Which number line represents the solution set for the inequality 3(8 - 4x) < 6(x - 5)?
-5
-4
-3
-2
+
4
-1
0
+
5
1
2
3
-5
-4
-3
-2
-1
+
1
+
2
0
3
4
5
+
-5
-4
-3
-2
-1
+
1
+
2
+
3
+
4
O
5
o
-5
-4
-3
-2
+
1
-1
0
2
2
3
3
4
st
5
Answers
Answer:
Option 2 is correct .
Step-by-step explanation:
A inequality is given to us , and we need to find the solution set for it. The given inequality is :-
⇒ 3(8 - 4x) < 6(x - 5)
⇒ 24 - 12x < 6x - 30
⇒ 24 +30 < 6x + 12x
⇒ 54 < 18x
⇒ x > 54/18
⇒ x > 3
This means that x can have all values Greater than 3 . Hence x can have all real numbers greater than 3 . Hence the Solution set will be x ∈ ( 3, ∞ ) . From the number lines given in the option second option is correct .
The solution set is x ∈ ( 3 , ∞ ) .And the second option is correct.I have also attached the graph . The red area shows the possible values of x.
The solution is : Option 2 is correct .
What is inequality?An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.
here, we have,
A inequality is given to us , and we need to find the solution set for it. The given inequality is :-
⇒ 3(8 - 4x) < 6(x - 5)
⇒ 24 - 12x < 6x - 30
⇒ 24 +30 < 6x + 12x
⇒ 54 < 18x
⇒ x > 54/18
⇒ x > 3
This means that x can have all values Greater than 3 . Hence x can have all real numbers greater than 3 .
Hence the Solution set will be x ∈ ( 3, ∞ ) . From the number lines given in the option second option is correct .
The solution set is x ∈ ( 3 , ∞ ) .And the second option is correct.
Here, attached the graph . The red area shows the possible values of x.
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Related Questions
what is 4 3/7 as a improper fraction
Answers
Answer:
4 3/7 as an improper fraction is 31/7
Answer:
31/7
Step-by-step explanation:
4 3/7
4 x 7 = 28
28 + 3 = 31
31/7
Which size Dairy Queen blizzard gives you the best price per ounce
Small 6oz. Cup for $2.49
Large 16oz. Cup for $4.98
Medium 10oz. Cup for $3.49
Supper size 24oz. Cup for 7.69
Answers
medium- 3.49/10 = 0.349 per oz
large- 4.98/16= 0.31125 per oz
super size- 7.69/24= 0.32 per oz
therefore large is the best price!
The Large blizzard has the lowest cost per ounce at $ 0.31125/oz
Given data ,
To determine the best price per ounce for Dairy Queen blizzards, we can calculate the cost per ounce for each size option:
Small: 6 oz. for $2.49 ->
Cost per ounce = $2.49 / 6 oz. = $0.415/oz.
Large: 16 oz. for $4.98 ->
On simplifying the equation , we get
Cost per ounce = $4.98 / 16 oz. = $ 0.31125/oz.
Medium: 10 oz. for $3.49 ->
Cost per ounce = $3.49 / 10 oz. = $0.349/oz.
Super Size: 24 oz. for $7.69 ->
On simplifying the equation , we get
Cost per ounce = $7.69 / 24 oz. = $0.32042/oz.
Comparing the cost per ounce for each size option, we can see that the Small blizzard has the highest cost per ounce at $0.415/oz. The Large blizzard has the lowest cost per ounce at $ 0.31125/oz.
Hence , the Large blizzard gives you the best price per ounce among the options provided.
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Which sentence correctly uses an intensive pronoun? A.You will have to finish the assignment yourselves. B.You yourself probably did not realize you made a mistake.
C.I met my best friend myself at the arena to go skating. D.I told myself that everything would work out just fine.
Answers
Answer:
(A) You will have to finish the assignment yourselves.
Step-by-step explanation:
In B, C, and D, the "yourself" and "myself" words aren't adding any emphasis to the situation! But in sentence (A), the speaker is saying that, you will have to finish the assignment YOURSELF. No help from anyone else! (This implies that the task might be difficult, putting emphasis!)
some math on a test hcb kdhbfkvhsd
Answers
Answer:
i think c
Step-by-step explanation:
Answer:
Its either A or C, but I would go with C
Step-by-step explanation:
A telephone poll of an SRS of 1234 adults found that 62% are generally satisfied with their lives. The announced margin of error for the poll was 3%. Does the margin of error account for the fact that some adults do not have telephones
Answers
Answer:
No. The margin of error only includes sampling variability.
Step-by-step explanation:
The margin of error would be considered for the sampling error
In the case when some adults does not have telephones so it is called as error selection bias this is not a sampling error
The selection bias, unresponse bias and the response would be the examples of an error but it is not a sampling errors
So there is no margin of error as it only involved the variability in the sampling
help me I will give brainiest
Answers
Answer:
its many solutions
Step-by-step explanation:
∠aangle, a and \angle b∠bangle, b are complementary angles. \angle a∠aangle, a measures 22^\circ22 ∘ 22, degrees. What is the measure of \angle b∠bangle, b?
Answers
Answer:
68 degrees
Step-by-step explanation:
The sum of two complementary angles is 90 degrees
If <a and <b are complementary, then;
<a + <b = 90
Given
<a = 22 degrees
Required
<b
Substitute into the given expression;
22 + <b = 90
<b = 90-22
<b = 68 degrees
Hence the measure of <b is 68 degrees
Answer:
68Step-by-step explanation:
slope=-7 ;(4,-30)
what is the equation?
Answers
Answer:
y=-7x -2
Step-by-step explanation:
use formula to find the equation when you know slope and a point
it is: y-y1 = m(x-x1)
plug in values
y-(-30) = -7(x-4)
y+30 = -7x + 28
- 30 from both sides
y = -7x -2
PLEASE HELP ME you used 5 cups of flour to bake 80 cookies. How many cups do you need if you are planning to bake 144 cookies TYSM
Answers
Answer:
12.8 cups of flour will need to be used
Step-by-step explanation:
10 pointssssssssssss
Answers
Answer:
2x10^3 is the answer
Step-by-step explanation:
3x + y = 10
x = 2y + 1
simplifying
Answers
Answer:
y = 1 , x = 3
Step-by-step explanation:
3x + y = 10
x = 2y + 1
3(2y + 1) + y = 10
6y + 3 + y = 10
7y = 7
y = 1
x = 2(1) + 1
x = 3
If You Answer This Then You Truly Deserve Brainliest,Star Rating ANDDDD a Thanks!
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1. What is the volume of cylinder A?
2. What is the volume of cylinder B?
3. Which cylinder is bigger?
Remember that the volume of a cylinder formula is V = π * r * r * h, and radius is half of the diameter, and π is 3.14.
(Please answer all )
Answers
B = 678.58
Cylinder A is bigger than Cylinder B
The sales tax on clothing that cost $24 is $1.68. How much would sales tax be on clothing that cost $96?
Answers
Answer:
$6.72
Step-by-step explanation:
1.68 is 7% of 24, so there is a 7% tax.
96x.07= 6.72
Answer: The sales tax would be 6.72
Step-by-step explanation: 24 is 1/4 of 96 so that means that you have to multiply the sales tax number by 4 and 1.68 x 4 = 6.72
What so the mean median and range for 39,82,74,96,64,52,74
Answers
Median: 74
Range: 57
Help please please!!
Answers
jaylen made a scale model of the washington monument. the monument has an actual height of 555 feet jaylens model used a scale of 1 inch representing a 100 feet what is the height of jaylens model
Answers
Answer:
6.04 inches
Step-by-step explanation:
Given: The actual height of the monument = 604 feet
The scale used by Corbins is 1 inch = 100 feet
It implies in Corbins model 1 feet
Therefore, The height of the Corbins model in inches=
Hence, the height of the Corbins model in inches= 6.04 inches
Find the measure of UW
Answers
9X + 1 = 7X + 13
2X + 1 = 13
2X = 12
X = 6
Plug 6 into the original formula...
UW = 7(6) + 13
UW = 42 + 13
UW = 55
5(17+13) ÷(8-7)
Simply the expression
Answers
Do 5 x 17=85
Then 5 x 13= 65
As them
85+65=150
8-7=1
150/1=150
Answer-150
You are 18 miles away from home. You start biking home at a speed of 6 miles per hour. Write an equation in slope-intercept form that represents the distance away from home "y" after "x" hours. Y= How many hours will it take to get home? Hours
Answers
Answer:
y = 18 - 6x
Step-by-step explanation:
Given :
Speed or rate = 6mph
y = distance away from home
x = hours biked
Initial distance from home = 18 miles
General form of Slope - intercept form of an equation :
y = mx + c
Where ;
m = gradient or slope = rate of change
c = intercept or initial value or amount, always constant
x = independent variable
y = dependent variable
Hence,
For the question above :
Distance away from home, depends on the number of hours biked
y = 18 - 6x
Four students received the following grades on their math quizzes. Which student could use the mode to show that she is doing better than the other three students?
Ashlee:78,94,90,70,94
Belen:79,79,100,95,99
Molly:66,73,98,88,98
Sofia:88,94,96,99,80
Answers choices:
a.Ashlee
b.Molly
c.Belen
d.SofiaFour students
Answers
Answer:Molly
BC I DID THE MATH
Answer: molly bc i did the quiz
Step-by-step explanation:
HELP NOW PLS The ratio of pineapple juice to cranberry juice in a punch
recipe is 14:12. Which ratio is equivalent to 14:12?
Answers
Answer:
7:6
Step-by-step explanation:
I simplified 14:12
Step-by-step explanation:
Since 14 and 12 are both even numbers, they are a multiple of 2.
14 = 2 * 7
12 = 2 * 6
Therefore 14:12 = (2*7):(2*6) = 7:6.
The equivalent ratio is 7:6.
y = -5/3x + 3
y= 1/3x - 3
And graphing it
Answers
Answer:
Graph.
y=−1/3x+3
y
=
−
1
3
x
−
1
Step-by-step explanation:
If elephant grass grows 3 3/5 inches a day, how many inches will grow in 8 days
Answers
Answer:
28.8 inches
Step-by-step explanation:
3 3/5= 18/5
18/5 *8=144/5=28.8
Help on this question please!
Answers
Answer:
the first one
Step-by-step explanation:
What is 45% of 180??
Answers
Explaination: 45% × 180 =
(45 ÷ 100) × 180 =
(45 × 180) ÷ 100 =
8,100 ÷ 100 =
81
A bird starts at 20m and changes to 16m? The bird's final elevation is
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
The initial elevation is 20m
According to the question :
If it changes to 16m, then the final elevation of the bird is 16 m.
However, in some texts, the question goes thus;
A bird starts at 20m and changes 16m? The bird's final elevation is?
In this case, the initial height = 20m
Change in height = 16 m (positive means ascension)
Hence,
initial height + change in height
20 m + 16 m
= 36m
This graph shows a proportional relationship.
What is the constant of proportionality?
Enter your answer as a ratio in simplified form by filling in the boxes.
2/3, 3/4
Answers
5/4 would be your answer.
Find the slope of the line passing through the point (-6,7) and (-6,-8).
Answers
Answer:
infinity
Step-by-step explanation:
it's a straight line, because there is no run, only rise as the x did not change
For the scientific notation, write the standard form: 8.02 x 10-2
Answers
9514 1404 393
Answer:
0.0802
Step-by-step explanation:
8.02 × 10^-2
= 8.02 × 0.01
= 0.0802
_____
Your scientific or graphing calculator, or any spreadsheet, can convert number formats for you.
20% of x is equal to 45. Find the value of x.
Answers
Answer:
I got 9
Step-by-step explanation: