Answers
This means x = 2, y = 3 and z = 1
========================================================
Work Shown:
Double everything in the second equation to get 4x-2y+4z=6
Add this result to the first equation
[tex]x+2y-4z = 4\\4x-2y+4z = 6\\5x+0y+0z = 10[/tex]
The first two lines of that expression above shows us adding x+2y-4z=4 to the equation 4x-2y+4z = 6
The x terms add to x+4x = 5x
The y terms add to 2y+(-2y) = 0y
The z terms add to -4z+4z = 0z
The terms on the right hand side add to 4+6 = 10
That's how we end up with the new equation 5x+0y+0z = 10
That becomes 5x = 10 which solves to x = 2 when we divide both sides by 5.
------------------------
Use this x value in the third original equation to find z
3x-8z = -2
3(2)-8z = -2
6-8z = -2
-8z = -2-6
-8z = -8
z = -8/(-8)
z = 1
------------------------
Use the x and z values we found to find y
x+2y-4z = 4
2+2y-4(1) = 4
2+2y-4 = 4
2y-2 = 4
2y = 4+2
2y = 6
y = 6/2
y = 3
----------------------
Overall we get the solutions to be x = 2, y = 3 and z = 1
We can say the solution as an ordered triple is (x,y,z) = (2,3,1)
Related Questions
Chrzan inc manufactures and sells two products product ro and product no data concerning the expected production of each product and the expected total direct labor hours dlhs required to produce that out put appear below
Answers
The activity rate for the Order Size activity cost pool under activity-based costing is closest to A. $59.78 per MH.
What is the activity rate under activity-based costing?The activity rate under activity-based costing is also called the cost driver rate.
The activity rate per cool pool can be computed by dividing the cost pool total cost by the cost driver total requirements.
Data and Calculations:Order size Overhead Costs = $579,866
Machine Hours (MHs) = 9,700
Activity rate for the Order Size = $59.78 ($579,866/9,700)
Thus, the activity rate for the Order Size activity cost pool under activity-based costing for Chrzan Inc. is closest to A. $59.78 per MH.
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Question Completion with Answer Options:Expected Direct Labor- Total Direct
Production Hours Per Unit Labor-Hours
Product E0 300 9.0 2,700
Product N0 1,000 8.0 8,000
Total direct labor hours 10,700
The company is considering adopting an activity-based costing system with the following activity cost pools, activity measures, and expected activity:
Estimated
Activity Cost Pool Activity Overhead Expected Activity Total
Measures Costs Product E0 Product N0
Labor-related DLHs $ 296,390 2,700 8,000 10,700
Production orders orders 55,587 300 400 700
Order size MHs 579,866 5,000 4,700 9,700
$ 931,843
The activity rate for the Order Size activity cost pool under activity-based costing is closest to:_________-.
A. $59.78 per MH
B. $87.09 per MH
C. $44.16 per MH
D. $37.05 per MH
Solve for y
129 = y + 43
Answers
Answer:
86=y
Step-by-step explanation:
129=y+43
-43 -43
86=y
or
y=86
the equation of the line in the graph is y = blank x + blank
Answers
Answer:
y=-1x-1
Step-by-step explanation:
Suppose f(x)=x^2+9x+8
1. Suppose F(x) is obtained by reflecting the graph over the y-axis. Find a formula for F(x).
Suppose g(x)=x^19-8x^6-x^5+7x^2+x+9.
1. Reflected over x-axis vertically
2. Reflected over y-axis horizontally
Answers
Using translation concepts, the functions are given as follows:
1. F(x) = x² - 9x + 8.
2. [tex]G(x) = x^{19} + 8x^6 - x^5 - 7x^2 + x - 9[/tex]
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
In item 1, the function is:
f(x) = x² + 9x + 8.
When the function is reflected over the y-axis, we have that:
F(x) = f(-x),
Hence:
F(x) = (-x)² + 9(-x) + 8.
F(x) = x² - 9x + 8.
For item 2, the function is:
[tex]g(x) = x^{19} - 8x^6 - x^5 + 7x^2 + x + 9[/tex]
When the function is reflected over the x-axis, we have that:
G(x) = -g(x).
Hence:
[tex]G(x) = -x^{19} + 8x^6 + x^5 - 7x^2 - x - 9[/tex]
When the function is reflected over the y-axis, we have that:
Hence:
G(x) = G(-x).
[tex]G(x) = -(-x)^{19} + 8(-x)^6 + (-x)^5 - 7(-x)^2 - (-x) - 9[/tex]
[tex]G(x) = x^{19} + 8x^6 - x^5 - 7x^2 + x - 9[/tex]
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Need help with this first one to answer gets branliest
Answers
Answer:
-27
Step-by-step explanation:
Given: f(x)= -x^2+10x-16, g(x)= |11-2x^2|
f(9)= -(9)^2+10(9)-16
= -7
g(-5)= |11-2(-5)^2|
=39
Solve: 2[f(9)]-1/3[g(-5)]
= 2[(-7)] - 1/3[39]
= -27
Please need help on this one
Answers
Answer:
25 degrees
Step-by-step explanation:
Use a trig. ratio
[tex]sin^{-1}[/tex]=3/7
Plug it into a calculator
[tex]sin^{-1}[/tex]=25.3
Simplify -2 1/9 - (-4 1/9)
1)
2 2/9
2)
-6 4/9
3)
-2 2/9
4)
6 4/9
Answers
Answer:
2
Step-by-step explanation:
The easiest thing is to convert it to an improper fraction.
-2 1/9 turns into -19/9. -4 1/9 turns into -37/9.
-19/9 - (-37/9) here you would add because you are subtracting a negative number.
-19/9 + 37/9 change it to positive and then add.
-19+37=18
it was 18/9. that simplified is 2.
Georgie spends $160 on clothes. She pays 6.5% in tax. How much does she spend altogether?
Answers
The correct answer is $170.4
Explanation:
The total Georgie spent is equal to the money spent on clothes ($160) added to taxes (6.5% of the price of the clothes). Now, to calculate the money spend on taxes follow this process:
1. Divide the total of money spent on clothes into 100 (this number represents 100%)
160 ÷ 100 = 1.6
2. Multiply this number by the specific percentage (6.5)
1.6 x 6.5 = $10.4 (This is the money spent on taxes)
Finally, add the value of taxes and the price of the clothes:
$160 + $10.4 = $170.4
Solve For y:
-1/2=3/8y
y=
Answers
Answer:
y = -4/3
Step-by-step explanation:
multiply each side with a reciprocal of 3/8 which is 8/3.
8/3 * -1/2 = -4/3
Answer:
-4/3
Step-by-step explanation:
Select all correct answers.
Choose all of the numbers that DO NOT simplify to an integer.
−1√negative square root of 1
−324−−−√negative square root of 324
−100−−−√negative square root of 100
−25−−√negative square root of 25
−125−−−√negative square root of 125
−289−−−√
Answers
Answer:
(e) -√125 = -5√5, not an integer
Step-by-step explanation:
You want to identify the numbers that are not integers.
Negative square rootThe positive or negative square root of a perfect square will be an integer.
-√1 = -1-√324 = -18-√100 = -10-√25 = -5-√125 = -5√5 . . . . . not an integer-√289 = -17All of the answer choices are integers except -√125.
-√125 does not simplify to an integer.
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Please please help me !!
solve the system of equations using the substitution method.
{ x + 2y= -8
{ x = -6y
Select the correct choice below and fill in any answer boxes present in your choice.
A. The solution of the system is __. (simplify your answer. Type an ordered pair.)
B. There are infinitely many solution.
C. There is no solution.
Answers
Answer:
your answer is (-12,2)
write 29/20 as a percentage
Answers
Answer: 145%
Step-by-step explanation:
Convert fraction (ratio) 29 / 20 Answer: 145%
PLEASE ANSWER FAST
Question 1 (4 points)
(04.01)
Which of the sets of ordered pairs represents a function? (4 points)
A={(-5, 5), (-2, 2), (2, -2), (5, -5)}
B= {(4, 2), (3, -2), (9, 4), (11, -3)}
Only A
Only B
Both A and B
Neither A nor B
Answers
Answer:
both A and B
Step-by-step explanation:
I hope that helps
What is the coefficient in the expression -9y - 10 ?
Answers
In an examination given to a class of 20 students, the following test scores were obtained.
45 45 50 50 55 60 70 75 75 80
80 85 85 85 85 90 95 95 95 100
a) Find the mean (or average) score, the mode, and the median score.
b) Which of these three measures of central tendency do you think is the least representative of the set of scores?
Answers
Answer:
Mean = 75
Median = 80
Mode = 85
The mode
Step-by-step explanation:
Given the data :
45 45 50 50 55 60 70 75 75 80 80 85 85 85 85 90 95 95 95 100
Rearranged data :
45, 45, 50, 50, 55, 60, 70, 75, 75, 80, 80, 85, 85, 85, 85, 90, 95, 95, 95, 100
The mean score :
ΣX / n ; n = sample size = 20
ΣX = 1500
Mean = 1500 / 20 = 75
Mode = most frequently occurring = 85 ( frequency of 4)
Median = 0.5(n + 1)th term
Median = 0.5(20 + 1)th term
Median = 0.5(21) th term
Median = 10.5th term = (10 + 11)th term / 2
Median = (80 + 80) / 2 = 160 / 2 = 80
2.) The mode
a man buys eggs at RS 9.60 per dozen and sell 20 eggs for RS 18 what is his gain or loss percen?
Answers
Answer:
88.89%
Step-by-step explanation:
Step one:
given
a man buys eggs at RS 9.60 per dozen
what is the unit cost of the dozen of eggs?
unit cost = 9.60/12
= $0.8 per egg
He sold 20 eggs for RS 18
the unit selling price = 18/20
=$0.9 per egg
the percent gain is
=0.8/0.9*100
=0.888*100
=88.89%
Put these numbers from least to greatest 0.51, 3/4, 0.59, 3/8, 0.24, 0.517
Answers
Answer: 0.24, 3/8, 0.51, 0.517, 0.59, 3/4
Step-by-step explanation:
First you will have to convert the 3/4 and 3/8 to a decimal number. By doing this 3/4 turns into 0.75 and the 3/8 becomes 0.375. After this step you then arrange the numbers for the lowest of 0.24 then the 3/8 (0.375) next 0.51 after that is 0.517 then 0.59 and final after that 3/4
You go to a store and buy a soda, the store charges a 7.4% sales tax on your purchase. If the soda costs $3.79 how much will your TOTAL cost be? (this includes the price of the snack and the tax) *
Answers
Answer:
it would be 3.84
Step-by-step explanation:
edge
Write a linear equation for the graph in point-slope form. Show your work. (2 points)
Use your equation to determine how long Grace was at birth. Show your work and explain how you can check your result using your knowledge of rate of change. (3 points)
Based on the data, how long do you predict baby Grace will be at 36 months of age? Use the rate of change to justify your answer. Does your answer make sense? Explain. (2 points)
Answers
The point-slope intercept equation is y - 20 = 3/4(x - 4).
The rate of change is 3/4.
At 0 months (at birth), Grace was 17 inches long.
At 36 months, Grace would be 44 inches long.
How to Create a Linear Equation?A linear equation of a graph can be represented in point-slope form as y - b = m(x - a), where (a, b) is a point on the graph and m is the slope.
Find the Slope (m) using two points (4, 20) and (8, 23):
Slope (m) = change in y/change in x = (23 - 20)/(8 - 4)
Slope (m) = 3/4
Substitute (a, b) = (4, 20) and m = 3/4 into y - b = m(x - a):
y - 20 = 3/4(x - 4) [point-slope intercept equation]
At birth, months would be x = 0. To find how long Grace was at birth, substitute x = 0 into y - 20 = 3/4(x - 4) to find the value of y:
y - 20 = 3/4(0 - 4)
y - 20 = 3/4(-4)
y - 20 = -3
y - 20 + 20 = -3 + 20
y = 17
This means that, at 0 months (at birth), Grace was 17 inches long.
At 36 months, substitute x = 36 into y - 20 = 3/4(x - 4) to find the how long Grace was (y):
y - 20 = 3/4(36 - 4)
y - 20 = 3/4(32)
y - 20 = 24
y - 20 + 20 = 24 + 20
y = 44
At 36 months, Grace would be 44 inches long.
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r
[tex]555 { { { { { { \\ \\ \\ \\ \\ \\ \\ \\ }^{?} \times \frac{?}{?} \times \frac{?}{?} }^{?} }^{?} }^{?} }^{?} }^{?} [/tex]
Answers
i have no idea what question you need answered
Which number has 53 as a multiple?
1
3
7
9
Answers
Answer:
The answer is 1 or A.
Step-by-step explanation:
53 is a prime number meaning the only multiple it has is 1 and itself.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
6th-grade math help me, please
Answers
Answer:
i believe it's 0
Step-by-step explanation:
Answer:
3. 2 2/5 is not an integer
Step-by-step explanation:
hi i love you! <3
So does God and everyone else
Answers
Answer:
thanks
u to
Step-by-step explanation:
PLZZZZZZZZZZZZ HELPPPPPPPPPPPPPPPPP
Answers
Answer the following questions
WILL GIVE BRAINLIEST
Answers
For the following graph, it is found that:
It represents a function, as it value of x is mapped to only one value of y.The inverse is a function, as the graph is one-to-one, that is, each value of y is mapped to only one value of x.When does a graph represents a function?A graph represents a function if it has no vertically aligned points, that is, each value of x is mapped to only one value of y.
For the graph in this problem, the statement is true, hence the graph is a function.
Is the inverse a function?The inverse of a graph will be a function if the original function is one-to-one, that is, each value of y is mapped to only one value of x, meaning that the graph has no horizontally aligned points.
This is also true for this function, hence the inverse is a function.
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The bakers at Healthy Bakery can make 170 bagels in 2 hours. How many
bagels can they bake in 14 hours? What was that rate per hour?
Answers
Given:
The bakers at Healthy Bakery can make 170 bagels in 2 hours.
To find:
How many bagels can they bake in 14 hours and the rate per hour.
Solution:
We have,
Number of bagels the bakers can bake in 2 hours = 170 bagels
Number of bagels the bakers can bake in 1 hours = [tex]\dfrac{170}{2}[/tex] bagels
= 85 bagels
Therefore, the average rate is 85 bagels per hour.
Number of bagels the bakers can bake in 14 hours = [tex]14\times 85[/tex] bagels
= 1190 bagels
Therefore, the bakers can bake 1190 bagels in 14 hours.
Does x come before y
Answers
Answer:
x comes before y (x, y). One way to remember is 'you go along the hallway before you go up the stairs'.
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
How could you use 1/8 cup measuring cup to measure the water
Answers
Answer:
You fill it up to be 8/8 Full
Step-by-step explanation:
Answer:
By putting the water in the measuring cup?
Step-by-step explanation:
If this is not the answer you were looking for you might what to specify your question!
Hope this helps!
6. A box contains 2 red balls 4 blue balls, and 3 green balls. Three
balls are rawn at random and not replaced. What is the
probability that the first ball is red, the second one is blue, and the
third one is blue?
a) .048
b) .044
c) .063
d) .033
Answers
Answer:
.48
Step-by-step explanation:
4. A runner 1600 meters in 4 minutes. What was his rate of speed? *
Answers
400m/s