The set builder notation of the inequality - 3(7n + 3) < 6n is,
{n : n ∈ R, n > - 3 }.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
Given, An inequality - 3(7n + 3) < 6n.
Now, distributing the terms we get,
- 21n - 9 < 6n.
- 21n - 6n < 9.
- 27n < 9.
27n > - 9. (Think of moving the variable to the other side to make it
positive).
n > - 27/9.
n > - 3.
learn more about inequalities here :
https://brainly.com/question/28823603
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The sum of two numbers is 38. The larger number is 8 more than the smaller number, What are the numbers?
Larger number:
Smaller number.
Answer:
Larger number: 23
Smaller number. 15
Step-by-step explanation:
y = x - 8
x + y = 38
substitute for y:
x + x - 8 = 38
2x = 46
x = 23
y = 15
Answer: Larger number: 23
Smaller number: 15
Step-by-step explanation:
let x be the smaller number, then the larger number would be x+8
x + (x + 8) = 38
2x + 8 = 38
2x = 30
x = 15
larger number = x + 8 = 15 + 8 = 23
Anakka is admiring a statue in Dover Park from 16 meters away. If the distance between the top of the statue to Anakka's head is 20 meters, then the statue is ___ meters taller than Anakka.
please help ASAP
Answer:
12 meters taller
Step-by-step explanation:
16 meters away, and the hypotenuse is 20 meters so
20^2=16^2-x^2
Find the distance between the points (-3,-4) and (2,8) on the
coordinate plane.
pls hurry it’s for a quiz
Answer:
13 units
Step-by-step explanation:
A car that traveled 50 miles in 2 hours had the same average speed as a
car that traveled 200 miles in 8 hours. Is this true or false?
Answer:
True
Step-by-step explanation:
[tex]\frac{200 miles}{8 hours} = \frac{100miles}{4hours} = \frac{50miles}{2hours}[/tex]
what is the discount price for 52% of 210?
10,920
1,092
158
109.20
Answer:
the answer is 109.20
The cost of 8 kg of butter is $ 904. what will be the cost of 14 kg of butter
Answer:
$1582
Step-by-step explanation:
cost of each kg 904/8=113
cost of 14 kg 113x14=1582
the cost of 14 kg of butter is $1582
3. To make green paint, mix 3 parts of blue to 4 parts of yellow. Does the table below show the same ratio
of yellow and blue to make green paint? Explain your thinking using words or numbers.
Blue
3
4.
5
6
Yellow
4
5
6
7
I
how many 0 are in 123456789123456789000012010100101010101010101010010
Answer:
19
Step-by-step explanation:
:)
Look at the picture........... need it done ASAP
Answer:
(-8,5)
Step-by-step explanation:
The answer explained step by step on the picture.
A fan has five equally spaced blades. Suppose you line up two fans directly on top of each other. What is the least number of degrees that you can rotate the top fan so that the two fans are perfectly aligned again?
A fan has 5 equally spaced blades.
A. 120°
B. 60°
C. 90°
D. 72°
Please help me winner gets 20 points
Evaluate the expression
Answer:
2^7Multiply
2^3 by 2^4 by adding the exponents.
Use the power rule
a^m a^n=a^m+n
to combine exponents.
2^3+4
Add 3 and 4.
2^7
Raise 2 to the power of 7.
128
Step-by-step explanation:
Hope it is helpful....
A cell phone company dropped the
prices on their phones by 10%. Which
expression shows the new price of the
phones(p)?
Describe the translations of the function f(x) = - ½ (x – 3)2 + 4.
a. reflection, stretch, right 3 and up 4
b. reflection, shrink, right 3 and up 4
c. reflection, shrink, right 3 and down 4
d. shrink, right 4 and down 3
Answer:
b. reflection, shrink, right 3 and up 4
Step-by-step explanation:
- : reflection across x axis
1/2 : compression vertically by a factor of 1/2
x - 3: shift right 3 units
+ 4: up 4 units
2.5x + 100= 600 solve for x
ANSWER:
2.5x + 100=600
x=200
step by step explanation:
Please help I’ll give brainliest if correct
Answer:
(-1, -13) is the correct answer
To prepare for virtual learning the school is purchasing extra keyboards, mice, and PC cameras. They have a budget of $1500 to spend on $30 keyboards, $20 mice, and $50 cameras. Additionally, the number of mice should be equal to that of keyboards and twice the number of cameras. How many of each item should he buy?
explain please
Answer:
20 keyboards and mice, 10 cameras.
Step-by-step explanation: They need the same number of keyboard and mice, and they want to get half the amount of cameras they do keyboard and mice. They have a budget of $1500 so 20 keyboards and mice as well as 10 cameras is the most optimal purchase.
30*20=600
20*20=400
50*10=500
600+400+500=1500
Can i get help please with this math question
Answer:
B
Step-by-step explanation:
1.25 is incorrect becuase 25% is .25 not 1.25
sarah needed 1 by 3 cup of flour to make 1 apple pie. I if she made 9 apple pies, how many cups of flour sarah need?
Answer:
1/3 times 9 so just do that math and there's your answer ;)
Answer: do the math kid 1/3 times 9 theres your answer
Step-by-step explanation:
Giving brainliest if answered correctly!
At Bakersfield High School, each senior class purchases a monument in the shape of a triangular prism to display the names of the entire senior class. The dimensions of the monument are shown below.
What is the total surface area of the monument?
660 square inches
630 square inches
690 square inches
600 square inches
Answer:
hello! you didnt put the dimensions. i would love to help but i dont have the info. you can comment the infor below!
Factor the trigonometric expression
please include the steps thank you !!
will give branliest
what is the solution of the system of equations 2x-3y=-9 -x+3y=6
Answer:
the answer to the question is (6,10)
Step-by-step explanation:
I can’t tell if this is good or bad ;-; I did just skip some of the questions tho ngl...
Answer:
OoP
Step-by-step explanation:
HELP ASAP 61/35 as a mixed number
Answer:
1 26/35
Step-by-step explanation:
61/35 =
1 26/35
Hope that helps!
Answer:
1 26/35
Step-by-step explanation:
So there is 1 whole number and 26/ 35
i don't know if that helps but thats helps but that's the answer
Is 10/6 and 50/30 proportional or not proportional
Answer:
proportional
Step-by-step explanation:
50/5=10
30/5=6
10/6
When you multiply a mixed number by___________ the product is equal to the mixed number fill in the blank
Answer:
A whole number
Step-by-step explanation:
Answer: 1
Step-by-step explanation: If it was anything more than 1 it would not equal the same number.
Btw I didn't understand well if you have more questions put it into the comments. I hope I helped :)
Determine the number of liters of a 30% saline solution and the number of liters of a 60% saline solution that are required to make 10 liters of a 50% saline solution.
Answer:
Number of liters of 30% solution = x = 3.3 liters
Number of liters of 60% solution = y
= 6.67 liters
Step-by-step explanation:
Let us represent:
Number of liters of 30% solution = x
Number of liters of 60% solution = y
Determine the number of liters of a 30% saline solution and the number of liters of a 60% saline solution that are required to make 10 liters of a 50% saline solution.
30% × x + 60% × y = 10 × 50%
0.3x + 0.6y = 5...... Equation 1
x + y = 10...... Equation 2
x = 10 - y
We substitute 10 - y for x in Equation 1
Hence
0.3(10 - y) + 0.6y = 5
3 - 0.3y + 0.6y = 5
- 0.3y + 0.6y = 5 - 3
0.3y = 2
y = 2/0.3
y = 6.67 liters
Solving for x
x = 10 - y
x = 10 - 6.67
x = 3.33 liters
Hence:
Number of liters of 30% solution = x = 3.3 liters
Number of liters of 60% solution = y
= 6.67 liters
The diameter of a bicycle tire is 2 feet. If the wheel revolves 8,500 times, how far will Syed travel on the bicycle?
She would travel 17,000
Step-by-step explanation:
Statistics help please!!!
I have no idea what to do!
Zoom in to see clearer!
Please don't answer just for points if you don't know it I really need help
Answer:
see i have posted my pic
Step-by-step explanation:
please mark me as brainliest
Will mark brainlest.