System of liner equation [tex]x+3y-z=2[/tex],[tex]x+y-z=0[/tex] and [tex]3x+2y-3z=-1[/tex] has no solution.
What do you mean by system of linear equation?
A set of two linear equations with two variables is a system of linear equations.
Given:
[tex]x+3y-z=2[/tex] ---1
[tex]x+y-z=0[/tex] ---2
[tex]3x+2y-3z=-1[/tex] ---3
Rearranging the equation 2
[tex]z=x+y[/tex] ---4
Putting equation 4 in equation 1
⇒ [tex]x+3y-(x+y)=2[/tex]
⇒ [tex]x+3y-x-y=2[/tex]
⇒ [tex]2y=2[/tex]
⇒ [tex]y=1[/tex]
Putting equation 4 in equation 3
⇒ [tex]3x+2y-3(x+y)=-1[/tex]
⇒ [tex]3x+2y-3x-3y=-1[/tex]
⇒ [tex]-1y=-1[/tex]
⇒ [tex]y=1[/tex]
Putting value of y above
⇒ [tex]1=1[/tex]
Therefore, system of liner equation has no solution.
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RSTU is a rhombus with an area of 480 square inches.
Diagonal RT is 20 inches long. What is the length of UO?
R
20
A 24 in.
C 36 in.
(not drawn to scale)
S
B 32 in.
D 40 in.
The length of UO in the rhombus is 24 inches
How to determine the length of UO?The given parameters are
Area = 480 square inches
Diagonal RT = 20 inches
The area of the rhombus is calculated as
Area = RT * US/2
Where UO = US/2
So, we have
Area = RT * UO
So, we have
20 * UO = 480
Divide both sides by 20
UO = 24
Hence, the length of UO is 24 inches
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 A company has 37 2/11
acres of land. They give the City 5 1/2 acres for park. How many acres does the company now own?
Answer:
31 15/22 acres
Step-by-step explanation:
2/11=4/22
1/2=11/22
=15/22
37-6=31
31+15/22=31 15/22
A number added to -19 is equal to -21
Answer:
-2
Step-by-step explanation:
Let, the needed number be x;
x-19=-21
x=-21+19
x=-2
Question 3(Multiple Choice Worth 2 points) (Order of Operations with Radicals LC) Simplify the expression. 20(6) − 7 113 20 −20 −113
The simplified value of the expression will be -824.
What is algebraic expression ?
An algebraic expression in mathematics is made up of variables, constants and operations such as addition, subtraction, etc.
Given that the expression is 20 × (6) − (7 × 113 × - 20) − 20 − 113.
Now , we will simplify the above expression using PEMDAS rule , which follows the order that is parentheses, exponents, multiplication, division, addition, subtraction.
So , if we solve the expression we will get ,
= (20 × 6) − (7 × 113) - 20 − 20 − 113
Firstly , solve terms which are in parentheses.
= 120 - 791 - 20 - 20 - 113
Now , we will add all the negative terms.
= 120 - 944
Now , subtracting both numbers.
= -824
Thus , the simplified value is equal to -824.
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a bottle of wine costs $20. if the wine is $5 more than the bottle, how much is the bottle?
Answer: the bottles cost is 15$
Step-by-step explanation:
Answer:
Step-by-step explanation:
if the wine bottle is $20 and the bottle is $5 less, then 20-5=15.
The bottle costs $15
Write an equation in slope intercept form that’s Perpendicular to y=1/4x+2, and passes through (0,0)
The equation which is perpendicular to the given equation as in the task content is; y = -4x + 0.
Perpendicular linesIt follows from the task content that the line given is; y=1/4x+2.
It follows that the slope is; 1/4 by comparison with the slope-intercept equation; y = mx +c.
Since the required equation is perpendicular; it follows that the products of the slopes must be equal to; -1.
Hence, m × (1/4) = -1
m = -4.
Since, the point, (0,0) is the y-intercept, it follows that the required equation is; y = -4x + 0.
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What is the measure of an exterior angle of a regular ten-sided polygon?
Answer:
36 each and 360 for all exteriors
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
36 x 10 ( how many sides a decagon has) = 360 degrees
What are two different ways to describe the relationship between the values of each digit 8 in 3.884
Answer: 8 is 10x bigger than 8 8 is 10x less than 8
Step-by-step explanation:
The ratio of working-age population to the elderly in the United States (including projections after 2000) is given by the function below, with t = 0 corresponding to the beginning of 1995.†
$$ f(t) = \left\{
\begin{array}{rcl}
4.1 & \mbox{if} & 0 \le t < 5\\
-0.03t+4.25 & \mbox{if} & 5 \le t < 15\\
-0.075t+4.925 & \mbox{if} & 15 \le t \le 35\\
\end{array}
\right. $$
(a) Sketch the graph of the function f. When sketching the function, make sure you pay attention to whether each section of the graph starts and ends with open or closed circle.
The graph of the function f. When sketching the function, make sure you pay attention to whether each section of the graph starts and ends with open or closed circle.
[tex]F(t)= \begin{cases}4.1 & 0 \leqslant t < 5 \\ -0.03 t+4.25 & 5 \leqslant t < 15 \\ -0.075 t+4.925 & 15 \leqslant t \leqslant 35\end{cases}[/tex]
Ratio[tex]$=f(9)=-0.03(9)+4.25=3.98$[/tex]
Year 2020 corresponds to t=25
Ratio [tex]$=f(25)=-0.075(25)+4.925=3.05$[/tex]
c. Ratio is constant when t lies in [0,5] ic., in the years [1995,2000]
A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output.
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At the beginning of a chemistry experiment, the volume of liquid in a container was 3.2 milliliters. During the experiment, the volume dropped to milliliters. Find the percent of decrease.
The percentage decrease is 43.75%
How to calculate the percentage?Initial volume = 3.2 millimeters
After experiment volume = 1.8 millimeters
Reduction = 3.2 - 1.8 = 1.4 millimeters
Therefore the percentage decrease will be:
= Reduction/Initial value × 100
= 1.4/3.2 × 100
= 43.75%
Therefore, the percentage decrease is 43.75%
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At the beginning of a chemistry experiment, the volume of liquid in a container was 3.2 milliliters. During the experiment, the volume dropped to 1.8 milliliters. Find the percent of decrease.
PLEASE HELP ME I NEED THIS ASAP!!!
Answer: 1. D=(7, 4)
2. D=(-2, -2)
3. D=(6, -4)
Step-by-step explanation:
1. point B goes to point C by moving right 6 units and moving down 2 units.
point A goes to point D by moving right 6 units and moving down 2 units.
A=(1, 6)
D=(1+6, 6-2)
D=(7, 4)
2. point B goes to point C by moving left 4 units and moving down 6 units.
point A goes to point D by moving left 4 units and moving down 6 units.
A=(2, 4)
D=(2-4, 4-6)
D=(-2, -2)
3. point B goes to point C by moving right 8 units and moving down 2 units.
point A goes to point D by moving right 8 units and moving down 2 units. A=(-2, -2)
D=(-2+8, -2-2)
D=(6, -4)
Which is an expression of degree 4 quadratic term with coefficient of 10.
Answer: think that it is four
Step-by-step explanation: but i don't know because i looked it up
A company has earnings before interest and taxes of $1,500,000, its tax rate is 40 %, interest is 30% of its total debt of $600,000, and lease payments are
$50,000. What is the company's times interest earned ratio?
3.8 times
8.3 times
O 5 times
4 times
The company's times interest earned ratio is 8.3 times
How to calculate the company's times interest earned ratio ?Company interest time ratio can be described as the measurement of how well an organisation is pay off their debts based on the amount of income generated by the company.
Company times interest ratio= earnings before interest/total debt × tax rate
= 1,500,000/600,000 × 0.30
= 1,500,000/180,000
= 8.3
Hence the company's times interest earned ratio is 8.3
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12. Which of the following is a false statement?
A. Natural numbers are closed under division.
B. Integers are closed under subtraction.
C. Even numbers are closed under multiplication.
D. Real numbers are closed under addition.
Answer:
A
Step-by-step explanation:
what does 2/5 divied by 3/4 equal
Answer: 8/15
Step-by-step explanation:
2/5 x 4/3 (fraction rule)
2 x 4 / 5 x 3
2 x 4 = 8
8 / 5 x 3
5 x 3 = 15
= 8/15
Chen says the product of 4x0 is the same as the sum of 4+0. Is Chen correct? Explain.
Answer:
No
Step-by-step explanation:
The product of zero and any number is zero. Basically, if you multiply any number with zero, you get zero. Hence, 4*0=0. However, anything added with zero is itself since you're basically not adding anything to that number. For example, nothing is being added to 4 in '4+0', so 4+0=4.
4*0=0
4+0=4
0[tex]\neq[/tex]4
mx=n+p ,for x
step by step aswell please
The solution for x from the linear equation is x=(n+p)/m .
Linear equation is a equation where the greatest degree of the variable is 1 in the equation.
A basic linear equation in the variable x is of the form ax+b =0 where b is a constant and a is the co-efficient of x.
To solve a linear equation for x we use the simple mathematical operations to make x the subject of the formula.
Given equation is:
mx=n+p
We have to find the value of x.
So we can see that the variable x has a constant co-efficient m
to make x the subject we divide both sides of the equation by m.
Therefore:
mx÷m=(n+p)÷m
or, x=(n+p)/m
So on solving the linear equation we get the value of x as (n+p)/m
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Lesson 4 multiplication pattern
70 x 500 =
Answer:
3500
Step-by-step explanation:
An easy way to solve this specific problem would be to multiply 7 and 5 together to get 35 and then add on the two zeros from 500 to get 3500. Or you can do the standard multiplication strategy.
Hope this helps!
Please help!
Let z=3. Evaluate the expression.
4z - 15
12
-3
28
3
Answer:
-3 is the answer because the variable Z represents 3. we have to multiply 4 by 3 which represents Z.
Step-by-step explanation:
= 4*3 - 15
= 12 - 15
= -3
Write the following expression using the fewest possible terms. (−4x − 15) + (17 + 7x)
Answer:
3x +2
Step-by-step explanation:
Write the following expression using the fewest possible terms.
(−4x − 15) + (17 + 7x) =
-4x -15 + 17 + 7x=
3x +2
Can somebody please help me
Answer:
Step-by-step explanation:
True or false every rational number is a real number
Answer: TRUE
Step-by-step explanation:
Yes, every rational number is a real number. All numbers go into the real number system, including rational numbers. So the answer is true.
Graph y = 5.
Answer??
Answer is in the image below . -
Can somebody help me if you know what this is
Answer:
-2.5, -7/3, |-2|
Step-by-step explanation:
-2.5 = -2.5
-7/3 = -2.333333333...
|-2| = 2
middle then first then last is least to greatest
HELP . Gilligan sees a ship coming close to the shore he's standing on. He wants to
determine the distance (segment SD) from the ship to the shore. He walks 130 ft along the shore from point D to point C and marks that spot. Then he walks 23 ft further and marks point B. He turns 90° and walks until his location (point A), point C, and point S are collinear. Answer the following questions making sure to show all your work.
(a) Can Gilligan conclude that triangle ABC and triangle SDC are similar? Why or why not?
(b) Suppose AB = 50 ft. What is the distance from the ship to the shore? Show all your work and round your final answer to the nearest tenth of a foot.
The distance (segment SD) from the ship to the shore and Gilligan sees a ship coming close to the shore he's standing on.
The triangles ABC and SDC are similar.
Gilligan may deduce that triangles ABC and SDC are comparable.
Gilligan may deduce that the ship's distance from the cost is 509 feet.
The triangles ABC and SDC are similar.
Gilligan may deduce that triangles ABC and SDC are comparable.
Gilligan may deduce that the ship's distance from the cost is 509 feet.
We may deduce from the question that points S, C, and A are collinear, whereas lines AB and SD are vertical and parallel lines on either side of point C.
As a result, Gilligan may deduce that triangles ABC and SDC are comparable.
How to Determine SD Distance
To do this, we employ the corresponding ratio shown below.
90 should be substituted for AB.
Calculate as a fraction
Make SD the topic.
As a result, Gilligan may deduce that the ship's distance from the land is 509 feet.
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En una región productora de citricos se Produce una
Fuente helada que daña la cosecha Y, como resultado, sube
el precio de la naranja ¿el precio de equilibrio del zumo
de la naranja subirá,bajará o se mantiene constante?
¿Y como se comportara to cantidad de equilibrio?
elabora un diagrama con los curvas de oferta y
demanda que explique tu respuesta.
Step-by-step explanation:
En una región productora de citricos se Produce una
Fuente helada que daña la cosecha Y, como resultado, sube
el precio de la naranja ¿el precio de equilibrio del zumo
de la naranja subirá,bajará o se mantiene constante?
¿Y como se comportara to cantidad de equilibrio?
elabora un diagrama con los curvas de oferta y
demanda que explique tu respuesta.
Members of a soccer team raised $2143.50 to go to a tournament. They
rented a bus for $888.50 and budgeted $62.75 per player for meals. Write
and solve an equation which can be used to determine x, the number of
players the team can bring to the tournament.
You start at (5, -2). You move up 2 units and left 10 units. Where do you end?
Based on the translation, your end position is (- 5, 0)
How to determine your end position?The given parameters are
Start position = (5, -2)
Navigation = You move up 2 units and left 10 units.
This can be represented as
(x, y) = (x - 10, y + 2)
So, we have:
End position = (5 - 10, -2 + 2)
Evaluate
End position = (- 5, 0)
Hence, your end position is (- 5, 0)
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The sum of 6 times a number is x and 10 is36 write and solve an equation to find the number x
Answer:
13
Step-by-step explanation:
what is 9/8 times 3/8