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Solve the inequality -5/2 (3x-2)<6-2x. For full credit, you will need to show and explain every step. You may add more lines if you need them
Answers
Answer: Answer: x> -2/11
Step-by-step explanation: Multiply both sides of the inequality by the least common denominator: 2 (-5/2(3x-2))<2x6-2x2x
Reduce the expression to the lowest term: -5(3x-2)<2 x 6-2 x 2x
Apply Multiplicative Distribution Law: -15x + 10< 2 x 6 -2 x 2x
Multiply the monomials:-15x + 10< 2 x 6 - 4x
Calculate the product or quotient: -15x + 10<12-4x
Rearrange unknown terms to the left side of the equation: -15x + 4x< 12 - 10
Combine like terms: -11x < 12 - 10
Calculate the sum or difference: -11x<2
Divide both sides of the inequality by the coefficient of variable: x > 2 ÷(-11)
Rewrite as fraction: x> 2/-11
Rewrite the fraction: x> -2/11
Answer: x> -2/11
The solution to the inequality is x>-2/11.
The given inequality is -5/2 (3x-2)<6-2x
We need to simplify the given inequality step by step.
How to solve inequality?To solve an inequality, isolate the variable on one side with all other constants on the other side. To accomplish this, perform opposite operations to manipulate the inequality. First, isolate the x by multiplying each side by two. Whatever you do to one side you must also do to the other side.
Now, multiply both sides of the inequality by 2.
That is, -5(3x-2)<2(6-2x)
=-15x+10<12-4x
Add both sides of the inequality by 4x.
That is, -15x+10+4x<12-4x+4x
=-11x+10<12
Subtract 10 on both sides of the inequality.
That is, -11x+10-10<12-10
-11x<2
Divide both sides of the inequality by -11.
x>-2/11
Therefore, the solution to the inequality is x>-2/11.
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Related Questions
The two triangular prisms shown are similar. What is the volume of the larger prism? 36 m2 36 m3 144 m2 144 m3
Answers
Answer:
144 m^3
Step-by-step explanation:
Please find attached the image of the prisms
Volume of a triangular prism = area of the base x height of the prism
Area of the base = 1/2 ( base x height)
the two prisms are similar, thus, the dimensions of the bigger rectangle can be gotten from the ratio of the base of the smaller and bigger triangle
ratio of their dimensions = 6 / 1.5 = 4
the dimensions of the bigger triangle is 4 times that of the smaller triangle
height of the base of the prism = 1.5 x 4 = 6
Height of the prism = 2 x 4 = 8
Area of the base of the prism = (1/2) x 6 x 6 = 18 m^2
Volume of the prism = 18 x 8 = 144 m^3
Answer:
D. 144 m^3
Step-by-step explanation:
Just took the Pre-Test on Edg (2020-2021)!!
PLS HELP 55 POINTS PLSS NO LINKS PLS HELPP
Answers
Answer:
12. 114 Laps
13. 234 students don't ride the bus.
14. 1.5% of 26,500.60 is 397.50 so the answer is $26,500.60
15. 24% × 63.4 = 15.2 so the original weight of the bag is 63.4 pounds
Step-by-step explanation:
4(5+ab) where a=-3.5 and b-0.8
Answers
Answer:
31.2
Step-by-step explanation:
4(5 + (- 3.5 × - 0.8)
4(5 + 2.8)
4(7.8)
31.2
63° x Find the unknown angle measure
Answers
Answer:
The angle of the unknown measure is 27°.
Step-by-step explanation:
When we look at this angle, we can see it is a 90° angle. Since we already have 63° of the angle, we just subtract 90° from 63° and we get 27°. Therefore, 27° is our answer.
A 12-foot ladder is propped against a vertical wall. The top end is 11 ft above the
ground. What is the measure of the angle formed by the ladder with the ground?
If you plan on giving me a link just keep moving. Don’t even stop to answer this. The. links. don’t. Help.
But if you can actually answer the question and help me understand how you got it that would be awesome.
Answers
Answer:
it's prolly a 45 degree angle of less if the top is 11 feet off the ground
Step-by-step explanation:
if you think about it you get the picture in your head of the room and the position of the ladder against the wall. hope it helps
Whats the measure of angle M in the figure below
Answers
Answer:
73
Step-by-step explanation:
180-(39+68)
180-(107)
=73
M=73
Answer: 73 degree
Step-by-step explanation:
Every triangle the measurment
of the whole trinagle is 180 degree. So 180-39-68=73
So the measurment for angle M is 73 degree.
What is 12 - 33/4 equal in fraction form?
Answers
Answer:
3. 3/4
hope this helps
The expression 12 - (33/4) is equal to 15/4.
To express 12 - (33/4) as a fraction, we need to find a common denominator for the subtraction. The common denominator should be a multiple of 4, which is the denominator of (33/4).
We can rewrite 12 as an equivalent fraction with a denominator of 4:
12 = 48/4.
Now, we can rewrite the expression as:
48/4 - 33/4.
Since the denominators are the same, we can subtract the numerators directly:
(48 - 33) / 4 = 15/4.
Therefore, 12 - (33/4) is equal to 15/4.
In fraction form, the result is 15/4. This means that when we subtract 33/4 from 12, the answer can be represented as the fraction 15/4.
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Solve for missing unit (Pythagorean theorem)
Answers
Answer:
Missing side is 9 cm
Step-by-step explanation:
a^2 + b^2 = c^3
(12)^2 + b^2 = (15)^2
144 + b^2 = 225
b^2 = 81
[tex]\sqrt{b^2}[/tex] = [tex]\sqrt{81}[/tex]
b = 9 cm
For a biology assignment, Karen records the height of a plant over time. The
plant was 12 cm tall when she started the assignment. She notices that the
plant grows 6 cm every week.
Which point is on her graph?
A. (36, 4)
B.(3, 24)
C.(3, 32)
D.(1, 12)
Answers
Answer:
The answer is (4,36)
Step-by-step explanation:
Not sure if you have A switched around but it is 4,36.
Answer:
on the final exam its 2,24
Step-by-step explanation:
What is the slope of (10,3) and (2,3)
Answers
Answer:
m=0
Step-by-step explanation:
the formula given for slope (m) calculated from two points is given as (y2-y1)/(x2-x1)
we are given the points (10,3) and (2,3)
label the values of the points to use for the formula:
x1=10
y1=3
x2=2
y2=3
plug into the formula
m=(3-3)/(2-10)
subtract
m=0/-8
divide
m=0
therefore, the slope is 0
Hope this helps! :D
0/-8
i’m not very good at explaining but that is the answer ^^
I've given up on math, help would be wildly appreciated
Answers
Answer:
1. [tex]\frac{2}{3}[/tex] probability
2. head represents cats (let's say) and tails represent dogs, flip two coins to determine whether the family has 2 cats or 2 dogs or 1 cat and 1 dog.
3. Take two coins, flip them, record heads and tails of each flip for 50 flips (I ain't no doing this)
4 - 6. answer these questions based on the data you got...
The End
Maggie has exactly 20$ to buy decorations for the dance. Streamers cost 2$ per roll and balloons are 1.50$ per package. Which set of purchases is closest to her budget??
Answers
Answer:
675esa espuesatr
Step-by-step explanation:
En un salón de clase, el número de mujeres equivale al 80% del total de sus asistentes, si se retiran el 20% de dichas mujeres ¿Qué porcentaje del resto son hombres?
Answers
Answer:
This is an english server
Graph the function y = 6 – 2x. Click the intercepts to show the coordinates.
Answers
Answer:
Step-by-step explanation:
Let's find and use the intercepts. They speed up graphing of lines.
y-intercept: In y = 6 – 2x, let x = 0. Then y = 6, and the y-intercept is (0, 6).
x-intercept: In y = 6 – 2x, let y = 0. Then 2x = 6, and x = 3. The x-intercept is therefore (3, 0).
Plot these two points and then draw a line through both.
In trail mix, the ratio of cups of
peanuts to cups of chocolate
candies is 3 to 2. How many cups
of chocolate candies would be
needed for 9 cups of peanuts?
Answers
A local hamburger shop sold a combined total of 483 hamburgers and cheeseburgers on Thursday. There were 67 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Thursday?
Answers
Answer:
416, I believe this is the answer.
Step-by-step explanation:
483 - 67 = 416
Foram vendidos 416 hambúrgueres na quinta-feira
I know this has nothing to do with school but I bought a new brush set for makeup and one brush was a bit weird so if anyone knows what it’s for please tell me
Answers
Answer:
It’s just messed up obviously just not made right
Step-by-step explanation:
Answer:Soak it in warm water with shampoo over night then let it dry
Step-by-step explanation:
jess travels 5 miles to school and pam travels 10 km. Who travels further? plz help i got 2 minutes ti answer
Answers
Answer:
pam
Step-by-step explanation:
10k is over 6 miles
Which of the following is a prime number between 50 and 60?
A.
55
B.
53
C.
57
D.
51
Answers
Answer: B, 53
53 is the only prime number between 50 and 60
HELP ASAP!!
Ariel is emptying the water from a 10 gallon cooler. The graph shows the
water level in the cooler as she empties it. Which best describes the rate of
change shown in the graph?
DO NOT PUT YOU FAKE FILES HERE !
Answers
Answer:
Step-by-step explanation:
The water level decreases 2 gallons every 3 seconds describes the rate of change shown in the grap
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given that Ariel is emptying the water from a 10 gallon cooler.
The graph shows the water level in the cooler as she empties it
Rate of change is change in water to change in time
(3, 8) and (0, 10) are the points from graph
Rate of change = 10-8/0-3
=-2/3
The minus sign is showing that is is decreasing
The water level decreases 2 gallons every 3 seconds
Hence, the water level decreases 2 gallons every 3 seconds describes the rate of change shown in the graph.
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PLES HALP 30 points pic down below
Answers
Answer:
the answer is -4,3
Step-by-step explanation:
the x axis goes first then the y axis
Answer: it would be A
Step-by-step explanation: It's located at -4 but when you go up you count 3 so therefor it is (-4,3)
Solve the system of linear equations. 3x−2y=1 9x−6y=3
Answers
-2y= -3x + 1
Divide -2 to everything
y= 3/2x - 1/2
Other equation (get y by itself)
-6y= -9x + 3
y=3/2x - 1/2
Use substitution
3/2x-1/2=3/2-1/2
0=0
All real numbers (any value of x makes the equation true)
Solve b+12≤26. Graph the solution
Answers
Answer:
The answer is
b≤14
So you make a filled in circle at 14, make the point for left from there.
What is the greatest factor of 16x and 12?
Answers
Answer:
4
Step-by-step explanation:
hope that helps!
Create 2 equivalent expressions
4(2x1.5x)+10
Answers
ANS: 2 (12e^2inx^3prs^3 o + 10
Step-by-step explanation:
solve for x and ___
help pls
Answers
Answer:
-10
10
Step-by-step explanation:
Answer:
sorry
Step-by-step explanation:
Which relation is displayed on the graph?
A: {(-3, -1), (2, 2), (0, 1), (1, 3) (-2, 4)}
B: {(-3, -1), (-2, 2), (1, 0), (3, 1), (4, -2)}
C: {(-3, -1), (2, -2), (1, 0), (3, 1) (4, -2)}
D: {(-1, 3), (-2, -2), (0, 1), (3, 1) (4, 2}
Answers
Fund the value of a4
Answers
Answer:
Step-by-step explanation:
A4 means the 4th number so it would be 17.
John wanted to buy his favorite rubber shoes. Its original price is $105. He is lucky today because the shoes that he wanted to buy is 30% off the original price. How much will John pay now for his shoes?
Answers
Answer:
The answer is 31.5
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 105 × 30/100
Discount = 105 x 0.3
You save = $31.50
If (x - 2)2 + 5(x - 2) = -6, which of the following could be the value of x - 2?
A
-1
B
-3
C
-4
D
-5
Answers
Answer: A. -1
Step-by-step explanation:
(x - 2)2 + 5(x - 2) = -6
2x-4 + 5x -10= -6
Combine like terms
7x-14=-6
Add 14 to both sides
7x=8
Divide
X= 8/7 or 1.14 (rounded)
1.14 - 2= -0.86 which can be rounded to -1