MATHEMATICS MIDDLE SCHOOL

In how many ways can 8 books be arranged on a shelf? A.
8 ways







B.
64 ways







C.
256 ways







D.
40,320 ways

Answers

Answer 1
Answer: Well you can arrange 8 books in 8! ways, which means it is:

1*2*3*4*5*6*7*8=40320 ways
Answer 2
Answer:

Answer:

720 ways.

You would use 6P6 (Permutations) to find the answer.

You can also use the method that goes like this.

Book 1: 6 possible choices

Book 2: 5 possible choices (as you cannot replace the book once you have placed it.)

Book 3: 4 possible choices

Book 4: 3 possible choices

Book 5: 2 possible choices

Book 6: 1 possible choice (as it is the last book that you have not used.)

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Answers

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Airline companies raise and lower their ticket prices based on the supply and demand. Due to high numbers of fliers, one company decided to raise their ticket price for a first-class ticket to $192.50, which represents a 10% price increase.How much did the first-class tickets cost before the price increase?

Answers

The raised price represents 110% of the original price (100% plus the extra 10%)

A percentage is converted into a decimal multiplier by dividing by 100:
(110)/(100) = 1.10

To clarify the final stage, consider this (where n is the original price):
n * 1.10 = 192.50
1.10n = 192.50

From here, basic algebraic rules make solving for n easy:
n = (192.50)/(1.10) = 175

Therefore the original price of a ticket was $175

The sum of three consecutive even numbers is 78. what is the first number

Answers

This is a common algebra problem. Let us start by establishing the numbers. By the way, here is the theory behind the math. 

If we call the first number n, then the next consecutive even number is 2 away, so we will call it n+2, and so forth, the 3rd number n+4

Lets form an equation! We know that given the sum of the 3 consecutive even numbers is 78, the equation is:

n+(n+2)+(n+4)=78

Combine like terms, and we get: 

3n+6=78

Subtract 6 from both sides.

3n=72

Divide both sides by 3, and we find our number to be: 

n=24

Hope this helped! Good luck. 
x+(x+2)+(x+4)=78\n3x+6=78\n3x=78-6\n3x=72\n \nx= (72)/(3) \n \nx=24

The first number is 24

What is the anwer to3times36

Answers

3 times 36 equals 10836 + 36 + 36= 108
36 times 3 equals to 108 because 3*6=18 and 3*3=9. You use the 1 from 18 and add it to the 9 which makes 10 which also makes 108.

On Mina's block 65% of her neighbors do not have any pets and 35% of her neighbors own at least one pet. If 25% of the neighbors have children but no pets and 60% of the neighbors who have pets also have children what percent of the neighbors have children?

Answers

Answer:

89

Step-by-step explanation:

Y = −x + 2y = 3x + 1

Which description best describes the solution to the system of equations?


line y=-x+2 intersects line y=3x+1.
Lines y=-x+2 and y = 3x + 1 intersect the x axis
lines y=-x+2 and y 3x+ 1 intersect the y-axis

Line y=-x+2 intersects the origin

Answers

line y=-x+2 intersects line y=3x+1.

this is right ↑ I took the test myself and was a little unsure bc some people were saying it was 'lines y=-x+2 and y=3x+1 intersect the y-axis' but it is actually A! Thanks so much! Have a great day!
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