Answer:
The operation is commutative
Step-by-step explanation:
Operations
The * operation is defined on the set of real numbers R by
[tex]a * b=a^3+b^3-3ab[/tex]
For the operation to be commutative a*b should be equal to b*a.
Computing b*a:
[tex]b * a=b^3+a^3-3ba[/tex]
Rearranging:
[tex]b * a=a^3+b^3-3ab[/tex]
It's apparent that a*b=b*a, thus the operation is commutative
how do i figure out prime numbers
Answer:
You can figure out prime numbers by simply knowing that you can divide that number not more than one. For example, you could know that a prime number is 7 because you can only divide it once like 7 divided by 1. While for number 14, you can divide it twice which isn't a prime number because there is 14 divided by 2 and 14 divided by 1 which is more than one to divide. That's possibly an easy way to understand how to figure them out.
make m the subject of your formula. f = 4m+3/m-1
Answer:
m = 3+y/y-4
Step-by-step explanation:
Add a grocery store bananas cost $.90 each and oranges cost $.80 each Ava has $15 to spend if Ava wants to buy an equal amount of bananas and oranges at most how many of each can't you buy
Answer:
9
Step-by-step explanation:
We are given that
Cost of each banana=$0.90
Cost of each orange=$0.80
Ava have total money=$15
We have to find the number of each if Ava wants to buy an equal amount of bananas and oranges at most.
Let x be the number of each.
According to question
[tex]0.9x+0.8x=15[/tex]
[tex]1.7x=15[/tex]
[tex]x=\frac{15}{1.7}[/tex]
[tex]x=8.8\approx 9[/tex]
[tex]x=9(approximately)[/tex]
Hence, number of banana bought=9
Number of oranges bought=9
1) Um barbante tem 10,85 metros de comprimento. Se você dividir em 5 pedaços de mesmo comprimento, quantos centímetros terá cada pedaço? * 1 ponto (a) 2,17 cm (b) 217 cm (c) 21,7 cm (d) 0,217 cm
Answer:
(b) 217 cm
Step-by-step explanation:
The computation of the number of centimeters will each have is shown below:
= Length of the string ÷ number of pieces
= 10.85 meters ÷ 5
= 2.17 meters
= 217 centimeters
hence, the correct option is b.
How many solutions are there to the equation 7m = 49?
a:2
b:1
c:0
d:infinite
Answer:
B.) 1
Step-by-step explanation:
49 ÷ 7 = 9
Samantha used four balls of yarn to knit a doll blanket. Now she wants to knit a similar blanket that is three times as long and three times as wide. How many balls of yarn will she need to complete the larger blanket?
Answer:
36
Step-by-step explanation:
She kniited a blanket with a certain area with 4 balls.
The new blanket will 3x3 =9 times as much area, so 9 x4 = 36 balls of yarn
You have $20 and earn $0.75 for each cup of orange juice you sell. Write an equation that represents the total amount A (in dollars) you have after selling j cups of orange juice.
Answer:
A= 20 + 0.75*j
Step-by-step explanation:
Giving the following information:
You have $20 and earn $0.75 for each cup of orange juice you sell.
To calculate the total amount of dollars (A), we need to use the following formula:
A= 20 + 0.75*j
j= number of cups
For example, for 15 cups:
A= 20 + 0.75*15
A= $31.25
Use the distributive property to remove the parentheses.
-5(-w-3v+6)
Answer:
5w+15v-30
Step-by-step explanation:
A grocer buys x kg of potatoes at Birr 1.50 per kg and y kg of onions at Birr 2.25 per kg.How much money does he pay in Birr?
Answer:
a is the answer
Step-by-step explanation: i k n o w
The following equation was correctly simplified:
(2x3 - 3x2 + 5x - 1)+ (3x3 - 3x2 - 2x + 4) = 5x3 + 6x2 + 3x + 3
why is it false?
Answer:
Step-by-step explanation:
it is -6x2 not plus
if my answer helps please mark as brainliest.
Write the standard equation for the circle center (–9, 6), r = 9
Answer:
Step-by-step explanation:
(x+9)² + (y-6)² = 9²
An isosceles triangle has two congruent side lengths of 20 centimeters. The base of the triangle is 10 centimeters. Find the height of the
isosceles triangle
(Use the Pythagorean Theorem & DONT GIVE ME THE ANSWER, I JUST WANT THE EQUATION) Thx :)
Answer:
(half of base)² + (height)² = (20)²
Step-by-step explanation:
In an isosceles triangle, the angle bisector from the 3rd angle to the opposite side is a perpendicular bisector, so you split the isosceles triangle into two congruent right triangles.
This technique of 'splitting the isosceles' is used a LOT.
Are 25 milligrams lighter or heavier than 25 centigrams
Please help it's for homework and it says explain too so please help
Answer:
25 mg. is lighter than 25 cg.
Step-by-step explanation:
Well,
The prefix "milli" means thousandth and the prefix "centi" means hundredth. So a milligram will be one-tenth of a centigram.
10 mg. = 1 cg.
25 mg. = 2.5 cg.
2.5 cg. < 25 cg.
25 mg. is lighter than 25 cg.
Answer:
25 milligrams are lighter, because 1 milligram equivales to 1 gram multiplied by 100.
Step-by-step explanation:
If x= 1 and y = -1
Find:
Answer:
answer is 0
..................3rd option
Answer:
x=1,y=-1
x3+y3=(1)3+(-1)3=1-1=0
so, answer is (c) 0
(100Y 2 - 7ΟΥ + 49) (10Y + 7)
we have to multiply
Answer:
1300y^2+1400y+343
Step-by-step explanation:
Use FOIL to cancel out the products
Create and solve a multiplication problem to show that the product of a whole number and a fraction will be equal to the whole number.
Robert has 5 pizzas at his birthday party, and each pizza is cut into 5 slices. His guests take 2 pieces from each pizza. What equation would represent the amount of pizza that is left?
Answer:
3 whole pizzas left
Step by step explanation:
well if the quest take 2 out of every 5 wholes then u would be left with 3
5 5 5
so u add then together and get [tex]3\\ 5[/tex] and add that 5 times
so u would get [tex]15\\ 5[/tex] and if u simplify u would have 3 whole pizzas left
:)
In the diagram below lines HA and BC are parallel. If angle GEC = 135 degrees, then what is angle DEC?
PLZ HELP!! I WILL GIVE BRAINLIEST TO FIRST ANSWER! :) have a great day
Answer:
angle DEC is 45 degrees
Step-by-step explanation:
angle DEC is 45 degrees because it is supplementary to 135 degrees
(with 135 degrees, adds up to 180 degrees)
a rectangular field has as dimensions 49 m and 36 m calculate the length of the side of square having the same area as the fieldI want the solution
Answer:
length =25m
breadth =16m
area of rectangle =25*16
according to question
area of rectangle =Area of Square
Area of squre =400m
Side *Side =400m
(Side)=(20m)
Side =20m
25+c+b
Answer Choices:
A)41
B)32
C)40
D)37
Answer:
C
Step-by-step explanation:
Andrea earns 10 points for every word she spells correctly on a quiz which equation can be used to find p, the total number of points andrea earns for spelling w words correctly
Answer:
P = 10w
Step-by-step explanation:
Number of point per correct spelling = 10
Number of words spelt correctly = w
Total points, p
P = (number of points per correct spelling * number of words spelt correctly)
P = 10 * w
P = 10w
write standard form a.) 0.0000918 b.) 12.002×10-³
Answer:
A. 9.18 x [tex]10^{5}[/tex]
B.12002
Step-by-step explanation:
Two students, Abby and Melissa go for a walk. Abby begins walking 30 seconds earlier than Melissa .
-Abby walks at a speed of 8 feet per second.
-Melissa walks at a speed of 9 feet per second.
Abby had been walking for BLANK seconds when both students had walked exactly the same distance. (round to the nearest whole)
please help me
Answer:
270 seconds
Step-by-step explanation:
Melissa's time = x seconds
Abby's time = (x + 30) seconds
Abby walks at a speed of 8 feet per second, and Melissa walks at a speed of 9 feet per seconds.
But, speed = [tex]\frac{distance}{time taken}[/tex]
For Abby,
8 = [tex]\frac{distance}{(x + 30)}[/tex]
distance = 8(x + 30) ................. 1
for Melissa,
9 = [tex]\frac{distance}{x}[/tex]
distance = 9x ............. 2
From equations 1 and 2, for the same distance;
8(x + 30) = 9x
8x + 240 = 9x
x = 240 seconds
Abby's time = (x + 30)
= (240 + 30)
= 270 seconds
So that Abby has been walking for 270 seconds when both students had walked exactly the same distance.
The time taken is 270 seconds.
Given that,
Two students, Abby and Melissa go for a walk. Abby begins walking 30 seconds earlier than Melissa . Abby walks at a speed of 8 feet per second. Melissa walks at a speed of 9 feet per second.Here we assume Melissa time be x and Abby time be x + 30Based on the above information, the calculation is as follows:
8(x + 30) = 9x
8x + 240 = 9x
x = 240
So Abby time should be
= 240 + 30
= 270
Learn more: brainly.com/question/17429689
plz help me step by step
Answer:
x = - 6
Step-by-step explanation:
Equation
1/3 * (-9x +12) = 22 Multiply both sides by 3
Solution
3 * 1/3(-9x + 12) = 22*3
- 9x + 12 = 66 Subtract 12 from both sides.
-9x = 66 - 12 Combine
-9x = 54 Divide by -9
x = 54/-9
x = - 6
sharon said she spent 5/7 of her clothing allowance on a winter. if she was givan a $70 clothing allowance, how much was the coat
Answer:
$50
Step-by-step explanation:
1. First you need to divide 70 by 7.
2. Your answer should be 10.
3. You then need to multiply the product, 10 by 5.
4. You answer should be 50 and because we are using this in a money situation the answer is $50.
Answer:
50
Step-by-step explanation:
Please help ASAP please
Answer:
1,-5
3,1
0,0
-2,-3
Step-by-step explanation
im not sure any of this is correct but i tried my hardest
what is 3y-6=5y+6 answer plz
Answer:
y = − 6
Step-by-step explanation:
Find the slope: (-2,5) and (2,1
Please help!!!!
a sweet snack and a salty snack. Here is a two-way table showing the number of adults
and children who made each choice of snack. Answer each question below using the
table.
sweet snack salty snack total
adult 57
88
145
child 77
31
108
total 134
119
253
134
1. How many total people chose sweet snacks?
people
145
adults
2. How many adults chose salty snacks?
3. What percentage of the people who attended the social were children?
Round your answer to the nearest tenth. Do NOT grid in the percent symbol.
Answer:
76
Step-by-step explanation:
khan x math
A teacher asks each student in the class to randomly choose a number between 1 and 80 and write it down. Devon and Michiko write down a number. What is the probability that both of their choices will be greater than 60? Express your answer as a decimal. If necessary, round your answer to the nearest thousandth.
0.063
0.06
0.938
0.25
Answer:
0.063
is the correct answer
Answer:
0.063
Step-by-step explanation: