9514 1404 393
Answer:
transitive property of equality
Step-by-step explanation:
The transitive property of equality says ...
if a = b and b = c, then a = c.
Here, we can use this form with ...
a = 2x+4
b = y
c = 3x-6
__
We have ...
a = b ⇒ 2x +4 = y
b = c ⇒ y = 3x -6
so, ...
a = c ⇒ 2x +4 = 3x -6 . . . . transitive property of equality.
_____
On the other hand, ...
The substitution property of equality says ...
if a = b, we can use b wherever 'a' is seen.
We can use this with ...
a = y
b = 3x -6
and do the substitution in the equation ...
2x +4 = y
Replacing y with its equal, we get ...
2x +4 = 'a' ⇒ 2x +4 = 'b' ⇒ 2x +4 = 3x -6 . . . . substitution property of equality
_____
Additional comment
These are two different ways to say that anything can be replaced by its equal.
Find the midpoint of A and B where A has coordinates (-7, 1)
and B has coordinates (3,-5).
Answer:
A (-7, 1) = (X1, Y1)
B (3, -5) = (X1, Y2)
Now,
Mid point = (X1 + X2÷2, Y1 + Y2 ÷ 2)
= {-7+3÷2, 1+(-5)÷2}
= (-4÷2, 1-5÷2)
= (-4÷2, -4÷2)
= (-2, -2)
Step-by-step explanation:
I hope it will help you to study.
How many groups of 1 & 2/3 are in 1 & 5/6? Please answer im desperate!
Answer: the answer is 2
Step-by-step explanation:
youre welcome if it helped
The hotel downtown is 8 feet taller than the bank. The hotel is 43 feet tall.
How tall is the bank?
Answer:
35 bfhdhsbzbzbbxbxbx
given: ABC - DEF prove: the perimeters P1 and P2 of ABC and DEF are the same ratio, r, as the lengths of their corresponding sides.
match each statement to its corresponding reason. scroll down to see all the choices. drag the items on the left to the correct location on the right.
Answer:
Step-by-step explanation:
A local movie theater earned $250,000 in revenue last year. What were the movie theater’s mean monthly earnings last year to the nearest dollar
Answer:
$20833 per month
Step-by-step explanation:
The _____ of a type of measurement indicates how free that measurement is from random error. Multiple Choice validity verifiability reliability utility generalizability
Answer:
Reliability
Step-by-step explanation:
Here, we want to select the option that best completes the given question
The correct answer is the reliability
When we speak of how reliable a type of measurement is, we are simply referring to how free the particular measurement is from random error
Measurements that are free from random error are said to be reliable
Isaac is purchasing two pairs of shoes—one pair for $37.00 and the second pair for $42.00. The state sales tax applied to Isaac’s bill is 7%. How much is Isaac’s total bill? If Isaac uses a coupon entitling him to a 25% discount off the purchase price before tax, how much will his bill be? Assume that a 7% sales tax is applied to the discounted price. Using words, explain how you found the discounted price. The shoe store’s clerks are paid on commission. If the clerk receives a 12% commission on total purchase amounts before tax is applied, how much would the commission be for Isaac’s purchase with and without a coupon?
Answer:
I wish I could help
Step-by-step explanation:
Haley and mia's dad said if they combined the money they've saved. He would double it.
Find equivalent expression
Answer:
I have no idea, I have been trying to figure it out
Help ASAP Simplify 2^4.
8
16
32
24
The triangles shown below must be congruent. A. True or B. False
Answer/Step-by-step explanation:
False these shapes are similar but not congruent.
All the angles are similar making the shape similar. However, the side length of Side B is equal to the length of Side A. When side A should have been equal to the length of the Side A on the other triangle.
how do you calculate the profit
What is the quotient and remainder, written as partial fractions, of StartFraction 4 x cubed + 11 x squared minus 9 Over x squared + 3 x + 2 EndFraction?
Answer:
D
Step-by-step explanation:
trust
The quotient and remainder, written as partial fractions will be [tex]4x-1 - \frac{2}{x +1} - \frac{3}{(x +2)^2}[/tex].
What are the Quotients?Quotients are the number that is obtained by dividing one number by another number.
The degree of the numerator is the same as the degree of the denominator, this fraction needs to be simplified.
The rational expression is
[tex]\frac{4x^{3} +11x^{2} -9}{x^{2} +3x+2}[/tex]
Now, the denominator needs to be factored in to split up the second part of the simplified expression into two different partial fractions.
x^2 + 3 x + 2
( x + 1) (x + 2)
The general form of partial fractions.
[tex]A + \frac{B}{x +a} + \frac{C}{(x +a)^2}[/tex]
This gives us,
[tex]4x-1 - \frac{2}{x +1} - \frac{3}{(x +2)^2}[/tex]
Learn more about quotient ;
https://brainly.com/question/730603
A family of two adults and three children went to a water park. Admission to the water park costs $18 per person. Nora used the expression 2(18)+3(18) to model the total cost for the family, and Alex used the expression 5(18). Which property of operations makes both of their expressions correct? O associative property O commutative property O distributive property identity property
Answer:
distributive property
Step-by-step explanation:
5(18)=2(18)+3(18)
Distributive property
c(a+b) = ca+cb
We are using the left hand side and adding a+b
18(2+3) = 2* 18+ 3*18
18*5 = 2* 18+ 3*18
45 girls tried out for the field hockey team. 20% of the girls who tried out did not make the team. How many girls did not make the team?
It lagged earlier when I first asked
Answer:
9 girls did not make the team
Step-by-step explanation:
20*45=900
900/100=9
Answer:
9 girls didn't make the team
Step-by-step explanation:
The person above did it a great way, and that is the way I use it, but if you want a method that involves fractions here it is: 20% is the same as 1/5. Since there are 45 girls total, we need to find 1/5 of 45 and you can achieve that by multiplying 45 by 1/5 and you get 45/5 which is 9. Hope this helped :) .
Under her cell phone plan, Lillian pays a flat cost of $47 per month and $3 per gigabyte. She wants to keep her bill at $57.20 per month. How many gigabytes of data can she use while staying within her budget?
Answer: she can use 3.4 gigabytes
Step-by-step explanation:
yes
HELP please ASAP. I am being timed, and I am very confused on these two questions, answering both questions would be really appreciated...
Which property of equality would you use -to solve the equation math8n=16
Answer:
im not sure but i do know that the letter n would be 2
Step-by-step explanation:
slope of the lines (-4,-1) and (-5,2)
PLEASE HELP!? SUPER EASY!!!!!!!!!!!!!!!!!!
Write an equation for the situation below: You bought a magazine for $3 and some candy bars for $2 each. You spent a total of $19. How many candy bars did you buy?
Answer:
9
Step-by-step explanation:
Answer:
8 candy bars.
Step-by-step explanation:
19 - 3 = 16 ÷ 2 = 8.
will mark brainliest
Answer:
photos is not
Step-by-step explanation:
clearly posted
Can you please help me:(
Answer:
B
Step-by-step explanation:
Since the y-intercept is (0,3), the second part of the equation of slope (y = mx+b) will be +3. There are three ways to find the slope. Just look at the graph and see how much y increases for every time x increases is the first way. Another way is to find two points that have WHOLE numbers. now count the distance of y between them and the distance of x between them. Now put y over x (y/x). The last way is y1-y2/x1-x2, where you choose to straight points and subtract the y from the other y and the x from the other x, then put y over x. Now we can put the whole equation together to get y = 3/2x +3. or y = 1 and 1/2x+3 (its usually an improper fraction though). Hope this wasn't confusing and helped.
After how many weeks will Andre and Elena have the same amount of money in their savings accounts?
They will have the same amount at blank weeks. They will both have $blank in their account. This is the solution because the point ( blank, blank) is blank both lines and make both equations blank?
how do I find the dimensions of my square
To find the area of a square or a rectangle, you would multiply the value of the length by the value of the width.
length x width = area
1. Measure the length of the paper (the length, in this case, is the longest part of the paper).
2. Measure the width of the paper (the horizontal, shorter part of the paper).
3. Multiply said values together to find the area with your chosen system of units.
However, if you are looking for exclusively the length and/or width, you can use a ruler to find said dimensions.
find the amount of time.
I=$450,P=$2400,r=7.5%
please help it is due today
Answer:
Time=I×100/P×T
=450×100/2400×7.5
=4years
Step-by-step explanation:
help me solve this geometry question
Answer:
a°+110°=180°[ being linear pair]
a°=180-110
a°=70°
b°=a°=70°[ being base of equilateral triangle]
c+b+a=180[being interior angle of triangle]
c+70+70=180
c+140=180
c=180-140
c=40
b
what is 2.23607 as a fraction
Answer:
559/250
Step-by-step explanation:
Answer:
223607/100000
Step-by-step explanation:
I'm not sure if this is what you wanted, but 2.23607 is 223607/100000 as a fraction because the decimal is in the 100,000th place. It can't be simplified any more, but if you were to round it would be 559/250. Hope this helps you!
Help pls I’m in trouble I need this
Answer:
We conclude that:
g(-3) = 3.5Step-by-step explanation:
Some background Concepts:
From the graph, it is clear that at x = -10, the graph intersects the x-axis.
So, the x-intercept of the graph is (-10, 0).
It means g(-10) = 0
From the graph, it is clear that at y = 5, the graph intersects the y-axis.
So, the y-intercept of the graph is (0, 5).
It means g(0) = 5
Determining g(-3):
From the graph, it is clear that at x = -3, the value of the function output = 3.5.
In other words,
at x = -3, g(-3) = 3.5
Therefore, we conclude that:
g(-3) = 3.5Does the relationship {(1,1), (2,1),(3,2), (4,3), (5,5), (6,8), (7,13)} represent a function?
Yes
Answer:
Yes.
Step-by-step explanation:
A function is a set of relations without repetitive domains.
From the given relation, there are no repetitive domains. Thus our relation here is a function.
Example of Function
{(1,1), (2,2), (3,3), (4,4), (5,5)}
Example of Non-Function
{(1,1), (1,2), (2,3), (3,4), (4,5)}
From this relation, there are two repetitive domains which are 1's. Thus not making the relation a function.
On every three hamburgers that McDonald's makes, they use 9 pickles. What is the ratio of hamburgers to pickles in simplest form?
Answer:
3 pickles per burger lol
1:3
Step-by-step explanation:
Answer:
3:9
1:3
because we know that it is 3:9 So we have to simplify it and then 3 divided by 3 equals 1 so 9 divided by 3 is 3
4. A theater has a seating capacity of 900 and charges $2.50 for children, $4 for students, and $5.50 for adults. At a certain screening with full attendance, there were half as many adults as children and students combined. The total money brought in was $3825. How many children, students, and adults attended the show?
Answer:
We have 3 variables to solve for. We will start by writing two equations in three variables but, with the given information, will eventually have those equations written in 2 variables. The strategy is to set up equations from the given information and solve the equations simultaneously. Let's assign variables...
c= #children total
s= #students total
a= #adults total
c+s+a=900.............Eq1, total attendance, given
4c+6s+8a=5600....Eq2, total receipts, given
a=(1/2)(c+s)
=(1/2)c+(1/2)s.....Eq3, #adults total, given
Let's substitute Eq3 into each Eqs1,2 to get two equations in two variables...
c+s+(½c+½s)=900.........Eq1, substitute for"s"
1.5c+1.5s=900.......combine like terms
3c+3s=1800.....Eq4, multiple equation
by 2 to eliminate fraction
4c+6s+8(½c+½s)=5600...Eq2, substitute for "s"
4c+6s+(4c+4s)=5600...distribute 8
8c+10s=5600...Eq5, combine like terms
Let's solve newly arrived at Eq4,5 simultaneuously...
3c+3s=1800......Eq4
8c+10s=5600......Eq5
-24c-24s=-14400...Eq4 multiplied by (-8)
24c+30s=16800...Eq5 multiplied by 3
------------------------
6s=2400.....add all terms vertically
∴ s=400.......divide both sides by 6
Substitute value back into Eq4, solve for "c"...
3c+3s=1800...Eq4
3c+3(400)=1800...substitute for"s"
3c+1200=1800
3c=600.....subtract 1200, both sides
∴ c=200....divide both sides by 3
Substitute values back into Eq3, solve for "a"...
a=(1/2)(c+s).............Eq3
=(1/2)(200+400)...substitute for "c,s"
=(1/2)(600)
∴ a=300.....................simplify
We now have our three variables solved. Let's substitute those values back into original Eqs1,2 to check against the problem requirements...
c+s+a=900.......Eq1
200+400+300=900....substitute for "c,s,a"
900=900......true, √check
4c+6s+8a=5600.....Eq2
4(200)+6(400)+8(300)=5600...substitute for
"c,s,a"
800+2400+2400=5600...simplify
5600=5600......true, √check
So our calculated values are correct. Always check your solutions and work!
In summary, we have...
200 children, 400 students, and 300 adults in attendance at the theater for the screening.
Step-by-step explanation:
There were total 150 childrens, 450 students and 300 adults.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is a theater that has a seating capacity of 900 and charges $2.50 for children, $4 for students, and $5.50 for adults. At a certain screening with full attendance, there were half as many adults as children and students combined. The total money brought in was $3825.
Assume that there were [x] childrens, [y] students and [z] adults. Then, we can write the equations as -
x + y + (1/2)(x + y) = 900
2.5x + 4y + (5.5)(1/2)(x + y) = 3825
Plot the graph. We will get x = 150 and y = 450.
Then -
z = (1/2)(150 + 450) = (1/2)(600) = 300
Therefore, there were total 150 childrens, 450 students and 300 adults.
To solve more questions on equation modelling, visit the link below-
brainly.com/question/6593383
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