Solve the following inequality in two ways and make a claim as to which
method is more efficient.
1/4 (8n - 12) < n + 2

Answers

Answer 1

Answer:

The solution of the given inequality  n < 5

Step-by-step explanation:

Explanation:-

Given inequality

                     [tex]\frac{1}{4} (8 n -12 ) < n +2[/tex]

Step(i):-

 Cross multiplication '4' we get

                    8 n - 12 < 4 ( n +2)

                    8 n - 12 < 4 n + 4×2

                    8 n - 12 < 4 n +8

      Subtracting  '4 n ' on both sides, we get

                 8 n - 4 n - 12 < 4 n - 4 n +8

                 4 n - 12  <  8

Step(ii):-

Adding ' 12 ' on both sides , we get

                4 n -12 + 12 < 8 + 12

                               4 n < 20

Dividing "4' on both sides , we get

                                 n < 5

The solution is n < 5

Conclusion:-

The solution of the given inequality  n < 5


Related Questions


What is the measure of theta in radians?
Enter an exact expression.


Answers

Answer: pi/3 radians

Step-by-step explanation:

0= arc length/radius

0= pi/3 radians

a baseball game has a total of 9 inning. in each inning there are 2 teams that each have to make 3 outs in order for the inning to be complete​

Answers

What is the question?

How to solve for x 2x + 3x -5 =20

Answers

Answer: x=5

Step-by-step explanation:

Simplify to 2x+ 3x -5 to 5x-5

5x- 5 = 20

Add 5 to both sides.

5x= 20+5

Simplify 20+5 to 25.

5x= 25

Divide both sides by 5.

x= 25/5

Simplify 25/5 to 5.

x=5

After analyzing this number line, which set of numbers would all round to 0 when rounding to the nearest hundred? A) 15, 35, 44 B) 35, 44, 50 C) 44, 50, 55 D) 55, 63, 69

Answers

Answer:

all the numbers in set a would all round to 0

A class goes to a science museum. There is an exhibit which has a giant sphere that shows different weather patterns. The surface area of the sphere is 24,316.16 ft. What is the radius of the sphere? Use 3.14 for pi.

Answers

Answer: sjsjsjdjffj

Step-by-step explanation:


Write an equation in slope-intercept form for the line that passes through (−5,−2) and is perpendicular to the line described by y=5/3x+2.

Answers

Answer:

Step-by-step explanation:

y + 2  = (-3/5)(x + 5)

y + 2 = (-3/5)x - 3

y = (-3/5)x - 5


The circle above has a radius of 12 cm. What is the area of the circle? Use = 3.14

Answers

Answer:

452.39

Step-by-step explanation:

C=[tex]\pi[/tex]r 2

C= 3.14 times 12(2)

Look at the attached picture

Hope it will be helpful to you...

Find the value of x

Answers

B it’s equivalent 46
(4x-101) and (2x+3) are vertical angels so they equal each other

1) plug them into an equation -> 4x-101=2x+3
2) move - 101 to the right side which makes +101 (positive) to cancel each other out so giving us 104
3) move 2x to the left like what we did with -101 instead it’ll be -2x
4) make the new equation we created ->
2x= 104
5) divide 2 to each side to get 2x into just x and divide 2 to 104
6) The answer should be x=52

What is the volume of the cone below?

Answers

Where’s the Picture of the cone

Plz help ASAP!! A surgical technique is performed on eight patients. You are told that there is an 80% chance of success. Find the probability that the surgery is successful for fewer than two patients. Please show your work. Hint: the answer is 0.000084.

Answers

Answer:

This is a fairly simple binomial distribution. We know it's binomial, because we're looking for a "fixed" number of patients, not the "first" like a geometric.

You can use your calculator:

binomcdf(n,p,Kr)

n=population, p=probability, Kr=number you're looking for

binomcdf(8,.8,1)

We have to do 1, not 2, because it says fewer than 2, which means 1.

                         = 8.448 x 10⁻⁵ = .00008448, which is approximately the answer given!

I'll mark you the brainlest if you answer this correctly​

Answers

Answer:

A=14

Use formula A^2+B^2=C^2

Answer:

∠ A ≈ 24°

Step-by-step explanation:

Using the sine ratio in the right triangle

sin A = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{MR}{AR}[/tex] = [tex]\frac{6}{15}[/tex] , thus

A = [tex]sin^{-1}[/tex] ([tex]\frac{6}{15}[/tex] ) ≈ 24° ( to the nearest degree )

Factor the expression below.
x2 - 6x + 9
A.
(x + 3)(x + 3)
B.
3(x2 - 2x + 3)
OC. (x-3)(x-3)
OD.
(x - 3)(x + 3)
HELP

Answers

Answer:  (x-3)(x-3)

This is a perfect square trinomial in the form a^2 - 2ab + b^2 = (a-b)^2. In this case, a = x and b = -3.

Another way you can look at it is to ask yourself "what two numbers multiply to 9 (last term) and add to -6 (middle coefficient)?". Those two numbers are -3 and -3

-3 plus -3 = -6

-3 times -3 = 9

So this is why x^2-6x+9 = (x-3)(x-3)

We can expand (x-3)(x-3) back out to get x^2-6x+9 again using the FOIL rule, distributive property, or the box method.

Answer:

C. (x-3)(x-3)

Step-by-step explanation:

x² - 6x + 9 = 0

x² - 3x - 3x + 9 = 0

x(x - 3) - 3(x - 3) = 0

(x - 3) (x - 3) = 0

The area of a square is 102 square units. What is an
estimated value for the length of a side of the square?
between 10 and 11
between 11 and 12
between 12 and 13
between 13 and 14

Answers

Answer:

Between 10 and 11.

Step-by-step explanation:

To begin, we can look at the problem as such. If we take the first answer choice, we can find the squares of both numbers giving us: (Remember that the area of a square is A=L²)

10²= 100

11²= 121

Since the given area is in between these two numbers, this means that the side length must be between 10 and 11.

Between 10 and 11 because 10x10 would be 100 so the accurate number would be 10.1 which is in between 10 and 11

Find the first five multiples of the number 5.
A. 10, 15, 20, 25, 30
B. 5, 10, 15, 20, 25
c. 1, 5, 10, 15, 20
D. 5, 15, 25, 35, 45

Answers

Answer:

B. 5,10,15,20,25

Step-by-step explanation:

The first 5 multiples of a number are that number multiplied by 1-5 so

5(1),5(2),5(3),5(4),5(5) so

5,10,15,20,25 so

B. 5,10,15,20,25

Answer:

5,10,15,20,25

Step-by-step explanation:

How do u not know this ur in middle school  

At the amusement park each students is given $16 dollars for food. This covers the cost of 2 meals plus $4 for snacks. how much money does the school expect each student to spend per meal. Which equation can be used to represent this situation? plz help now if u can

Answers

It will take 4$ for a meal because 16/2meals is 8 - 4 dollars for snack is 4

Answer:

16 = 2x + 4

Step-by-step explanation:

The total amount of money they are given is $16. That is split up into 2 equal groups with 4 left over. So you'd have to subtract 4 from both sides. Then divide both sides by 2. This will give you the answer to how much money they expect the students to spend on food.


A cube has a volume of 0.216 ft?. What is the length of each side of the cube?

Answers

Answer:

the answer is 0.054

The circumference of the inner circle is 22 ft. The distance between the inner circle and the outer circle is 4 ft. By how many feet is the circumference of outer circle greater than the circumference of the inner​ circle? Use 22/7 for pi.
(Two circles have the same center. One circle lies inside of the other. The distance between the two circles is labeled 4 feet.
4 ft)
The circumference of outer circle is about
____ ft greater than the circumference of the inner circle.
​(Round to the nearest tenth as​ needed.)
HOW MANY FEET GREATER IS THE CIRCUMFERENCE OF THE OUTER CIRCLE THAN IT IS OF THE THE INNER CIRCLE *ROUND TO THE NEAREST TENTH*
answer fast please!

Answers

Answer:

25.1

Step-by-step explanation:

1. Find the radius of the inner circle

(the formula for the circumference of a circle is [tex]C=2\pi r[/tex])

To find the radius of the inner circle, you would plug in the given information so that your equation looks like this:

[tex]22=2(\frac{22}{7} )r[/tex]

then solve for [tex]r[/tex]

[tex]r=3.5[/tex]

2. add [tex]4[/tex] to the radius of the inner circle

[tex]3.5+4=7.5[/tex]

3. find the circumference of the outer circle using [tex]7.5[/tex] as the radius

[tex]C=2(\frac{22}{7})7.5[/tex]

[tex]C=47.1[/tex]

4. Subtract the circumference of the inner circle from the circumference of the outer circle

[tex]47.1-22=25.1[/tex]

     

Select the correct answer from each drop-down menu.
sin75° +sin15°=
sin75°-3in15º =

Answers

Answer:

Step-by-step explanation:

Answer:

Behold! The web haseth calculators. They work well.

#PlatoAccuracyMatters

Step-by-step explanation:

Which ratio is equivalent to the scale kom?
1:50
1:51
50:1
49:50

Answers

Answer:

50;1

Step-by-step explanation:

cause

1:51 because of the ratios

Bob carved this solid out of wood find the volume of the solid

Answers

Answer:

640

Step-by-step explanation:

Evaluate.
Remember Order of Operations!
PEMDAS)
100 = 5 x
(4 + 2)

Answers

ANSWER: 100=5*6

                   100=30

HOPE IT HELPS!

Answer:

x = 3 1/3

Step-by-step explanation:

Let's go over the order of operations.

P: Parentheses

E: Exponents

M/D: Multiplication/division (in order of appearance)

A/S: Addition/Subtraction (in order of appearance)

100 = 5*(4 + 2)

Since there are values in parentheses, solve those first: 100 .= 5x(6).

Next, multiply 5x by 6. 100 = 30x.

Finally, divide each side by 30 to find the value of x. 3 1/3 = x

Therefore, the value of x is 3 1/3.

(Note: this is assuming the term "x" is a variable, and not the multiplication sign, *.)

Please help giving brainlest out oh and 20 points

Answers

question number one is 15 ft

question number two is 7 MI

tbh i forgot how to do the 3rd one

Answer:

question number one is 15 ft

question number two is 7 MI

tbh i forgot how to do the 3rd one

Step-by-step explanation:

-1 (dont mind the circles on graph)

Answers

Answer:

-1 is the circle at in between -2 and 0

Step-by-step explanation:

bruh

Which figures can be circumscribed by a circle? Select all that apply.

Answers

Answer:

Using the properties of inscribed quadrilateral (the sum of two opposite angles is 180 deg), we have

Option A, B, C are all correct (those figures can be circumscribed by a circle).

Hope this helps!

:)

Mia has $9000 in a savings account. The interest
rate is 9%, compounded annually. Which
equation can be used to represent the
situation?

Answers

Answer:

Y=9000(1.09)^X

Step-by-step explanation:

A telescope costs $98. It is on sale for 35% off. What is the cost of the telescope after the discount?

Answers

Answer:

To solve this equation first we need to find out how much is 35% of $98.

The percentage of a number is found by multiplying the percentage by the number:

35% x $98 = $34.3

So the 35% off the telescope equals a discount of $34.30.

Now let’s find the price after the discount.

We need to subtract the discount price from the original price:

$98 - $34.30 = $63.70

So we know that the price of the telescope after the discount is $63.70

plzzz mark me brainliest if this helped :)

I need 3 more brainliests to become an expert

Which math sentence can be used to determine if this triangle is a right triangle?
Side 12
Side 15
Side 18
12+ 15 = 18
122+ 152 = 182
12+18 = 15
122+ 182 – 152

Answers

Answer:

12^2 + 15^2 = 18^2

Step-by-step explanation:

If we have 3 sides of a triangle we can use the Pythagorean theorem to determine if the triangle is a right triangle

a^2 + b^2 = c^2

12^2 + 15^2 = 18^2

If this is true, then the triangle is a right triangle

Answer:

Step-by-step explanation:

i think it is b

Question 25

.........................................................

Answers

Answer:

its c

Step-by-step explanation:

Are there more 3-digit numbers that can be divided by at least one of the numbers 4, 7, or 9, or 3-digit numbers that cannot be divided by either one of them? I need ASAP! HELP! please provide an explanation.

Answers

Answer:

Yes there are more 3-digit numbers that can be divided or not divided by 4, 7, or 9

Step-by-step explanation:

Any real number can be divided by those numbers but you may get decimals as well.

There are less 3-digit real numbers that can be divided by at least one of the numbers 4, 7, or 9. Therefore, it's false.

How to compute the number?

It should be noted that for a number to be divisible by 9 and 7, it has to be divisible by 63. Therefore, we have all the three digit multiple of 63.

In this case, there are less 3-digit real numbers that can be divided by at least one of the numbers 4, 7, or 9.

Learn more about real number on:

https://brainly.com/question/155227

#SPJ2

Point P is located at (-5,-1) and point Q is located at (-1,-7).find the slope of line segment PQ.

Answers

Point A (x1,y2) = (-1, -7)

Point B (x2,y2) = (-5, -1)

Objective :

Find the slope of a line that passes through points A and B.

Formula :

Slope

[tex] m= \frac{y2-y1}{x2-x1} [/tex]

Solution:

Slope (m) = [tex] \frac{-1-(-7)}{5-(-1)} [/tex]

=6 - 4

m = -1.5

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