Answer:
Step-by-step explanation:
Area = 84sqaure inch
Width = 2 1/2inch = 5/2inch
Area = l × width
So: 84 = l × 5/2
168 = 5l
l =>168/5
l = 33 3/5
<span>half of the number is (1/2 N) 15 more than that is 1/2 N + 15
1/2 N + 15 =9
subtract 15 form each side: 1/2 N = -6
multiply each side by 2: N = -12
</span>
Answer:
60 miles
Step-by-step explanation:
Jake is traveling at 12 miles per hour
That means, every hour that he travels on the boat, he travels 12 miles
So after 5 hours, he must have traveled 12 miles 5 times
Solve:
- 12mph for 5 hours
- 12 * 5
- 60 miles
He traveled 60 miles
-Chetan K
Answer:
54,18
Step-by-step explanation:
Let one of the numbers be x. The other number be represented as 36-x
(x-(36-x ) = 36
open brackets
x - 36 + x = 36
x + x = 36+ 36 = 72
2x = 72
x = 72/2 = 36
x = 36
The product can then be represented as y = x(36-x) or y=36x-x²
The maximum or minimum is always on the axis of symmetry which has the formula x=-b/2a.
In our case, the axis of symmetry is -36/-2, so x=18.
If one number is 18 and the 2 numbers differentiate by 36, the other number is 18 + 36 = 54
So the 2 numbers are 18 and 54 and the minimum product is 972
We don't need the length AND width of the square. One number
will be enough for an answer, because all sides of a square have
the same length. Let's call that number ' M ' (for 'mystery number').
-- The area of the square is M² .
The question says that ...
-- The length of the rectangle is 2M .
-- The width of the rectangle is (M - 3) .
Therefore ...
-- The area of the rectangle is (2M)(M - 3) = 2M² - 6M .
The question also says that ...
-- The areas of the square and the rectangle are equal:
So 2M² - 6M = M²
Subtract M² from each side: M² - 6M = 0
Divide each side by M : M - 6 = 0
Add 6 to each side : M = 6 .
Check:
Assume ... Side of the square = 6
Then ...
Area of the square = 6² = 36 .
Length of the rectangle = (6 x 2) = 12
Width of the rectangle = (6 - 3) = 3
Area of the rectangle = (12 x 3) = 36
36 = 36 yay!