Drag each tile to the correct location on the algebraic problem. Not all tiles will be used,
Fill in the missing steps and justifications used to solve the given equation.
Subtraction property of equality
61 - 7 - 12 = 12 + 7
Simplification
61 - 7 + 7 = 12 +7
Addition property of equality
Multiplication property of equality
1 = 114 = =
41-7 = -20 +12
1. Given
43 - 7 + 20 = -21 + 12 + 23
2. Addition property of equality
6.3 - 7 = 12
3.
4.
63 = 19
5. Simplification
6. Division property of equality
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Answers
Answer/Step-by-step explanation:
4x - 7 = -2x + 12 (Given)
Add 2x to both sides
4x - 7 + 2x = -2x + 12 + 2x (Addition property of equality)
6x - 7 = 12 (Simplication)
Add 7 to both sides
6x - 7 + 7 = 12 + 7 (Addition property of equality)
6x = 19 (Simplification)
Divide both sides by 6
[tex] \frac{6x}{6} = \frac{19}{6} [/tex] (Division property of equality)
[tex] x = \frac{19}{6} [/tex]
The correct justification, provides the right reasons for the given
mathematical operation.
Responses:
3. Simplification
6·x - 7 + 7 = 12 + 7 [tex]{}[/tex] 4. Addition property of equality
How are the correct justifications found?The two column solution is presented as follows;
Step [tex]{}[/tex] Justification
4·x - 7 = -2·x + 12 [tex]{}[/tex] 1. Gives
4·x - 7 + 2·x = -2·x + 12 + 2·x [tex]{}[/tex] 2. Addition property of equality
6·x - 7 = 12 [tex]{}[/tex] 3. Simplification
6·x - 7 + 7 = 12 + 7 [tex]{}[/tex] 4. Addition property of equality
6·x = 19 [tex]{}[/tex] 5. Simplification
[tex]\dfrac{6 \cdot x}{6} = \dfrac{19}{6}[/tex] [tex]{}[/tex] 6. Division property of equality
Learn more about the properties of equality here:
https://brainly.com/question/4207575
Related Questions
its the final brain cell.
(intense music)
help this is easy WiLL mArK bRaiNLieSt
Answers
1. Find the vector represented by the directed line segment drawn from the point (3,5) to point B(-1,2). Also, find it's magnitude.
Your Answer:
Answers
Answer:
Magnitude is 5
Step-by-step explanation:
Using the formula for calculating the distance between two points expressed as:
D = √(x2-x1)²+(y2-y1)²
Given the coordinates (3,5) and (-1,2)
D = √(2-5)²+(-1-3)²
D = √(-3)²+(-4)²
D = √9+16
D = √25
D = 5
Hence the magnitude is 5
What is the difference between the 7th square number and the 4th square number?
Answers
The sum of two numbers is 17 and the difference is 5
Answers
The both equal 17 with a 5 as the difference
they add together to make 17
11-6=5
hope this helped:)
brainliest?
A recipe calls for 4 0z of raisins. If I
use 224 0z of raisins, how many
batches of this recipe did I make?
Answers
Find the slope of the line through the given points. (3,4) and (8,-3)
Answers
Answer:
The slope is -7 / 5
Could anybody answer the question?
Answers
Answer:
1.2×1.3=1.56
Step-by-step explanation:
1.2 ×1.3=1.56
Answer:
1.2
Step-by-step explanation:
x+1.3=1.56
x=1.56
1.3
=1.2
Need help pleaseeeee:)
Answers
Answer:
75 + 64 = 139
Step-by-step explanation:
The measure of the exterior angle is 139
Answer:
2= 139
Step-by-step explanation:
A triangle is 180 degrees.
64+75= 139
180-139=41
A line is also 180 degrees
180- 41= 139
Alan, Bill, and Calvin are playing a game with collectible cards. At the moment, Alan has 11 less than 2 and a half times the number of cards Bill has. Calvin has 1 more than 1 and a half times the number of cards Bill has. If Calvin and Alan have the same number of cards, the number of cards Bill has is
Answers
Answer:
Hope it helps) and HAPPY NEW YEAR MY DEAR
Step-by-step explanation:
Let A be the number of cards Alan has
B be the number of cards Bill has
C be the number of cards Calvin has
Alan had 11 less than 2 1/2 times the number of cards bill has.
is 2.5
Alan is 2.5 of bill has minus 11
A=2.5B -11
Calvin has 1 more than 1 1/2 times the number of cards bill has.
is 1.5
Calvin is 1.5 of bill has plus 1
C=1.5B + 1
Alan and Calvin have the same number of cards
So A=C
WE plug in A and C equations and solve for B
2.5B -11 = 1.5B + 1 (subtract 1.5B on both sides)
1B -11 = 1 (Add 11 on both sides)
B = 12
If Alan and Calvin have the same number of cards, the number bill has is 12
The number of cards Alan and Calvin each have is 19
Total cards = 12 + 19 + 19 = 50
If Alan, bill, and Calvin have all the cards in the deck then the deck has 50 cards.
in an examination 40% students passed in math only, 30% passed in Science only, and 10% students failed in both the subjects .if 400 students passed in Science find the total number of students by drawing a Venn diagram.
Answers
Answer:
40% of the student is 160
30% of the students is 120
10% of the students is 40
the remain is ___
160 + 120 + 40= 320
400 -320 = 80
meaning 160 students passes only math (40%). 120 students passed on science (30%). 40 students fail both subjects (10%) and 80 students passes both subjects (20%)
Solve for the missing variable, PLEASE HELP! I know its a lot- I Will give brainiest for ALL correct answers!!!
Solve for missing variable:
-3x +9= -18
2x -14 = -9
x/2 +8 = -24
-2.5x -10 = 40
-6x -10 = 20
50= 2x + 12
x/2 - 7 = -10
THANK YOU ALL! <3 (´▽`ʃ♡ƪ)
Answers
Answer:
x=2.5 for the second question!
x= -8.3 repeating for the 5th question
Step-by-step explanation:
Answer:
1. x = 9
2. x = 5/2
3. x = -64
4. x = -20
5. x = -5
6. x = 19
7. x = -6
Step-by-step explanation:
1.
-3x + 9 = -18
-3x = -27
x = 9
2.
2x - 14 = -9
2x = 5
x = 5/2
3.
x/2 + 8 = -24
x/2 = -32
x = -64
4.
-2.5x - 10 = 40
-2.5x = 50
x = -20
5.
-6x - 10 = 20
-6x = 30
x = -5
6.
50 = 2x + 12
38 = 2x
19 = x
x = 19
7.
x/2 - 7 = -10
x/2 = -3
x = -6
the answer to the question.
Answers
Answer:
answer attached in pic ture
Answer:
1/16
Step-by-step explanation:
it is the same as
[tex]\frac{1}{8^\frac{4}{3}} = \frac{1}{ {(\sqrt[3]{8})}^4} = \frac{1}{2^4} = \frac{1}{16}[/tex]
The computer lab is removing the 3 broken computers and adding 13 wireless touchscreen devices. About what percent of the lab are wireless devices?
Answers
Answer:
about 81 percent
Step-by-step explanation:
3/16=0.812...
Joe wants to purchase
an Iphone 12 for $250.
The actual price for an
Iphone 12 is $699.
What is Joe's percent
error?
Answers
Answer:
64.23%
Step-by-step explanation:
Percent error
(699-250)/699 x 100 = 64.23
Answer: the answer is 64%
Step-by-step explanation:
please solve this a+7=2
Answers
Answer:
a=-5
Step-by-step explanation:
a+7=2
move the constant to the right
a=2-7
then calculate the difference
a=-5
So a=-5 is your answer
so basically A equals -5
A table representing the function f(x)=2(3/2)*x is show below, what is the true given function?
Answers
Answer:hope it helped
Step-by-step explanation:
A function is always a relation
Which proportion could be used to find the length of side b?
6
720
859
A
6.2
Answers
Answer: Choice C) [tex]\frac{\sin(23)}{6.2} = \frac{\sin(85)}{b}[/tex]
=========================================================
Explanation:
The angle opposite side b is 85 degrees. So we'll involve either the fraction [tex]\frac{\sin(85)}{b}[/tex] or [tex]\frac{b}{\sin(85)}[/tex]. In this case, we will use the first fraction. This is due to all of the answer choices having sine on top.
The other fraction must have sine on top as well.
The known side is AB = 6.2; the opposite angle is C = 23 which you find by solving A+B+C = 180 and plugging in A = 72 and B = 85.
So the other fraction we'll use is [tex]\frac{\sin(23)}{6.2}[/tex]
Overall, the proportion we can set up is
[tex]\frac{\sin(23)}{6.2} = \frac{\sin(85)}{b}[/tex]
which points to choice C as the final answer.
This venn diagram represents the science subjects studied by students what is the probability that a student,chosen at random,studies physics and chemistry or both ?
Answers
Answer:
Step-by-step explanation:
Looking at the Venn diagram :
The total number of students surveyed is 7+5+8+6+2+4+3+6 = 41
The number of students that studies physics is = 14
The number of students that studies chemistry is = 21
Probability = number of favorable outcomes / total number of outcomes
Therefore the probability that a student chosen at random studies physics and chemistry or both is 35/41 = 0.85
Randy and Jake each have a collection of soccer
trophies, Jake has 13 fewer than twice as many
soccer trophies as Randy. When they combine
their collections, there are 35 trophies in all. How
many soccer trophies are in Jake's collection?
A. 11
B. 16
C. 19
D. 24
Answers
Answer:
Answer is 19 trust me
Step-by-step explanation:
You throw a ball into the air from a height of 5.5 feet with an
initial vertical velocity of 40 feet per second. Use the vertical
motion model, h = -16t2 + vt +s, where v is the initial
velocity in feet per second and s is the height in feet, to
calculate the maximum height of the ball. Round your answer
to the nearest tenth if necessary.
Maximum height: feet
Answers
Answer:
30.5 feet
Step-by-step explanation:
Write the equation that represents the line shown.
Answers
Answer:
[tex]y = - x + 2[/tex]
Step-by-step explanation:
[tex]y = mx + b[/tex]
[tex]y = \frac{ - 2}{2} x + 2[/tex]
[tex]y = - x + 2[/tex]
Which company should Jeffrey choose if he wants to pay the lowest total cost for an event with 30 attendees?
Answers
Answer:
Alonzo Appetizers
Step-by-step explanation:
Cost of 30 people for Alonzo is $1400 while cost of Ben's is $2250
1) Graph by making a
table.
y=1/2x+2
Answers
Answer:
Below.
Step-by-step explanation:
You can use any 4 x values, so we could have:
- 2 0 2 4
Now find the corresponding y values by substitution in the equation:
For x = -2, y = 1/2 *-2 + 2 = 1.
For x = 0, y = 1/2 * 0 + 2 = 2.
For x = 2 , y = 1/2* 2 + 2 = 3.
For x = 4 , y = 1/2 * 4 + 2 = 4.
So the table is:
-2 0 2 4
1 2 3 4
You then plot the points (-2, 1), (0, 2), (2, 3) AND (4, 4) on the grid and draw a line through them The graph will be a straight line.
Which algebraic expression is equivalent to the expression below?
A.
B.
C.
D.
Answers
Answer:
I don't know
Step-by-step explanation:
I see now question below so can not answer.
What is the dum of the next two numbers in the pattern 169,120,84,59,43,_,_
Answers
Answer:
*sum
Step-by-step explanation:
i am not sure. But I just wanted to correct it for someone else
GIVING BRAINLIEST OUT FOR WHOEVER IS CORRECT AND FAST!
All factors of 40, 41, 3526, and 1001.
Answers
Answer:
Step-by-step explanation:
factors for
40=1,2,4,5,8,10,20,40
41=1,41 prime
3526=1,2,41,43,82,86,1763,3526
1001=1,7,11,13,77,91,143,1001
Answer:
Factors Of 40 in Pairs
1 × 40 = 40.
2 × 20 = 40.
4 × 10 = 40.
5 × 8 = 40. Therefore, the factors in pairs are (1, 40), (2, 20), (4, 10) and (5, 8).
Factors of 41: 1, 41
Factors of 3526 =1, 2, 41, 43, 82, 86, 1763, 3526.
1, 7, 11, 13, 77, 91, 143, and 1001. Factors of 1001 include negative numbers.
Step-by-step explanation:
What is the slope of y=-4x-3
Answers
Answer:
Using the slope-intercept form, the slope is 4 .
Answer:
the slope of this is 10
Step-by-step explanation:because while you solve -4 and x-3 you have to divide then subtract to the point get to ten. hope this helps
Factor the following expression x^2+5x+6
Answers
Answer:
(x + 2) (x + 3)
Step-by-step explanation:
x² + 5x + 6
x² + 3x + 2x +6
-3 5/6 make it a decimal
Answers
Answer:
-3.56 i think .
Step-by-step explanation:
i need help asappppp
Answers
Answer:
∠1 = 40
Step-by-step explanation:
So due to the alternate interior angles theorem, angle 1 and angle 2 equal each other so:
2x + 20 = 3x + 10
subtract 2x from both sides
20 = x + 10
subtract 10 from both sides
10 = x
Now input 10 into the equation
2(10) + 20
20 + 20
40