factorize : 8a³-b³
Step-by-step explanation:
8a^3 - b^3
= (2a)^3 - b^3
= (2a -b) (4a^2 + 2ab + b^2)
An expression is defined as a set of numbers, variables, and mathematical operations. The given expression 8a³-b³ can be rewritten in factor form as (2a-b)(4a²+2ab+b²).
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given expression can be rewritten as,
8a³ - b³
= (2a)³ - b³
It is known that x³-y³ can also be written as (x-y)(x²+xy+y²). Therefore, the above expression can be written as,
= (2a)³ - b³
= (2a - b)[(2a)² + (2a × b) + b²]
= (2a - b)(4a² + 2ab + b²)
Hence, the given expression 8a³-b³ can be rewritten in factor form as (2a-b)(4a²+2ab+b²).
Learn more about Expression here:
https://brainly.com/question/13947055
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The Cubs have won
7 out of their last 11
games. What's the
ratio of games lost to
games played?
First you need to figure out the games the Cubs lost. 11-7=4, so they lost 4 games.
Now you must plug in the ratio of games lost to games played. You know they lost 4 games and played 11, so the ratio would be 4:11.
I hope you find this helpful :)
A coin was tossed 60 times and the coin landed on Heads 35 times. What proportion of the time did the coin land on Heads?
Type your numeric answer and submit
Answer: Hence, the proportion of head lands obtained from the total number of tosses is 0.583
Step-by-step explanation:
Given the following :
Total number of coin tosses = 60
Total number of times coin landed on head = 35
Proportion of head landings obtained :
Total number of head landings obtained / total number of coin tosses
Proportion of head landing obtained :
= 35 / 60 = 7 / 12 = 0.5833
Marsha bought a pencil for $2.81 and a drink for $3.67. She paid with a $20 bill. How much change should Marsha have received?
Answer:13.52
Step-by-step explanation:2,81+3.67=20-6.48=13.52
......................................................
Answer:
x = 6
Step-by-step explanation:
Area of rectangle = length * width
= 10 * (x +2)
= 10*x + 10*2
= 10x + 20 square units
Area of triangle = [tex]\frac{1}{2}*bh[/tex]
[tex]=\frac{1}{2}*2*(x + 4)\\\\\\=1 * (x +4)\\\\\\[/tex]
= (x + 4) square units
Area of rectangle = 8* area of triangle
10x + 20 = 8 *( x+ 4)
10x + 20 = 8x + 32
Subtract 20 form both sides.
10x = 8x + 32 - 20
10x = 8x + 12
Subtract 8x form both sides
10x - 8x = 12
2x = 12
Divide both sides by 2
2x/2 = 12/2
x = 6
PLSS HELPPP 20 POINTS
Which of the following is the best way of selecting a random sample from students at King
Middle School?
a) Use the student directory, toss a number cube, start from that name, and select every tenth person.
b) Select every student from one grade.
c) Use the student directory, pick one student's name by chance, and then pick another student's
name.
d) Pick every tenth person who arrives at school by bus.
Answer:
a
Step-by-step explanation:
just did it
Answer:the 2nd one is the answer it's easy I just did it :
Rafael wrote expressions equivalent to 8 using square roots and cube roots. All of the following could be one of Rafael’s expressions except:
Answer:
it's c
Step-by-step explanation:
Answer:
C.
[tex] \sqrt[3]{64} \times \sqrt[3]{8} [/tex]
Write the sentence as an equation 175 is equal to 182 multiplied by g
What is 16/6 as a decimal?
Is Nora or Sofia correct? Explain your reasoning.
Answer:
Nora is correct
Step-by-step explanation:
Sophia used an appropriate method for computing the value of the repeating decimal fraction ...
0.1212_12
Close examination of the given decimal fraction shows that it is non-repeating, so is an irrational number. It cannot be represented by the ratio of integers.
Nora is correct in saying Sophia made a mistake.
___
Sophia depended on 100x -x cancelling some part of the fraction, so the result was a finite decimal. For repeating 2-digit fractions, this works well:
[tex]x=0.12\overline{12}\\100x=12.12\overline{12}\\100x-x=12.12\overline{12}-0.12\overline{12}=12\\x=12/99[/tex]
However, the decimal does not repeat, so this does not work:
100x = 12.1121112
100x -x = 12.1121112 -0.121121112 = 11.99099009900099... non-repeating
That is, the decimal part is not cancelled by Sophia's work, as we said above.
2(4x - 3) 2-3(3x) + 5x
Answer:
12x-12
Step-by-step explanation:
I believe this is the correct answer, but correct me if I'm wrong.
HELP!
Write an equation to represent: The cost of buying lemonade stand supplies is $0.50 per cup, $5 for ingredients, with a total cost of $30.
Answer:
$0.50x+5=30
Step-by-step explanation:
maf
A total of 587 tickets were sold for the school play. They were either adult tickets or student tickets. There were 63 fewer student tickets sold than adult tickets. How many adult tickets were sold?
Answer:
'325 adult tickets' is the ACTUAL answer
Step-by-step explanation:
I am editing this because I made a mistake beforehand
Let's say that x=adult tickets. If we subtract 63 tickets from adult tickets you get the number of children's tickets, so that means x+(x-63)=587. Or,
2x-63=587
Add 63 to both sides to get 2x=650. Divide it all by 2, and you get 325 adult tickets
10. Four employees are paid a monthly salary as follows: Wilma. $1.820: Mavis,
$1,615; Martha, $1.977: Tom. $1.560. Whöt average salary per month are these
employees paid?
Answer: Average salary per month=$1,743
(NB--- I am thinking you meant $1,977, $1,560, $1,820 instead of $1.977 $1.560. $1.820 ie a comma instead of decimal point, so i corrected and solved )
Step-by-step explanation:
Step 1
Average salary =Total amount of employees salaries/ Number of employees
Step 2
Employee Amount of salary per month
Wilma $1,820
Mavis, $1,615
Martha, $1,977
Tom $1,560.
Total = $ $6,972
Average salary per month = $1,820 + $1,615+$1.977+$1.560/4 =$6,972/4= $1,743
Is 3.14596387 a rational number?
Find the unknown angles.
Step-by-step explanation:
70°+70°+a°=180°
a°=180°-140°
a°=40°
p°=70° (vertically opposite angle)
q°=70°(alternate interior angles)
hope it helps
5x + y = 12
Solve for y plz
Answer:
i think 7
Step-by-step explanation:
Answer:
its 7
Step-by-step explanation:
cuz in this you have to move the 5 from the 12 can i have brainleyist
Solve for x (see image)
Answer:
x = 18
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2
x^2 + 24^2 = ( 12+x)^2
FOIL the right side
x^2 +576 = 144 + 24x + x^2
Subtract x^2 from each side
576 = 144 + 24x
Subtract 144 from each side
576-144 = 24x
432 = 24x
Divide each side by 24
432/24 = 24x/24
18=x
SD and SG are tangent to ⊙ K. Identify SG. HELP!!
Answer:
63
Step-by-step explanation:
Tangents drawn from external point to a circle are congruent.
Therefore,
SG = SD
8x - 9 = 5x + 18
8x - 5x = 9 + 18
3x = 27
[tex]x = \frac{27}{3} \\ x = 9 \\ SG = 8x - 9 \\ SG =8 \times 9 - 9\\ SG =72 - 9 \\ \huge \red{ \boxed{SG =63}}[/tex]
Answer: 63
Tangents drawn from external point to a circle are congruent.
SG = SD
8x - 9 = 5x + 18
8x - 5x = 9 + 18
3x = 27
Step-by-step explanation: 63
A regulation baseball field measures 90 feet between each base. what is the distance around the bases in meters?
Answer:
27.43 meters in between each base, 109.72 around all the bases.
Step-by-step explanation:
There are 0.3 meters in one foot, so 0.3 x 90= 27.43. 27.43x4=109.72
5x + 3y = 25 & x - 3y = 15.
Answer:
x = 20/3
Step-by-step explanation:
a principal square root is always...
Answer:
a principal square root is always positive
Step-by-step explanation:
When you take a square root of a number, you get a positive and negative number
The principal square root is the positive number
9. What is the angle of rotation for the following figure?
HELP
HELPPP
Answer:
90° im pretty sure is the correct answer
Donovan wants to earn a 70% in Mr. Mottola's class. He knows he currently has an 67% in the class after 9 grades. What is the minimum grade Donovan would need to earn in order to have a 70%.
Which best describes what is happening in section B
Answer:
Jamal is traveling at a constant speed.
Step-by-step explanation:
because it's a line going straight and not down.
36599 round to the nearest thousand 100,699 round to the nearest thousand
Answer:
36,599 rounded to the nearest thousand is 37,000
100,699 rounded to the nearest thousand is 101,000
hope this helps! best of luck <3
Answer:
37000
101000
Step-by-step explanation:
WHICH DECIMALS ARE REPEATING DECIMALS?
A. 0.375
B. 3.44
C. 4.95
what is 2*2 please answer this question
Answer:
4
Step-by-step explanation:
Answer:
5-1
Step-by-step explanation:
(-1/3)-(-9/5) to the lowest term
Answer:
Step-by-step explanation:
-1/3 + 9/5
-3/15 + 27/15
24/15 = 8/5 = 1 3/5
Ms. Bailey is taking her children and their friends to the movies. She will pay $10 for her adult ticket and $6 for each child ticket. Ms. Bailey spends $46.00 at the movies. Write and solve an equation to determine the number of child tickets Ms. Bailey purchases.
Please include the Variable, Equation, and the Solution
Answer:
Ms. Bailey purchases 6 children tickets
Step-by-step explanation:
x=number of adult tickets
y=number of children tickets
10x+6y=46
plug in what you know
10(1)+6y=46
10+6y=46
subtract 10 from both sides
6y=36
divide both sides by 6
y=6
6 children tickets