i need help asap i need an awncer
3x=y-4z=-22
2x+3y+4z=32
x-y+2z=16
Answers
Answer:
3x + y - 4z = -222x + 3y + 4z = 32x - y + 2z = 16 Write and number each equation. Eq 1 3x+y-4z = 16. Eq 2 -222x+3y+4z = 16. Eq 3 32x-y+2z = 16
Step-by-step explanation:
Hope it helps you buddy(:
Answer: 16
You already got the answer- But whatever.
The values of [x], [y] and [z] are 2, 0 and 7.
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written to express proportional relationship as -
y = kx {k is constant}
We have the following system of equation -
3x+y-4z=-22
2x+3y+4z=32
x-y+2z=16
We can write -
x - y + 2z = 16
x = 16 + y - 2z
So, we can write 3x + y - 4z = -22 as -
3(16 + y - 2z) + y - 4z = -22 ...eq[1]
and we can write 2x + 3y + 4z = 32 as -
2(16 + y - 2z) + 3y + 4z = 32 ...eq[2]
Plot eq[1] and eq[2], and find [y] and [z]. Refer to graph.
We get y = 0 and z = 7
So -
x = 16 + 0 - 14
x = 2
Therefore, the values of [x], [y] and [z] are 2, 0 and 7.
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Related Questions
An 80 kg jumper in flight accelerates at a rate of 8 m/s^2. What is the force of the long jumper? F = ma
Answers
By taking the product between the mass and the acceleration, we will see that the force is:
F = 640 N
What is the force of the long jumper?
By the second Newton's law, we know that a force can cause motion on a body by accelerating it, such that the force is equal to the product between the mass of the object and the acceleration.
F = m*a
F = forcem = massa = acceleration.Here we know that:
m = 80kg
a = 8 m/s^2
Replacing that we get:
F = (80 kg)*( 8 m/s^2) = 640 N
Where N is the unit Newton.
1 N = 1 kg*m/s^2
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Help me please ill add more points than usual!
Answers
Answer: how
Step-by-step explanation: love
a high school theater club has 40 student, 6 of whom are left handed. two student will be selected at random, one at a time without replacement. what is the pobability that the 2 student selected will both be left-handed/
Answers
1.92% is the probability .
Describe probability using an example?
By dividing the number of preferable possibilities by the total number of potential outcomes, probability, which measures the likelihood that an event will occur, is obtained. The most basic illustration is a coin toss. There are only two outcomes that can occur when you flip a coin: either heads or tails.The probability of an event is the ratio of the size of the event space to the size of the sample space.
The size of the sample space is the total number of possible outcomes
The event space is the number of outcomes in the event you are interested in.
so
Let
x------> size of the event space
y-----> size of the sample space
so
P = x/y
Find out the probability that the first student selected will be left-handed
we have
x = 6
y = 40
substitute
P = 6/40
Simplify
P = 3/20
the probability that the second student selected will be left-handed
we have
x = 6 - 1 = 4
y = 40 -1 = 39
substitute
P = 5/39
the probability that the 2 students selected will both be left-handed
Multiply the probabilities
P = 3/20(5/39) = 15/780
Convert to percentage
Multiply by 100
15/780 * 100 = 1.92%
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Kelly is trying to decide which plan to use to download songs. She can download 8 songs for $9.60 or 15 songs for $15.00. Which plan offers the lowest cost per song?
Answers
Answer:
The second plan ($15.00 for 15 songs) offers the lowest cost per song.
Step-by-step explanation:
The objective is to find the plan that provides the lowest cost per song. "Lowest cost per song" is basically $/song. So let's compare the two plans by calculating the cost per song.
Plan 1: $9.60/(8 songs) = $1.20/song
Plan 2: $15.00/(15 songs) = $1.00/song
The second plan ($15.00 for 15 songs) offers the lowest cost per song.
8. 5. 3
Question Help
Gregg manages a small cleaning business. He has 16 employees. The cleaners get paid $13 per hour. The cleaning supervisors get paid $18 per hour. His budget has
set aside a payroll expense of $233 per hour if all of his employees are working. How many cleaners and how many supervisors does he employ?
supervisors.
Gregg employed cleaners and
(Simplify your answers. )
Answers
Gregg manages a small cleaning business. He has 16 employees. The cleaners get $13/hour. The cleaning supervisors get paid $18/hour. then Gregg employed 11 cleaners and 5 cleaning supervisors.
Set up a system of equations where c is the number of cleaners and s is the number of cleaning supervisors:
c + s = 16
13c + 18s = 233
Solve by substitution by solving for c in the first equation:
c + s = 16
c = 16 - s
Then, plug in 18 - s as c into the second equation:
13c + 18s = 233
13(16 - s) + 18s = 233
Solve for s:
208 - 13s + 18s = 233
208 + 5s = 233
5s = 25
s = 5
Then, plug in 5 as s into the first equation:
c + s = 16
c + 5 = 16
c = 11
So, Gregg employed 11 cleaners and 5 cleaning supervisors.
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A shop is having a sale.
All items are reduced by 25%
Work out the sale price of an item normally priced at £90
Answers
The sale price of an item normally priced at £90 is £67.5
What is the percentage?
A percentage in mathematics is a figure or ratio that is stated as a fraction of 100.
Given :
A shop is having a sale. all items are reduced by 25%.
To Find:
Work out the sale price of an item normally priced at £90.
Price of an item = £90
Price is reduced by 25%
Reduction in price = 25%*90=25/100= 22.5
Reduced price = 90-22.5=67.5
Hence, the sale price of an item normally priced at £90 is £67.5
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Evaluate the expression and enter your answer in the box below.
|34|
Answers
Answer:
34
Step-by-step explanation:
Absolute value means the distance from 0. So the absolute value of 34 is just 34.
i need help pls ahhhhh
Answers
Answer:
here is the answer have a good day
Answer:
1. 40/5=8
8 x 3p=24p
8(3p+5)=24p+40
2. 48/8=6
64/8=8
8(6q-8)=48q-64
Please help! This makes no sense to me
Geometry A
Brainliest for correct answer!!
Answers
180 = 90 + 4x - 6
Combine like terms for
180 = 84 + 4x
Subtract 84 from both sides
96 = 4x
Divide both sides by 4
24 = x
A square painting has a side length of 17 inches.
What is the area of the painting?
Answers
The area of the painting is 289 [tex]inches^{2}[/tex].
Given:
A square painting has a side length of 17 inches.
we know that,
Area of square = side * side.
= 17 inches * 17 inches
= 289 [tex]inches^{2}[/tex].
Therefore the area of the painting is 289 [tex]inches^{2}[/tex].
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Complete the table. Round percent change to the nearest tenth of a percent.
Answers
Please find attached the completed table of the percentage changes on the amounts drawn with MS Word.
What is the percentage change on an amount?The percentage change on an amount is found by finding ratio of the change in the amount to the original amount then multiplying the obtained ratio by 100.
The percentage change formula is presented as follows;
[tex]\%C = \dfrac{x_2-x_1}{x_1} \times 100[/tex]Where;
%C = The percentage changex₂ = The new amountx₁ = the initial amountMaking each of the variables the subject, indicates;
The new amount, [tex]x_2 = \dfrac{\%C \times x_1}{100} + x_1[/tex]
[tex]\%C \times x_1+100\cdot x_1 = 100\cdot x_2[/tex]
[tex]x_1\cdot (\%C+100) = 100\cdot x_2[/tex]
The original amount, [tex]x_1 = \dfrac{100\cdot x_2}{(\%C+100)}[/tex]
The percentage change, [tex]\%C = \dfrac{c}{x_1} \times 100[/tex]
The original amount, [tex]x_1 = \dfrac{c}{\%C} \times 100[/tex]
Using the above formulas, the completed table is created with MS Excel and is presented as follows;
Original amount Change Percent Change New Amount
68 [tex]{}[/tex] 15 22.1 83
590 [tex]{}[/tex] -40 -6.8 550
115 [tex]{}[/tex] 20 17.4 135
120[tex]{}[/tex] -33 -27.5 87
125[tex]{}[/tex] -39 -31.2 86
163 [tex]{}[/tex] 47 28.8 210
274[tex]{}[/tex] 145.22 17.4 419.22
70 [tex]{}[/tex] -15.4 -27.5 54.6
1400[tex]{}[/tex] -1050 22.1 350
1250[tex]{}[/tex] -25 -2.0 1225
0.24[tex]{}[/tex] 0.3 125.0 0.54
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Be Precise: Yesterday, Noah ran 2½ miles in 3/5 hour. Emily ran 3 3/4 miles in 5/6 hour. Anna ran 3 1/2 miles in hour. How fast, in miles per hour, did each person run? Who ran the fastest? Help pleaseeee
Answers
Answer:
Step-by-step explanation:
Noah- 4 1/6 miles/hour
Emily- 8 1/10 miles/hour
Anna- 3 1/2 miles/ hour
Emily ran the quickest.
Answer:
Anna was the fastest.
Step-by-step explanation:
Following are the steps we take to determine each one's speed:
speed=distance/time
Noah went 4 1/6 miles an hour, Emily went 4 1/2 miles an hour, and Anna went 5 5/9 miles an hour. Therefore, Anna was the fastest.
Find the equation of a line parallel to 3x+3y=6 that passes through the point (7,-1)
Answers
The equation of the line parallel to 3x+3y=6 that passes through the point (7,-1) is y = -x + 8
How to find equation of a line?The equation of a line can be represented as follows:
y = mx + b
where
m = slopeb = y-interceptThe lines that are parallel have the same slopes.
Therefore, let's find the slope of the equation 3x+3y=6.
3x + 3y = 6
3y = - 3x + 6
divide through by 3
y = - x + 2
Therefore, the slope is - 1.
Let's find the y-intercept of the equation using (7, 1)
y = - x + b
1 = - 7 + b
b = 8
Therefore, the equation of the line is y = -x + 8
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Randy is 8 years old. His brother is twice as old as Randy. Randy’s sister is three years younger than Randy.
Write an expression to represent the age of Randy’s brother.
Answers
Step-by-step explanation:
Randy is 8 years old. His brother is twice as old as Randy. Randy’s sister is three years younger than Randy. Write an expression to represent the age of Randy’s brother.
Randy = R = 8 years
Brother = B
B = 2R
solving:
B = 2R when R = 8
B = 2(8)
B = 16 years old
Answer: Its 16
Step-by-step explanation:
You need to take randy's age twice so you need to calculate 8x2= 16.
Dennis spends 1.5 hours practicing guitar each
day. What is the total amount of time (in hours)
that Dennis spent practicing guitar after 8 days?
Answers
Dennis spent 12 hours practicing.
1.5 hours = 90 mins
90 mins x 8
720 mins = 12 hours
Find the equation of a line parallel to 5x+3y=−21 that passes through the point (-9,-3)
Answers
To find: Equation of line parallel to 5x + 3y = -21 and passes through the point (-9, -3)
Solving the given 5x + 3y = -21 for 3y yields 3y = -5x - 21.
Dividing all three terms by 3, we get:
y = (-5/3)x - 7, indicating that the given line has slope -5/3.
The slope of a line perpendicular to this y = (-5/3)x - 7 is 3/5, the negative reciprocal of -5/3.
Start with y = mx + b
Substitute -3 for y, -9 for x, and 3/5 for m
We get,
-3 = (3/5) (-9) + b
∴ b = 5/9
Thus, the equation is y = (3/5)x + 5/9 is the required equation of a line parallel to 5x+3y=−21 that passes through the point (-9,-3)
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What is the side length of the smaller square in the diagram?
Answers
The side length of the smaller square is 3 cm.
Given that:-
Length of the larger square = [tex]3\sqrt{2}[/tex] cm.
We have to find the length of the smaller square.
As the length of the larger square is equal to the diameter of the circle
Hence,
Diameter of the circle = [tex]3\sqrt{2}[/tex] cm
Now,
The diameter of the circle is equal to the diagonal of the square.
Hence, diagonal of the square = [tex]3\sqrt{2}[/tex] cm
Let the length of the square be x cm.
Hence, by pythagoras theorem, we can write,
[tex]x^2+x^2=(3\sqrt{2} )^2\\x^2+x^2=18\\2x^2=18\\x^2=9\\[/tex]
x = 3 cm
Hence, the length of the smaller square is 3 cm.
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Elon is paid by the hour. He earned $50 for a 4 hour workday. How much
does he earn in one hour?
Answers
Answer:
$12.50 per hour
Step-by-step explanation:
Elon is paid by the hour. He earned $50 for a 4 hour workday. How much does he earn in one hour?
50 / 4 = $12.50 per hour
what is the height of the polygon if the area is 9,408
Answers
Answer:
84 cm=================
Given is a parallelogram
Area of the parallelogramA = bh, where h- height, b- baseSubstitute given values and find h9408 = 112hh = 9408/112h = 84if a peregrine falcon dove at its maximum speed for half a mile to catch prey, how many seconds would the dive take? (round your answer to the nearest second.)
Answers
The time taken by peregrine falcon dove at its maximum speed to cover half a mile is 9 sec.
Who is peregrine falcon dove?It can be found with in Arctic tundra of North America and Greenland, and it migrates to Central and South American countries as during winter.The peregrine falcon is the world's swiftest bird, diving to acquire its prey at speeds of over 321 kph (200 mph). They are also among the most tolerant species and can flourish in populated places.For the given question;
The maximum speed of peregrine falcon dove is 200 mph.
Time of travel = 0.5 miles.
The relation of distance and speed is;
speed = distance/time
200 mph = 0.5 miles / time
Time = 0.5 miles / 200 mph
Time = 0.5 × 60 × 60 miles / 200 m/ sec
Time = 9 sec
Thus, time taken by peregrine falcon dove at its maximum speed to cover half a mile is 9 sec.
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Using your academic vocabulary and writing at least 5-7 sentences, give the (x, y) solution to the system and explain how to
solve it using the SUBSTITUTION METHOD. If your explanation uses any other method (graphing calculator or linear combination), you will not receive credit for this writing assignment.
y - 3x + 7
5x-y-5
Answers
y = 3x + 7
5x - y = 5
To solve by substitution method, substitute the value of y from the 1st equation into the y of the 2nd equation and solve
5x - (3x +7) = 5
Distributive property
5x -3x -7 =5
Combine like terms
2x -7 = 5
Add 7 to each side to isolate constants
2x -7 +7 = 5 + 7
Addition property of equity
2x = 12
Divide both sides by 2 to solve for x
2/2 x = 12/2
Division property of equity
x = 6
Now substitute value of x into equation 1 to solve for y
y = 3x + 7
y = (3)(6) + 7
y = 18 + 7
y = 25
Now substitute x and y values into equations to see if the solution is true
x= 6, y= 25
y = 3x + 7
25 = (3)(6) + 7
25 = 18 + 7
25 = 25
Solution is true ✅
5x - y = 5
(5)(6) - 25 = 5
30 - 25 = 5
5 = 5
Solution is true ✅
assume the state of arkansas placed a tax on playing cards of 6 cents per pack. if the state generated $48600 in revenue, how many packs of cards were sold?
Answers
The number of pack of cards sold at the state of Arkansas is 8100.
Describe the term division?Multiplication is the complete reverse of division. If participants of 4 add up to 12, then 12 divided into three classes of equally sized results in 4 in each group.For the values given in question.
The tax on playing card in state of Arkansas = 6 cents per pack.
Total revenue generated = $48600.
Divide total revenue by one pack price to get the number of packs.
Number of pack = Total revenue/price of each pack
Number of pack = $48600/6
$48600.Number of pack = 8100
Thus, the number of pack of cards sold at the state of Arkansas is 8100.
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Which of the following equations have exactly one solution?
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
6
x
−
6
=
15
x
+
15
6x−6=15x+156, x, minus, 6, equals, 15, x, plus, 15
(Choice B)
B
6
x
+
15
=
6
x
+
15
6x+15=6x+156, x, plus, 15, equals, 6, x, plus, 15
(Choice C)
C
6
x
−
15
=
6
x
+
15
6x−15=6x+156, x, minus, 15, equals, 6, x, plus, 15
(Choice D)
D
6
x
−
6
=
6
x
+
15
6x−6=6x+156
Answers
The equation which has exactly one solution is 6x - 6 = 15x + 15.
The correct answer option is option A
Solving equations with one solutionCheck all that applies:
6x - 6 = 15x + 15
6x - 15x = 15 + 6
- 9x = 21
divide both sides by -9
x = 21/-9
x = -2.33
6x + 15 = 6x + 15
6x - 6x = 15 - 15
0 = 0
False
6x - 15 = 6x + 15
6x - 6x = 15 + 15
0 = 30
False
6x - 6 = 6x + 15
6x - 6x = 15 + 6
0 = 21
False
In conclusion, the 6x - 6 = 15x + 15 has only one solution.
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a standard deck of 52 cards is acquired. for those who do not know, a deck of cards contains 4 suits (hearts, diamonds, clubs, and spades). hearts and diamonds are red, clubs and spades are black. there are 13 denominations of cards (2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king, and ace). if you select two cards (without replacement), what is the probability that you select a black card and a red card?
Answers
The probability that you select a black card and a red card is 26/51 as per the condition mentioned "choosing two cards (without replacement )".
What is probability?The area of mathematics known as probability studies potential outcomes of events as well as their relative probabilities and distributions. Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution.
Here,
Since we have not mentioned the order,
so it can black-red or red-black,
=26/52*26/51+26/52*26/51
=2*26/52*26/51
=26/51
Assuming you choose two cards (without replacement), there is a 26/51 chance that you will choose a black card and a red card.
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Enter all real solutions to $(m-4)^4 = \left(\frac 1{16}\right)^{-1}$.
Answers
The value of m is 8.
What is Exponents and powers?The amount of times a number has been multiplied by itself is shown by its exponent. The result of multiplying 8 by itself n times is represented as follows:
8 x 8 x 8 x 8 x …..n times = [tex]8^n[/tex]
Given:
[tex]$(m-4)^4 = \left(\frac 1{16}\right)^{-1}$.[/tex]
Now, solving for m
[tex](m-4)^4[/tex] = 16
[tex](m-4)^4[/tex] = [tex]4^4[/tex]
Taking the quad root we have
m -4 = 4
m = 4+ 4
m = 8
Hence, the value of m is 8.
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The green point is marked on the coordinate plane. What ordered pair represents the green point?
Answers
Answer:
pretty sure its (-6, -4)
Step-by-step explanation:
in the ||| quadrant so I know they are both negative.
The point is 6 units to the left and 4 units down.
Hope this helps! Good luck!
Select the graph that can be used to find the solution(s) of the system of equations:
y = |x| – 3
y = –x2 + 9
Answers
Answer:
(3,0) (-3,0)
Step-by-step explanation:
ask:))
What is the perimeter of the figure?
32.0cm
51.0cm
19.0cm
63.0cm
Answers
The perimeter of the figure is 32 cm
How to determine the perimeter of the shape?The figure represents the given parameters
On the figure, we have the lengths of the side lengths to be:
Lengths = 7 cm, 5 cm, 3 cm, 4 cm, 4 cm, 9 cm
To determine the perimeter of the shape, we simply add the side lengths
Mathematically, this can be represented as
Perimeter = Sum of side lengths
Substitute the known values in the above equation So, we have the following equation
Perimeter = 7 cm + 5 cm + 3 cm + 4 cm + 4 cm + 9 cm
Evaluate the sum
Perimeter = 32 cm
Hence, the perimeter is 32 cm
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The perimeter of a rectangle is 84 feet. The ratio of the width to the length is
2:5. Find the length and the width.
Answers
Length: 30
5x+5x+2x+2x = 14x
84/14 = 6
Since the ration is 2:5 you will multiply 6*2and then 6*5 to get that width and length.
6*2=12
6*5= 30
12+12+30+30 = 84
The width of the rectangle is 12 feet and the length is 30 feet.
What is perimeter?The perimeter of a shape is determined by adding the length of all the sides and edges enclosing the shape.
Given that, The perimeter of a rectangle is 84 feet. The ratio of the width to the length is 2:5.
Let the width be 2x and length be 5x,
Perimeter = 2(l+w)
2(2x+5x) = 84
2x+5x = 84/2
2x+5x = 42
7x = 42
x = 42/7
x = 6
Therefore, width = 6x2 = 12
Length = 5x6 = 30
Hence, The width of the rectangle is 12 feet and the length is 30 feet.
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A jar contains only pennies, nickels, dimes, and quarters. There are 26 pennies, 12 dimes, and 19 quarters. The rest of the coins are nickels. There are 70 coins in all. How many of the coins are not nickels? If n represents the number of nickels in the jar, what equation could you use to find n? of the coins are not nickels.
Answers
Answer:
57 coins are not nickels.
Equation: n + 57 = 70
Step-by-step explanation:
To find how many coins are not nickels, just add up the pennies, dimes, and quarters all together:
26 + 12 + 19 = 57 coins are not nickels.
The equation you could use to find n (nickels) would be:
n + 57 = 70
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