Answers
The answer to your question is B.
Ok so here it is:
-67 ≥ 5 + 3n -21
-67+ 21 ≥ 5 + 3n -21 + 21
the 21 cancel each other out
now add -67 and 21
-46 ≥ 5 + 3n
-46 -5 ≥ 5 -5 +3n
the 5 cancel each other out
now subtract -5 from -46
-51 ≥ 3n
-51 / 3 ≥ 3n / 3
3 cancel each other out
now divide -51 and 3
n ≤ -17
B
Related Questions
so i’m doing a project and they want me to do a line bisector. so it’s just to cut the line, right? like i wouldn’t have to add arrows to the end or anything?
sooo like —————-
^ that
<————->
^ that
•—————•
or that?
Answers
Search up line bisector, i just wanna slap you, i know your mom thinks your a failure, such an idiot
The sales tax for a certain state can be found by multiplying the purchase price by 1/2. What is the sales tax on an item that is $25.60? Express your answer as a decimal.
Answers
$12.80
sales tax = [tex]\frac{1}{2}[/tex] × $25.60 = $12.80
Answer:
the answer is:12 4/5=$12.80
Step-by-step explanation:
sales tax = 1/2 × 25 3/5 = $12.80
25.60 12 4/5
Factor the perfect square trinomial completely.
7w^2-84w+252
ive got an idea how to solve it, but i need double checking
Answers
This is the result :7(x-6)(x-6)
Solve for x: 2(x-5) = 6x - (x-8)
Answers
First you need to distribute
2x-10=6x-x+8
Add like terms
2x-10=5x+8
Subtract 8 from each side
2x-18=5x
Subtract 2x from each side
-18=3x
Divide each side by 3
X=-6
2x-10=6x-x+8
2x-10=5x+8
add 10 to both sides
2x=5x+18
subtract 5x from both sides
-3x=18
divide each side by -3
x=-6
The price of a technology stock has dropped to $9.54 today. Yesterday's price was $9.61 . Find the percentage decrease. Round your answer to the nearest tenth of a percent.
Answers
Yesterday's price is the original price or the old price.
[tex]Percentage \: decrease = \frac{9.61 - 9.54}{9.61} \times 100[/tex]
[tex]Percentage \: decrease = \frac{0.07}{9.61} \times 100[/tex]
[tex]Percentage \: decrease = \frac{700}{961} = 0.728[/tex]%
Rounding to the nearest tenth means round to one decimal place.
This will give us,
0.7% decrease in price.
Therefore between yesterday and today, there was a 0.7 percentage decrease in price.
what is the greatest number of tables you could use to serve dinner to 55 guest so that each table has a different number of guest
Answers
The greatest number of tables needed to serve dinner to 55 guests, with each table having a different number of guests, is 10 tables.
Explanation:To find the greatest number of tables needed to serve dinner to 55 guests so that each table has a different number of guests, we need to distribute the guests among the tables in a way that maximizes the number of tables. We can start by placing one guest at each table, then add one more guest to each subsequent table until there are no more guests remaining. This will result in the maximum number of tables, with each table having a different number of guests.
Let's see how this works:
After distributing the guests this way, we have used 10 tables, with each table having a different number of guests. Therefore, the greatest number of tables we could use to serve dinner to 55 guests, with each table having a different number of guests, is 10 tables.
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Please help with the question
Answers
Coordinates of the triangle ABC:
A(-2,2).
B(2,1)
C(-1,-2).
And the coordinates of the dilated triangle A'B'C':
A'(-4,4)
B'(4,2)
C'(-2,-4).
We can clearly see that each x and y-coordinate of triangle ABC is being multiplied by 2 to get the coordinates of triangle A'B'C'.
Therefore, triangle ABC is being dilated by a scale factor of 2.
Which polynomial represents the difference below
(7x^2+8)-(4x^2+x+6)
A.3x^2+x+14
B.11x^2-x+2
C.3x^2+x+14
Answers
Which of the following polynomials is the correct simplified form of -21x2+22x2-13x2-10x+5x-102?
A.-12x2-5x-102
B.-12x2+5x-102
C.12x2+5x-102
D.12x2-5x-102
Answers
Answer:
A.-12x^2-5x-102
Step-by-step explanation:
We are given a polynomial of degree 2 where terms are not grouped and simplified.
We have
-21x^2+22x^2-13x^2-10x+5x-102
To get this in proper form we have to group the like terms first
x^2 term = -21x^2+22x^2-13x^2 = x^2 (-21+22-13)
= x^2(-34+22) = -12x^2
x terms are -10x+5x = x(-10+5) = -5x
Constant term is only one = -102
Hence the polynomial in simplified form is
-12x^2-5x-102
What’s the sum of the numbers 1 to 100
Answers
Remark
You can use a formula to get the right answer. Otherwise you will use a lot of paper adding 100 numbers together.
Givens
A = 1
L = 100
n = 100 numbers to be added together. There are 100 numbers between 1 and 100 numbers inclusive.
Formula
Sum = (A + L)*n/2
Solution
Sum = (1 + 100)*100/2 Substitute in the givens. Add what is inside the brackets
Sum = (101) * 100 / 2 Divide by 2
Sum = 101* 50 Multiply
Sum = 5050 Answer
The sum of the numbers from 1 to 100 is 5050
Explanation:The sum of the numbers from 1 to 100 can be calculated using the formula for the sum of an arithmetic series. An arithmetic series is a sequence of numbers where the difference between two consecutive terms is constant. In this case, the difference between successive numbers is 1.
The formula for an arithmetic series's sum (S) is S = n/2 (a + l), where n is the number of terms, a is the first term, and l is the last term.
Here, n = 100 (because we're adding the numbers from 1 to 100), a = 1 (the first number) and l = 100 (the last number). Substituting these values into the formula gives us S = 100/2 * (1 + 100) = 50 * 101 = 5050.
So the sum of the numbers from 1 to 100 is 5050.
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What is the range of the function shown in this table?
x y
3 4
4 4
5 2
6 5
A. (3, 4)
B. {3, 4, 5, 6}
C. {2, 4, 5}
D. (3, 4), (4, 4), (5, 2), (6, 5)
Answers
The answer is C. Because the range is the y-axis
or inequalities. Greater Than, >, and Less Than, <, mean the solution does NOT contain the number. So would you use and open circle or a closed circle to graph on a number line ___________________ For inequalities. Greater Than or Equal TO, >, and Less Than or Equal TO, <, mean the solution does contain the number. So would you use and open circle or a closed circle to graph on a number line?____________________
Answers
In case of inequalities we have following two rules.
Rule 1:
If we have just greater than > or less than < sign , then we would use open cirlce.
An open dot means the function has no definition at the specific point
Greater Than, >, and Less Than, <, mean the solution does NOT contain the number
Rule 2:
For inequalities. Greater Than or Equal TO, >, and Less Than or Equal TO, <, mean the solution does contain the number.
So in that case we will use closed circle.
Hope that helps.
Closed circle for the first one
Open circle for the second one
NEED HELP ASAP WILL MARK BRAINLIST PLEASE HURRY
Carrie and Juanita are saving up to start a slime business. They need at least $125 to cover their start-up costs.
To earn that money, Carrie decides to do sell cupcakes. She sells cupcakes for $0.50 each. Juanita decides that she would like to sell homemade cards. She will be selling the cards for $2.25 each. Juanita plans to make at least 35 cards. To make up the difference, Carrie plans to sell no less than 3 times the number of cards Juanita makes.
To earn that money, Carrie decides to do sell cupcakes. She sells cupcakes for $0.50 each. Juanita decides that she would like to sell homemade cards. She will be selling the cards for $2.25 each. Juanita plans to make at least 35 cards. To make up the difference, Carrie plans to sell no less than 3 times the number of cards Juanita makes.
Answers
$236.25 is how much money carrie got
$78.75 is how much juanita got
I need help with these 3 questions. 25 points!!!
1. Andrew is renting a camera that cost d dollars per day for 8 days. He can only spend $3,000. Make a inequality that Andrew can use to find all values of d within his budget
2. The movie camera shoot 24 frames per second. The scene is 4 minutes long. How many frames are there in that scene?
3. Filmmakers shoot much more film than they eventually use. The ratio of film shot to film used is called the footage ratio. Andrew shot 9 hours of film for his movie that is 1 hour and 30 minutes long. What is his footage ratio?
Answers
1. The inequality 8d ≤ 3000 when Andrew is renting a camera that cost d dollars per day for 8 days. He can only spend $3,000.
2. There are 5760 frames in that scene.
3. Andrew's footage ratio is 6, meaning he shot 6 times more film than what was eventually used in his 1 hour and 30-minute movie.
1. Let's create an inequality to represent Andrew's budget for renting the camera. The cost of renting the camera per day is represented by "d" dollars. He wants to rent it for 8 days, and his budget is $3,000.
The total cost of renting the camera for 8 days is 8d dollars. Andrew's budget is $3,000.
So, the inequality would be:
8d ≤ 3000
This inequality ensures that the total cost of renting the camera (8d) does not exceed his budget of $3,000.
2. To find the number of frames in a scene, we need to multiply the frame rate (frames per second) by the duration of the scene (in seconds).
Given:
Frame rate = 24 frames per second
Duration of the scene = 4 minutes
First, convert the duration to seconds since the frame rate is given in frames per second:
4 minutes * 60 seconds per minute = 240 seconds
Now, multiply the frame rate by the duration:
Number of frames = 24 frames/second * 240 seconds = 5760 frames
So, there are 5760 frames in that scene.
3. To find the footage ratio, we need to compare the amount of film shot to the amount of film used.
Film shot = 9 hours
Film used = 1 hour and 30 minutes
First, convert the film used to hours:
1 hour and 30 minutes = 1.5 hours
Now, divide the film shot by the film used:
Footage ratio = Film shot / Film used
Footage ratio = 9 hours / 1.5 hours
Footage ratio = 6
So, Andrew's footage ratio is 6, meaning he shot 6 times more film than what was eventually used in his 1 hour and 30-minute movie.
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(1) What is the value of the expression below?
(2.5 x 10^36)(5 x 10^-15)
_____________________
2 x 10^3
Answers
[tex] \frac{12.5 \times {10}^{21} }{2 \times {10}^{3} } [/tex]
[tex]12.5 \times {10}^{18} \times {2}^{ - 1} [/tex]
2^-1 = 1/2
[tex] \frac{12.5 \times {10}^{18} }{2} [/tex]
[tex]6.25 \times {10}^{18} [/tex]
Two buses go from Sacramento to San Diego. The express bus makes the trip in 6.8 hours and the local bus takes 10.2 hours for the trip. The speed of the express bus is 25 mph faster than the speed of the local bus. Find the speed of both buses.
Answers
Answer: Speed of local bus is 50 mph and speed of express bus is 75 mph
Step-by-step explanation:
let say speed of local bus = x
so speed of express bus = x + 25
Distance = Speed × Time
Distance traveled by local bus = x × 10.2 = 10.2x
Distance traveled by express bus = (x + 25) × 6.8
since Distance traveled by local bus is same as Distance traveled by express bus
⇒10.2x = (x + 25) × 6.8
⇒ 10.2x = 6.8x + 170
⇒ 10.2x - 6.8x = 170
⇒ x = 170/3.4 = 50
So Speed of local bus = x = 50 mph
and Speed of express bus = x + 25 = 50 + 25 = 75 mph
Final answer:
The speed of the local bus is 50 mph and the speed of the express bus is 75 mph.
Explanation:
Let's define the speed of the local bus as 'x'.
The speed of the express bus is 25 mph faster than the speed of the local bus, so the speed of the express bus can be represented as 'x + 25'.
We know that the time taken by the express bus is 6.8 hours and the time taken by the local bus is 10.2 hours.
Using the formula Speed = Distance / Time, we can set up two equations:
Distance / 6.8 = x + 25 (equation 1)
Distance / 10.2 = x (equation 2)
Since the distance is the same for both buses (Sacramento to San Diego), we can equate the distances in equation 1 and equation 2:
x + 25 = (10.2/6.8) * x
x + 25 = 1.5x
0.5x = 25
x = 50
Substituting the value of x in equation 1, we can find the speed of the express bus:
Distance / 6.8 = (50 + 25)
Distance = 6.8 * 75
Speed of the express bus = Distance / 6.8 = 75
So, the speed of the local bus is 50 mph and the speed of the express bus is 75 mph.
The price of an item has been reduced by 85%. The original price is $39.What is the price of the item now?
Answers
GIVEN:- The actual price was $39. And it is reduced to 85%.
To prove :- After reducing the actual price.
SOLUTION:- Firstly we have to find 85% of $39
=> 39× 85/100
=> 39× 0.85
=> 33.15
Now the actual price after reducing is 39 - 33.15
=> 5.85
HOPE IT HELPED YOU.
To find the new price of an item that has been reduced by a certain percentage, multiply the original price by the percentage (converted to decimal form) to find the discount. Subtract this discount from the original price to get the new price. Therefore, the new price of the item originally priced at $39 and reduced by 85% is $5.85.
Explanation:This is a basic percentage problem in mathematics. The phrase 'reduced by 85%' implies that we are subtracting 85% of the original price from the original price itself. To find the discount, we multiply the original price by the reduction rate (in decimal form). Then, to get the final price, we subtract the discount from the original price. So, if the original price is $39 and the item has been reduced by 85%, then the discount would be $39. The calculation would look like this:
First, calculate the discount: $39 * 0.85 = $33.15.Then, subtract the discount from the original price to find the new price: $39 - $33.15 = $5.85.So, the new price of the item is $5.85.
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Alexa has finished her culinary training program and is now working full-time as a chef in a hotel resort restaurant. She has tripled her salary from when she was working part-time to pay her expenses through school. How should this increased income affect her budget? Make comparisons with her previous budget and her current budget.
$800$2400Expenses
Rent
Utilities
Groceries
Savings
Bus Pass$300$60$200$100$30$300$60$250$150$30
Answers
Answer:
c.
Alexa is earning quite a bit more money than she was previously. This would be a good time for her to re-evaluate her budget. Part of the extra money she is making could be put in her savings account.
Step-by-step explanation:
Alexa's increased income has allowed her to increase her expenses in various categories, while still maintaining a balanced budget.
Explanation:Alexa's increased income will have an impact on her budget. Let's compare her previous budget and her current budget:
Previous Budget:Rent: $300Utilities: $60Groceries: $200Savings: $100Bus Pass: $30Current Budget:Rent: $800Utilities: $240Groceries: $250Savings: $150Bus Pass: $30As we can see, her expenses have increased in line with her increased income. Rent, utilities, groceries, and savings have all increased, while the cost of the bus pass remains the same.
Lydia is painting flower vases. Each vase takes 3?16 of a quart of paint. She has 21?2 quarts of paint. How many flower vases can she paint?
Answers
Answer:
56
Step-by-step explanation:
Given that Lydia is painting flower vases.
Paint required for painting one flower case = 3/16 quart
total paint available with Lydia = 21/2 quart
We have to find the no of flower cases that can be painted.
This is a problem of direct variation since when no of flower cases increase paint required also increases.
3/16 quart for 1 flower case
Hence 21/2 quart for 21/2 divided by 3/16
= 21*16/(3*2) (by rule for fraction division)
= 7(8)
= 56
Let f(x)= 3x+5 and g(x)=3x^2-x-10. Find (f/g)(x) and state its domain.
A. 2x-3; domain is the set of all real numbers
B. 1/x-2; domain is the set of all real numbers except 2
C. 3x+5; domain is the set of all real numbers
D. 2x+3/x-1; domain is the set of all real numbers except 1
Answers
Answer:
Option B
Step-by-step explanation:
Given that f(x) = 3x+5 and g(x) = 3x^2-x-10
Hence the function f/g = (3x+5)/(3x^2-x-10)
Since denominator cannot be 0 we have
3x^2-x-10 cannot be 0
i.e. x should not take values where 3x^2-x-10 =0
Solving (3x+5)(x-2) =0
x cannot take value as 2 or -5/3
So we can cancel 3x+5 and write
f/g =1/ x-2
Hence x cannot take values as 2
Option B
Option: B is the correct answer.
The function is: [tex](\dfrac{f}{g})(x)=\dfrac{1}{x-2}[/tex]
and the domain is: The set of all real numbers except 2
Step-by-step explanation:We are given a function f(x) and g(x) in terms of variable x by:
[tex]f(x)=3x+5[/tex]
and
[tex]g(x)=3x^2-x-10[/tex]
Now, the function
[tex](\dfrac{f}{g})(x)[/tex] is given by:
[tex](\dfrac{f}{g})(x)=\dfrac{f(x)}{g(x)}[/tex]
i.e.
[tex](\dfrac{f}{g})(x)=\dfrac{3x+5}{3x^2-x-10}[/tex]
[tex]3x^2-x-10=3x^2-6x+5x-10\\\\i.e.\\\\3x^2-x-10=3x(x-2)+5(x-2)\\\\i.e.\\\\3x^2-x-10=(3x+5)(x-2)[/tex]
i.e.
[tex](\dfrac{f}{g})(x)=\dfrac{3x+5}{(3x+5)(x-2)}\\\\i.e.\\\\(\dfrac{f}{g})(x)=\dfrac{1}{x-2}[/tex]
Also, the domain of the function is the set of all the real values except where the denominator is equal to zero.
The denominator is equal to zero when x=2.
Hence, the domain is the set of all the real values except 2.
Help with algebra please
Answers
1.) A - Rational Numbers
2.) C - Natural (Counting) Numbers
3.) B - Integer Numbers
3:
B-7
because it must be between 5 and 8 not including 5 and 8.
[tex]Q2.\\\\1.\ \text{All real numbers}\ \mathbb{R}\\\\2.\ \{1,\ 2,\ 3,\ ...\}\ \mathbb{N}\\\\3.\ \{...,\ -3,\ -2,\ -1,\ 0,\ 1,\ 2,\ 3,\ ...\}\ \mathbb{Z}[/tex]
[tex]Q3.\\5\ not\ \text{because it's not true}\ 5 < 5\ \text{and}\ 5 > 8\\\\7\ not\ \text{because it's not true}\ 7 < 5\ \text{and}\ 7 > 8\\\\8\ not\ \text{because it's not true}\ 8 < 5\ \text{and}\ 8 > 8\\\\9\ yes\ \text{because it's true}\ 9 > 8[/tex]
Marshall retires from the partnership of? Marshall, Mark, and Dennis. Marshall had a capital balance of? $25,000. If Marshall received? $25,000 as final? settlement, how will this transaction affect the balance sheet? items?
Answers
Marshall retires from the partnership of? Marshall, Mark, and Dennis. Marshall had a capital balance of? $25,000. If Marshall received? $25,000 as final? settlement, how will this transaction affect the balance sheet? The answer is equities will decrease.
Greg drove 660 miles in 12 hours. At the same rate, how long would it take him to drive 495 miles?
Answers
This one has two parts, first we have to find out the speed to drive 660 miles in 12 hours. Divide 660 by 12 to get the speed of 55 miles per hour, that is your rate for the next part.
Next we need to find out how long it will take to drive 495 miles at the same pace of 55 mph.
Do the same thing 495/55. That will give you your final answer.
495/55= 9
It will take him 9 hours to drive 495 miles at a rate of 55 mph.
Final answer:
Greg drives at a speed of 55 miles per hour. To drive 495 miles at this rate, it would take him 9 hours.
Explanation:
The question asks how long it would take Greg to drive 495 miles if he drove 660 miles in 12 hours. To solve this, we need to find his driving speed and then calculate how long it would take to drive 495 miles at that same speed.
First, we find the speed by dividing the distance traveled by the time:
Speed = Distance ÷ Time
Speed = 660 miles ÷ 12 hours = 55 miles per hour
Now that we know Greg drives at a speed of 55 miles per hour, we can calculate the time it would take him to drive 495 miles:
Time = Distance ÷ Speed
Time = 495 miles ÷ 55 miles per hour = 9 hours
Therefore, it would take Greg 9 hours to drive 495 miles at the same rate of speed.
__:14=15:21 is a question for ratio. The_ is the answer needed
Answers
See the attcahment
Answer: The required missing number is 10.
Step-by-step explanation: We are given to find the missing number in the following proportion :
[tex]?:14=15:21.[/tex]
Let the missing number be represented by x.
Then, according to the given information, we have
[tex]x:14=15:21\\\\\Rightarrow \dfrac{x}{14}=\dfrac{15}{21}\\\\\\\Rightarrow \dfrac{x}{14}=\dfrac{5}{7}\\\\\\\Rightarrow x=\dfrac{5}{7}\times14\\\\\Rightarrow x=10.[/tex]
Thus, the required missing number is 10.
Saul recorded the number of different types of pets his friends have in the table shown below: Cats 3 Dogs 2 Rabbits 1 Guinea Pigs 2 Which of the following plots represents the data in the table? A line with 4 tick marks labeled Cat, Dog, Rabbit, and Guinea Pig. Cat has 3 crosses, Dog has 2 crosses, Rabbit has 3 crosses, and Guinea Pig has 2 crosses. The line is labeled Number of Pets, and title of graph is Pet Owners. A line with 4 tick marks labeled Cat, Dog, Rabbit, and Guinea Pig. Cat has 1 cross, Dog has 2 crosses, Rabbit has 1 cross, and Guinea Pig has 2 crosses. The line is labeled Number of Pets, and title of graph is Pet Owners. A line with 4 tick marks labeled Cat, Dog, Rabbit, and Guinea Pig. Cat has 2 crosses, Dog has 1 cross, Rabbit has 0 crosses, and Guinea Pig has 1 cross. The line is labeled Number of Pets, and title of graph is Pet Owners. A line with 4 tick marks labeled Cat, Dog, Rabbit, and Guinea Pig. Cat has 3 crosses, Dog has 2 crosses, Rabbit has 1 cross, and Guinea Pig has 2 crosses. The line is labeled Number of Pets, and title of graph is Pet Owners.
Answers
The answer to this is the last option
Answer:
The correct answer is:
A line with 4 tick marks labeled Cat, Dog, Rabbit, and Guinea Pig. Cat has 3 crosses, Dog has 2 crosses, Rabbit has 1 cross, and Guinea Pig has 2 crosses. The line is labeled Number of Pets, and title of graph is Pet Owners.
Step-by-step explanation:
The survey is given as:
Pet Frequency
Cats 3
Dogs 2
Rabbits 1
Guinea Pigs 2
When we will draw a line plot where the horizontal axis denote the pet and the cross above the pet represent the number of pets.
Hence, as the frequency of cat is three so there will be three cross above cat.
Similarly as the frequency of dogs is two so there will be two cross above dogs.
the frequency of rabbits is one so there will be one cross above rabbit.
the frequency of Guinea Pigs is two so there will be two cross above Guinea Pigs.
Simplify the expression.
(–1 + 6i) + (–4 + 2i)
5 – 8i
–3 + 8i
–5 + 8i
3 + 8i
Answers
Answer: C
Step-by-step explanation:
Add like terms
-1 + 6i
+ -4 + 2i
-5 + 8i
Cost of 10 oranges is one dollar what is the cost of five
Answers
5 oranges = $?
To get from 10 to 5 you divide by 2 so that’s what you do with the $1 so it would be $0.50
A 39 inch piece of steel cut into 3 pieces so that the second piece is twice as long as the first piece and the third piece is three inches more than six times the first one. What are the lengths of the three pieces
Answers
The length of the first piece is 4 the second piece is 8 and the third piece is 27. Your Welcome
The problem can be solved by setting up an equation where x represents the length of the first piece. Solving for x, we find that the lengths of the three pieces are 4 inches, 8 inches, and 27 inches.
Explanation:To solve this question, you can define the length of the first piece as 'x'. According to the problem, the second piece is twice as long as the first one, so it can be represented as '2x'. And the third piece is three inches more than six times the first one, which can be represented as '6x+3'.
Because the total length of the steel is 39 inches, you can setup an equation to solve for 'x':
x + 2x + 6x + 3 = 39
This simplifies to:
9x + 3 = 39
Subtracting 3 from both sides:
9x = 36
Finally, divide each side by 9:
x = 4
Therefore, the lengths of the three pieces of steel are:
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Solve each equation over the set of complex numbers.
1. 2x^4-3x^3-24x^2+13x+12=0
2. x^3-7x^2+17x-15=0
Answers
Answer:
1. x= 4, 1, -1/2, -3
2. x= 3, 2+i , 2-i
Statement Justification
∠1 + ∠2 = 180 Definition of Supplementary Angles
∠1 + ∠4 = 180° Definition of Supplementary Angles
∠1 + ∠2 = ∠1 + ∠4 Transitive Property of Equality
is this wrong? please explain
Answers
Technically you should use "substitution" in place of "transitive property of equality", though they are very closely related ideas. If I were your teacher, then I would accept that answer as valid nonetheless.
-------------------
Substitution says that if a = b and c = b, then a = c. We replace the 'b' in a = b with 'c'. Think of your substitute teacher who replaces your current teacher for a temporary basis. This is how to remember the term "substitution.
On the other hand, the transitive property of equality says that if a = b and b = c, then a = c. The equations chain together and can simplify into one single equation.