Answer:
-(-5) ± √13 5 ± √13
x = ----------------------- = ---------------
2(3) 6
Step-by-step explanation:
This is a quadratic equation, with coefficients 3, -5 and 1.
The discriminant, b² - 4ac, turns out to be (-5)² - 4(3)(1), or 25 - 12 = 13
Thus, the roots are:
-(-5) ± √13 5 ± √13
x = ----------------------- = ---------------
2(3) 6
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
Dividing a whole number and an improper fraction seems tricky, but it just has one or two more steps than the normal process. First, convert the whole number "9" into a fraction by giving it a denominator of "1". It should look like 9/1. Now that both numbers are converted into like formats (improper fractions), you should have 9/1 divided by 5/3.
Second, flip 5/3 over into 3/5 - this is the "reciprocal". Now you have 9/1 divided by 3/5. It's just a matter of multiplying across the math sentence. Multiply the numerators (9x3) and the denominators (1 x 5). Your new fraction should be 27/5. This is your answer in the improper fraction format.
You can create other formats depending on the expected answer. For a mixed number, "divide your fraction UP" (27 divided by 5) which gives you 5 and 2/5. This can be further converted into 5.4 if you need your answer in decimal form.
Answer:
x = 4 ±9i
Step-by-step explanation:
x^2 - 8x + 97 = 0
Complete the square by subtracting 97 from each side
x^2 - 8x =- 97
Take the coefficient of x
-8 and divide by 2
-8/2 = -4
Then square it
(-4)^2 = 16
Add it to each side
x^2 - 8x + 16 = -97+16
(x-4)^2 = -81
Take the square root of each side
x-4 = ±sqrt(-81)
x-4 = ±9i
Add 4 to each side
x = 4 ±9i
Answer:
total profit gained = 20%
Step-by-step explanation:
profit = SP - CP = 18 - 15 = 3 naira
total profit percentage =
- ( profit / CP ) × 100
- 3 / 15 × 100
- 20%
hence her total percentage gain was 20%
