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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
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Step-by-step explanation:
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Answer:
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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
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height of the base of the prism = 1.5 x 4 = 6
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Volume of the prism = 18 x 8 = 144 m^3
Answer:
D. 144 m^3
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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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.
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Create 2 equivalent expressions
4(2x1.5x)+10
Answers
ANS: 2 (12e^2inx^3prs^3 o + 10
Step-by-step explanation:
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Answers
Answer:
Step-by-step explanation:
A4 means the 4th number so it would be 17.
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
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In trail mix, the ratio of cups of
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candies is 3 to 2. How many cups
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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??
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Answer:
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Step-by-step explanation:
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
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Answers
Answer:
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Step-by-step explanation:
Not sure if you have A switched around but it is 4,36.
Answer:
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Step-by-step explanation:
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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:
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plug into the formula
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subtract
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divide
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Answers
Answer:
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answers
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Answers
Answer:
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Step-by-step explanation:
Answer:Soak it in warm water with shampoo over night then let it dry
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}
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Answer:
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Step-by-step explanation:
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water level in the cooler as she empties it. Which best describes the rate of
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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
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Answers
Answer:
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Step-by-step explanation:
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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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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
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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
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[tex]\sqrt{b^2}[/tex] = [tex]\sqrt{81}[/tex]
b = 9 cm
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
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
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