Values of x y z for system of equation are
x=[tex]\frac{565}{54}[/tex]
y=[tex]\frac{703}{54}[/tex]
z=[tex]\frac{-23}{6}[/tex]
we have system of equation as follows
x + 2y+3z = 25
z=(25-x-2y)/3..........(A)
3x - 3y + 4z = -23
z=(3y-3x-23)/4........(B)
-4x+y-z = -25
z=(25-4x+y)..............(C)
Equating we get
(25-x-2y)/3=(3y-3x-23)/4=(25-4x+y)
Solving this we get
x=[tex]\frac{565}{54}[/tex]
y=[tex]\frac{703}{54}[/tex]
z=[tex]\frac{-23}{6}[/tex]
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Fill in the blanks
A=P e rt is known as the ______ formula.
A=P e rt is known as the continual" growth formula.
What is a PE RT formula?
A = PRT, where "A" is the ending amount, "P" is the beginning amount (principal, in the case of money), "r" is the growth or decay rate (represented as a decimal), and "t" is the time (in whatever unit was used on the growth/decay rate), is the equation for "continual" growth (or decay).
What is the purpose of a PE RT?
Often referred to as a PERT diagram, a PERT chart is a project management tool used to plan, schedule, and coordinate tasks within a project. Project managers can deconstruct each individual activity in the project for analysis since it provides a graphical depiction of the project's timeline.Learn more about continual" growth
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a savings account recieves 12% simple interest p.a. how long would it take for £30000 to gain £7200 in interest
Answer:
2 years
Step-by-step explanation:
I= PRT/100
I=£30000 x 12 x 1 /100 =£3600
Since the interest for one year is £3600, the interest for two years is £3600x2 =£7200
8 (2/3) divided by (-104/33)
Answer:
-2 3/4.
Step-by-step explanation:
8 2/3 = 26/3
26/3 / -104/33
= 26/3 * 33/-104
= 1 /3 * 33/-4
= 1/1 * 11/-4
= -11/4
= -2 3/4.
Let g(x)=6-4 x
b. What is the inverse of g ?
Answer:
g-1(x)=-1/4x+3/2
Step-by-step explanation:
The sum of two numbers is 56 and the difference is 24. What are the numbers?
Answer:
16 and 40Step-by-step explanation:
The sum of two numbers is 56 and the difference is 24. What are the numbers?
remove the difference from the sum and divide by two, you have the first number, add the difference to the first number and you will have the second number
(56 - 24) : 2 =
32 : 2 =
16 (1st number)
16 + 24 =
40 (2nd number)
which of the following is an irrational number?
A) square root of 18
B) square root of 49
C) 3.8
D) 3/10
A. √18 is an irrational number.
Answer:
A.
Step-by-step explanation:
√18 (= 4.242640687.....)
The decimals go on without bounds.
Given congruent triangles ΔABC and ΔMNL, which of the following are corresponding parts? Check all that apply.
∠A and ∠L
AB and MN
∠C and ∠M
AC and LN
∠B and ∠N
CB and LN
ANSWERS!!!!! B,E,F or 2,5,6
Given congruent triangles ΔABC and ΔMNL, the corresponding parts or sides include the following:
Line segments AB and MN.Line segments B and N.Line segments CB and LN.What is a line segment?A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length (numerical value).
Corresponding parts of two congruent figures.In Mathematics, two geometric figures are considered to be congruent only when their corresponding side lengths are congruent and the magnitude of their angles are congruent.
Given congruent triangles ΔABC and ΔMNL, the corresponding parts or sides include the following:
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Answer:
Step-by-step explanation:
WHOLE NUMBERS GREATER THAN 12 BUT LESS THAN 25
Answer:
13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24
What is the EXPRESSION after applying the distributive property?
-0.4 (-2 + (-9))
30 points
A grocery store sells 6 oranges for $2. The cost of the oranges varies directly with the number of oranges.
The answer will be y =2
x and y graph also known as the x and y-axis are two important lines that make a graph. A graph consists of a horizontal axis and a vertical axis where data can be represented. A point can be described in a horizontal way or a vertical way, which can be easily understood using a graph. These horizontal and vertical lines or axis in a graph are the x-axis and y-axis respectively.
A x and y graph can be defined by the two axes i.e. x-axis and the y-axis that form a coordinate plane for a graph. The horizontal axis is represented by the x-axis and the vertical axis is represented by the y-axis. The point where the x and y-axis intersect is known as the origin and is used as the reference point for the plane.
y = 1/3x
when x =0
y = 0
when x =3
y = 1/3×3 = 1
when x=6
y=1/3×6= 2.
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Two makes a necklace of Z wooden beads at $0.50 each and 6 glass beads at $1.25 each. The average cost of the beads in the necklace is $0.75. Choose an equation to model the situation
The equation model the situation is mathematically given as
(0.5x + 7.5) = 0.75(x + 6)
This is further explained below.
What is an equation to model the situation?Generally, the cost of the beads in a necklace is mathematically given as
0.50x + 6*1.25 = 0.5x + 7.5 dollars
Therefore
There are a total of x + 6 beads. Due to the fact that 0.75 is the typical cost of the beads,
[tex]\frac{0.5 x+7.5}{x+6}=0.75[/tex]
0.5 x+7.5=0.75(x+6)
In conclusion, The solution for x may be obtained as follows:
0.5x + 7.5 = 0.75x + 4.5
-0.25x = -3
x = -3/-0.25
x= 12
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NOTE; This is a complete question, with no given option, even on the internet.
A cooler contains eleven bottles of sports drinks: three lemon-lime flavored, five orange-flavored, and three fruit-punch flavored. You randomly grab a bottle. It is a lemon-lime or a fruit punch..
The probability of grabbing a lemon-limbed or a fruit punch bottle from the cooler is 6/11.
What is 'AND' and 'OR' statements in probability?'AND' represents multiplication and 'OR' represents addition.
The total number of bottles of sports drinks which is also our sample space
N(S) = 11.
The number of lemon-lime flavored bottles [tex]N(L_l)[/tex] = 3.
The Number of fruit punch flavored bottles [tex]N(F_p)[/tex] = 3.
So, the probability of grabbing a lemon-lime bottle [tex]P(L_l)[/tex] = [tex]\frac{N(L_l)}{N(S)}[/tex] = 3/11.
And, the probability of grabbing a fruit punch bottle [tex]P(F_p)[/tex] = [tex]\frac{N(F_p)}{N(S)}[/tex] = 3/11.
∴ The probability of grabbing a lemon-lime or a fruit punch bottle is the sum of the probability [tex]P(L_l) + P(F_p)[/tex].
= 3/11 + 3/11.
= 6/11.
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Simplify 2.5p(2 - 0.5p) you please!!!
The simplified answer is 5p - 1.25p²
what is expression?
An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.
Given:
2.5p(2 - 0.5p)
Now solving further
2.5p * 2 - 2.5p (0.5p)
5p - 1.25p²
Hence, the simplified answer is 5p - 1.25p².
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chloe is 5 feet 4 inches tall. there are 2.54 centimeters in 1 inch. what is chloe's height in centimeters?
Answer:
162.56 centimeters
Step-by-step explanation:
60 inches + 4 inches = 64 inches
1 inch =
2.54 centimeters
64 inches = 162.56 centimeters
Which graph represents a function?
Answer:
The 4th Option
Step-by-step explanation:
For a graph to be a function, it must not be broken up at any point (as in Option 3) and there can be no points that overlap each other vertically (as in Options 1 and 2). So, the only option that is continuous and with no overlapping points is Option 4.
abc is right angled triangle at a then cosine angle b sine angle c equals
abc is right angled triangle,
A triangle in which one of the interior angles is 90° is called a right angled triangle.
The longest side of a right triangle, which is also the side opposite the right angle, is the hypotenuse.The two arms of the right angle triangle are the height and the base.According to the diagram 'ab' is the height or perpendicular 'ac' is the base and 'bc' is the hypotenuse of the triangle.
Sin θ = [tex]\frac{perpendicular}{hypotenuse}[/tex]
Cos θ = [tex]\frac{base}{hypotenuse}[/tex]
Tan θ = [tex]\frac{perpendicular}{base}[/tex]
Cosine angle at b will be represented as Cos b = [tex]\frac{base}{hypotenuse}[/tex] = [tex]\frac{ab}{bc}[/tex]
the base considered for the angle at 'b' will be 'ab' since Cosine uses the base attached to the angle.
Sine angle at c will be represented as Sin c = [tex]\frac{perpendicular}{hypotenuse}[/tex] = [tex]\frac{ab}{bc}[/tex]
the perpendicular considered for the angle at 'c' will be 'ab' since Sine uses the perpendicular which lies opposite to the angle considered.
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Put the numbers in order from greatest to least. (photo down below)
Answer: 1 1/2> 5/4> 100%> 7/10> 0.25
Step-by-step explanation:
1 1/2= 1.50
5/4= 1.25
0.25
7/10= 0.70
100%= 1
1.50>1.25>1>0.70>0.25
HELP ITS DUE TOMORROW PLSS HELPP
2 is 4/6, 8/12
3 is 2/4, 4/8
4 is 8/10, 16/20
5 is =
6 is >
7 is >
8 is =
9 is =
10 is <
11 is =
12 is >
B. Joshua found out that there is a $25 nonrefundable equipment fee
in addition to
How does this requirement change the
the hourly rates.
mathematics of the situation?
Answer:
$25 is a fixed number, cannot be increased, decreased or deleted.
Step-by-step explanation:
In the situation, the math are modified by the fixed value of $25, which should be a addition to the variable term in the proper math expression.
26=6(5-a)
What is a
Answer:
2/3
Step-by-step explanation:
Simplify
[tex]26=6\cdot \left(5-a\right)\\26=6\cdot 5+6\cdot -a\\26=30+6\cdot -a\\26=30+\left(6\cdot -1\right)a\\26=30-6a\\30-6a=26[/tex]
Group constants
[tex]30-6a=26\\30-6a-30=26-30\\-6a+30-30=26-30\\-6a=26-30\\-6a=-4\\[/tex]
Isolate the term, a
[tex]-6a=-4\\\frac{-6a}{-6}=\frac{-4}{-6}\\\frac{6a}{6}=\frac{-4}{-6}\\a=\frac{-4}{-6}\\\\\frac{-a}{-b} = \frac{a}{b}\\\\a=\frac{4}{6}\\a=\frac{2\cdot 2}{3\cdot 2}\\a=\frac{2}{3}[/tex]
4. Function f is defined by f(x) = 2x - 7 and g is defined by g(x) = 5*.
a. Find f(3), f(2), f(1), f(0), and f(-1).
1325104
b. Find g(3), g(2), g(1), g(0), and g(-1).
The values of the function f and g are -1, -3, -5, -7, -9 and 15,10,5,0,-5.
According to the statement
We have to find that the values of the function.
So, For this purpose, we know that the
The function is an expression that defines a relationship between one variable and another variable.
From the given information:
The functions are:
f(x) = 2x - 7 and g is defined by g(x) = 5x.
And Find f(3), f(2), f(1), f(0), and f(-1) and Find g(3), g(2), g(1), g(0), and g(-1).
Then
f(x) = 2x - 7
f(3) = 2(3) - 7 = 6 - 7 = -1.
f(2) = 2(2) - 7 = 4 - 7 = -3.
f(1) = 2(1) - 7 = 2 - 7 = -5.
f(0) = 2(0) - 7 = 0 - 7 = -7.
f(-1) = 2(-1) - 7 = -2 - 7 = -9.
And then
g(x) = 5x
g(3) = 5(3) = 15.
g(2) = 5(2) = 10.
g(1) = 5(1 ) = 5.
g(0) = 5(0) = 0.
g(-1) = 5(-1) = -5.
So, The values of the function f and g are -1, -3, -5, -7, -9 and 15,10,5,0,-5.
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Simplify m7m-4.
Please! ASAP!
Answer:
A. M^3
Step-by-step explanation:
Answer:
[tex]m^3[/tex]
Step-by-step explanation:
We can subtract the exponent 4 from the exponent 7.
Therefore,
[tex]m^{7-4}[/tex] is the answer
Then we simplify:
[tex]m^3[/tex] is our final answer.
Hope this helped!
How do I graph y+4=5x?
To graph a linear equation, including the function y + 4 = 5 · x, we needed to rewrite the equation into its explicit form, mark two distinct points on a Cartesian plane and pass a line through them. The result is presented in the image attached below.
How to graph a linear equationHerein we find a linear equation in a non-canonical form and to which we are asked to graph. According to geometry, lines can be created by knowing the location of two distinct points on Cartesian plane. The detailed procedure is now shown.
First, clear the variable y to obtain the explicit form of the linear equation:
y = 5 · x + 4
Second, look up for two distinct points on Cartesian plane by evaluating the expression at distinct values of x:
x = 0
y = 5 · 0 + 4
y = 4
x = 1
y = 5 · 1 + 4
y = 9
The points (0, 4) and (1, 9) lie on the line.
Third, mark the coordinates of the two points and pass a line through them.
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what is the missing number 8X(_+7)=96
[tex]8(x + 7) = 96 \\ 8x + 56 = 96 \\ 8x = 96 - 56 \\ 8x = 40 \\ x = \frac{40}{8} \: \: \: \: \: so \: \: \: \: x = 5[/tex]
Answer:
5
Step-by-step explanation:
If im seeing this correctly, its 8(?+7) =96
if you put 5 instead of the ?
It will equal 12.
12×8 =96
2. Solve the inequality -5/2(3x − 2) < 6 − 2x.
For full credit, you will need to show and explain
every step. You may add more lines if you need them.
Steps/Work Explanation
Picture provided
The solution to the inequality is x >-2/11
How to solve the inequality?The inequality is given as
-5/2(3x − 2) < 6 − 2x.
Multiply through by 2
So, we have
-5(3x − 2) < 12 − 4x.
Open the brackets
So, we have
-15x + 10 < 12 − 4x.
Evaluate the like terms
So, we have
-11x < 2
Divide by -11
x >-2/11
Hence, the solution to the inequality is x >-2/11
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Factor each expression. x²-6 x+8
We will use factorization for the given equation. The factors of the expression x²-6 x+8 are x = 2, x = 4
What is factorization?Writing a number or other mathematical object as the result of numerous factors—typically smaller or simpler objects of the same kind—is known as factorization or factoring in mathematics. For instance, the polynomial x2 - 4 and the number 15 may both be factored using the formula 3 × 5.
Given,
x²-6 x+8
Using factorization,
x² -4x - 2x + 8
⇒ x(x - 4) - 2(x - 4)
⇒ (x-2) (x-4)
⇒ x = 2, x = 4
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What value of p makes this equation true?
p3−5=4
Drag and drop the number that correctly completes the equation
Answer:
27
Step-by-step explanation:
if p is 27 and 27 /3 =9 and 9-5=4 that means the answer is 27
Answer: yea its 27
Step-by-step explanation:
For many years after the war, various individuals and groups sought compensation for the internees. The speed of the evacuation forced many homeowners and businessmen to sell out quickly; total property loss is estimated at $1.3 billion, and net income loss at $2.7 billion (calculated in 1983 dollars based on the Commission investigation below).
The Japanese American Evacuation Claims Act of 1948, with amendments in 1951 and 1965, provided token payments for some property losses. More serious efforts to make amends took place in the early 1980s, when the congressionally established Commission on Wartime Relocation and Internment of Civilians held investigations and made recommendations. As a result, several bills were introduced in Congress from 1984 until 1988, when Public Law 100-383, which acknowledged the injustice of the internment, apologized for it, and provided for restitution, was passed. –Documents from the National Archives: Internment of Japanese Americans According to this source, what was the result of the commission?
Check all that apply.
A. The internees did not seek compensation at any point after the war.
B.Payments were made after the 1940s.
C. In the 1980s, a commission held investigations and made recommendations.
D.Nothing resulted from the commission’s findings, and the matter was dropped.
The result of the Commission on Wartime Relocation and Internment of Civilians was C. In the 1980s, a commission held investigations and made recommendations.
What was the Commission on Wartime Relocation and Internment of Civilians?The Commission on Wartime Relocation and the Internment of Civilians reviewed details surrounding the forced relocation and the internment of "aliens."
The commission discovered that the internment badly impacted American citizens and permanent resident aliens.
The commission recommended the payment of compensation to those who suffered the War Relocation.
Thus, the result of the Commission on Wartime Relocation and Internment of Civilians was Option C.
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What is the slope of the line on the graph?
Enter your answer in the box
Answer:
Step-by-step explanation: the answer is D. because all of the oher choices don't make sense obviously.
-32x-2 pls help i know i should know this
Answer:
Step-by-step explanation:
64
Answer: -2 (16x + 1)
Step-by-step explanation: