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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If the area of a square is 25 m2, its perimeter must be
Answer:
20m
Step-by-step explanation:
A=s^2
root 25=s
s=5m
so to find perimeter we will use the formula 4s
P=4×5
P=20m
please mark as brainliest
Answer:
The perimeter of the square must be 20m
Step-by-step explanation:
•Area of a square = side²
25m² = side²
5 m = side (square root)
•Perimeter of a square = 4 x side
4 x 5m
20m
Posting this here because why not, it's not like anybody will do it.
Answer:
1. 264
2. degree: 6, term: 3xy^5
3. -60x^3-2x^2+9x
4. 6mn^3-4m
5. 8x^3-4x+2
6. -x^2-6x-13
Step-by-step explanation:
Find the volume and explain your answer round to the nearest tenth!!
hello help please i’ll mark brainliest!!!
Answer: The answer is the milky way galaxy.
Step-by-step explanation: It is that answer because nothing is brighter than it.
Answer:
The Milky Way galaxy
Step-by-step explanation:
What is the center of dilation?
Answer:
Original coordinates of F is (2,1)
Step-by-step explanation:
when DEFG is dilated by a scale factor of 1/2 with a dilation center of (0, 0), coordinates of point F' will be ( 1, 1/2)
9. Find the value of x.
(look at the picture)
Answer:
use the fact that triangles only have room for 180 degrees inside, so all the angles must add up to 180, no more, no less. You can also jsut insert the options for x values until you find the right one(shouldnt take too long).
Step-by-step explanation:
Sales tax in Rally County is 8%. What would the amount of tax be on a $50 restaurant bill? Express your answer in the form of a decimal
8. Find X
help i need this today
PLEASE HELP SHOW YOUR WORK. HURRY I WILL MARK YOU BRIANLIEST.
Answer:
6.86
Step-by-step explanation:
First, divide 4.90 by 5 then multiply 0.98 by 7.
Mr. Romero buys 3 chairs at a cost of $27.90 for each chait. Estimate the
least number of $20 bills he needs to buy the chairs.
Answer: 5
Step-by-step explanation:
Answer:
5, $ 20 bills
Step-by-step explanation:
27.90× 3 = around 85
$85÷ $20=4.25
So 5, 20 dollar bills because it is more that 4
320 is what percent of 138?
Answer:
43.13
Step-by-step explanation:
What is 238394 divided by 624
Answer:
382.041666667
Step-by-step explanation:
Answer:
382.0416
Step-by-step explanation:
A repairman leans the top of an 26 foot ladder against the
top of a stone wall. The base of the ladder is 4.7 feet from
the wall. How tall is the wall? (Use Pythagorean Theorem:
a² + b2= c2)
Answer:
653.91 squared or 326.955 not squared
Step-by-step explanation:
We have a hyponuse of 26 and one leg of 4.7 and we are trying to figure out the missing leg!
The first step is
A^2 + B^2 = C^2
2 step
4.7^2 + B^2 = 26^2
3 step
4.7 x 4.7 = 22.09 and 26 x 26 = 676
4 step
22.09 + B^2 = 676
5 step
676 - 22.09 = 653.91
6 step
Answer
653.91 squared or 326.955 not squared!
hope this helps
Annie has two equal-sized pies. She served 5/8
of the first one and 1.3 of the second one. What fraction shows the total amount of pie left?
9514 1404 393
Answer:
25/24
Step-by-step explanation:
Annie has 1 - 5/8 = 3/8 of the first pie left.
Annie has 1 - 1/3 = 2/3 of the second pie left.
The total fraction of pie left is ...
3/8 + 2/3 = (3·3 +8·2)/(8·3) = 25/24 . . . of a pie left
Answer:
25/4
Step-by-step explanation:
........................
i just need the answer lol
Answer:
C and D
Step-by-step explanation:
They are both roots of the equation.
Tehara has read 115 pages of a 305-page book. She reads 10 pages each day. How many days will it take to finish?
10
+
115
p
=
305
10 + 115 p = 305
10
p
+
305
=
115
10 p + 305 = 115
115
+
10
p
=
305
115 + 10 p = 305
115
⋅
10
p
=
305
115 · 10 p = 305
Tehara has read 115 pages of a 305-page book. She reads 10 pages each day. How many days will it take to finish?
10
+
115
p
=
305
10 + 115 p = 305
10
p
+
305
=
115
10 p + 305 = 115
115
+
10
p
=
305
115 + 10 p = 305
115
⋅
10
p
=
305
115 · 10 p = 305
Tehara has read 115 pages of a 305-page book. She reads 10 pages each day. How many days will it take to finish?
Answer: 19 days
Step-by-step explanation:
Answer:
115 + 10x = 305
x = 19
It will take her 19 days to finish.
Plz help due tomorrow
Answer:
-16
Step-by-step explanation:
you need to distribute the 2 to the (-8) :D
Answer:
-8x + (-16) = 24
Step-by-step explanation:
-8(x + 2) = 24
-8*x and -8*2
-8x + (-16) = 24
Just in case you need to solve:
-8x = 40
x = -5
please help!! I suck at this :(
Answer:
41/50
Step-by-step explanation:
82% = 0.82 = 82/100
82/100 reduced is 41/50
Much saved $6 on a $40 pair of pants
Answer:
SHEEESH? MIND IF U SHARE?
Step-by-step explanation:
5a+2b=14 6a+2b=16
Solve in stimultaneous
Answer:
A=2 b=2
Step-by-step explanation:
5a+2b=14
6a+2b=16
6a+2b-(5a+2b)=16-14
6a+2b-5a-2b=2
a=2
b=2
line a passes through the points (3,4) and (-1,2). line b passes through the points (-12,0) and (-6,-4). at what point do the lines intersect
Answer:
The point of intersection of the two lines is;
(-9,-2)
Step-by-step explanation:
What we have to here is to get the equation of both lines, solve simultaneously and get the intersection points
For the first line;
The general form is
y = mx + b
formula for the slope is;
m = (y2-y1)/(x2-x1)
The points (3,4) and (-1,2)
m = (2-4)/(-1-3) = -2/-4 = 1/2
So the equation is;
y = 1/2x + b
To get b, let us substitute coordinates of the first point;
4 = 1/2 * 3 + b
4 = 3/2 + b
b = 4 - 3/2
b = (8-3)/2 = 5/2
So the equation is;
y = 1/2x + 5/2
For the second line;
Slope;
m = (-4-0)/(-6+12) = -4/6 = -2/3
The equation is;
y = -2x/3 + b
Let us substitute the first
0 = -2/3(-12) + b
0 = 8 + b
b = -8
The equation is;
y = -2x/3 - 8
Now , we want to get the intersection point
To do this, we have to solve both equations simultaneously;
Since we have an expression for y in both cases, let us equate both y
-2x/3-8 = 1/2x + 5/2
Multiply through by 6
-4x - 48 = 3x + 15
-4x-3x = 15 + 48
-7x = 63
x = 63/-7
x = -9
To get x;
Recall;
y = -2x/3 - 8
y = -2/3(-9) - 8
y = 6 - 8
y = -2
what is the exact value of X
Answer:
x=2
Step-by-step explanation:
hi so im gonna be honest im too lazy to write down how i found the answer but it should be x=2. hope it helps!
ps pls tell me if it was correct :)
Which terms of the polynomial are affected by the coefficient “5” in the product of (5X + Y)(X + Y)?
Answer:
X and XY
Step-by-step explanation:
When you expand and compare the result to (X+Y)^2, you will see that the only terms different are those with the variable X. This means that the only terms affected are X and XY.
PLEASE HELP!!!
Find the areas of the trapezoids.
Answer:
1) A = 48 sq units 2) 42 sq units
Step-by-step explanation:
The formula to find the area of a trapezoid of a trapezoid is A = 1/2(b1+b2)h.
So for number 1, it is stated that the height of each unit is 2. Now let's substitute the variables in the formula with the actual bases and heights. I got A = 1/2(8+4)8, A=6*8, A=48 sq units.
For number 2, each unit also has a height of 2. Let's substitute the variables in the formula again. And we get A = 1/2(10+4)6, A = 7*6, A = 42 sq units.
This is how you find the areas of the trapezoids!
f(n)=45⋅(4/5)^n−1
complete the recursive formula of f(n)
F(1) = 45
f(n) = f(n-1) * 4/5
Step-by-step explanation:
f(n) = 45 x (4/5)ⁿ⁻¹
f(1) = 45 x (4/5)¹⁻¹ = 45 x (4/5)⁰ = 45 x 1 = 45
f (n-1) = 45 x (4/5)ⁿ⁻¹⁻¹ = 45 x (4/5)ⁿ⁻²
f(n) = f(n-1) * (4/5)¹ = 45 x (4/5) ⁿ⁻²⁺¹ = 45 x (4/5)ⁿ⁻¹
Answer:
45
4/5
Step-by-step explanation:
khan academy
Can someone help? I'll give brainliest if the answer is correct and and if an explanation of how to do this is provided.
Answer:
[tex] m\angle E[/tex] = 77°
Step-by-step explanation:
I triangle ACE, BD || AC.... (given)
[tex] m\angle B =m\angle A[/tex]
(corresponding angles)
9x - 5 = 8x + 4
9x - 8x = 5 + 4
x = 9
3x° = 9*3° = 27°
(9x - 5)° = (9*9 - 5)° = (81 - 5)° = 76°
[tex] m\angle E[/tex] = 180° - (27° + 76°)
(By interior angle sum theorem of a triangle)
[tex] m\angle E[/tex] = 180° - 103°
[tex] m\angle E[/tex] = 77°
Help me solve this problem please
Answer:
[tex]\sqrt{29}[/tex]
Step-by-step explanation:
Okay assuming one block=1 then we can draw a triangle and use the pythagorean theorem
5^2+2^2=c^2
Like in the picture
Who want to help me out
Answer:
A, B, and C
Step-by-step explanation:
Since there are no right angles, 89 is too close to 90 which is a right angles (which there are no angles even close to 90) and 94 would be too large since all angles are less than 90 degrees.
4.) Solve the proportion.
2
9
II
3 k + 1
Answer:
b
Step-by-step explanation:
Sorry if its wrong I hope I helped!!!!
PLSS HELP ME ASAP!!! I WILL GIVE YOU BRAINLYEST!!! PLSS JUST HELP ME :(
The pyramid below has a rectangular base with an area of 150 square feet. The height of the
Pyramid is 30 feet.
30 ft.
What is the volume of this pyramid in cubic feet?
A. 180
B. 1500
C. 4500
D. 45,000
Answer:
4500
Step-by-step explanation:
150*30=4500