To solve the system of equations using substitution method for three variables minimum three equations are required using following steps:
1. Get the value third variable in form of other two and substitute in other two equations.
2. Now get the value of second variable in first variable and get the value of all three variables.
Let us consider three system of equations in three variable are :
x + y + z = 0 __(1)
2x + 3y + z = 2 __(2)
3x + 2y + 2z = 1 ____(3)
Get the value of z in form of x and y from (1) and substitute in (2) and (3)
z = -(x + y)
2x + 3y -(x + y) = 2
⇒x +2y = 2 __(4)
3x + 2y +2(-(x +y)) = 1
⇒3x + 2y -2x -2y =1
⇒x = 1
Now substitute in (4)
1 + 2y = 2
⇒ y = 1/2
Now substitute the value of x and y in (1)
z = - ( 1 + 1/2)
⇒z = -3/2
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Workers mixed 7 gallons of blue paint, 4 gallons of yellow paint, and 1 gallon of white paint to make a special shade of paint . They will use a total of 108 gallons of this mixture to paint the offices in a building .Based on this information, complete the following statements.
They will use _______times as much yellow paint as white paint.
They will use a total of _______gallons of blue and yellow paint.
They will use _________more gallons of blue paint than of white paint.
Answer:
What’s the answer
Step-by-step explanation:
I need help with some scientific notation problems
Answer:
1) 4.5 x 10^3 =4,500
2)5.78 x 10^-2
3) 5.7 x 10^1 = 57
4) 6.256 x 10^-3 = 0.006256
5) 7.3 x 10^2 = 730
6) 4.2 x 10^-5 = 0.000042
7) 7x10^-3 = 0.007
8) 2.563 x 10^1
9) 3.0025 x 10^2 = 300.25
10) 1.456 x 10^-1
The area of a square is a function of the length of the side of the square.
Answer: A =a2
Step-by-step explanation:
An engineer wants to determine how the weight of a gas-powered car, x, affects gas mileage, y. The accompanying data represent the weights of various domestic cars and their miles per gallon in the city for the most recent model year. Complete parts (a) through (d) below. Weight (pounds), x Miles per Gallon, y 3773 17 3793 16 2706 25 3645 20 3308 22 2908 24 3675 17 2687 24 3522 18 3827 16 a) Find the least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable y= x+( ) A certain gas-powered car weighs 3511 pounds and gets 18 miles per gallon. Is the miles per gallon of this car above average or below average for cars of this weight? The estimated average miles per gallon for cars of this weight is ( ) miles per gallon. The miles per gallon of this car is average for cars of this weight.
Answer:
y= 0.007x- 4.945
The estimated average miles per gallon for cars of this weight is (20.829 or 21 ) miles per gallon.
The miles per gallon of this car below (18 < 20.829) the average for cars of this weight.
Step-by-step explanation:
Weight Miles
(pounds), x per Gallon, y xy
3773 17 64,141
3793 16 60,688
2706 25 67,650
3645 20 72,900
3308 22 72,776
2908 24 69,792
3675 17 62,745
2687 24 64,488
3522 18 63,396
3827 16 61,232
∑y²=4075; ∑y=199; ∑x²= 116,406,174 ; ∑x=33,844 ; ∑xy=659,808
b= n∑XY - (∑X)(∑Y)/ n∑X² - (∑X)²
b=(10) (659,808) - (33,844)(199)/ 10 (116,406,174) - 1,145,416,336
b=6,598,080- 6,734,956/ 1,164,061,740 -1,145,416,336
b=136,876/18,645,404
b= 0.007341
a= Y`- bX`
a= 19.9- (0.007341) (3384.4)
a= 19.9 -24.845
a=-4.945
Y^= -4.945+ ( 0.007341) X
y= 0.007x- 4.945
Putting the values
y= 0.007x- 4.945
18 = 0.007(3511) - 4.945
18< 20.829
The estimated average miles per gallon for cars of this weight is (20.829 or 21 ) miles per gallon.
The miles per gallon of this car below (18 < 20.829) the average for cars of this weight.
Based on the scatter plot, what type of association is shown between hours of sleep and test scores?
A: Positive Association
B: Negative Association
C: No Association
15 POINTS!
1. You throw a ball through a hoop once 8 tries. How many balls can you predict you will throw the hoop 56 tries?
2. You Flip A fair coin 16 times. How many times can you expect the coin to come up tails?
3. You Hit A Ball 90% of the time. Predict how many times you will hit the ball in 200 times
Do The One that you want
Answer:
Step-by-step explanation:
1. 56/8= 7 = Amount of tries
2. 16/2= 8 = Coin to come up tails (It's a 50/50)
3. I'll skip this one.
Can somebody please help me with multiplying fractions and it would be really helpful to show examples
Step-by-step explanation:
hey, hope this helps. :)
WHAT IS A EQUATION PLEASE HELP!
Answer: 1.5s+20
Step-by-step explanation:
Find the missing length of the right triangle.
A) If 4 farmers can plow a 3-hectare land in 6 days, how long will 8
farmers do it?
Answer:
I believe that It will take 3 days if 8 farmers will plow 3-hectare land.
Step-by-step explanation:
The work doubled so days will be less in a half.
What is the area of the base ? / / / / /
Answer:
area of base = 20 in²
Step-by-step explanation:
area of base = 2 x 10 = 20 in²
find the inverse of h(x)= -x^5+2 step by step
Hi there!
[tex]\large\boxed{y = \sqrt[5]{-(x-2)}}[/tex]
[tex]h(x) = -x^{5} + 2[/tex]
Rewrite h(x) as y:
[tex]y = -x^5 + 2[/tex]
Switch the x and y variables:
[tex]x = -y^{5} + 2[/tex]
Isolate y by subtracting 2 from both sides:
[tex]x - 2 = -y^5[/tex]
Multiply both sides by -1:
[tex]-(x-2) = y^5[/tex]
Take the 5th root of both sides:
[tex]y = \sqrt[5]{-(x-2)}[/tex]
When looking for a job micah is told that the monthly salary has a range of 876 he also knows that the starting salary is 1,793 per month what is the maximum amount of money that micah can earn in this position?
Answer:
2669
Step-by-step explanation:
Given that :
Salary range = 876
Starting salary = 1793 monthly
The starting salary represents the minimum amount Micah can earn monthly
Therefore, the amount of money much can earn can be calculated thus :
Recall :
Range = maximum - minimum
876 = maximum - 1793
876 + 1793 = maximum
Maximum = 2669
Hence, the maximum salary Micha can earn is 2669 monthly
PLEASE HELP ME I WILL MARK BRAINLIEST (ITS DUE IN A HOUR)
Answer:
the equation is 9.75c=20.75
then the amount is 2.13
Step-by-step explanation:
Answer: c - 9.75 = 20.75
flip it 20.75 - 9.75 = c
- 9.75
____________
11.00
C = 11.00
find the area of the shape
Answer:
Step-by-step explanation:
Answer:
=> 1/4 * [tex]\pi r^{2}[/tex]
=> 1/4 * 3.14 * 4
=> 3.14
Answer = 3.14
Please mark my answer as the brainliest for further answers :)6. Find the quotients.
a. 0.024 : 0.015
b. 0.24 : 0.015
c. 0.024 : 0.15
d. 24 = 15
Answer:
please provide an image or the equation! would love to help.
Step-by-step explanation:
I need help!! Bill will spend at most $29 on gifts. So far, he has spent $13. What are the possible additional amounts he will spend? 
Answer:
$ is less than or equal to $16
Step-by-step explanation:
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Answer:
1st one is a function, 2nd is a funtion, 3rd is a function, 4th is not a function, 5th is not a function, 6 is a function
Step-by-step explanation:
Hope it helps :) You can see if a graph is a function by performing the vertical line test.
What does the constant term in the above expression represent? A. The constant -10 represents the cost of setting up the food stall even if no cheeseburgers were sold. B. The constant -10 represents the maximum number of cheeseburgers sold by the food stall at the funfair. C. The constant -10 represents the total money earned by setting up the food stall. D. The constant -10 represents the cost of each cheeseburger at the food stall.
Answer:
In the expression [tex]\dfrac{60 \cdot x}{x + 3} -10[/tex] what the constant term -10 represents is;
A. The constant -10 represents the cost of setting up the food stall even if no cheeseburgers were sold
Step-by-step explanation:
Whereby the expression is as given in a similar question which is presented as follows;
[tex]\dfrac{60 \cdot x}{x + 3} -10[/tex]
Where the expression represents the total money earned when a food stall is set up at a fair where 'x' stands for the number of cheeseburgers sold
Then when no cheeseburger were sold, x = 0, such at the start just after setting up the food stall, we then have;
[tex]\dfrac{60 \times 0}{0 + 3} -10 = -10[/tex]
Therefore, the money earned at the start = -10
∴ The money spent at the start = 10
Therefore, the constant -10 represents the cost of setting up the food stall even if no cheeseburgers were sold.
A cell phone company charges a one-time activation fee, as well as a monthly service charge for a cell phone plan with unlimited minutes and data. The total cost is modeled by the function C(x) = 99 + 85x. Which statement represents the meaning of the function?
Answer:
C(x) is the total cost, x is the number of months of service, $99 is the one-time activation fee, and $85 is the service charge per month.
Step-by-step explanation:
Because I'm always right.
What is this equation -4(y-2)=12
what is the combined length of 5/8
help plz look at the image to answer to all 10 questions no links plz
Answer:
2 4 6 8 12 14 16 18 20
Step-by-step explanation:
Answer:2 4 6 8 10 12 14 16 18 20
Step-by-step explanation: just add them or count by 2
what is the median and mode for the numbers 40, 28, 24, 37, 43, 26, 30, 36
Answer:
Median
Assending order =24,26,28,30,36,37,40,43
It is even no of obs
Therefore the two middle obs are 30,36
Therefore median 30+36/2
Therefore median 66/2
Therefore median is 33
There is no mode in the following obs
If you are helped with my answer pls tag me brianliest I really want it
THANK YOU.......
The median of the numbers is M = 33 and the mode is not defined
What is Median?The median is the value that's exactly in the middle of a data set when it is ordered. It's a measure of central tendency that separates the lowest 50% from the highest 50% of values. The steps for finding the median differ depending on whether you have an odd or an even number of data points
Arrange the data points from smallest to largest.
If the number of data points is odd, the median is the middle data point in the list.
If the number of data points is even, the median is the average of the two middle data points in the list.
Given data ,
Let the set of numbers be represented as set A
Now , the value of A is
A = { 40, 28, 24, 37, 43, 26, 30, 36 }
Arranging the numbers in the ascending order , we get
A = { 24 , 26 , 28 , 30 , 36 , 37 , 40 , 43 }
Now , the total number of elements in the set A = 8
So , the median is the average of the two middle data points in the list.
M = ( 30 + 36 ) / 2
M = 33
The mode of the numbers is the numbers that appears the most often
So , mode is not defined
Hence , the median is M = 33
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Classify the polynomial by degree and number of terms.
-2x² + x4 +3
constant
linear
quadratic
cubic
quartic
monomial
binomial
trinomial
Answer:
linear
Step-by-step explanation:
Answer: its a trinomial
Step-by-step explanation:
PLEASE HELP !!!!!!!!
What is the arc measure of arc PQO? Type the answer as a number only.
Answer: !50 is the answer hope this helped
Step-by-step explanation:
Find the surface area
Answer:
100
Step-by-step explanation:
i think
It is the cubicle shape
Therefore, 6l² is the formula to find surface area of cube
Area of cube = 6(10)²
Therefore, 6*100
Therefore, 600
Area of cube =600ft²
75250 tickets were available for an international cricket match. 62% of the tickets were sold
within a day. How many tickets are left?
Answer:
46655
Step-by-step explanation:
[tex]75250 \cdot \frac{62}{100} = 46655[/tex]
Which of the following is equivalent to the expression below?
Answer:
C is the answer
Step-by-step explanation:
omg I need help w all the questions lol someone pls help me. If u can message me and tell me or help me w the answers