Drag the tiles to the correct boxes to complete the pairs.
Solve the inequalities for x, and match each solution to its number line graph.
Two less than of a
number (x) is no more than .
The sum of two times a number (x)
and -2 is at least 8.
Seven subtracted from 4 times a
number (x) is more than 13.
Four added to 3 times a number (x)
is less than 19.
Number Line Graph
Inequality
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Building Inequalities to Solve Real-World Problems: Mastery Test
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Answers
Answer: Good luck guys
a) 4(9 x - 18) > 3(8x + 12)
The solution to the inequality is x > 9.
Graph A.
b) -1/3 (12x + 6) ≥ -2x + 14
The solution to the inequality is x ≥ -8.
Graph B.
c) 1.6 (x + 8) ≥ 36.4
The solution to the inequality is x ≥ 14.75.
Graph C.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
a)
4(9x - 18) > 3(8x + 12)
First, we can simplify both sides of the inequality:
36x - 72 > 24x + 36
Next, we can isolate the variable on one side by subtracting 24x from both sides:
12x - 72 > 36
Finally, we can isolate x by adding 72 to both sides:
12x > 108
x > 9
Therefore, the solution to the inequality is x > 9.
b)
-1/3(12x + 6) ≥ -2x + 14
First, we can simplify the left-hand side of the inequality:
-4x - 2 ≥ -2x + 14
Next, we can isolate the variable on one side by adding 4x to both sides:
-2 ≥ 2x + 14
Then, we can isolate x by subtracting 14 from both sides:
-16 ≥ 2x
Finally, we can divide both sides by 2, remembering to reverse the direction of the inequality because we are dividing by a negative number:
-8 ≤ x
Therefore, the solution to the inequality is x ≥ -8.
c)
1.6(x + 8) ≥ 36.4
First, we can simplify the left-hand side of the inequality:
1.6x + 12.8 ≥ 36.4
Next, we can isolate the variable on one side by subtracting 12.8 from both sides:
1.6x ≥ 23.6
Finally, we can divide both sides by 1.6:
x ≥ 14.75
Therefore, the solution to the inequality is x ≥ 14.75.
Thus,
a) 4(9 x - 18) > 3(8x + 12)
The solution to the inequality is x > 9.
Graph A.
b) -1/3 (12x + 6) ≥ -2x + 14
The solution to the inequality is x ≥ -8.
Graph B.
c) 1.6 (x + 8) ≥ 36.4
The solution to the inequality is x ≥ 14.75.
Graph C.
Learn more about inequalities here:
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Related Questions
Getaway Travel Agency surveyed a random sample of 454545 of their clients about their vacation plans. Of the clients surveyed, 212121 expected that they would go on 333 vacations in the next year. There are 516516516 Getaway Travel Agency clients. Based on the data, what is the most reasonable estimate for the number of Getaway Travel Agency clients who expect to go on 333 vacations in the next year? Choose 1 answer: Choose 1 answer: (Choice A) A 454545 (Choice B) B 241241241 (Choice C) C 275275275 (Choice D) D 467467
Answers
Answer:
A 454545 is the correct answer
Answer:
its 241
Step-by-step explanation:
i did it on khan
Write an expression equivalent to 4(6x + 12), and state the property you used to write it.
Answers
Answer:
4(6x) + 4(12) Used distributive property
Step-by-step explanation:
Answer:
distributive property
Step-by-step explanation:
4(6x) + 4(12) Used distributive property
Rachel drew the two graphs below.
Graph R
On a coordinate plane, a line goes through points (0, 0) and (2, 1).
Graph S
On a coordinate plane, a line goes through points (0, 0) and (1, 2).
Rachel says that Graph R has a greater constant of variation than Graph S. Which statement explains whether Rachel is correct?
Rachel is correct; Graph S is nonproportional.
Rachel is correct; Graph R goes farther along the x-axis.
Rachel is not correct; both graphs go through the origin and have the same constant of variation.
Rachel is not correct; Graph S is steeper than Graph R.
Answers
Answer: A
Step-by-step explanation:
Answer:
A. Rachel is correct; Graph S is nonproportional.
Step-by-step explanation:
An online furniture store sells chairs for $200 each and tables for $750 each.
Every day, the store can ship a maximum of 16 pieces of furniture and must
sell at least $6000 worth of chairs and tables. If x represents the number of
tables sold and y represents the number of chairs sold, write and solve a
system of inequalities graphically and determine one possible solution.
Answers
Natalie and John are both saving coins in jars for a rainy day. Natalie currently has 1 1/8 jars of coins, and John has 9/14 of a jar of coins. If John gets all his coins to Natalie, how many jars of coins would she have all together?
Answers
Answer:
Natalie will have [tex]1\frac{43}{56}[/tex] jars of coins all together after receiving John's coins.
Step-by-step explanation:
Given that:
Coins Natalie have = [tex]1\frac{1}{8}[/tex] jars of coins
Coins John have = [tex]\frac{9}{14}[/tex] jars of coins
When John will give all his coins to Natalie.
Total coins Natalie have = Her coins + John's coins
Total coins Natalie have = [tex]1\frac{1}{8}+\frac{9}{14}[/tex]
Total coins = [tex]\frac{9}{8}+\frac{9}{14}[/tex]
Total coins =[tex]\frac{63+36}{56}=\frac{99}{56}[/tex]
Total coins = [tex]1\frac{43}{56}[/tex]
Hence,
Natalie will have [tex]1\frac{43}{56}[/tex] jars of coins all together after receiving John's coins.
10 groups of 20 what is it
Answers
Answer:
200
Step-by-step explanation:
10*20=200.
I am not positive what you are asking but that is the answer I am able to give at this moment.
I hope I at least helped you. :)
Which equation has a solution of x = 2? Choose ALL that apply.
A.)-2(x – 4) = 4
B.)26/x=13
C.)4(x - 1) - 3(x - 2) = -8
D.)6x - 4x = 6
Answers
Answer:ibbhbh
Step-by-step explanation:
iiii
900'00'9su divided by 699.4763pt
Answers
Answer:
HI
Step-by-step explanation:
WOW
I need help asap I will give you brainlest
Answers
Answer:
Y=2
Step-by-step explanation:
YW thanks!
A dolphin is 9 feet below the surface of the ocean. If its position can be recorded as −9 feet, what would the position of 0 represent? HURRYYYYYYYYY
Answers
Answer:
the sea line
I am guessing
Step-by-step explanation:
Answer: I think it will the surface of the water
40 points!!!
PLEASE HELP I NEED IT RN!!
Answers
Answer:
parallel lines never intersect
perpendicular lines intersect at a right angle
Step-by-step explanation:
A cell phone plan costs $200 to start, then charges $50 per month to maintain the account. How much will you pay for x months of cell phone use?
How much money will you have paid (total) after 14 months of cell phone service?
NEED HELP ASAP DUUE AT 4:00 pm EST
Answers
Answer:
$900
Step-by-step explanation:
add 200 to 50 times 14
Answer:
900
Step-by-step explanation:
200+50(14)
200+700
900
Solve the inequality for w.
5 (w – 3) < 5W + 20
Answers
Answer:
All real solutions
Step-by-step explanation:
5w - 15 < 5w + 20
subtract 5w from both sides
-15 < 20
since it is true and there are no variables left. all real solutions will make this true
Answer:
w < w + 7
Step-by-step explanation:
5w-15 < 5w+20
divide all by 5 =
w < w + 7
DON’T REPLY IF YOU DON’T WATCH THE DREAM SM
So this is a work in progress, sorry Fundy looks weird, this is their reaction to Tommy getting exiled- again
Answers
Answer:
it looks decent just give it make it more detailed otherwise it looks good
Answer:
your drawing is good but I can't understand your ques
Find all possible values of b such that 4x^2+bx+3 can be factored?
Answers
Answer:13,7,8 but if there’s an answer choice go with 7,8
Step-by-step explanation: Assuming b is an integer, we first look at factors of 4, being 1 and 4 or 2 and 2. The factors of 3 are 1 and 3 only. So the factorisation possibilities are (x+3)(4x+1), (4x+3)(x+1) and (2x+1)(2x+3).
Expanding these we get: 4x²+13x+3, 4x²+7x+3 and 4x²+8x+3, giving values of b=13, 7 and 8
The possible values of b in the given polynomial are 7, 8 or 13.
What is a polynomial?In mathematics, a polynomial is an expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer powers of variables.
Given is a polynomial, 4x²+bx+3, we need to find all possible values of b such that 4x²+bx+3 can be factored.
4x²+bx+3
4×3=2×2×3
2×2×3 = 2×6 and 2+6 = 8
2×2×3 = 4×3 and 4+3 = 7
2×2×3 = 12×1 and 12+1 = 13
b=7, b=8, and b=13
4x²+7x+3 = (4x+3) (x+1)
4x²+8x+3 = (2x+1) (2x+3)
4x²+13x+3 = (4x+1) (x+3)
Hence, the possible values of b in the given polynomial are 7, 8 or 13.
Learn more about polynomial click;
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which linear function represent the table?
Answers
Answer:
Step-by-step explanation:So, if the graph is a straight line, it is the graph of a linear function. From a table, you can verify a linear function by examining the x and y values. The rate of change for y with respect to x remains constant for a linear function. This rate of change is called the slope.Mar 9, 2011
fasttt ans nthis plsssssssssssssssssssssss
Answers
Write an inequality for the graph.
The image is of a number line on which a line is drawn to the left of number -0.5 excluding it.
Answers
Answer:
hi .................
What is 6.25 as a percent?
Answers
Answer:
625%
Step-by-step explanation:
6.25 multipied by 100 equals 625.
4 water tanks can hold a total of 432.4 gallons of water. On average,
how much water can each tank hold?
Answers
Answer: 108.1 g
Step-by-step explanation:
432.4/4 = 108.1
Answer:
. umm whats the question
Step-by-step explanation:
The student council is trying to select a musical artist to play at the annual school dance. They polled a random sample of 150 students to see who they want to perform. The results were:
68 students selected Arianna Grande
59 students selected Luke Combs
23 students selected Rod Wave
If there are a total of 600 students in the 8th grade, what is the best approximation for how many students in the school selected Rod Wave?
a 153 students
b 77 students
c 272 students
d 92 students
Answers
Answer: d. 92
Step-by-step explanation: 150 time for equals 600. so all you gotta do is multiply 23 times 4
17. 2x2+ 71 = -163
19. -4x2 - 3 = 481
Directions: The roots of a quadratic equation
Answers
Answer: ayo i will do this tmrw just comment on here so i can go back and do this
Step-by-step explanation:
f(x) = 4/5x - 2
Find f(3)
[?
Answers
Answer:
f(3) = 2/5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 4/5x - 2
f(3) is x = 3
Step 2: Evaluate
Substitute: f(3) = 4/5(3) - 2Multiply: f(3) = 12/5 - 2Subtract: f(3) = 2/5Answer: 2/5
Step-by-step explanation:
We need to replace x with 3
f(x)= 4/5*(3)-2= (12/5)-2=(12-10)/5= 2/5
Does anyone know the answer
Answers
Answer:
the answer is d
Step-by-step explanation:
For 55 you times the average by the time it took and you get 55 same with kick 2 so kick 3 would be 2 seconds because 15 times 2 is 30
find x if 20% of x equals 12% of (x + 20)
Answers
Answer:
x = 30
Step-by-step explanation:
We have to find x
Given that:
20% of x = 12 % of (x +20)
This can be written as:
0.2(x) = 0.12 (x + 20)
0.2x = 0.12x + 2.4
Subtracting 0.12x from both sides we get:
0.2x - 0.12x = 0.12x - 0.12x + 2.4
0.08x = 2.4
Dividing both sides by x we get:
0.08/0.08x = 2.4/0.08
x = 30
Answer:
x = 30
Step-by-step explanation:
Set up an equation:
0.2x = 0.12(x + 20)
Distribute 0.12 and solve for x:
0.2x = 0.12x + 2.4
0.08x = 2.4
x = 30
So, the answer is x = 30
simplfy -3+7 ooooooooooooooooooooooooooooooooooooooooooooooooo
Answers
Answer:
Add -3 and 7. 4
Step-by-step explanation:
Uh ur welcome
Answer:
4
Step-by-step explanation:
I do it this way whenever there is a - and a - I just add them but add negative sign. IF like in this problem - and a + I subtract...
Hope this helps :3
help me please it's due at 10:00
Answers
Answer:
Step-by-step explanation:
1.
-3 + 8x ≥ 21
+3 +3
8x ≥ 24
divide both sides by 8
x ≥ 3
2.
d is false, because when you plug 5 in for x the solution would come out to be 19 < 17
Hope this helps!!! happy holidays!!
Answer:
1. x ≥ 3
2. d. 5
Step-by-step explanation:
The line models the cost of renting a bike. It costs $2 per hour plus a $4 deposit. Write an equation in slope-intercept form for the line where x is the number of hours a bike is rented and y is the total cost of renting a bike.
Answers
The equation of the line will be written as y=2x+4 because $2 per hour and then adding your $4 deposit.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given that the line models the cost of renting a bike. It costs $2 per hour plus a $4 deposit.
The equation of the line is,
y = 2x + 4
Here, $2 per hour and then add your $4 deposit.
To know more about an equation of the line follow
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Joshua chose a mystery number. His mystery number is a factor of 42. Which number could be Joshua's mystery number?
A). 5.
B). 3.
C). 4.
D). 9.
Answers
Answer:
c. 3
Step-by-step explanation:
5 can only have factors like 10, 15. 4 is not it because 4x10 is 40 and it cant be 42 and then 9x5 is 45. Your welcome. Pls mark brainliest :)
Maria earns $40 washing 5 cars. At this rate, how much does Maria earn washing 6 cars?
Answers
Answer:
$240
Step-by-step explanation:
40 x 5 = 200
40 x 6 = 240 (basically just adding forty dollars)