The greatest common factor of 16 and 24 is 2×2×2
What is the greatest common factor?The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.
Given that, The prime factorizations of 16 and 24 are shown below.
Prime factorization of 16: 2, 2, 2, 2
Prime factorization of 24: 2, 2, 2, 3
Now, choosing the common factors = 2, 2, 2
Therefore, the GCF = 2, 2, 2
Hence, The GCF of 16 and 24 is 2, 2, 2
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Find the percent of the number. Explain your method.
20% of 50
Answer:10
Step-by-step explanation:
20/100x98
20/100=0.2
0.2x98=10
Answer: 10
Step-by-step explanation: 20 percent of 50 can be written as
20% x 50= 20/100 × 50= 10
During a person's commute to school, she spends 20 minutes driving 45 mph and 5 minutes stopped at red lights. What is the person's average speed during her commute
The person's average speed during her commute is 33.75 mph.
The speed of an object can be obtained by comparing the distance covered to the traveling time needed.
speed = distance / time
Take a look at the problem. As the information given is time in minutes and speed in miles per hour (mph), then we have to convert the time into an hour unit.
Total time = 20 minutes = 20/60 hour = 1/3 hour
Break time = 5 minutes
Commuting time = 20 - 5 = 15 minutes
= 15/60 hour = 1/4 hour
Given the speed = 45 mph, then the distance covered during commuting time is:
Distance = speed x time
= 45 x 1/4
= 11.25 miles
Then we can calculate the average time, by comparing the distance covered to the total time:
Average speed = distance / total time
= 11.25 / 1/3
= 33.75 mph
Thus the average speed during the commute is 33.75 mph.
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A retail clothing store offers customers an opportunity to open up a credit card during checkout. one location of the retail clothing store states that the number of credit cards, a, that are opened t months since january can be modeled by the function a(t) = 15 3t. the number of credit cards opened at another location, b, is defined by the function b(t) = 25 − t. what is an expression that can be used to determine the total amount of credit cards opened at the two locations? (a b)(t) = 40 4t (a b)(t) = 40 2t (a − b)(t) = −10 2t (a − b)(t) = −10 4t
The total number of credit cards assigned at 2 locations are 44t + 25.
We can find the total number of credit cards opened at the two locations by adding the number of credit cards opened at each location. In this case, that means adding the functions a(t) and b(t).
The function for the number of credit cards opened at location a is a(t) = 15 * 3t
The function for the number of credit cards opened at location b is b(t) = 25 - t
So, to find the total number of credit cards opened at the two locations, we can add those two functions:
Total(t) = a(t) + b(t)
= (15 * 3t) + (25 - t)
= 45t + 25 - t
= (45 - 1)t + 25
= 44t + 25
This is the expression that can be used to determine the total amount of credit cards opened at the two locations.
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An expression that can be used to determine the total amount of credit cards opened at the two locations (a + b)(t) = 40 + 2t
In this question we have been given one location of the retail clothing store states that the number of credit cards, a, that are opened t months since january can be modeled by the function a(t) = 15 + 3t
And the number of credit cards opened at another location, b, is defined by the function b(t) = 25 − t
We need to find an expression that can be used to determine the total amount of credit cards opened at the two locations
Let the total number of credit cards that are opened at both the location together is nothing but the sum of functions a(t) and b(t)
So, the total number of credit cards
a(t) + b(t) = (15 + 3t) + (25 - t)
(a + b)(t) = 15 + 3t + 25 - t
(a + b)(t) = 15 + 25 + 3t - t
(a + b)(t) = 40 + 2t
Therefore, the required expression is (a + b)(t) = 40 + 2t
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please help quickly
x=___ Write the answer in decimals
Answer:
26
Step-by-step explanation:
9=x+1
5=10÷3
9=x+1
5=3.333°
Now you need to find scale factor (sf)
5÷3.333°=1.5
SF=1.5
9÷3.333=2.7
2.7-1=1.7
x=1.7
Answer:
x = 5
Step-by-step explanation:
Given PQRS ~ UVWT and PQ = 5, RS = 9, UV = 10/3, WT = x+1, you want the value of x.
Similar polygonsCorresponding side lengths of similar polygons are proportional. This means ...
WT/UV = RS/PQ
(x+1)/(10/3) = 9/5 . . . . . . . . . . . substitute given values
Multiplying by 10/3 gives ...
x +1 = (10/3)(9/5) = 6
x = 5 . . . . . . . . . subtract 1
The expression -370+13m represents a submarine that began at a depth of 370 feet below sea level and ascended at a rate of 13 feet per minute. What was the depth of the submarine after 9 minutes?
After 9 minutes, the submarine will be at a depth of +91 feet below sea level.
What is expression in math?Expression in math is a combination of numbers, symbols, and operations that represents a value or a mathematical relationship. It is written in a symbolic form, and can be evaluated to produce a numerical value or a logical result. Expressions are used to represent mathematical equations, and can range from simple equations like 2+2 to complex equations involving multiple operations, variables, and functions.
This is calculated by subtracting 9 from the initial depth of 370 feet and then adding the change of 13 feet per minute for 9 minutes. Therefore, the expression -370+13m = +91.
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How much does it cost for 2 specials and 2 glasses of milk?
4 specials+2 glasses of milk=28.00$ 3 specials+4 glasses of milk=26.25$
The cost of 2 specials and 2 glasses of milk is $16
What is the cost of 2 specials and 2 glasses of milk?The first step is to determine the price of a special and a glass of milk.
The elimination method would be used to solve the given system of equations :
4s + 2m = 28 equation 1
3s + 4m = 26.25 equation 2
Where:
s = cost of one specials m = cost of one glass of milkMultiply equation 1 by 2
8s + 4m = 56 equation 3
Subtract equation 2 from equation 3:
5s = 29.75
Divide both sides of the equation by 5
s = 29.75 / 5
s = $5.95
Substitute for s in equation 1:
4(5.95) + 2m = 28
23.8 + 2m = 28
2m = 28 - 23.8
2m = 4.2
m = 4.2 / 2
m = $2.10
Cost of 2 specials and 2 glasses of milk = (2 x 2.10) + (2 x 5.95)
= $4.10 + 11.90 = $16
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Is the data set "distance a baseball travels after being hit" quantitative or qualitative? if it is quantitative, is it discrete or continuous? a. qualitative b. quantitative, continuous c. quantitative, discrete d. neither please select the best answer from the choices provided a b c d
The dataset is quantitative and continuous.
Quantitative data is gathered by measuring and counting. Qualitative data is collected by interviewing and observing. Quantitative data is analyzed using statistical analysis, while qualitative data is analyzed by grouping it in terms of meaningful categories or themes. Quantitative data is anything that can be counted or measured; it refers to numerical data. Qualitative data is descriptive, referring to things that can be observed but not measured—such as colors or emotions.
Discrete data and continuous data are both types of quantitative data. The main difference between them is the type of information they represent. Discrete data typically only shows information for a particular event, while continuous data often shows trends in data over time. The type of data that has clear spaces between values is discrete data. Continuous information is information that falls into a continuous series. Discrete data is countable. Continuous data is measurable. There are distinct or different values in discrete data.
Given that the data set "Distance a baseball travels after being hit" has been provided.
Considering that numbers can be used to express it.
Therefore, the data set must be quantitative.
Since a baseball will move in an uninterrupted curve after being hit,
It would therefore be a continuous function.
Thus, the dataset is quantitative and continuous.
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Answer:
quantitative, continous
What is the slope of the line that passes through the points (6, -8) and (6, -3)? Write answer in simplest form
Applying the slope formula calculated from the points, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] , The answer is undefined.
What do you mean by slope?The slope of a line is a number that describes the steepness of the line and the direction in which it is sloping. It is often represented by the letter "m" and is calculated as the ratio of the change in the y-coordinate (rise) to the change in the x-coordinate (run) between two points on the line. The slope can be positive, negative, zero or undefined. A positive slope indicates that the line is rising from left to right, a negative slope indicates that the line is falling from left to right, a slope of zero indicates that the line is horizontal and an undefined slope indicates that the line is vertical.
What are intercepts?The intercepts of a line are the points at which the line crosses the x-axis and y-axis. A line can have zero, one, or two intercepts, depending on its slope and the position of the line in the coordinate plane. The x-intercept of a line is the point at which the line crosses the x-axis. It is the point at which the y-coordinate is equal to zero. The y-intercept of a line is the point at which the line crosses the y-axis. It is the point at which the x-coordinate is equal to zero.
(x1,y1) = (6,-8)
(x2,y2) = (6,-3)
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
m=undefined (The points lie on vertical line.)
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Tran is making fasnachts (deep-fried German doughnuts) to sell the
Tuesday before Ash Wednesday, her bakery's biggest fasnacht day of
the calendar year. She has 8 pounds of butter and her recipe calls for
1
cup of butter per 2 dozen fasnachts. If 1 pound of butter is 2 cups,
then how many individual fasnacht doughnuts will Tran be able to
make?
He can make 32 dozen Fasnacht with 8 pounds of butter.
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Given here, She has 8 pounds of butter and 1 cup of butter can make 2 dozen Fasnacht. Also, 1 pound of butter is 2 cups thus 8 pounds of butter is equivalent to 16 cups.
1 cup of butter to make 2 dozen Fasnacht
then 16 cups of butter can be used to make 16×2=32 dozen Fasnacht
Hence, he can make 32 dozen Fasnacht with 8 pounds of butter.
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Express 80 as the product of its prime factors.
Write the prime factors in ascending order.
All the prime factors of 80 in ascending order will be;
⇒ 2, 2, 2, 2, 5
What is Ascending order?The numbers arrange in order to least to greatest number is called Ascending order.
Given that;
The number is,
⇒ 80
Now,
The number 80 is written as a product of prime factors as;
⇒ 80 = 2 × 2 × 2 × 2 × 5
Thus, The ascending order of prime factors of 80 are,
⇒ 2, 2, 2, 2, 5
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the value of x is 3 and y is 5
Answer:
a) 2
b) 93
Step-by-step explanation:
a) 4x - 2y
4(3) - 2(5)
12 - 10
2
b) 2x^2 + 3y^2
2(3)^2 + 3(5)^2
2(9) + 3(25)
18 + 75
93
I promise this is the last one today
Answer:
The last option #4
Step-by-step explanation:
We are subtracting 8 from each number each time. 6-8=-2 -2-8=-10, and -10-8=-18. To find out that you subtract 8 subtract any 2 terms for example 30-22 from the sequence, and you will find your answer of 8. Then subtract 8 from 6, and the next terms after that and you will have your answer.
-Hope this helped & Happy New Year!
Which sign makes the statement true?
58% 4/5
< > =
Type your answer in decimal form. Do not round.
230 ounces =
cups
My answer was solved by here, 28.75, but I was not given an explanation, can someone explain how this answer could be gotten so I can understand better?
The equivalent ratio between ounces and cups is given as follows:
230 ounces = 28.75 cups.
How to make the conversion of units?Conversion of units are made applying the proportions, which are a fraction giving the unit rates between two units.
These fractions are then combined with basic arithmetic operations, especially multiplication and division, to find the desired measures in the context of a problem.
The conversion rate from ounces to cups is given as follows:
1 ounce = 0.125 cups.
(a known conversion rate).
Hence the amount of cups equivalent to 230 ounces is calculated applying the proportion, which is the multiplication of 230 by 0.125, as follows:
230 x 0.125 = 28.75 cups.
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Determine the quartiles and interquartile range 20,21,23,25,26,28,30
The upper half of data is the set above the median is 25,26,28,30 so,The median for the upper half of data is 25,26,28,30 the upper or third quartile. In this case, the third quartile is 27.
How do you calculate the quartile and interquartile range?To calculate the interquartile range (IQR), first compute the median (middle value) of the data’s lower and upper halves. These are quartile 1 (Q1) and quartile 3 (Q3) values (Q3). The IQR is the difference between quarters three and one.
The first quartile (Q1) is also known as the lower quartile. The second quartile, 50th percentile, or Median is denoted as: The second quartile (Q2) equals the ((n+1)/2)th term. The third quartile of the 75th percentile (Q3) is denoted as follows: The third quartile (Q3) is also known as the upper quartile. The interquartile range, which is a measure of variability around the median, is calculated using quartiles.
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I was wondering how do i solve this question?
The new co-ordinates of A' and B' will be A'(-6,15) and B'(-24,-3) respectively.
What is coordination?Coordination is the process of combining individual efforts for a common purpose. It involves the synchronization and integration of activities, resources, and decision-making to achieve a desired outcome. This process is essential for many activities, such as project management, team building, and problem solving. Coordination requires communication, collaboration, and understanding among all participants. It can involve the use of technology, such as project management software, to ensure everyone is on the same page. Coordination is an important part of any successful endeavor, as it ensures that all goals are met in a timely and efficient manner.
The distance between A' and B' will be the length of the line segment AB' which can be calculated by using the distance formula, i.e. distance = √((x2-x1)² + (y2-y1)²). Therefore, the distance of A'B' will be 30 units.
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Please answer I need itt
Which of these relations is a function?
The 2nd relation is a function out of the given graph function.
What is graph function?The set of ordered pairs (x, y) where f(x)=y makes up a function's graph in mathematics. These pairs, which are Cartesian coordinates of points in two-dimensional space and thus constitute a subset of this plane in the typical case where x and f(x) are real numbers, are examples of real numbers.
Instead of the pairs ((x,y),z) as in the definition above, the graph in the context of functions of two variables, i.e. functions whose domain consists of pairs (x,y), typically refers to the set of ordered triples (x,y,z) where f(x,y)=z. For a continuous real-valued function of two real variables, this set is a surface. It is a subset of three-dimensional space.
Graphs are useful tools for a variety of tasks in science, engineering, technology, finance, and other fields.
A Set of points in a plane is the graph of a function if & only if no vertical line intersects the graph in more than one point
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A photo 5 in tall and 9 in wide. If it is enlarged to a width of 63 in then how tall will it be
Answer: 35 in tall
Step-by-step explanation: 9 x 7 = 63, so therefore 5 x 7 = 35
Geometry find length of third side
Answer: 3
Step-by-step explanation:
I do not have time to explain but next time GET YOU A CALCULATOR and read.
Me pueden a contestar esto por favor Les doy corona, Necesito definiciones de cada uno explicar que es un Anglo y los Ánglos de cada uno y si se puede tomenle cap y respondan ahí mismo para poder entender les doy muchos puntos.
An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively.
What is an Angle?An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are on the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.
A figure called an angle is one in which two rays originate from the same point. The two rays that make up the angle are referred to as its arms or sides, and this point is known as the angle's vertex. Reflex angles are those that are higher than 180 degrees but smaller than 360 degrees.
Types of Angles
Acute Angle – an angle that measure less than 90 degrees.
Right Angle – an angle which is exactly at 90 degrees.
Obtuse Angle – an angle whose value is greater than 90 degrees and less than 180 degrees.
Straight Angle – an angle which is exactly at 180 degrees.
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hello please solve this asap....,.!!!!!!!!!!!!!!!!
The simplification of the expression using laws of exponents is 2 × 3³ × 5
How to simplify the expression using exponent law?
Laws of exponents state that exponents of numbers or expressions are added when the numbers are multiplied, subtracted when the numbers are divided, and multiplied when raised by still another exponent e.tc. That is:
mᵃ × mᵇ = mᵃ⁺ᵇ
mᵃ / mᵇ = mᵃ⁻ᵇ
(mᵃ)ᵇ = mᵃᵇ
Note: The bases must be the same e.g. mᵃ and mᵇ have the same base
Given: (2⁵ × 3⁴ × 25²) / (3 × 16 × 5⁴)
(2⁵ × 3⁴ × 25²) / (3 × 16 × 5⁴) = (2⁵ × 3⁴ × (5²)²) / (3¹ × 2⁴ × 5⁴)
= (2⁵ × 3⁴ × 5⁴) / (3¹ × 2⁴ × 5⁴)
= 2⁵⁻⁴ × 3⁴⁻¹ × 5⁴⁻⁴
= 2¹ × 3³ × 5¹
= 2 × 3³ × 5
Thus, the expression simplifies to 2 × 3³ × 5
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In a kite, the measures of a pair of opposite angles are $50°$ and $108°$ . Find the measure of one of the other angles in the kite.
The measure of one of the other angles in the kite is equal to 101°
What is a kiteA kite is a quadrilateral which implies the sum of its interior angles is equal to 360°.A kite is symmetrical about its main diagonal and the angles where the adjacent pairs of sides meet are equal. It can be viewed as a pair of congruent triangles with a common base.
Considering one of the congruent triangles which consists of half the angles 50° and 108°, and one of the other angles in the kite.
Let x represent one of the other angles so that we evaluate for its measure as follows:
x + 54° + 25° = 180° {sum of interior angles of a triangle}
x + 79° = 180°
x = 180° - 79° {subtract 79° from both sides}
x = 101°
Therefore, the measure of one of the other angles in the kite is equal to 101°
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Ivanna is solving a quadratic equation. She wants to find the value of x by taking the square root of both sides of the equation. Which equation allows her to do this?.
The equation that allows Ivanna to take the square root of both sides to find the value of x is ax² + bx + c = 0.
This is known as the standard form of a quadratic equation, and it can only be solved by taking the square root of both sides. After taking the square root, Ivanna would be left with two equations, one containing the positive root of the equation and one containing the negative root. The positive root would be the value of x that Ivanna is looking for.
Therefore Ivanna have to take the square root of both sides to find the value of x is ax² + bx + c = 0.
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Which club has the greater initial value? Which club has the greater rate of change?
Describe what this means in the context of the problem.
3 Lesson 7 Compare Functions
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The initial value of A is 3, The initial value of B is 2.25 and club B has a greater rate of change.
What is function?Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and co-domain, respectively.
Given:
The graph of club A and the values of club B is given,
Calculate the initial value of A and B as shown below,
The initial value of A = 3,
The initial value of B = 2.25
Hence, A has a greater initial value,
Calculate the rate of change as shown below,
The rate of change for club A = 3.75 / 2.25
The rate of change for club A = 1.67
The rate of change for club B = 4 / 3
The rate of change for club B = 1.33
Thus, the rate of change is higher for club B.
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On a coordinate plane, a schoolhouse is located at (4, –5) and a grocery store is located at (–1, 7). using north, south, west and east, write directions on how to walk from the schoolhouse to the grocery store.
Here is a set of directions on how to walk from the schoolhouse to the grocery store: walk 5 units west and 12 units north.
To travel from the schoolhouse to the grocery store, find the distance between each point horizontally and vertically.
To find the horizontal distance between the schoolhouse and the grocery store on a coordinate plane, find the difference between the x-values of the two points.
x-distance = |4 - (-1)| = 5
Since the direction is from right to left, it should be 5 units west.
To find the vertical distance between the schoolhouse and the grocery store on a coordinate plane, find the difference between the y-values of the two points.
y-distance = |-5 - (7)| = |-12| = 12
Since the direction is upwards, it should be 12 units north.
Hence, one should walk 5 units west and 12 units north to get to the grocery store from the schoolhouse.
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Determine which three out of the six points shown below are a solution to the equation
2
x
+
y
=
6.
2x+y=6. Plot the three points that are in the solution set, draw a line through the three points and then answer the questions below.
The three points that are in the solution set are E(3,0) F(5,-4)
Plotting graphs?
When plotting graphs, you typically use a set of Cartesian coordinates to specify the location of each point on the graph. The Cartesian coordinates, also known as rectangular coordinates, consist of an x-coordinate and a y-coordinate. The x-coordinate specifies the position of the point along the horizontal axis, also known as the x-axis, and the y-coordinate specifies the position of the point along the vertical axis, also known as the y-axis.
To determine which of the six points are a solution to the equation
2x + y = 6, we can substitute the x and y values of each point into the equation and see if it holds true.
The points are A (1, -6), B (7, -3), C (-1, 8), D (3, -5), E (3, 0), F (5, -4)
A = (1, -6), 2x+y = 21 + -6 = 6 , it is not a solution
B = (7,-3) , 2x+y = 27 + -3 = 6 , it's not a solution
C = (-1,8) , 2x+y = 2*-1 + 8 = 6 , it's not a solution
D = (3,-5) , 2x+y = 23 + -5 = 6 , it is not a solution
E = (3,0) , 2x+y = 23 + 0 = 6, it's a solution
F = (5,-4) , 2x+y = 2*5 + -4 = 6, it's a solution
So, the three points that are in the solution set are E(3,0) F(5,-4)
We can plot the points on a coordinate plane, with x on the horizontal axis and y on the vertical axis.
And connect all three points, which would result in a line.
You can label this line as 2x+y=6, and any point that lies on that line is a solution for the given equation.
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The rate of change of the volume V with respect to time t of water leaking from a tank is proportional to the cube of the volume. Which of the following is a differential equation that could describe this relationship? a. dV/dt = -1.4t^3 b. dV/de = -0.2V^3 c. dV/dt = 0.75t^3 d. dV/dt = 0.15V^3
d. dV/dt = -0.15V³ is a differential equation that could describe the relationship between the rate of change of the volume V with respect to time t of water leaking from a tank, and the cube of the volume.
Differential Equation for LeakA differential equation is an equation that relates a function and its derivatives. In this case, the function is the volume V of water in the tank, and the variable is time t. The problem states that the rate of change of the volume V with respect to time t is proportional to the cube of the volume. This means that the rate at which the volume is changing is directly proportional to the cube of the volume, and the proportionality constant is a negative number.
The differential equation that describes this relationship is dV/dt = -0.15V³, where dV/dt represents the rate of change of the volume with respect to time, and -0.15V³ represents the proportionality constant times the cube of the volume. The negative sign indicates that the volume is decreasing over time, as water is leaking out of the tank. This differential equation can be used to model the behavior of the water leaking from the tank, and can be used to determine the volume of water remaining in the tank at any given time.
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10. Find the slope of the line.
Answer:
The slope of the line is -2. (m = -2)
Select all the expressions which are equivalent to –3(0.15 – 0.2 + 0.25p). A. –0.45 – 0.6 + 0.25p B. 0.15 – 0.75p C. 3(0.15 + 0.2 + 0.25p) D. –3(–0.05 + 0.25p) E. –3(0.05 + 0.25p)
Equation systems that have the same solution are referred to as comparable systems. The similar expressions are -3(-0.05 + 0.25p) and 0.15 - 0.75p.
What is the difference between equation and equivalent?Thus, conceptually speaking, an equation is composed of two expressions. The equal sign establishes the equality of the two sides of the equation as expressions. A mathematical phrase called an equation is used to illustrate the relationship between two or more variables and numbers.
As a result:
The expression is simplified to: = -3(0.15 - 0.2 + 0.25p)
A further simplification results in:
= 0.15 – 0.75p
The similar expressions are -3(-0.05 + 0.25p) and 0.15 - 0.75p.
Equation systems that have the same solution are referred to as comparable systems. A system of two equations can be made into an equivalent system by replacing one equation with the total of the two equations or by replacing an equation with a multiple of itself.
Therefore the correct answer is option B) 0.15 – 0.75p .
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