THIS IS AN EXAMPLE:
Answer: Bradley scored 854 points and Harner scored 748 points.
Step-by-step explanation:
Start by representing the problem mathematically. "B" will represent Bradley's score, and "H" will represent Harner's score.
B+H=1602 represents that the sum of the scores is 1602.
B-H=106 represents that Bradley has 106 more points than Harner.
Now, combine the like terms in the two equations to get 2B=1708 . Now divide each side by two to find that Bradley scored 854 points.
Now, we can just subtract Bradley's score from the total score to get Harner's score. 1602-854=748, so Harner scored 748 points.
Answer:
$412.50
Step-by-step explanation:
15% of 2750 = 0.15 × 2750 = 412.5
The volume is (area of cross-section) x (length) .
-- The cross-section is a triangle. The area of a triangle is
Area = (1/2) (base) (height) .
In this one, the base is 9/4 m and the height is 3-1/3 m .
Area = (1/2) (9/4 m) (3-1/3 m)
Area = (1/2) (9/4) (10/3)
Area = 90/24 m² .
-- Volume = (area of cross-section) x (length)
Volume = (90/24 m²) x (7-1/3 m)
Volume = (90/24) x (22/3) m³
Volume = (1,980 / 72) m³
<em>Volume = 27.5 m³ </em>
You started out with 260, and increased to 430.
The amount you increased was (430 - 260) = 170
170 is (170/260) = <em>65.4%</em> of what you started with.
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Another way:
The new amount is (430/260) of the old amount.
430 / 260 = 1.654 = 165.4%
The original amount was 260.
You started with 100% of it.
You ended up with 165.4% of it.
That's an increase of 65.4% .
<u>Given</u>:
Given that the side length of the cube is 1.8 cm
We need to determine the lateral surface area of the cube.
<u>Lateral surface area of the cube:</u>
The lateral surface area of the cube can be determined using the formula,
where a is the side length.
Substituting a = 1.8 in the above formula, we get;
Squaring the term, we get;
Multiplying, we get;
Thus, the lateral surface area of the cube is 12.96 cm²
