Answer:
Step-by-step explanation:
Elimitation:
4) add both.
x=8. y=-24
5) multiply 2.
6x+10y=108.
subtract.
6y=36.
y=6.
x=8.
check:
4(8)-24=8. Correct.
-3(8)-24=0. correct.
3(8)+5(6)=54. Correct.
6(8)+4(6)=72 correct.
Hey there!
Given the following system:
4x + y = 8
-3x - y = 0
We do not need to change the equations at all, because the "y"s will already cancel eachother out. When we add the equations together, we get
x = 8
Now, we have to solve for y: We can do so by plugging in the value of x in to one of the equations:
4(8) + y = 8
Now we solve:
4(8) + y = 8
32 + y = 8
y = -24
The solution to the first given system is (8, -24)
Now, we can check by plugging the numbers into both equations, and seeing if they are true:
4(8) + (-24) = 8
32 + (-24) = 8
8 = 8 ~ TRUE
Now, we check the second equation:
-3(8) - (-24) = 0
-24 - (-24) = 0
-24 + 24 = 0
0 = 0 ~ TRUE
Both equations are true, which means that the correct solution to the first given system is (8, -24)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
For the second given system, we are going to have to change one of the equations because, when added, the "x" or "y" values will not cancel out.
3x + 5y = 54
6x + 4y = 72
We can divide the second equation by -2 so the "x" values will cancel out:
-3x - 2y = -36
Now, we add the equations:
3y = 18
And solve for "y":
3y = 18
y = 6
Now, we plug the "y" value into one of the equations and solve for "x":
3x + 5(6) = 54
3x + 30 = 54
3x = 24
x = 8
The solution to the second given system is (8, 6)
Now, we can check by plugging the "x" and "y" values into both equations:
3(8) + 5(6) = 54
24 + 36 = 54
54 = 54 ~ TRUE
Now, we check the second equation:
6(8) + 4(6) = 72
48 + 24 = 72
72 = 72 ~ TRUE
Both equations are true, which means that the correct solution to the second given system is (8, 6)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Hope this helps! Have a great day, and let me know if you need more help or have questions!
The physical plant at the main campus of a large state university receives daily requests to replace florescent light bulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 37 and a standard deviation of 8. Using the empirical (68-95-99.7) rule, what is the approximate percentage of light bulb replacement requests numbering between 37 and 61
Answer:
49.85% of light bulb replacement requests numbering between 37 and 61
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 37, Standard deviation = 8
Using the empirical (68-95-99.7) rule, what is the approximate percentage of light bulb replacement requests numbering between 37 and 61
37 is the mean
61 = 37 + 3*8, so 61 is three standard deviations above the mean
The normal distribution is symmetric, which means that 50% of the measures are above the mean and 50% are below.
By the Empirical Rule, of the 50% of the measures that are above the mean, 99.7% will be between the mean of 37 and three standard deviations above the mean, which is 61. So, this percentage is:
0.5*0.997 = 0.4985 = 49.85%
I need this math questioned answered fast please!!
Answer:
It is the last one
Step-by-step explanation:
HELP FAST WILL MARK BRAINLYIST
Answer:
7
Step-by-step explanation:
took teh test
Please help me <3 i really need the answer.
Answer 2 and 3
A is not greater than B.
B and C are not equal bc it says they are opposites
Good Luck!
Consider the function represented by the graph. What is the domain of this function?
Answer:
there's no graph take a screen shot of the graph and link it to the answer pls then I can help
Step-by-step explanation:
Yahir Garcia Solis
Gerald read
7
of a book. Mary read of the same book.
How much more of the book did Gerald read?
Georgia made many contributions to the war effort during World War I.
For each Georgia contribution, indicate the industry or group of people who made it. ( 1 answer will be used two times)
Trained Recruits
provided canned goods, uniforms, and bandages
planted victory gardens
Georgia farmers
volunteered for military duty
Georgia military facilities
grew cotton for clothing
CHOICES:
Georgia Farmers
Georgia Military facilities
Georgia Factories
Georgia Citizens
Need ASAP only answer if ur confident in ur answer
Answer:
5152 cm²Step-by-step explanation:
surface area of the given image
= 1/2 (24) 35 (2 sides) = 840 cm²
= 44 x 37 (2 sides) = 3256 cm²
= 24 x 44 (bot base) = 1053 cm²
total = 5152 cm²
A typical person has an average heart rate of 71.0 beats/min. Calculate the given questions. How many beats does she have in 4.0 years
Answer:
37317600 beats she will have in 4 years.
Step-by-step explanation:
Given that,
A typical person has an average heart rate of 71.0 beats/min.
We need to find the number of beats she have in 4 years.
As 1 year = 525600 min
1 min = 71 beats
525600 min = 525600 × 71
=37317600 beats
Hence, 37317600 beats she will have in 4 years.
You traveled 210 miles in 3.5 hours.
How many miles will you travel per hour?
Please hurry
Answer:
60 miles
Step-by-step explanation:
por que si es la verdad
The function j(x)= 34x represents the number of jumping jacks j(x) you can do in x minutes. How many jumping
jacks can you do in 10 minutes?
A. 224 jumping jacks
B. 3 jumping jacks
C. 144 jumping jacks
D. 340 jumping jacks
Which of the numbers below is less than 9.18? Select all that apply.
A) 9.2 B)9.1
C) 9.07
D) 8.99
Which of the following graphs represents a relation that is not a function
it says circle each fraction that is equivalent to one half so witch one 3/6 4/9 or 4/8 5/10
Answer:
jjnkm
Step-by-step explanation:
Name a pair of supplementary angles. PLS HELP
A. angles AEB and CEB
B. angles AEB and BED
C. angles FED and DEC
D. angles FED and DEB
B supplementary is what angles equal 180 degrees
10,000 times 100,00 help please
Answer:1,000,000
Step-by-step explanation:THERE U GO :)
help me pls thank u very much very much
Answer:
y = 95° and x = 21°
Step-by-step explanation:
y + 85° = 180° { being co-interior angles }
y = 180° - 85°
y = 95°
y = 4x + 11°[ being vertically opposite angles ]
95° = 4x + 11°
4x = 95° - 11°
4x = 84°
x = 84° / 4
x = 21°
Solve t/12=4 what is the solution for t?
Answer:
thx for the points the answer is 3
Step-by-step explanation:
Answer:
For me it was wrong.
Step-by-step explanation:
Mia is a songwriter who collects royalties on her songs whenever they are played in a commercial or a movie. Mia will earn $50 every time one of her songs is played in a commercial and she will earn $120 every time one of her songs is played in a movie. How much would Mia earn if his songs were played in 5 commercials and 3 movies? How much would Mia earn if his songs were played in
c
c commercials and
m
m movies?
Answer:
610 is your answer
Step-by-step explanation:
50x5 = 250 120x 3 =360 360+250 is 610
hope this helps
A family of three goes to a salon. Each person gets a haircut and highlights. The cost of each haircut is $15, and the cost per person for highlights is x dollars. Write and simplify an expression that represents the total cost for the family at the salon
Answer:
45+3.x
Step-by-step explanation:
Each person gets a haircut --> 3.15= 45
I NEED HELP WITH THIS PROBLEM
Answer:
3 1/2, 3
Step-by-step explanation:
Good luck!
Answer:
(3.5,-3)
hope that helpeddd :)
What is a 90% confidence interval for the true proportion of adult drivers who have often or sometimes talk on a cell phone when driving
The question is incomplete. Here is the complete question.
USA Today reported that 36% of adult drivers admit that they often or sometimes talk on a cell phone when driving. This was based on a random sample of 1004 adult drivers.
a) What is a 90% confidence interval for the true proportion of adult drivers who have often or sometimes talk on a cell phone when driving?
b) What is a 95% confidence interval for the true proportion of adult drivers who have often or sometimes talk on a cell phone when driving?
c) What is a 99% confidence interval for the true proportion of adult drivers who have often or sometimes talk on a cell phone when driving?
d) What do you notice?
Answer and Step-by-step explanation: The way to calculate confidence interval for proportions is by using the following formula:
[tex]z(\sqrt{\frac{p(1-p)}{n} } )[/tex]
where
p is the sample population proportion
n is the number of individuals in the sample
z is z-score associated of the % of confidence
a) A 90% confidence has a z-score of z = 1.645
Calculating:
Interval = [tex]1.645(\sqrt{\frac{0.36(1-0.36)}{1004} } )[/tex]
Interval = [tex]1.645(\sqrt{0.00023} )[/tex]
Interval = [tex]1.645(0.01515)[/tex]
Interval = 0.025
A 90% Confidence interval for true population is between 0.335 and 0.385.
b) A 95% confidence has a z-score of z = 1.96
Since the sample parameter didn't change, the interval will be:
Interval = 1.96(0.01515)
Interval = 0.03
For a 95% confidence, interval is between 0.33 and 0.39.
c) A 99% confidence has a z-score of z = 2.58
Interval = 2.58(0.01515)
Interval = 0.39
For a 99% confidence, interval is between -0.03 and 0.75
d) Confidence interval tells you how certain your results from polling or survey would represent the real population's behaviour. In the experiment above, as the percentage of certainty grows, closer the real population proportion actually is for adult drivers who often or sometimes talk on a cell phone when driving.
If charlie runs to the store 3 miles away in 32 minutes, what is his speed?
Answer:
5.63
Step-by-step explanation:
i took the test
Answer:
5.63 miles per hour
0.0948 miles per minute
10:40 pace per mile
what is --
% of $85 = $17
Answer:
78
Step-by-step explanation:
Answer
78
Step-by-step explanation:
si un metro de tela vale 9,45 € , cuánto vale un trozo de 0,75 m? Doy corona
Answer:
No hablas espanol :)
Step-by-step explanation:
X + 10y - 4y + 4x
:combine like terms:
2. Given AMAR, solve for the m&M. Round to the
nearest hundredth.
A
13x?
M
(6x)
R
Answer:
what is the question
Step-by-step explanation:
Rectangle ABCD is similar to rectangle EFGH.
What is the value of s?
Answer: 3m is the answer!
Step-by-step explanation:
PLS HELP I WILL GIVE BRAINLEST
Michelle is an architect who builds skyscrapers. She has a sheet of measurements that she needs convert before she can begin her next project. One wall is 12 ⅜ ft long and has a width of 19.73 ft. Change the given mixed number to a decimal. Circle the correct response.
A 12.3 ft
B 12.375 ft
C 12.38 ft
D 12.83 ft
Answer:
B 12.375 is the answer
Step-by-step explanation:
Key skills needed: Fraction to Decimal Conversion
1) The mixed number that is in the question is --> [tex]12\frac{3}{8}[/tex]
2) We need to find 12 and 3/8 as a decimal.
[tex]12\frac{3}{8}= 12 + \frac{3}{8}[/tex]
This means it would be 12."something"
We need to find out what [tex]\frac{3}{8}[/tex] as a decimal is.
3) To do this, we do 3 ÷ 8 (to find the decimal form of a fraction, you do the numerator divided by the denominator).
4) Check the image I posted to see how I did 3 ÷ 8.
5) Well based on the division, 3 divided by 8 is 0.375
This means that [tex]12 + \frac{3}{8} = 12 + 0.375 = 12.375[/tex]
Therefore 12.375 is your answer
Hope you understood and have a nice day!! :D
PLEASE HELP!! I NEED THIS!
2+2=? 3+1=?
Okay I'll give Brainlyest to someone... Just answer it..
Answer:
2+2=4 and 3+1=4
Step-by-step explanation:
Hope this Helps! :)
Answer:
2+2=4 and 3+1=4 hope thsi helps!
Step-by-step explanation:
What is the slope when the rise is 1.5 and the run is -3?
Answer:
Slope = 1.5/-3
Step-by-step explanation:
Slope = rise/run