The equation Wendy must have solve is 14+2x = 54 - 6x Option D
What is a linear equation?A linear equation is an equation whose highest power of the variable is 1.
recall that equation is a mathematical statement showing that two opposite sides are equal
the equation can be solved as follows
14+2x = 54 - 6x
Collecting the like terms from the equation we have
2x+6x = 54 -14
This implies that
8x = 40
Making x the subject of the relation
Therefore x=40/8 = 5
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y = -5x - 21
-4x + y = 6 Solve each system of equations. Show all your work.
The solution of the system of equations:
y = -5x + 21-4x + y = 6is (-3, 6)
How to solve the system of equations?
Here we want to solve the system of equations below:
y = -5x + 21
-4x + y = 6
We can use the elimination method to solve this if we take the difference between the two equations, we will get:
y - (-4x + y) = -5x - 21 - 6
4x = -5x - 27
Now we can solve this for x.
4x + 5x = -27
9x = -27
x = -27/9 = -3
And the value of y is given by:
y = -5x - 21 (we need to evaluate that on x = -3)
y = -5*-3 - 21
y = 15 - 21 = 6
The solution is (-3, 6).
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Answer: Elimination : (-3,-6) Substitution : (5/3,38/3)
Step-by-step explanation: Elimination : y = -5x + 21;-4x + y = 6 y - (-4x + y) = -5x - 21 - 6 4x = -5x - 27 4x + 5x = -27 9x/9 = -27/9 x = -3 y = -5x - 21 y = (-5) (-3) - 21 y = 15 - 21 y = -6 (-3,-6) Substitution : y = -5x + 21;-4x + y = 6 −4x + −5x + 21 = 6 −9x + 21 - 21 = 6 - 21 -9x/-9 = -15/-9 x = 5/3 y = −5x + 21 y = −5 (5/3) + 21 (-25) (1) + (21) (3) / (3) (1) -25/3 + 63/3 y = 38/3 (5/3,38/3)
Find the one with ?.
Answer:
? is 59 degrees
Step-by-step explanation:
the two angles created by the intersecting lines are vertical angles and are equal
also, we know there are a total of 180 degrees in a triangle, so
180 - (21 + 49) = 100
this will help us find '?' because we can add 21 and 100, to get 121, then deduct 121 from 180 to get the value of ? which is 59
L
6cm
10cm
X
if the shaded area is 112 cm²,
then the length x in the figure is 口。
cm.
If the shaded area is 112 cm², then the length x in the figure is 7cm.
What is Area of Rectangle?The area of Rectangle is length times of width.
Split the shape into two rectangles:
then you have two areas:
x×10 and x×6
the shaded area is given as 112cm²
10x+6x=112
Add the like terms
16x=112
Divide both sides by 16
x=112/16
x=7 cm
Hence, if the shaded area is 112 cm², then the length x in the figure is 7cm.
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18. What is the equation for the relation? HELPPPPP
The line crosses the vertical axis at 400, so the equation has to be "C = something + 400".
If you pick any point and go up 100 and over 200, you get back on the line, so the slope is 100/200 or 1/2
Option C: C = 1/2 N + 400
Answer:
C. 1/2N +400
Step-by-step explanation:
So the 400 is reqiured in the equation as
x =0 , y= 400.
To find the slope you can do rise over run:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex] =
[tex]\frac{500-400}{200-0} =\frac{100}{200} =\frac{1}{2}[/tex]
The sum of double a number and six times a number is 48. Find the number. show your work
The equation is 2x + 6x = 48. Then the unknown number will be 6.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The sum of double a number and six times a number is 48.
Let the unknown number be 'x'. Then the equation is given as,
2x + 6x = 48
Simplify the equation, then the value of 'x' is given as,
2x + 6x = 48
8x = 48
x = 48 / 8
x = 6
The equation is 2x + 6x = 48. Then the unknown number will be 6.
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The four 6th grade math teachers decide they want to go to McDonald's
for lunch. They each order big mac for $3.99 and a drink. If they spent
$20.32, how much was each drink? Create an equation using distributive
property and solve.
Let x be the cost of each drink.
The total cost for all four teachers' meals can be represented using the distributive property:
4(3.99 + x) = 20.32
Expanding and solving for x:
15.96 + 4x = 20.32
Subtracting 15.96 from both sides:
15.96 -15.96 + 4x = 20.32 -15.96
4x = 4.36
Dividing both sides by 4:
x = 1.09
Hence, each drink cost $1.09
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John needs 23 boards to build rafters for his house. He can use 16-foot or 20-foot length boards. He needs seven fewer 16-foot boards than 20-foot boards. Write and solve a system of equations to determine how many of each board John needs
The equation which is required to solve how many of each board John needs is x + x - 7 = 23.
The number of 20-foot boards is 15.
The number of 16-foot boards is 8.
As per the given data, John needs 23 boards to build rafters for his house.
He can use 16-foot or 20-foot length boards.
He needs seven fewer 16-foot boards than 20-foot boards.
Here we have to determine how many of each board John needs.
Let the number of 20-foot boards be x.
Then the number of 16-foot boards be x - 7.
Total number of boards are 23.
Equation to determine how many of each board John needs:
x + x - 7 = 23
2x - 7 = 23
2x = 23 + 7
2x = 30
x = 15
The number of 20-foot boards are 15.
The number of 16-foot boards are x - 7
= 15 - 7
= 8
The number of 16-foot boards are 8.
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there are five boys to every six girls in an introductory geology course. if there are 374 students enrolled in the course, how many are boys?
The total number of boys enrolled in the course is 170.
Here are 374 children, are there are 5 boys to every 6 girls.
If the ratio of boys to girls is 5 to 6, then 5 out of every 11 students are boys and 6 out of every 11 students are girls.
Set up a proportion for the boys, where b = the total number of boys.
5/11 = b/374
11b = 1870
b = 1870/11
b = 170
There are 170 boys.
The total number of student is 374, so the number of girls, is 374 -b.
There are 374-170= 204 girls.
Finding a proportionality constant would be another algebraic solution to this issue. The total number indicated by the ratio is 5 + 6 or 11, which is equal to the total number of children when multiplied by the proportionality constant.
Let x = the proportionality constant
11x=374
x=34
The number of boys is 5x and the number of girls is 6x.
5x=5×34 =170 boys
6x=6×34 =204 girls.
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Which of the follow is a solution set for the following graph
The solution set for the given graph is (2,1). The solution has been obtained using linear equations.
What is a linear equation?
It is a linear equation that has the greatest degree of one. In a linear equation with an exponent greater than one, this indicates that there are no variables. A straight line is produced on the graph by this equation.
We are given two lines on the graph
The points of the red line are (3,0) and (0,3)
So, the equation of the line comes out to be
y=−x+3 ...(1)
The points of the blue line are (3,2) and (-1,-2)
So, the equation of the line comes out to be
y=x−1 ...(2)
To find the solution set, we need to solve the equations
Substituting (1) in (2), we get,
⇒−x+3 = x−1
⇒−2x = -4
⇒x = 2
So, y = 1
Hence, the solution set for the given graph is (2,1).
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I need 2 and example 3 please help I am desperate
The point at which the triangle's three interior angle bisectors intersect appears to be the incenter.
What is an incenter and it angles?The incenter of a triangle seems to be the point at which the triangle's three interior angle bisectors intersect. This point is equidistant from the triangle's sides.
∠ARU angle = 40°
AU length = 20°
∠QPA = 35°
A diagram is included here.
AR is the angle bisector of angle URK.
As a result, ∠ARU = ∠ARK = 40°.
Because the incenter point is equidistant from the triangle's sides.
As a result, AT = AU = AK = 20.
Because PA is the angle bisector of angle QPU.
As a result, ∠QPA = ∠UPA.
3x + 2 = 4x - 9
4x - 3x = 9 + 2
x = 11
Changing the value of x in the angle 3x + 2
We obtain ∠QPA = 3(11) + 2 = 35°.
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72
1
5
10
23
t(n)
1
-7
-17
What’s the t(n) for 4
N(u) = 4, where N is the function and u is the independent variable, is the function that is provided.
Find the solution ?The input values for a particular function are shown by the independent variable (x).An experiment involves controlling the independent variables while it is being conducted.
The results of the function are shown by the dependent variable (y). In an experiment, a variable that stands in for a variable being changed is known as an independent variable.As the independent variable in an equation, x is frequently employed as its symbol.
N(u) = 4, where N is the function and u is the independent variable, is the function that is provided.
Since u is no longer a variable, the value of the function N(u) is now a constant.
As a result, the N(u) function will always equal 4 for all values of the variable u, making it a constant function.
Thus, N(4) = 4. ( Answer )
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x = -2 graphed please!!!
see attachment..........
hope it helps<3
Work out the value of x.
Answer:
x = 4 . . . cm
Step-by-step explanation:
You want the measure of the segment CE from external point C to circle O, given several other dimensions of chords and segments in the circle.
Crossing chordsAs in the attachment, we can extend segment DO across the circle to make diameter DX. Then we can use the relation for chord lengths to find the radius of the circle (r).
Segments of crossing chords have the same product:
FA·FE = FD·FX
7·4 = 2·(2r -2) . . . . . use given segment values
14 = 2r -2 . . . . . . divide by 2
16 = 2r . . . . . . . add 2
r = 8 . . . . . . . divide by 2
The radius of the circle is 8 cm.
SecantsWe can also extend radius EO across the circle to make diameter EY, as shown in the attachment.
The relation involving the product of secant segments can be used to find x:
CE·CY = CB·CA
x(x +16) = 5(5+4+7)
x² +16x = 80 . . . . . . . . simplify
x² +16x +64 = 144 . . . . . . . add 64 to complete the square
(x +8)² = 12² . . . . . . . . . write as squares
x +8 = 12 . . . . . . . . positive square root
x = 4 . . . . . . . . subtract 8
The value of x is 4.
__
Additional comment
The attachment is accurately drawn.
You are throwing a party and you need 7 liters of soda for every 12 guests. If you have 90 guests, how many liters of soda do you need?
Using proportion, the number of liters of soda needed would be 52.5 liters.
How to Use Proportion to Solve Word Problem?Proportion can be described as an equation that relates two equal ratio to each other.
If you need 7 liters of soda for every 12 guests, and you have 90 guests, you can use the proportion:
7 liters / 12 guests = x liters / 90 guests.
To find the number of liters of soda you need, you can cross-multiply and solve for x:
12x = 7(90)
12x = 630
x = 630/12
x = 52.5
So, you need 52.5 liters of soda for 90 guests.
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a portion selected to represent the whole is called a a. survey. b. sample. c. census. d. population.
A sample is a section of the population that has been chosen to represent the entire population.
A sample is a subset of a larger group that has been chosen to represent the entire group. A sample is supposed to represent the entire population and not exhibit any bias or distinctions based on a particular feature. Samples are employed in experimental research when a population is too big and to make sure that every member of a population is equally monitored and chosen.
a limited portion of a statistical population whose characteristics are investigated to learn more about the overall
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in the 54th super bowl kansas city chiefs quarterback patrick machines completed 26 passes for 286 yards how many yards per completed pass did he average
The average number of yards per completed pass is 11.
What is the average number of yards per completed pass?In order to determine the number of yards per completed pass, divide the total yards completed by the total number of passes.
Division is the process of dividing a number into equal parts using another number. The sign used to denote division is ÷. Division is one of the basic mathematical operations.
Number of yards per completed pass = total number of yards / total number of passes = 286 / 26 = 11
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What is the length of line segment AB?
Answer:
7units
Step-by-step explanation:
7/10c=4 1/5 Solve for C
I need help quickly Pleasee
The volume of a pyramid with a base area of 15 square inches and a height of 7 inches will be 35 cubic inches.
What is the volume of the pyramid?Suppose the base of the pyramid has length = L units and width = W units, slant height = K units, and the height of the pyramid is of H units.
Then the volume of the pyramid will be
V = (L × B × H) / 3
V = (Base area x H) / 3
The volume of a pyramid varies jointly with the base area of the pyramid and its height.
The volume of one pyramid is 24 cubic inches when its base area is 24 square inches and its height is 3 inches.
Then the volume of a pyramid with a base area of 15 square inches and a height of 7 inches will be
V = (15 x7) / 3
V = 35 cubic inches
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Solve the iniquality below. Use the drop - down menus to describe the solution and it’s graph. -7x+13>41
Step-by-step explanation:
-13 on both sides
/ by -7 on both sides
flip the ineq sign bcus u divided by a negative
x < -5.86
What is the quotient of 154,504 divided by 28 with long division
5518 is the quotient of 154,504 divided by 28.
What is Division?A division is a process of splitting a specific amount into equal parts.
The quotient of 154, 504 divided by 28 is 5518 after applying the arithmetic operation.
Long division is a standard division algorithm suitable for dividing multi-digit Hindu-Arabic numerals that is simple enough to perform by hand.
Hence, 5518 is the quotient of 154,504 divided by 28.
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multiply (x+6)(x^2-3x-4)
The required Product of the given two expression is x³ - 9x² - 22x - 24.
What is multiplication of two expression?The process of multiplying two provided expressions made up of variables and constants is known as the multiplication of algebraic expressions. An expression that uses integer constants and variables together is called an algebraic expression.
According to question:We have given,
(x+6)(x²-3x-4)
= x(x²) - x(3x) - 4x + 6x² - 6(3x) - 24
= x ³ - 3x² - 4x - 6x² - 18x - 24
= x³ - 9x² - 22x - 24
Thus, required product of the given two expression is x³ - 9x² - 22x - 24.
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The two expression given has a necessary Product of x3 - 9x2 - 22x - 24.
What does a two-fold phrase mean?Algebraic expression multiplication is the operation of multiplying two supplied expressions made consisting of variables and constants.Algebraic expressions combine variables and integer constants to form sentences.The information that we have provided,(x+6)(x²-3x-4)= x(x²) - x(3x) (3x) - 4x + 6x² - 6(3x) - 24= x ³ - 3x² - 4x - 6x² - 18x - 24= x³ - 9x² - 22x - 24As a result, the required product of the two expressions supplied is x3 - 9x2 - 22x - 24.To learn more about multiplication refer::
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Which of the following graphs is described by the function given below?
y=x²-4x-12
-20
18
A. Graph A
B. Graph B
C. Graph C
D. Graph D
jy v
-20
SUBMIT
Answer:
Step-by-step explanation:
grew graph B for graph A
a bakery needs to make 10 batches of bagels before opening in 6 hours ech batch of bagels takes 3/4 of an hour to make will the bakery have enough time to bake 10 bagels
The bakery will not have enough time to bake 10 batches of bagels in 6 hours.
What is Multiplication?Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.
Given that,
There is a time limit of 6 hours to make 10 batches of bagel.
Time needed to make 1 batch of bagel = 3/4 hour
Time needed to make 10 batches of bagel = 10 × (3/4)
= 30 / 4
= 7.5 hours
Hence at least 7.5 hours is needed to make 10 batches of bagel.
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A student weighs 565 N, She climbs 3. 25m vertically up a flight of stairs. It takes her 12. 6 s what is her power output?
The work done by student is 145.9 W.To calculate the work done by the student:
Work = Force x Distance = 565 N x 3.25 m = 1841.25 J
Calculate the power output:
Power = Work/Time = 1841.25 J/12.6 s = 145.9 W
Power is the quantity of energy that is transported or transformed per unit of time in physics. The watt, or one joule per second, is the unit of power in the International System of Units. Power is also referred to as activity in ancient writings. A scalar quantity is power.
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The Mccay's purchase a home in a flood zone for $265,00.
Unfortunately, due to location the house depreciates in value by
2. 5% per year. What will the value of the house be in 5 years?
Round to the nearest cent
If Mccay purchased a home in a flood zone for $26500 , and the value depreciates by 2.5% , then the value of house after 5 years will be $23349 .
the current value of Mccay's house is = $26500 ;
the percent decrease in the value of the house is = 2.5% per year ;
let the number of years be = "n" years ;
we know that 2.5% is = 0.025 ;
the Depreciated Value(V) of the house can be written as :
V = 26500(1 - 0.025)ⁿ ;
to find the value of house after 5 years we substitute n = 5 ;
V = 26500(0.975)⁵ = 23349.035
V = 23349 .
Therefore , the value of the house after 5 years will be $23349 .
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Please help me ASAP please please please
The quadrilateral is parallelogram because the opposite sides are parallel and congruent
What is a parallelogram?
A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length, and the opposite angles are equal in measure. Also, the interior angles on the same side of the transversal are supplementary. The Sum of all the interior angles equals 360 degrees.
Since WZ and XY are congruent and XW and YZ are congruent and Also, WZ and XY are parallel and XW and YZ are parallel, we can therefore say that the quadrilateral obeys the property of a parallelogram.
parallel lines are two straight lines that can not meet at a point.
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Select the correct answer. Given: Prove: Two parallel lines passing the vertices with red line r at points (c, d) at (2, 10) and (O, b) at (0, 6) and blue line s intercepts (c, O) at (2, 0) and (O, a) at (0, minus 4) Statements Reasons 1. given 2. application of the slope formula 3. distance from to equals the distance from to definition of parallel lines 4. application of the distance formula 5. substitution property of equality 6. inverse property of addition 7. substitution property of equality The table and corresponding image show the proof of the relationship between the slopes of two parallel lines. What is the missing statement in step 2? A. B. C. D.
Answer: its A
Step-by-step explanation:
Answer:
step 6
Step-by-step explanation:
Write the pair of fractions as a pair of fractions write a common denominator 1/8 and 2/6
Imagine that you are a tudent in your final year at an alternative chool. Write a pot for your chool blog about your experience at the chool. Write around 200-300 word.
This post is about the author's experience at an alternative school, which they have been attending since freshman year. They have had the opportunity to explore their interests and develop their own unique learning style with the support of teachers. The atmosphere of the school is friendly and encouraging and the author is very grateful for the experience they have had. They recommend the school to anyone looking for an alternative learning experience.
My name is _________, and I'm a senior at an alternative school. I've been attending this school since my freshman year, and it has been an amazing experience.
At this school, I've been able to explore my interests and develop my own unique learning style. The teachers are supportive and caring, and they encourage students to actively participate in their education. I've had the opportunity to take classes that I'm passionate about and have even been able to design my own coursework.
The atmosphere of the school is also a great one. Everyone is friendly and willing to help each other out. There's no judgement or pressure. We all come from different backgrounds, but that doesn't stop us from working together and having a great time.
I'm so grateful for the experience I've had at this school. It has been an incredible journey, and I am so proud of what I have accomplished. I have grown so much as a person and have had so many opportunities to explore my interests.
I would highly recommend this school to anyone looking for an alternative learning experience. It has been a great place to learn, and I will miss it when I graduate.
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