,\:x=0[/tex]
As the consistent system of equations has only one solution, it is independent.
help please with number 2 help please thank you
Answer:
He will save $300
Hope this helps
WILL MARK BRAINLIEST!!!
The production rate of a steel factory is declining due to old machinery. Over the last eight days production has dropped by 1.2 tons. What is the average rate of change in steel production over the eight days? Express the answer in tons per day.
A. +1.2
B. -1.2
C. +0.15
D. -0.15
Answer:
option D.
Step-by-step explanation:
average rate of change in steel production over the eight days=-0.15 tons per day
Step-by-step explanation:
The production rate of a steel factory is declining due to old machinery. Over the last eight days production has dropped by 1.2 tons.
Production is dropped by 1.2 tons, so its negative
Average rate of change = Change in production / number of days
Average rate of change = -1.2/ 8= -0.15
so sorry -0.15
CMON HELP ME PLEASE IM SUPER DESPREATE I CANNOT FAIL HADAOSJDPOKD0NA UABAUDB
Answer: C. (5)
Step-by-step explanation:
Answer:
Pretty sure it's C!
I also hope you don't fail
Step-by-step explanation:
I GIVE BRAINLILSET
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Answer:
647$ USD
Step-by-step explanation:
You add 4% of each sale to eachother and to the 375. goodluck!
Answer:
7171
Step-by-step explanation:
i added it all up and thats what i got hope this helps and if right can i have brainlyest.
X is normally distributed random variable with mean 63 and standard deviation 6, the probability that X lies between 45 and 81 is
Answer:
P(45<X<81) = P(-3<z<3)=0.9974 or 99.74%
Step-by-step explanation:
Mean = 63
Standard Deviation =6
We need to find probability that X lies between 45 and 81 i.e P(45<X<81)
First we will find z-score for X=45 and X=81
For X=45 the z-score can be found using formula: [tex]z-score=\frac{X-\mu}{\sigma}[/tex]
Putting values and finding z-score
[tex]z-score=\frac{X-\mu}{\sigma}\\z-score=\frac{45-63}{6}\\z-score=-3[/tex]
For X=45, z-score is -3
For X=81 the z-score can be found using formula: [tex]z-score=\frac{X-\mu}{\sigma}[/tex]
Putting values and finding z-score
[tex]z-score=\frac{X-\mu}{\sigma}\\z-score=\frac{81-63}{6}\\z-score=3[/tex]
For X=81, z-score is 3
Now finding the probability of P(-3<z<3)
It can be solved as:
P(-3<z<3)=P(z<3)-P(z<-3)
Looking at the z-score table to find
P(z<3)= 0.9987
P(z<-3)=0.0013
So, P(-3<z<3)=P(z<3)-P(z<-3)
P(-3<z<3)=0.9987 - 0.0013
P(-3<z<3)=0.9974
or P(-3<z<3)= 99.74%
So, P(45<X<81) = P(-3<z<3)=0.9974 or 99.74%
Order from least to greatest
11. 357
2. 1.02
13. .80
4. .002
15. .05
16. .40
Answer:
0.002 , 0.05 , 0.40 , 0.80 , 1.02 , 2 , 4 , 11 , 13 , 15 , 16 , 357
Step-by-step explanation:
11 , 357 , 2 , 1.02 , 13 , .80 , 4, .002 , 15 , .05 , 16 , .40
Find the value of x in the parallelogram below.
Answer:
129
Step-by-step explanation:
the 2 angles together will equal 180 because that is half of a circle a circle is 360so what you do is subtract 180 minus 51 and get 129
What's 2/3 divided by 5
what is 3% increase of 775 dollars?
Answer:
23.25
Step-by-step explanation:
Who know the answer to this
Two angles are supplementary. One has a measure that is five times as large as the other. Find the two angle measures.
Answer:
30° and 150°
Step-by-step explanation:
supplementary means that the sum of the measures = 180
let's say 1 angle is labled ∠A and the other ∠B
m∠A + m∠B = 180°
however, m∠A = 5 * m∠B
so, by substituting that:
5*m∠B + m∠B = 180°
6*m∠B = 180°
m∠B = 30°
m∠A = 150°
is the square root of 9/31 rational
Answer:
NO
Step-by-step explanation:
no, 9/31 is not an irrational number. ... So we have shown that the square root of any non-square cannot be rational; hence, it is irrational.
The square root of 9/31 rational is not a rational number.
We have given that 9/31.
We have to determine is the square root of 9/31 rational
What is the square root of arational numbers?A rational number is a number that can be expressed as the quotient of two integers, with the denominator not equal to zero.
9/31 is not an irrational number.
So we have shown that the square root of any non-square cannot be rational.
hence, it is irrational.
Therefore it is not a rational number.
To learn more about the rational number visit:
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Collect like terms
−
8
d
2
−
3
d
2
Answer:
8,2,2,3
d,d,
HOPE THIS HELPS
Answer:
5d²
Step-by-step explanation:
Given
8d² - 3d² ← collect like terms by subtracting the coefficients, that is
(8 - 3)d²
= 5d²
a new bank customer with $4500. wants to open a money market account. the bank is offering a simple interest rate 1.5%. how much interest will the customer earn in 20 years? what will the account balance be after 20 years?
Answer:
a. 1350
b. 6500
Step-by-step explanation:
1.5%×4500=5850
1350+4500=5850
plz help thank you thank you
Answer:
B
Only one that goes over once and up twice
Answer:
b is the answer I believe
Use the number line to identify the least value, first quartile, median, third quartile, and greatest value of the data.
Ages of teachers (in years): 30, 62, 26, 35, 45, 22, 49, 32, 28, 50, 42, 35
Answer: least value - 22
first quartile - 29
median - 35
third quartile - 47
greatest value - 62
Step-by-step explanation:
write down the relation between mass and inerti
Answer:
The mass of an object is directly proportional to its inertia.
[tex]m\alpha I[/tex]
Where
m = mass
I = inertia
Step-by-step explanation:
We can first of all start by defining the two key terms present here - mass and inertia.
The mass of an object is the quantity of matter contained in the object.
The inertia of an object is the resistance of an object which is in a state of rest to motion
The mass of an object is directly proportional to its inertia.
The heavier an object is, the more inertia it has. To put things into perspective, you can easily push a bicycle because it does not really have a lot of mass, as opposed to pushing an eighteen-wheeler trailer.
WILL GIVE BRAINLIEST ANSWER!
You are locked out of your house and the only open window on the second floor is 25 feet above the ground. You need to borrow a ladder from one of your neighbors. There is a bush along the edge of the house, so you will have to place the ladder 10 feet from the house. What length of the ladder do you need to reach the window?
Factor by grouping
2xy + 4x + 3y + 6
Answer:
15xy
Step-by-step explanation:
F(x)=(x-2)(x-6) Find the x-intercepts
Solve the equation below by factoring, then select ALL of the possible solutions.
f (x) = x^2 - 9x - 36
a . x = - 12
b. x = - 9
c. x = - 6
d. x = - 4
e. x = - 3
f. x = - 2
g. x = 2
h. x = 3
i. x = 4
j. x = 6
k. x = 9
l. x = 12
18/6 as a whole number?
The answer is 3
Explanation: Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction. 3
Answer:
its 3
Step-by-step explanation:
Proportional graphs can be straight or curved. .
O True
O False
7th grade what is the tone, or mood in the beginning of the play? "A christmas carol"
A- Violent and frighting
B- Dark and gloomy
C- Silly and sentimental
D- Loving and festive
Answer:
C
Step-by-step explanation:
C
help me please i need help
Answer: yes they are equivalent
Step-by-step explanation: When you distribute both equations, you end up with 5m-10.
PLEASE HELP ASAP!!!!
Sue is a waitress in a restaurant. She started the day with $20 in her pocket, and she earns an average of $5 for each table that she waits on. Which of the following graphs represents the money that Sue has in her pocket after waiting on x tables?
the last one
Hope this helps! :3
plz mark as brainliest!
Negative ten is no less than two times a number plus fourteen
can you please solve it
Answer:
-12≥x
Step-by-step explanation:
-10≥2x+14
-24≥2x
-12≥x
The dosage of a certain medication is 1/4 ounce for every 50 pounds of body weight. How many ounces of this medication are required for a person who weighs 175 pounds. Write your answer as a decimal.
Step-by-step explanation:
175÷50=3.5
3.5×1/4=0.875
Which graph does NOT represent a function?
Answer:
graph b
Step-by-step explanation:
it's b because it doesn't have any features like a function it's just a round shape that makes it a none function
A project consists of three tasks: A, B, and C. Task A is known to take five days for sure. Tasks B and C are each dependent on A. B takes five days. C takes seven days with a probability of 0.5 and three days with a probability of 0.5. What is the expected completion time of the project
Answer:
The expected completion time of the project is:
10 days.
Step-by-step explanation:
Duration of Task A = 5 days
Task B and C depend on Task A
This implies that Task A must be completed before Task B and C can be started.
To complete Task B will take 5 days
To complete Task C will take 5 days (7 * 0.5) + (3 * 0.5)
Since Task A takes 5 days and Tasks B and C depend on Task A and Task B takes 5 days and Task C takes expected time of 5 days, it means that the project can be completed in 10 days (5 + 5) if tasks B and C are simultaneously carried out.
The expected completion time of the project is
(i)10 days if B&C are mutually independent
(ii)15 days if B &C are mutually dependent
What is the expected completion time of a task?Expected completion time of a task= p1x1 + p2x2
Where
p1 & p2 are probabilities.
x1 and x2 are samples.
p1=p2=0.5
x1=7
x2=3
Expected completion time of task C= 0.5*7+0.5*3 = 5 days
Task B and C will be due till task A is not accomplished.
Total time to accomplish task A = 5 days
Total time to accomplish task B= 5 days
Expected time to accomplish task C = 5 days
If tasks B and C are mutually independent
expected time to complete the project = 5+5=10days
If task C depends on task B
Expected time to complete the project = 5+5+5 = 15 days.
Therefore
The expected completion time of the project is
(i)10 days if B&C are mutually independent
(ii)15 days if B and C are mutually dependent
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