Answer:
<u>3.4</u>
Step-by-step explanation:
Converting all terms to multiples of 10³ :
- 4 × 10² + 3 × 10³
- 0.4 x 10³ + 3 x 10³
- (0.4 + 3) × 10³
- <u>3.4</u> × 10³
To find the perfect square of an equation, you just take your "middle" term (in this case, 16), divide it by 2, then square it.
16/2 = 8
8^2 = 64
your perfect square is 64. you can check it really quick by trying to factor x^2 + 16x + 64 and seeing that it breaks down perfectly into (x + 8)(x + 8), which can be written as (x + 8)^2, showing that you have a binomial with a perfect square!!
Answer:
<u>The price of oranges is US$ 2 per pound and the price of bananas is US$ 1 per pound.</u>
Step-by-step explanation:
1. Bananas and oranges bought by Nancy:
Oranges = 7 pounds
Bananas = 3 pounds
Cost = US$ 17
2. Bananas and oranges bought by Nancy's husband:
Oranges = 3 pounds or 3x
Bananas = 6 pounds or 6y
Cost = US$ 12
3x + 6y = 12 (Dividing by 3 at both sides of the equation)
x + 2y = 4
x = 4 - 2y
3. Total Purchases:
Oranges = 10 pounds or 10x
Bananas = 9 pounds or 9y
Cost = US$ 29
10x + 9y = 29
10 (4 - 2y) + 9y = 29 (Replacing x with 4 - 2y from 2nd purchase)
40 - 20y +9y = 29
-11y = 29 - 40
- 11y = - 11
y = 1 (Dividing by -11 at both sides)
<u>Pound of bananas = US$ 1</u>
10x + 9 (1) = 29 (Replacing y by 1 in the original formula)
10x + 9 = 29
10x = 20
x = 2 (Dividing by 10 at both sides)
<u>Pound of oranges = US$ 2</u>
Answer:
3/8 of 24 is 9
9 are sharpened so 24-9=15
15 pencils are not sharpened.
