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
Answer:
Constant of variation is,
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
"Product of z and the square of the sum of x and z" means
then; by definition we have;
our equation will be of the form of:
......[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;
Simplify:
Divide both sides by 27 we get;
therefore, the constant of variation is,
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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Answer:
6.2k
8.11w-10
10.-7m
12.6b
14.8+7x
Step-by-step explanation: