Therefore , the solution of the given problem of equation comes out to be (1, -4) is a solution to the equation 4x - 2y = 12.
How do equations work?The equivalent sign (=) is used in arithmetic equations to signify the equality of two propositions. It is shown that it is possible to compare various numerical factors by using mathematical techniques, which have served as manifestations of reality. For instance, the equal sign divides the number 12 even the solution y + 6 = 12 in two distinct portions. How many characters also are present from either end of such a character can be calculated. Conflicting symbol readings are prevalent.
Here,
To find the values of missing entries, we can pick any arbitrary value of x and solve for y. Let's take x=1.
4(1) - 2y = 12
Simplifying the equation, we get:
-2y = 8
Dividing both sides by -2, we get:
y = -4
So, when x=1, y=-4. Therefore, the missing entries in the table are (1, -4).
Using this value, we can also check that the equation 4x - 2y = 12 is satisfied:
4(1) - 2(-4) = 4 + 8 = 12
So, (1, -4) is a solution to the equation 4x - 2y = 12.
To know more about equation visit:
https://brainly.com/question/649785
#SPJ1
(2x³-x + 1) / (x² + x + 1)
Answer:
Hopefully this is the answer you are looking for.
41 is what percent of 120
Answer: Approximately 34.17%.
Step-by-step explanation: Let's divide 41 by 120. Doing so, we get 0.3466666 looping forever. We can simplify that to .3417, and then turn that into a percentage giving us 34.17%
Return on Total Assets
A company reports the following income statement and
balance sheet information for the current year:
Net income
Interest expense
Average total assets
$386,760
68,250
5,230,000
Determine the return on total assets. If required, round
the answer to one decimal place.
6, Incorrect
The return on total assets (ROTA) can be calculated using the formula:
ROTA = Net Income / Average Total Assets
Using the given information, we have:
ROTA = $386,760 / $5,230,000 = 0.0739 or 7.39%
Therefore, the return on total assets for the company is 7.39%. Note that this answer is rounded to two decimal places.
classify the following as point , line , and or plane ________1 Corner of a Vaccinatopn room ________2 Face mask ________3 Long chain of children for pediatric vaccination
1. Point - Corner of a Vaccination room
2. Plane - Face mask
3. Line - The long chain of children for pediatric vaccination
What are points, lines, and planes:Point:
A point is represented as a "dot" on paper. There will be no length, width, or height existing for a point. It simply identifies a certain position. Zero dimensions apply to it.
Line:
The line is a one-dimensional shape in geometry. A line, thus, has length but neither width nor height. In any direction, a line never stops. Two end points of lines act as the fundamental determinants of a line.
Plane:
The coordinate plane, which is used to plot points in algebra, is an example of a plane. The number lines on the coordinate plane stretch eternally from left to right and from up to down, respectively. The coordinate plane cannot be seen entirely.
Here we have
Corner of a Vaccination room, Face mask, The long chain of children for pediatric vaccination
Where
The corner of a Vaccination room represents a point.
Face mask represents a plane
The long chain of children for pediatric vaccination represents a line.
Therefore,
1. Point - Corner of a Vaccination room
2. Plane - Face mask
3. Line - The long chain of children for pediatric vaccination
Learn more about Planes at
https://brainly.com/question/17608790
#SPJ1
Unexpected expenses have come up, and you want a cash advance on your credit card (which comes with a transaction fee of 2.5%). The limit on your credit card is $7,500, and you already have a balance of $2,200. What is your available credit? How much will you owe as a transaction fee if you want a cash advance on your available credit??
Please answer correctly and explain your answer…
To calculate your available credit, you need to subtract your current balance and the amount of cash advance you want from your credit limit:
Available credit = credit limit - current balance - cash advance amount
Given that your credit limit is $7,500 and your current balance is $2,200, the available credit can be calculated as follows:
Available credit = $7,500 - $2,200 - cash advance amount
Now, if you want a cash advance of $1,000, for example, your available credit will be:
Available credit = $7,500 - $2,200 - $1,000 = $4,300
Therefore, your available credit is $4,300 if you want a cash advance of $1,000.
To calculate the transaction fee, you need to multiply the cash advance amount by the transaction fee percentage. In this case, the transaction fee is 2.5%. So, if you want a cash advance of $1,000, the transaction fee will be:
Transaction fee = $1,000 x 0.025 = $25
Therefore, if you want a cash advance of $1,000, you will owe a transaction fee of $25. It's important to note that cash advances usually come with a higher interest rate than regular credit card purchases, so it's best to use them only when absolutely necessary and pay them off as soon as possible to avoid accruing interest charges.
Antonio has 3 different colored shirts, he wants to share them with his 2 brothers. How many times can all 3 boys trade shirts without wearing them twice?
Answer:
6 times
HOPE THE ANSWER HELPS
(a) Select each constant that is definitely positive.
(b) Select each constant that is definitely between 0 and 1.
(c) Select each constant that could be between 0 and 1 or is definitely between 0 and 1.
(d) Which two of these constants are definitely equal?
(e) Which one of the following pairs of constants could be equal?
The variable which is always positive will be a, b, c, d, p, and q. The constant that lies between 0 to 1 will be 'b'. And the two constants that are definitely equal will be 'a' and 'c'.
What is an exponent?Let 'a' is the leading coefficient and 'b' is the factor.
The exponent is given as,
y = a(b)ˣ
Some points regarding the exponent function:
If the value of 'b' is greater than one, then the graph will be increasing in nature.If the value of 'b' is less than one, then the graph will be decreasing in nature.If the value of 'b' is equal to one, then the graph will be constant in nature.If 'a' is positive, the graph will be above the line.If 'a' is negative, the graph will be below the line.If 'a' is the same for two exponent equations, then the graph has the same y-intercept.The variable which is always positive will be a, b, c, d, p, and q. The constant that lies between 0 to 1 will be 'b'. And the two constants that are definitely equal will be 'a' and 'c'.
More about the exponent link is given below.
https://brainly.com/question/5497425
#SPJ1
Pls help solve this math
The constant of proportionality (k) for the graph is 11.7.
The proportional equation for the graph is y = 11.7x.
What is a proportional relationship?In Mathematics, a proportional relationship can be defined as a type of relationship that generates equivalent ratios and it can be modeled or represented by the following mathematical expression:
y = kx
Where:
x and y represents the variables or data points.k represents the constant of proportionality.Next, we would determine the constant of proportionality (k) for money earned per hour as follows:
Constant of proportionality, k = y/x
Constant of proportionality, k = 35.1/3 = 81.9/7
Constant of proportionality, k = 11.7.
Therefore, the required equation is given by:
y = kx
y = 11.7x
Read more on proportional relationship here: brainly.com/question/28350476
#SPJ1
Can someone please help.
The sinusoidal function is y = 2sin(2x) - 1
How to determine the sinusoidal functionThe general form of a sinusoidal function is given by:
y = A sin(Bx + C) + D
where:
A is the amplitudeB is the frequencyC is the phase shiftD is the vertical shiftWe know that the period is π and the amplitude is 2.
So, we have
A = 2
B = (2π)/(π) = 2
So, we have
y = 2sin(2x + C) + D
The point (-11π/4, 1) implies that, the function is shifted down by 1 unit
So, we have
y = 2sin(2x) - 1
Hence, the function is y = 2sin(2x) - 1
Read more about trigonometry functions at
https://brainly.com/question/24349828
#SPJ1
Determine if the statement is true or false. Construct an argument that can be used to defend your solution.
An exterior angle of a triangle will always be obtuse.
The statement "an exterior angle of a triangle will always be obtuse" is actually false.
Why it is?
An exterior angle of a triangle is formed by extending one of the sides of the triangle, and it is the angle between that extended side and the adjacent side of the triangle.
The measure of an exterior angle is equal to the sum of the measures of the two interior angles that are not adjacent to it.
Now, consider a triangle with interior angles of 70, 60, and 50 degrees. If we extend the side opposite the 70-degree angle, we get an exterior angle of 110 degrees. However, 110 degrees is not obtuse, since an angle is obtuse if and only if it is greater than 90 degrees. Therefore, we have shown that an exterior angle of a triangle does not always have to be obtuse.
In summary, the statement "an exterior angle of a triangle will always be obtuse" is false, and we have provided a counterexample to show why this is the case.
To know more about triangle related question visit:
https://brainly.com/question/2773823
#SPJ1
Can you help me find the point of intersection for the question in the picture attached?
Answer:
The ordered pair that is a solution is (2, 10)
Step-by-step explanation:
2x + 6 = 4x + 2 Subtract 2x from both sides
2x - 2x + 6 = 4x - 2x + 2
6 = 2x + 2 Subtract 2 from both sides
6 - 2 = 2x + 2 -2
4 = 2x Divide both sides by 2
2 = x
Substitute 2 for x in either of the two original equations.
y = 2x + 6
y = 2(2) + 6
y = 4 + 6
y = 10
The ordered pair that is a solution is (2, 10)
Sampling considerations. A statistics class has 10 graduate students and 40 undergraduate students. You want to randomly sample 10% of the students in the class. One graduate student and four undergraduate students are selected at random. Which of the following is not correct? and why?
(a) Because each student has a 10% chance of being selected, this is a simple random sample.
(b) Because each sample includes exactly one graduate student and four undergraduate students, this is not a random sample.
(c) It is possible to get a sample that contains only graduate students.
(d) It is possible to get a sample that contains only undergraduate students.
The option that is incorrect is option (b) Because each sample includes exactly one graduate student and four undergraduate students, this is not a random sample.
Simple random sample:A simple random sample is a type of probability sampling method used in statistics, where each member of a population has an equal chance of being selected for the sample.
In other words, in a simple random sample, every possible sample of a given data will have has an equal probability of being selected from the population.
Here we have
A statistics class has 10 graduate and 40 undergraduate students.
We want to randomly sample 10% of the students in the class.
Even though one graduate student and four undergraduate students are selected at random, the percentage selecting both categories is the same.
Hence, this is a simple random sample.
Therefore,
The option that is incorrect is option (b) Because each sample includes exactly one graduate student and four undergraduate students, this is not a random sample.
Learn more about Simple random sample at
https://brainly.com/question/13219833
#SPJ1
Please Answer Quick!!
Therefore , the solution of the given problem of graph comes out to be
option c is correct it shows an association of the distribution of different mode of transportation among the same age of group.
What is graph ?Academics use graphs to visually represent or chart happenings or quantities in a logical manner. The interaction between a number of objects is frequently represented by a graph point. A graph is a non-linear storage structure made up of nodes, also known as vertices, and edges. The vertices, sometimes referred to as nodes, should be joined together with glue. Vertex numbers in this graph are 1, 2, 3, or 5, while edge numbers are 1, 2, 1, 3, 2, 4, etc. (2.5). (3.5). (4.5). (4.5). (4.5).
Here,
Given : A graph having choices of adult , child , teen and senior mode of transportation ,
In different age the mode of transportation preferred by among the same ages .
Thus ,
it shows an association of the distribution of different mode of transportation among the same age of group.
So , option c is the correct answer.
To know more about graphs visit:
https://brainly.com/question/11950136
#SPJ1
In AOPQ, p = 6.3 cm, m/O=149° and m/P=29°. Find the length of q, to the nearest
10th of a centimeter.
The length of q is approximately is 0.4 cm.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
To solve for the length of q in triangle AOPQ, we can use the law of sines, which states:
a/sin A = b/sin B = c/sin C
where a, b, and c are the lengths of the sides opposite the angles A, B, and C, respectively.
In triangle AOPQ, we know that:
Side p = 6.3 cm (opposite angle P)
Angle O = 149° (opposite side q)
Angle P = 29° (opposite side p)
Let use angle sum property of triangles to find the measure of angle Q:
Angle Q = 180° - Angle O - Angle P
Angle Q = 180° - 149° - 29°
Angle Q = 2°
Now we can use the law of sines to solve for the length of q:
q/sin Q = p/sin P
q/sin(2°) = 6.3/sin(29°)
q = sin(2°) × (6.3/sin(29°))
q=0.034 × (6.3/0.484)
q = 0.442 cm
Therefore, the length of q is approximately is 0.4 cm.
To learn more on trigonometry click:
https://brainly.com/question/25122835
#SPJ1
Joe dreams of being a striker for Bafana Bajora some day. Every day, after school, he takes 100 practice goal kicks from various angles and distances. On the first day he only managed to kick 12 goals. On the second next day be kicked 14 goals, on the third day 16 and on the fourth day 18. If the pattern continues, how long will be huve to practice before he will kick 100 goals?
The number of days it will take for him to kick 100 goals is given as follows:
45 days.
How to define a linear function?The slope-intercept definition of a linear function is presented as follows:
y = mx + b.
In which:
The slope m represents the increase of y per each unit of x.The intercept b represents the value of y when x = 0.The parameters for this problem are given as follows:
m = 2, as each day, the number of goals increased by two.b = 10, as on the first day, he managed to kick 12 goals, hence on the day zero, the amount was of 12 - 2 = 10.Hence the function giving the number of goals on day x is given as follows:
y = 2x + 10.
The number of days for him to score 100 goals is then obtained as follows:
100 = 2x + 10
2x = 90
x = 90/2
x = 45 days.
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
WILL VOTE 75 POINTSSS
Which of the following can sine squared theta over the quantity 1 plus cosine theta end quantity be simplified to?
cos θ
1 + cos θ
1 − cos θ
sin θ + tan θ
Answer:
The expression "sine squared theta over the quantity 1 plus cosine theta end quantity" can be simplified to "1 - cos θ".
Answer:
1 - cos θ
Step-by-step explanation:
Suppose that, in 2006, Germany produced 13.239 million bikes. The total world production that year totaled 84 million bikes. What percent of the world's total production of bikes is contributed by Germany? Round your answer to the nearest tenth of a percent.
Answer:
15.8%
Step-by-step explanation:
You want the percentage of world bike production represented by 13.239 million bikes out of a world production of 84 million bikes.
PercentageA fraction is converted to a percentage by multiplying it by 100%.
13.239/84 × 100% ≈ 15.8%
Germany contributed about 15.8% of the world's bike production in 2006.
if you have to go to school 3 days from tuesday what day will you go back to school
Answer:
Three days from Tuesday is Friday.
I need help with this question.
For the trapezoid ABCD following statements are true -
Statement 2: The length of AB can be found using 3²+4²=c².
Statement 3: The perimeter of the trapezoid shown is 22 units.
What is a trapezoid?
A polygon with only one set of parallel sides is called a trapezoid. The parallel bases of a trapezoid are another name for these parallel sides. Trapezoids have two additional sides that are not parallel and are referred to as their legs.
Statement 2 is true because AB is a horizontal side and its length can be found using the Pythagorean theorem -
(Hypotenuse)² = (Base)² + (Perpendicular)²
AB = √((4 - 1)² + (7 - 3)²)
AB = √((3)² + (4)²)
AB = √(9 + 16)
AB = 5
Statement 3 is true because the perimeter of a trapezoid is the sum of the lengths of its four sides, so the perimeter of this trapezoid is
Perimeter = AB + BC + CD + DA
Perimeter = 5 + 5 + 4 + 8
Perimeter = 22
Therefore, second and third statement is true.
To learn more about trapezoid from the given link
https://brainly.com/question/1410008
#SPJ1
Fill in the blanks:
1) if tan x=0, then tan(-x)= ___
2) If sin x= 0.3, then sin(-x)= ____
3) If cos x= 0.3, then cos(-x)= ____
4) If tan x= -2, the tan (pi+x)= ____
The values are :
tan(-x) = 0sin(-x) = -0.3cos(-x) =0.3tan(pie + x) = 2What is trigonometry ?
Trigonometry is a branch of mathematics that deals with the relationships and properties of angles and the trigonometric functions such as sine, cosine, and tangent. It is based on the study of the geometric properties of triangles and is used extensively in fields such as physics, engineering, architecture, and astronomy.
In trigonometry, the relationships between the sides and angles of a triangle are expressed using the six trigonometric functions: sine (sin), cosine (cos), tangent (tan), cosecant (csc), secant (sec), and cotangent (cot). These functions describe the ratios between the sides of a right triangle, where one angle is 90 degrees. Trigonometric functions can also be defined for any angle, not just those in a right triangle, using the unit circle or other methods.
Trigonometry has many practical applications, such as in navigation, surveying, and the design of structures such as bridges and buildings. It is also used extensively in science and engineering, particularly in fields such as physics, mechanics, and electromagnetics.
If tan x = 0, then tan(-x) = 0.
The tangent function is an odd function, which means that tan(-x) = -tan(x). However, since tan x = 0, this means that -tan(x) = 0 as well. Therefore, tan(-x) = 0.
If sin x = 0.3, then sin(-x) = -0.3.
The sine function is an odd function, which means that sin(-x) = -sin(x). Since sin x = 0.3, this means that -sin(x) = -0.3. Therefore, sin(-x) = -0.3.
If cos x = 0.3, then cos(-x) = 0.3.
The cosine function is an even function, which means that cos(-x) = cos(x). Since cos x = 0.3, this means that cos(-x) = 0.3 as well.
If tan x = -2, then tan(pi+x) = tan(pi + atan(-2)) = tan(2.0344 + pi) = -2.
To find tan(pi + x), we need to use the identity tan(a + pi) = -tan(a). In this case, a = atan(-2), which is the inverse tangent of -2. Using a calculator or a table, we can find that a is approximately 2.0344 radians. Therefore, tan(pi + x) = -tan(2.0344) = -(-2) = 2.
Hence, values are
tan(-x) = 0sin(-x) = -0.3cos(-x) =0.3tan(pie + x) = 2To know more about trigonometry visit :
https://brainly.com/question/24349828
#SPJ1
Jack and Glen share a 30-ounce box of cereal. By the end of the week, Jack has eaten
1
10
of the box, and Glen has eaten
2
5
of the box of cereal. How many ounces are left in the box?
Answer:
15 oz
Step-by-step explanation:
1/10 of 30 = 30/10 = 3 oz
2/5 of 30 = 30 * 2/5 = 60/5 = 12 oz
add those up to get 3 + 12 = 15 oz eaten
there are thus 30-15 = 15 oz left in the box
In one season, a basketball player missed 50% of her free throws. How many free throws did she attempt if she made 183 free throws?
Answer:
Step-by-step explanation:
50% of 366 is 183, therefore your answer is 366.
Solve for m.
Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.
8m + 95 < -87m+5
The values of m for the given inequality should be in the interval
(-∞, -18/19).
What is meant by inequality?
In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa. Literal inequalities are relationships between two algebraic expressions that are expressed using the inequality symbols. Typically, we use the "not equal" sign to indicate that two values are not equal. However several inequalities are utilised to compare the numbers, whether it is less than or higher than.
Given the inequality,
8m + 95 < -87m +5
We are asked to solve the inequality.
this means we have to find the value of m.
8m + 95 < -87m +5
8m + 87m < 5 - 95
95m < -90
m < -90/95
m< -18/19
Therefore the values of m for the given inequality should be in the interval (-∞, -18/19).
To learn more about inequality, follow the link.
https://brainly.com/question/25275758
#SPJ1
Approximate the area between the x-axis and the graph of f(x) = x² + 3 over the interval [0, 2]
by calculating the sum of the areas of 4 rectangles with equal widths along the interval. The
rectangles should be placed on the x-axis and the heights should be the function values at the right
endpoint of each subinterval, as shown below.
The approximate area between the x-axis and the graph of f(x) =x² +3
over the interval [0, 2] is 9.75.
What is interval in function?introducing intervals, bounded collections of numerical values that are highly helpful in explaining domain and range. To demonstrate where a value lies in relation to two endpoints, we can use interval notation.
To approximate the area between the x-axis and the graph of
f(x) = x² + 3 over the interval [0, 2].
The heights of the rectangles in the right rectangle method are determined by the function's value at the right endpoint of each subinterval. The right endpoints of each subinterval would be 0.5, 1, 1.5, and 2 if the range [0, 2] were divided into 4 equal subintervals, each of width 0.5.
The height of the first rectangle
f(0.5) = 0.5² + 3
f(0.5) = 3.25
and, the height of the second rectangle
f(1) = 1² + 3
f(1) = 4
and, the height of the third rectangle
f(1.5) = 1.5² + 3
f(1.5) = 5.25
and, the height of the fourth rectangle
f(2) = 2² + 3
f(2) = 7
So, sum of the areas of the rectangles
= (0.5) × (3.25+4+5.25+7)
= (0.5) × 19.5
= 9.75
Learn more about Interval here:
https://brainly.com/question/29674711
#SPJ1
Ann had a total of 285 red and blue beads. She used 45 red beads and 40% of the blue bead. After that,the ratio of the number of red beads to blue beads Ann had was 1:3.
[a] what fraction of blue beads did Ann use
[b] How many beads did Ann have in the end
(a) Ann used 4/10 blue beads i.e. 80.
(b) Ann had 160 beads in the end.
The solution has been obtained by using arithmetic operations.
What are arithmetic operations?
According to mathematicians, any real number may be expressed using the four basic operations, also referred to as "arithmetic operations." The four mathematical operations that produce quotient, product, sum, and difference, respectively, are divide, multiply, add, and subtract.
(a) We are given that Ann had a total of 285 red and blue beads, and she used 45 red beads and 40% of the blue bead.
Let the red beads be x and blue beads be y
So, we get
x + y = 285
x = 285 - y
After using the beads, we get another equation as
⇒(x - 45) / (y - 0.4y) = 1/3
⇒(285 - y - 45) / (y - 0.4y) = 1/3
⇒(240 - y) / (0.6y) = 1/3
⇒720 - 3y = 0.6y
⇒720 = 3.6y
⇒y = 200
So, x = 85
Blue beads used = 40% of 200 = 80
(b) Since, Ann has used 80 blue beads and 45 red beads, so
Beads in the end = 285 - 45 - 80 = 160
Hence, Ann had 160 beads in the end.
Learn more about arithmetic operations from the given link
https://brainly.com/question/30283549
#SPJ1
Round to the closest whole number. 32% of the animals were males. If the herd had 112 animals how many were female?
Using arithmetic operations it is obtained that there were approximately 76 female animals in the herd.
What is arithmetic operation?
A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.
If 32% of the animals were males, then 100% - 32% = 68% of the animals were female.
To find the number of female animals in the herd of 112 animals, multiply the total number of animals by the percentage that were female -
68% = 68/100 = 0.68
Number of female animals = 0.68 x 112
Number of female animals = 76.16
Rounding this to the closest whole number gives -
Number of female animals ≈ 76
Therefore, the number of female animals is 76.
To learn more about arithmetic operation from the given link
https://brainly.com/question/20628271
#SPJ1
After a 27% decrease the value of a game card was now on sale for $34.00. What was the original price?
The original price of the game card was approximately $46.58.
What purpose does a game serve?When the game can be effectively described by a numerical "characteristic function," such as v(S), which expresses how much any coalition S of players may win with certainty, regardless of the behaviour of the other players, then we can most readily determine the value of the game.
Let x represent the game card's initial cost. So 1 - 0.27 = 0.73, the price would be 0.73x after a 27% drop.
We are aware that 34.00 = 0.73x. We can divide both sides by 0.73 to find x:
x = 34.00 ÷ 0.73
x ≈ 46.58
Thus, the game card's initial cost was only about $46.58.
To know more about Game Card visit:
https://brainly.com/question/27194908
#SPJ1
Write the equation of the circle given center: (1,-3) and diameter:20
I put it as (x-1)^2+(y+3)^2=400
Answer:
(x - 1)^2 + (y + 3)^2 = 400.
Step-by-step explanation:
Your equation is correct.
The center of the circle is (1, -3), which is the midpoint of the diameter. The diameter is 20, so the radius is 10. The equation of a circle with center (h, k) and radius r is given by:
(x - h)^2 + (y - k)^2 = r^2
Substituting the values, we get:
(x - 1)^2 + (y + 3)^2 = 10^2
Simplifying the right side, we get:
(x - 1)^2 + (y + 3)^2 = 100
Therefore, the equation of the circle is (x - 1)^2 + (y + 3)^2 = 400.
find the value of a in the number 6a subtract 4 a+ 5a=210
The value of "a" will be 30 for the given Algebraic expression.
What is algebraic Expression?Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
Given, a algebraic expression 6a -4a +5a = 210
Simplifying the equation in terms of a
6a -4a +5a = 210
adding or subtracting the terms with the same variables
7a = 210
divide by 7 on both sides
a = 30
Therefore, the value of "a" will be 30 for the given Algebraic expression.
Learn more about algebraic Expression here:
https://brainly.com/question/953809
#SPJ9
There are 10 roller coasters at 6 flags. If you only have time to ride 3 before the park closes. How many different ways can you create a path to 3 different roller coasters?.
There are 120 different ways to create a path to 3 different roller coasters at Six Flags.
There are a total of 10 choose 3 ways (120) to choose 3 roller coasters out of the 10 available at Six Flags. To calculate this, we can use the combination formula.
The combination formula is:
nCr = n!/(r!(n-r)!).In this case, n is 10 and r is 3, so the total number of possible combinations is
10!/3!7! = 120.To calculate the number of combinations without using a formula, we can use the following method: Start with the first roller coaster, then add a second roller coaster, then a third. There are 10 choices for the first roller coaster, then 9 for the second, and 8 for the third. This results in:
10x9x8 = 720 possible combinationswhich is 6 times more than the 120 calculated by the combination formula. This is because the combinations ABC and CBA are the same, and so are other combinations that are just permutations of each other.
Therefore, there are 120 different ways to create a path to 3 different roller coasters at Six Flags.
Learn more about combinations:
https://brainly.com/question/28065038
#SPJ4