All categories

2 years ago

PLEASE HELP ME FIND THE AVERAGE!

Mathematics

1 answer:

Studentka2010 [4]2 years ago

7 0

Answer:

The answer is 22

The sum of two numbers is 48:

x + y = 48 ⇒ x = 48 - y

One third of one number is 5 greater than one sixth of another number:

1/3x =5 + 1/6 y

1/3(48 - y) = 5 + 1/6y

1/3 * 48 - 1/3 * y = 5 + 1/6 y

16 - 1/3y = 5 + 1/6y

16 - 5 = 1/6y + 1/3y

11 = 1/6y + 2/6y

11 = 3/6y

y = 11 * 6 / 3

y = 22

x = 48 - y

x = 48 - 22

x = 26

The smallest number is 22.

Step-by-step explanation:

You might be interested in

How would you solve this

nika2105 [10]

To find 10% you would just divide 200 by 10
=200/10
=20

hope this helped !

3 0

3 years ago

Determine the reveune for selling 500 helmets

Tasya [4]

Answer:

x is the price the helmets were sold at.

y is the business expenses.

r is the revenue.

500x - y = r

Step-by-step explanation:

500x - y = r

We multiply x, the price that the helmets were sold at. Then we subtract y, which is the business expenses. After this, we get r, our revenue.

4 0

3 years ago

John finds a toy train set John finds a toy train set on sale for 20% off at a toy store. The original price was $35. John

Helen [10]

Well here's your answer straight <u><em>he must pay 29.82$ </em></u>and here's my work,

20% of 35 is 7 and since its 20% off we must subtract 35-7=28
Next it said there's a 6.5 tax so that means we are adding on to 28$
6.5 of 28 is 1.82 so we add 28+1.82 which equals your answer 29.82

5 0

3 years ago

Help ASAP pls giving brainliest

inna [77]

After arranging the data from least to greatest:

Q1: 12.5
Q3: 16
IQR ( Q3-Q1) : 3.5

6 0

3 years ago

Part A: The area of a square is (9x2 − 12x + 4) square units. Determine the length of each side of the square by factoring the a

Sladkaya [172]

Answer:

Part A: The length of each side is $3x-2$ units long.

Part B: The dimensions are 5x-4 and 5x+4 units long.

Step-by-step explanation:

Part A:

--> $9x^2-12x+4$

--> Multiply 9 times 4 to see the factors of that product

--> 9 times4 = 36

Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36

Use the factor 6 and make it negative so -6

add another -6

Keep in mind that it is -6x

--> 9x^2-6x-6x+4

Separate the four terms into two different binomials

--> 9x^2-6x and -6x+4

Factor the binomials

With 9x^2-6x you can factor a 3x

So it will 3x(3x-2)

Do the same thing with -6x+4

You can factor out a -2

-2(3x-2)

The reason you factor out a -2 and not 2 is because it has to be same so in this case it is (3x-2)

Take the two numbers that you factored and put them to make an expression so (3x-2)

--> (3x-2)(3x-2) or (3x-2)^2

3x-2 is the length of each side so it is 3x-2 units long

Part B:

-->25x^2-16y^2

Use the difference of squares

take the square root of 25x^2

that is 5x

take the square root of 16y^2

that is 4y

write it in this way (5x+4y)(5x-4y)

These are the dimensions of the rectangle

3 0

3 years ago