The following pair represent 6/7 , 1 5/7 are called like fractions, because the fractions with the same denominators.
Based on the given fraction is,
6/7 , 1 5/7
Then,
What is Fraction :In a fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole. A fraction has two parts, namely numerator and denominator. The number on the top is called the numerator, and the number on the bottom is called the denominator.
Like Fractions – The fractions with the same denominator are called like fractions.Example: 4/2, 7/2, 9/2
Here, the denominators of all the fractions are 2. Hence, they are called like fractions.
Unlike Fractions – The fractions with different denominators are called, unlike fractions.
Example: 5/2, 4/6, 9/4
Here, the denominator values are different in all the fractions. Hence, they are called, unlike fractions.
Equivalent Fractions – If two fractions result in same value, after simplification, then they are equivalent to each other.Example: ⅔ and 4/6 are equivalent fractions, since 4/6 = (2×2)/(2×3) = 2/3
In group (i) the denominator of each fraction is 7, i.e., the denominators of the fractions are equal.
The fractions with the same denominators are called like fractions.
In group (ii) the denominator of each fraction is different, i.e., the denominators of all the fractions are different.
The fractions with different denominators are called unlike fractions.
Therefore,
The following pair represent 6/7 , 1 5/7 are called like fractions, because
the fractions with the same denominators.
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Write the slope-intercept form of the equation of the line described.
through (2,-4) and is perpendicular to y = 2x +1
The slope-intercept form of the described line's equation. through (2,-4) and is perpendicular to y = 2x +1. y = 2x + 0 is the slope intercept form.
What is slope-intercept form?When you know the slope of the line to be examined and the point given is also the y intercept, We can use the slope intercept formula,y = mx + b. (0, b).
The y value of the y intercept point is represented by b in the formula.Here given a point (2 , -4)
and given an equation, y = 2x + 1
we know that slope intercept form = y = mx + b
to get value of b ,
substitute x and y in perpendicular equation ,
so we get ,
- 4 = 2 x 2 + b
- 4 = 4 + b
- 4 - 4 = b
b = 0;
So the slope intercept form = y = 2x + 0
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Are lines q and n perpendicular? Explain your reasoning.
Yes, are lines q and n perpendicular. Because Perpendicular lines are those that intersect at a right angle (90 degrees).
What is meant by perpendicular?Two geometric objects are perpendicular in elementary geometry if they intersect at a right angle. The perpendicular symbol, can be used to represent the condition of perpendicularity graphically. It can be defined between two lines, a line and a plane, or two planes. Perpendicular lines are two distinct lines that intersect at 90°, or a right angle. When two lines intersect at a right angle, or 90 degrees, perpendicular lines are formed. Perpendicularity refers to this property of lines. Perpendicular lines are defined as lines that intersect at a right angle. As an example, consider the steps of a straight ladder or the opposite sides of a rectangle. The symbol used to represent two perpendicular lines: ⊥ ⊥To learn more about perpendicular, refer to:
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Find values for p and q so that the equation has infinitely many solutions.
px+4 = –12x+q
The values of p and q so that the equations has infinitely many solutions are -12 and 4 respectively.
Given, we have equation px+4=-12x+q
To find the values of p and q we just need to equate coefficients of corresponding terms.
To find q, substitute p = -12
-12x+4=-12x+q
-12x+12x+4 = q
q = 4
hence when q = 4, then
px+4 = -12x+4
px+4 - 4 = -12x
px = -12x
p = -12
Therefore, for infinitely many solutions of the equation, the values of p and q are -12 and 4 respectively.
Hence tha values of p and q are -12 and 4.
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Need help asap, Worth 25 points
Answer: combine like terms
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
find the designated angels in each diagram
The values of all 3 angles are:
x = 95°y = 65°z = 115°What are angles?An angle is a figure in Euclidean geometry made up of two rays that share a common endpoint and are referred to as the angle's sides and vertex, respectively. Angles created by two rays are in the plane where the rays are located. Based on the measurement, there are different kinds of angles in geometry. The names of fundamental angles include acute, obtuse, right, straight, reflex, and full rotation.So, we know that ∠AOB is s straight angle (180°).
Then,
x - 30 + x + 20 = 1802x - 10 = 1802x = 180+ 102x = 190x = 95°Now, solve for straight angle ∠DOC with x = 95°:
z + x - 30 = 180z + 95 - 30 = 180z + 65 = 180z = 180 - 65z = 115°Similarly, solve for straight angle ∠AOB with z = 115°:
z + y = 180115 + y = 180y = 180 - 115y = 65°Therefore, the values of all 3 angles are:
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A professional bowler wanted to gather data about the cost of local bowling leagues in the area. After collecting and plotting the
data, it was determined that the average bowling league consists of a one-time registration fee and a monthly fee modeled by the
equation ŷ= 18x + 25.
Identify and interpret the slope in this scenario.
O The slope is 18. Starting at $25, the cost will increase by $18 per month.
O The slope is 18. Starting at $25, the cost will decrease by $18 per month.
O The slope is 25. Starting at $18, the cost will increase by $25 per month.
O The slope is 25. Starting at $18, the cost will decrease by $25 per month.
A
y=mx+b
m is the slope
b the point where y is at when x is on 0 so yourpoint plot is (0,25) ( 1,38) ect
Answer:
A is the answer Slope is 18 and starts at 25 will increase by 18 every month.
Step-by-step explanation:
f(x) = x - 5; g(x) = f(x − 3)
Answer:
g(x) = x - 8
Step-by-step explanation:
f(x) = x - 5
g(x) = f(x-3) = f(x-5) - 3 = x -8
Using the solution from the previous question, solve the following problem. Suppose that the amount of money originally invested in an account was $5,000, and that the money in the account after 3 years is $6,050. What was the annual simple interest rate for the account?
Let's use the simple interest formula:
[tex]FV=PV\cdot r\cdot t[/tex]Where:
FV = Future value = $6050
PV = Present value = $5000
r = interest rate
t = time = 3
Replacing the data into the equation:
[tex]\begin{gathered} 6050=5000\cdot r\cdot3 \\ 6050=15000r \\ \text{Solving for r:} \\ \frac{6050}{15000}=r \\ \\ r\approx0.4033\approx40.33 \end{gathered}[/tex]r = 40.33%
Please help me on these two questions!! ( will mark brainliest )
2. ∠L and ∠Z are vertical angles with m∠L = 2x + 9 and m∠Z = 3x − 14.
m∠L= ____ degrees
3. ∠Y and ∠J are vertical angles with m∠Y = 7x + 12 and m∠J = 10x − 9.
m∠J = ____ degrees
The value of m∠L is 55 degrees and the value of m∠J is 61 degrees.
As we know, vertical angles are the opposite angles made by the intersection of the two lines, vertical angles are equal in magnitude,
So, we can write,
1. ∠L and ∠Z are vertical angles,
∠L = 2x + 9 and,
∠Z = 3x - 14.
Because both are vertical angles, so,
∠L = ∠Z
2x + 9 = 3x - 14
Solving further,
3x - 2x = 9 + 14
x = 23
So, the value of ∠L is,
= 2(23)+9
= 46+9
= 55°
The value of angle ∠L is 55°,
2. As, ∠Y and ∠J are vertical angles, so they are equal,
∠Y = 7x + 12
∠J = 10x - 9
∠Y = ∠J
7x + 12 = 10x - 9
Solving further,
3x = 21
x = 7
So, the value of ∠J is,
= 10(7) - 9
= 70 - 9
= 61°
The value of ∠J is 61°.
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13. Throughout the season, a baseball team won 130 games and lost 90 games. What percent of the totalgames were won? Round to the nearest percent
SOLUTION
The team won 130 games and lost 90 games. This means that the total games played is
[tex]\begin{gathered} 130+90 \\ =220 \end{gathered}[/tex]Percentage of games won becomes
[tex]\%\text{ of game won =}\frac{\text{number of games won }}{\text{ number of games played}}\times\frac{100}{1}[/tex]So, we have
[tex]\begin{gathered} \%\text{ of game won =}\frac{\text{1}30}{\text{2}20}\times\frac{100}{1} \\ =\frac{13}{22}\times100 \\ =59.090909 \end{gathered}[/tex]Hence the answer is 59%
Where should you plot the ordered pair (3,4) in relation to the origin?
CLEAR CHECK
4 spaces to the right and 3 spaces up
3 spaces to the right and 4 spaces up
3 spaces to the right, 4 times
3 spaces up and 4 spaces to the right
The ordered pair (3,4) in relation to origin is plotted as:
3 spaces to the right and 4 spaces up
When two items are written inside parantheses and are separated by a comma, they create an ordered pair. For instance, the ordered pair (x, y) indicates an ordered pair in which 'x' is referred to as the first element and 'y' is referred to as the second element. These items, which can be either variables or constants, have distinct names depending on the context in which they are used. In an ordered pair, the element order is somewhat significant. It implies that (x, y) may not always be equivalent to (y, x).
In coordinate geometry, a point's location on the coordinate plane with respect to the origin is represented as an ordered pair. Two perpendicular intersecting lines, one of which is the x-axis and the other is the vertical line, together constitute a coordinate plane (y-axis).
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Energy is measured in kilowatt-hours. The table and scatter plot below, show the cost of building a facility to produce energy and the ongoing cost of operating the facility for five different types of energy.Do you think that there is a statistical relationship between building cost and operating cost? if so, describe the nature of the relationship.
Yes, because it looks like there is a downward pattern in the scatter plot. It appears that the types of energy that have facilities that are more expensive to build are less expensive to operate.
Which equation can be used to find m, the number of months it will take for both accounts to have the same amount of money? 250.5 35m = 300 45.25m 250.5 â€" 35m = 300 â€" 45.25m 250.5m â€" 35 = 300m â€" 45.25 250.5m 35 = 300m 45.25
The number of months it will take for both accounts to have the same amount of money is 250.50 - 35m = 300 - 45.25m, which can be found using the equation.
Let m be the number of months.
It is given that:
The international Business club starts with $ 250.50 in their account.
and each month they spent $ 35 on activities.
This means that after m months the total amount left in the bank account is:
250.20-35 m
The future agriculture leaders club start with a amount of $ 300 and spent $ 45.25 each month.
This means that the amount left in the account after m months is:
300-45.25m
Now, the equation that represents same amount of money in both the accounts is:
250.50-35m=300-42.25m
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Solve for x if 2(5x + 2)² = 48.
Ox= -2+2√24 and x = -2-2√24
5
5
O x = −2+2√24 and x = -2-2√24
2
2
Ox= -2+2√6 and x = -2-2√6
5
5
Ox= -2+2√5 and x = -2-2√6
2
2
The value after simplification for the variable 'x' is: x = (2√6 -2)/5
What is simplification?
In mathematics, the term simplification is used to solve complicated equation. Basically, it convert the complicated terms into easy expression to make the calculation simple. The method is applicable in almost the equation based problems.
According to the question, the given expression for the simplification is as follows:
Required expression: 2(5x + 2)² = 48
(5x + 2)² = 24 ⇒ (5x + 2) = √24 = 2√6
⇒ (5x) = 2√6 - 2
⇒ x = (2√6 -2)/5
Hence, the value for the variable 'x' is: x = (2√6 -2)/5
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Match the expressions on the left which represent distance two points, with their corresponding points on the right.
Answer:
[(3, 1), (5, 6)]
[(4, -2), (0, -8)]
[(5, 4), (2, 0)]
[(-1, -3), (-1, -7)]
Explanation:
The distance between two points (x1, y1) and (x2, y2) can be calculated as:
[tex]\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2_{}}[/tex]So, if we have the expression:
[tex]\sqrt[]{(5-3)^2+(6-1)^2}[/tex]The coordinates of (x1, y1) are (3, 1) and the coordinates of (x2, y2) are (5, 6)
In the same way, for the other expression we get:
[tex]\begin{gathered} \sqrt[]{(0-4)^2+(-8+2)^2}=\sqrt[]{(0-4)^2+(-8-(-2))^2} \\ \to(x_{1,}y_1)=(4,-2) \\ \to(x_{2,}y_2)=(0,-8) \end{gathered}[/tex][tex]\begin{gathered} \sqrt[]{(2-5)^2+(0-4)^2} \\ \to(x_{1,}y_1)=(5,4) \\ \to(x_2,y_2)=(2,0) \end{gathered}[/tex][tex]\begin{gathered} \sqrt[]{(-1+1)^2+(-7_{}+3)^2}=\sqrt[]{(-1-(-1))^2+(-7_{}-(-3))^2} \\ \to(x_1,y_1)=(-1,-3) \\ \to(x_2,y_2)=(-1,-7) \end{gathered}[/tex]So, the answer in order are:
[(3, 1), (5, 6)]
[(4, -2), (0, -8)]
[(5, 4), (2, 0)]
[(-1, -3), (-1, -7)]
turn -8 7/11 into a decimal
Answer:
-8.6363 the proper answer (estimated) is -8.66
Answer:
-7.37 is the answer for this.
On October 15, WTI agreed to teach a four-month class (beginning immediately) for an executive with payment due at the end of the class. At December 31, $7,500 of the tuition revenue has been earned by WTI
The recording of the transaction in WTI's general journal at December 31, is as follows:
General JournalDate Account Titles Debit Credit
Dec. 31 Accounts receivable $7,500
Tuition fees earned $7,500
To record the tuition revenue earned.
What is the general journal?The general journal is the first accounting record for business transactions.
The transactions are recorded chronologically, that is according to the date they occur.
The general journal identifies the two or more accounts involved in any business transaction, and pinpoints the accounts to be debited and the ones to be credited, in accordance with the double-entry system of accounting.
Transaction Analysis:Dec. 31 Accounts receivable $7,500 Tuition fees earned $7,500
Thus, the earned revenue has been recorded in the general journal.
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Question Completion:Record the transaction in the general journal.
In 2017, one U.S. dollar was worth 19.61 Mexican pesos. How many dollars was 150.68 pesos worth?
By using unitary method, we get that 150.68 pesos are worth $ 7.6 .
What is unitary method?An individual or singular unit is referred to as unitary. Therefore, the goal of this strategy is to establish values in reference to a single unit. The unitary technique, for instance, can be used to calculate how many kilometers a car will go on one litre of gas if it travels 44 km on two litres of fuel.
We know 1 U.S. dollar = 19.61 Mexican pesos
Thus by unitary method, we get ;
1 Mexican pesos = 1 / 19.61 dollars
this implies 1 Mexican pesos = 0.5099
To find : 150.68 pesos worth
Therefore , 150.68 pesos worth = 150.68 × 0.5099
= 7.683 dollars
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A manager wants to buy headsets for the customer service team members to use. the headsets cost $12 each. the budget allows $155 to be used for customer service equipment, but the manager wants to save more than $20 for later in case it is needed for something else. how many headsets can the manager buy?
Using inequality we can calculate that within the budget the manager can buy 11 headsets.
Any monotonically rising function, as long as both expression portions fall inside the scope of that specific function, can be applied to both sides of an inequality without destroying the relationship between the two.
If a monotonically falling function were applied to both ends of an inequality, the inequality relationship would be inverted.
The equations for the additive reverse and the multiplicative reverse for positive numbers are two examples of employing a monotonically decaying function.
Let the manager can buy x headsets.
Cost of x headsets = 12x
Money saved = 20
Budget = 155
Therefore we write the represented inequality as :
12x + 20 < 155
or, 12 x < 135
or, x < 11.25
Now the number of headsets can not be a decimal number, therefore 11 headsets need to be bought.
Therefore the manager can buy 11 headsets.
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THIS IS URGENT ILL BRAINLIST WHOEVER ANSWER IT!!!!!!
Calculate the x and y intercept for each of these linear rules.
1) -x -y = 5
Find the rule for the line that passes through each of these pairs of points. Use : y - y1 = m(x - x1).
1) (4, -8) and (0,4)
2) (3,1) and (-3, -1)
Part 1: x and y intercept are (-5, 0) and (0, -5).
Part 2: Rule for the line is to find the slope.
What is defined as the x and y intercept?An intercept is a y-axis point whereby the slope of a line passes. It is the y-coordinate of a point on the y-axis where a straight line or a curve intersects. This is represented by the equation for a straight line, y = mx+c, where m is the slope as well as c is the y-intercept.For the given question;
Part 1: x and y intercept.
The equation of the line is -x -y = 5.
For x intercept, put y = 0.
-x -0 = 5.
x = -5
x intercept - (-5, 0)
For y intercept, put x = 0.
-0 -y = 5.
y = -5
y intercept - (0, -5)
Part 2: Rule for the line,
The equation of the line is given as;
y - y1 = m(x - x1)
Intercept point are given as
(4, -8) and (0,4)(3,1) and (-3, -1)For finding the equation of the line, find the slope using the given points and put in the equation.
The formula of slope is;
slope = m = (y2 - y1)/(x2 - x1)
Thus, slope should be know to form the equation of the line.
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HELP PLEASE
A rectangle is 32ft by 8ft. Ross dilated the rectangle and the dimensions of the image were 80ft by 20ft. What was the scale factor used?
Answer:
A rectangle is 32ft by 8ft. Ross dilated the rectangle and the dimensions of the image were 80ft by 20ft. What was the scale factor used?
Step-by-step explanation:
A rectangle is 32ft by 8ft. Ross dilated the rectangle and the dimensions of the image were 80ft by 20ft. What was the scale factor used?
Write an equation of the line giventge slope and one point.
slope 5,point (2/5 ,12)
Answer:
Step-by-step explanation:
A straight line will have the form y=mx+b, where m is the slope of b the y-intercept (the value of y when x = 0).
Slope is given as 5, That means:
y = 5x+b
We need a value of b that forces the line to gto through (2/5,12), Enter the point in the above equation and solve for b:
y = mx + b
12 = 5 (2/5) + b
12 = 2 + b
b = 10
y = 5x + 10
See attached graph.
"If you build it,they will come"-Kevin Costner from the film, Field of Dreams
1.Write the converse of this statement
2.Write the inverse of this statement
3.Write the contrapositive of this statement
The converse of the conditional statement is “If they will come then you build it”.
The inverse of the conditional statement is “If you do not build it then they will not come.”
The contrapositive of the conditional statement is “If they will not come then you not build it”.
What is the conditional statement?The conditional statement is defined as the two fundamental components that make up a conditional statement Hypothesis (if) and Conclusion (then).
The given conditional statement is "If you build it, they will come"
The converse of the conditional statement is “If they will come then you build it”.
The inverse of the conditional statement is “If you do not build it then they will not come.”
The contrapositive of the conditional statement is “If they will not come then you not build it”.
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Remy has a lending business. last month, she lent a total amount of 1,248,500. this month, she was able to collect only 878,230. how much collectible is left
The most appropriate choice for subtraction will be given by -
Remy will still get 370270
What is subtraction?
At first it is important to know about integers.
Integers are numbers which have no fractional part.
Integers can be positive, negative and zero is also an integer.
Now, to find the difference between two integers, subtraction is used.
The larger number is called minuend and the smaller number is called subtrehend.
Here,
Amount of money Remy lent = 1248500
Amount of money Remy could able to collect = 878230
Amount of money Remy will get = 1248500 - 878230
= 370270
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You pay a babysitter $30 each week for driving your children to school and $10 for each hour she watches them. Write a function in x that represents the total amount you pay your babysitter in a week. Be sure to indicate any domain restrictions.
The function x = 10y + 30 where x is the total amount paid and y is the number of hours.
The babysitter is paid $30 each week for driving the children to school and $10 for each hour she watches them.
Let x represent the total amount paid to the babysitter in a week.
Let y be the number of hours the babysitter watched the kids.
The function that represents the situation will be:
The total amount paid = Pay each week + Pay for the number of hours the babysitter watched the kids.
x = 30 + 10 × y
x = 10y + 30
The function in x that represents the total amount you paid for your babysitter in a week is x = 10y + 30.
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1/3+4.1 Write your answer as a mixed number in simplest form.
4[tex]\frac{13}{30}[/tex] is the solution of equation as a mixed number in simplest form.
Define mixed fraction.A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction. Arithmetic. a number, such as 412 or 4.5, that combines a whole number with a fraction or decimal. Rational numbers encompass all mixed numbers. 315 may be written as 165, making it a logical number. All decimals that either end or start to repeat after a certain point are considered rational numbers. Because 0.2 may be represented as 15, it is a rational number.
Given Data
[tex]\frac{1}{3}[/tex] + 4.1
[tex]\frac{1}{3}[/tex] + [tex]\frac{41}{10}[/tex]
Taking LCM,
[tex]\frac{10+123}{30}[/tex]
[tex]\frac{133}{30}[/tex]
4[tex]\frac{13}{30}[/tex] is the solution of equation as a mixed number in simplest form.
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You are a member of your local movie theaters club. every time you see a movie at the theater, you earn 2 advantage points. When you earn 100 points, you can get a free movie pass. currently you have 40 advantage points. Write an equation to model the number of movies (m) you have to watch before you earn a free movie pass. solve the equation and show your work.
Answer:
30 movies.
Step-by-step explanation:
Hey! Let's help you with your question here!
Alright, so here's what we know. When we go see a movie, we earn 2 advantage points. We need 100 points to get a free movie pass and we currently have 40 advantage points.
When writing equations like this, we need to know what the fixed values and the variable values are. The variable values are subject to change, where the fixed values, we cannot change.
In this question here, we have 40 advantage points and this is already given to us, so it cannot change. This is our fixed value. What we can change is how many times we can see a movie after that, which will earn us 2 advantage points each time. This will be our variable value.
Now that we've determined our values, let's create the formula! I will be using y to represent the total amount of points and m to represent the amount of movies seen. So, we write it as such:
[tex]y=2(m)+40[/tex]
We got our formula! Now we have to figure out how many more movies we need to watch to get our free movie pass. Since we know that is the total amount of points that we need to get, we can substitute 100 into y to solve for m which is the number of movies! It would look like this:
[tex]100=2(m)+40[/tex]
[tex]60=2(m)[/tex] - We move 40 over to the left side and subtracted 100 by 40.
[tex]\frac{60}{2}=\frac{2(m)}{2}[/tex] - We divide both sides by 2 to get rid of the 2 in front of the m.
[tex]30=m[/tex]
And there we have it! We would need to see 30 movies in order to get our free movie pass! You can double check this by taking [tex]y=2(m)+40[/tex] and substitute m with 30 and find y.
What is the value of the expression −51 − 17 − (−37)?
−68
−105
−31
−71
please get it right, I'll give you brainliest!
Answer:
c) -31
Step-by-step explanation:
Given expression,
→ -51 - 17 -(-37)
Let's solve the expression,
→ -51 - 17 -(-37)
→ -51 - 17 + 37
→ -51 + 20 = -31
Hence, the answer is -31.
A rectangle has a length of 14 units and a width of 6 units. Squares of x by x units are cut out of each corner, and then the sides are folded up to create an open box. Express the volume of the box as a polynomial function in terms of x.
Answer:
f(x) = 4x³ - 40x² + 84x=================================
The box is the right rectangular prism.
Its volume is the product of its three dimensions:
V = lwhWe need to find each dimension and multiply them to get the desired function.
GivenLength = 14 units,Width = 6 units,Cut = x units.SolutionThe height is same as size of the cut, so it is x units.
h = xThe length was 14 units but it is now cut from bot ends so it is now:
l = 14 - 2xThe width was 6 units but it is too cut from the both ends by x units:
w = 6 - 2xWe have all three dimensions, find the volume:
f(x) = x(6 - 2x)(14 - 2x) or, when distributedf(x) = x(6*14 - 6*2x - 2x*14 + 2x*2x) = x(4x² - 40x + 84) = 4x³ - 40x² + 84xV = (14 - 2x) (6 - 2x) x cubic units.
The polynomial function formed by given dats is V=(14 - 2x) (6 - 2x) x
What is polynomial function?A polynomial function is one that involves only non-negative integer powers or only positive integer exponents of a variable in an equation such as the quadratic equation, cubic equation, or exponential equation.
Here given,
A rectangle has 14 units of length and 6 units of width.
From each corner of the rectangle, four squares with dimensions of x by x units are cut out.
The box's length is equal to (14 - 2x) units.
The box's width is =(6 - 2x) units.
The box's height is = x unit.
The volume of the box is equal to the sum of its length, width, and height.
Cubic units =(14 - 2x) (6 - 2x) x
∴V=(14 - 2x) (6 - 2x) x
where V is the box's volume in cubic units
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Part A What is the first missing reason? (1 point)
-Distributive Property
-Multiplication Property of Equality
-Addition Property of Equality
-Substitution Property of Equality
Part B What is the second missing reason? (1 point)
-Distributive Property
-Multiplication Property of Equality
-Addition Property of Equality
-Substitution Property of Equality
Part C What is the third missing reason? (1 point)
-Distributive Property
-Multiplication Property of Equality
-Addition Property of Equality
-Substitution Property of Equality
The missing reasons in each of the steps involved in solving the one-variable equation are as follows;
Part A; Multiplication property of equality.Part B; Distributive property.Part C; Addition property of equality.Which reasons are missing in each of the given steps in the task content?It follows from the task content that the steps which are missing be determined.
Part A; we have;
2 { (1/2)x - 5} = 20
It follows that the expression above is derived by multiplying both sides of the equality by 2. Hence, the missing reason is; The multiplication property of equality.
Part B; Since the equation; 2 { (1/2)x - 5} = 20 is rewritten as; x - 10 = 20.
It follows that each term in the parentheses is multiplied by 2 and this concept is best described by the distributive property.
Part C; Finally, 10 is added to each side of.the equality; x - 10 = 20 which results in; x = 30.
The scenario above is best modelled by the addition property of equality.
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