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
What would be the first step in when solving the following linear system by substitution?
x = 4 + y
x - 2y = 10
Answers
Answer:
plug in the first equation into the second
Step-by-step explanation:
(4+y) -2y=10
Answer:
You need to plug in the first equation into the second
Step-by-step explanation:
(4+y) -2y=10
G is the centroid of AABC, FC = 35, AG = 42, BF = 57, and DG = 14. Find BG.
Answers
Answer:
[tex] BG = 38 [/tex]
Step-by-step explanation:
Based on centroid theorem of triangles:
[tex] BG = \frac{2}{3} \times BF [/tex]
[tex] BF = 57 [/tex]
Plug in the value into the equation
[tex] BG = \frac{2}{3} \times 57 [/tex]
[tex] BG = \frac{2 \times 57}{3} [/tex]
[tex] BG = \frac{114}{3} [/tex]
[tex] BG = 38 [/tex]
Write (p^2)^3 without exponents
Answers
Answer:
p^6
Step-by-step explanation:
We are using rule power to a power. x^2^3 = x^(2*3)
p^6
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In a recent school newspaper survey, 3,000 randomly selected teenagers were asked to cite their primary transportation method to school. Fifteen of 20 teenagers said they use their own car to get to school. A 90% confidence interval to estimate the true proportion of teenagers who drive their own car to school is found to be (0.5907, 0.9093). Which of the following is a correct interpretation of the confidence level?
Ninety percent of the time, the procedure used to generate this interval will capture the true proportion of teenagers who drive their own car to school.
Ninety percent of all samples of this size would yield a confidence interval of (0.5907, 0.9093). (not correct)
There is a 90% chance that the true proportion of teenagers who drive their own car to school will be (0.5907, 0.9093).
Ninety percent of all the samples of size 3,000 lie in the confidence interval (0.5907, 0.9093).
There is a 90% chance that randomly selected teenagers will be part of the 75% who drive their own car to school.
Answers
Answer: There is a 90% chance that the true proportion of teenagers who drive their own car to school will lie in (0.5907, 0.9093).
Step-by-step explanation:
Interpretation of a% confidence interval : A person can be a% confident that the true population parameter lies in it.
Here, A 90% confidence interval to estimate the true proportion of teenagers who drive their own car to school is found to be (0.5907, 0.9093).
i.e. A person can be 90% confident that the true proportion of teenagers who drive their own car to school lies in (0.5907, 0.9093).
Hence, correct interpretation is : There is a 90% chance that the true proportion of teenagers who drive their own car to school will lie in (0.5907, 0.9093).
Answer:
A) Ninety percent of the time, the procedure used to generate this interval will capture the true proportion of teenagers who drive their own car to school.
Step-by-step explanation:
took the test
1.1 Paul leaves from Johannesburg to Limpopo and has to travel 300km to get to his destination: If he travels at a constant speed of 75 km per hour, how many hours will it take him to get there?
1.2 And if he only has 90 minutes to get to his destination, what speed must he travel to get there on time?
Answers
Answer:
4 hours ; 200 kmph
Step-by-step explanation:
Given that :
Distance to be covered = 300 km
Speed of travel = 75kmph
Number of hours it will take to get to destination :
Time taken = Distance / speed
Time taken = 300 km / 75 kmph
Time taken = 4 hours
2.) If he has 90 minutes to get to destination, required speed will be ; 90 minutes = 1.5 hours
Speed = distance / time
Speed = 300 km / 1.5 hours
Speed = 200 kmph
HELP ME PLEASE I WILL PUT U AS BRILLIANT
Answers
Answer:
2 and 1/4
Step-by-step explanation:
3.5 - 1.25 = 2.25
2.25 as a mixed number is 2 and 1/4
I GIVE BRAINLILEST
//////////////////////////////////////
Answers
Answer:
answer is c makes sense because you just add 1.25 x 20
The sum of two numbers is 96 the larger number is nine less than four times the smaller number find both numbers
Answers
Answer:
21 and 96
Step-by-step explanation:
Let x and y be the two numbers such that x>y.
As the sum of both the numbers is 96.
x+y=96...(i)
As the larger number is nine less than four times the smaller number,
So, x=4y-9
From equation (i),
4y-9+y=96
5y=96+9=105
So, y=105/5=21
By using equation (i),
x=96-y=96-21=75
Hence, both the numbers are 21 and 96.
To determine the number of trout in a lake, a conservationist catches 94 trout, tags them and throws them back into the lake. Later, 30 trout are caught; 10 of them are tagged. How many trout would the conservationist expect to be in the lake?
Answers
Answer:
She would expect to find about 282 fish in the lake.
Step-by-step explanation:
What polygons have at least 4 sides?
Answers
Answer:
rectangles, squares, diamonds, rhombuses, and trapezoids
Step-by-step explanation:
Your Welcome
Answer: quadralaterals, pentagons, hexagons, heptagons, occtagons, nonagons, decagons, hendecagon, dodecagon, and so on.
Step-by-step explanation:
please help me due today I will give brainiest
Answers
2. Is 7 x 1/7
3. Is
Which graph represents y=3vx
Answers
Answer:
is it just that one graph
Step-by-step explanation:
Answer:hmm
Step-by-step explanation:
Evaluate the following expression 1/10^o
Answers
Answer:
1
Step-by-step explanation: anything raised to zero is one
Answer:
1
Step-by-step explanation:
anything to the power of zero is equal to 1
Hope this helps! :3
plz mark as brainliest!
No Com
A certain shade of paint is made by mixing 5 parts blue paint with 2 parts white paint. To get
the correct shade, how many quarts of white paint should be mixed with 8.5 quarts of blue
paint?
Answers
Answer:
5.5
Step-by-step explanation:
8.5-5=3.5
so you need to add 3.5 to the amount of white paint.
2+3.5 is 5.5
The answer is 5.5
On the way to work Stan can drive his 60-mile commute in 1 hour. However, because of traffic, it takes 3 hours to get home. What is his average speed for the round trip?
A. 30 miles per hour
B. 20 miles per hour
C. 60 miles per hour
D. 40 miles per hour
Answers
There are 100 tiles that were purchased to raise money for a new playground. The tiles will be laid along a walkway. Each tile is 4.75 inches wide. If the tiles are going to all be lined next to each other, how many inches long will they cover along the walkway?
Answers
Answer: 475 inches
Step-by-step explanation:
if we have 100 tiles and each is 4.75 inches wide
100*4.75=475 inches
Name the function family that each equation best belongs to.
Use the following answer choices to answer questions 7- 11 (each choice can be used more than once.)
a. Quadratic
b. Absolute Value
c. Linear
d. Exponential
e. Reciprocal
f. Cubic
g. Square Root
h. Cube Root
i. Logarithmic
Answers
Answer:
you dont have 7 to 11
Step-by-step explanation:
13.a
15.a
12.i
14.h
Solve the question above please <3
Answers
Select the correct answer. 3 A linear function has a y-intercept of -12 and a slope of 3/2. What is the equation of the line?
a. y = 3/2x - 12
b.y=3/2x+12
c.y=2/3x-12
d y=-12x-3/2
Answers
Answer:
a. y = 3/2x - 12
Step-by-step explanation:
Slope is y = mx + b
Slope or m = 3/2
y-intercept or b = -12
Substitute m for 3/2 and b for -12 then the answer would be y = 3/2x - 12
Given right triangle ABC with altitude BD drawn to hypotenuse ACAC. If AD=4AD=4 and DC=9 ,DC=9, what is the length of BD?
(Note: the figure is not drawn to scale.) Please help ASAP will award 100 points
Answers
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
please help asap will give brainliest
Answers
Answer:
of course three units ..
How to find the nearest number before and after any real number.
Answers
Answer:
add and subtract 1 and 1
Step-by-step explanation:
u have a 5. add one and subtract one is 6 and 4.
Hope this helps plz hit the crown :D
Subtract the following polynomials, then place the answer in the proper location on the grid.
2x^2+5x-10
3x2 - x + 9
Answers
Answer:
[tex]-x^2+6x-19[/tex]
Step-by-step explanation:
Step one:
given
[tex]2x^2+5x-10\\\\3x^2 - x + 9[/tex]
we want to perform a subtraction operation
[tex]2x^2+5x-10-(3x^2 - x + 9)\\\\ 2x^2+5x-10-3x^2 + x - 9 \\\\[/tex]
collect like terms
[tex]2x^2-3x^2+5x+x-10-9\\\\-x^2+6x-19[/tex]
Find the difference
$9.36 - $1.12
Answers
Write an equation for each line (L,P ,N,M)
Answers
Answer:
LP = NM
Step-by-step explanation:
Answer:
Please post the graph with the line!
Solve the system of equations. (1 point) 5x + y = 9 3x + 2y = 4
Answers
Explanation:
-2(5x+y=9)=-10x-2y=-18
+3x+2y=4
Mark out the -2y and 2y and add the rest of the equation together
-7x=-14
divide -7 by both sides
X=2
You have 2/4 of a pizza and you want to share it equally between 2
people. How much of the pizza does each person get?
Answers
Answer:
1/4
Step-by-step explanation:
2/4 divided by 2 equals 1/4.
Answer:
HonEy me dont no no anything PERIODT
Step-by-step explanation:
105 is divisible by what 2 5 10
Answers
PLEASE HELP ME!!!!!!!!!!
Answers
Answer:
-7/10
Step-by-step explanation:
To find the slope of a line, you need to find the [tex]\frac{rise}{run}[/tex] between two points. I will be using the points (-3, 5) and (7, -2).
[tex]\frac{rise}{run}[/tex] = [tex]\frac{-2-5}{7-(-3)}[/tex]
= [tex]\frac{-7}{10}[/tex]
= -7/10
Suppose that fund-raisers at a university call recent graduates to request donations for campus outreach programs. They report the following information for last year's graduates.
Size of donation $0 $10 $25 $50
Proportion of call 0.40 0.30 0.25 0.05
Three attempts were made to contact each graduate. A donation of $0 was recorded both for those who were contacted but who declined to make a donation and for those who were not reached in three attempts. Consider the variable
x = amount
of donation for the population of last year's graduates of this university.
(a) Write a few sentences describing what you think you might see if the value of x was observed for each of 1000 graduates.
You would expect roughly of the graduates to donate nothing, roughly to donate $10, roughly to donate $25, and roughly to donate $50. The frequencies would be close to, but not exactly, these values. The four frequencies would add to .
(b) What is the most common value of x in this population?
$
(c) What is P(x ≥ 25)?
(d) What is P(x > 0)?
Answers
Answer:
Following are the solution to the given points:
Step-by-step explanation:
In point a:
It's also expected that approximately [tex]1000 \times 0.40 =400[/tex] of both, the students contribute zero, approximately [tex]1000 \times 0.30 =300[/tex] to donors $10, approximately [tex]1000 \times 0.25 = 250[/tex] donors $25, and then about [tex]1000 \times 0.05 = 500[/tex] dollars $50 donors. Its frequencies would be similar to and not precisely, the probability. The four levels will stack up to a thousand.
In point b:
It is the population, in which the key value of x is a $0 donation ( 40 percent of students do this).
In point c:
[tex]\to P(X \geq 25) \\\\\to 0.25+0.05 \\\\\to 0.30[/tex]
In point d:
[tex]\to P(X>0)\\\\ \to 1-P(X=0)\\\\ \to 1- 0.40\\\\\to 0.60\\\\[/tex]