A Pairs socks that normally sells for eight dollars is on sale for 15% off find the sale price of the socks then find the total cost of the jeans if the sales tax rate is 8%

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

The original selling price of the pair of socks is $8. The pair of socks is on sale for 15%. The new selling price of the pair of socks would be the original price - 15% off the original price. It becomes

8 - (15/100 × 8) = 8 - 0.15×8 = 8 - 1.2 = $6.8

if the sales tax rate is 8%, it means that the total cost of the socks would be the new selling price + 8% of the new selling price. It becomes

Total cost of the pair of socks

= 6.8 + (8/100×6.8) = 6.8 + 0.08×6.8 = 6.8 + 0.544 = $7.344


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The quantity n varies jointly with the product of z and the square of the sum of x and y. When n is 18, x = 2, y = 1, and z = 3. What is the constant of variation?

Answers

Answer:

Constant of variation is,(2)/(3)

Step-by-step explanation:

Joint Variation states that it is jointly proportional to a set of variables i.e, it means that z is directly proportional to each variable taken one at a time.

Given the statement: The quantity n varies jointly with the product of z and the square of the sum of x and y.

"The square of sum of x and y" means (x+y)^2

"Product of z and the square of the sum of  x and z" means z * (x+y)^2

then; by definition we have;

n \propto z * (x+y)^2

our equation will be of the form of:

n = k \cdot z(x+y)^2   ......[1] ; where k is constant of Variation.

Given: n =18 , x =2 , y= 1 and z = 3

Solve for k;

Substitute these given values in [1] we have;

18= k \cdot 3(2+1)^2

Simplify:

18= k \cdot 27

Divide both sides by 27 we get;

k = (18)/(27) = (2)/(3)

therefore, the constant of variation is, (2)/(3)

Hello,

n=k*z*(x+y)²
with n=18,x=2,y=1 and z=3
==>18=k*3*(2+1)²
==>k=18/27=2/3


How many rectangles can you build with a prime number of square tiles?

Answers

You can only make 1 rectangle because 2 square tiles would make a rectangle and 2 is the only prime number that could be used to make a rectangle if the prime number is the amount of tiles used.

How many times can 8 go into 66

Answers

8 can go 8.25 or 8 1/4 times in 66. This is done by using a basic mathematical operation which is division. 66 is divided by 8 which will give us the result of 88.25 or in fraction form it would be 8 1/4.

A 8 can go into 66 eight times, with a remainder of 2.

To calculate how many times 8 can go into 66, we need to perform long division.

Step 1: Set up the long division:

     8 | 66

Step 2: Determine how many times 8 can go into the first digit of 66 (which is 6). It goes 8 times (8 x 8 = 64). Write 8 above the division bar.

     8 | 66

        8

Step 3: Subtract 64 from 66 to get the remainder. Bring down the next digit (which is 6).

     8 | 66

        8

       ---

         26

Step 4: Determine how many times 8 can go into 26. It goes 3 times (8 x 3 = 24). Write 3 above the division bar.

     8 | 66

        8

       ---

         26

        24

Step 5: Subtract 24 from 26 to get the remainder. There is no more digit to bring down, so the division is complete.

     8 | 66

        8

       ---

         26

        24

       ---

          2

The final result is 8 times with a remainder of 2. Therefore, 8 can go into 66 eight times, with a remainder of 2.

To know more about remainder:

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How do you solve this? 3w+2<2w+5

Answers

3w + 2 < 2w + 5

First, subtract 2 from both sides. / Your problem should look like: 3w \ \textless \  2w + 5 - 2
Second, simplify. / Your problem should look like: 3w \ \textless \  2w + 3
Third, subtract 2w from both sides. / Your problem should look like: 3w - 2w \ \textless \  3
Fourth, subtract 3w - 2w to get w. / Your problem should look like: w \ \textless \  3

Answer: w < 3

Simplifying expressions-Please help!!

Answers

Answer:

6.2k

8.11w-10

10.-7m

12.6b

14.8+7x

Step-by-step explanation:

there is a bag filled with 3 blue and 4 red marbles. A marble is taken at random from the bag, the colour is noted and then it is not replaced. another marble is taken at random. what is the probability of getting 2 reds ?

Answers

You can just use some sort of counting principle
The first time you draw a read marble, your odds of getting 1 were 4/7
You are not replacing the marble. Your choice now is 3/6

P(2 reds) = (4/7) * (3/7) = 12/49  <<<<< Answer
the probability is:
(1)/(49)
1/49




good luck