9514 1404 393
Answer:
A. 500 cm²
Step-by-step explanation:
The height of the piece of cardboard is the same as the height of the prism: 20 cm.
The width of the piece of cardboard is the sum of the side lengths of the prism: 7 cm + 9 cm + 9 cm = 25 cm.
The area of the cardboard is the product of its height and width.
A = HW
A = (20 cm)(25 cm) = 500 cm²
Remark
Forget the Gamestop. I'd never use it. This one is on the house.
Solution
2.5(10 - x) + 10 = 72 - 1.5x*(5x + 12) The first step is to remove the brackets. Be very careful you understand the bracket on the right.
25 - 2.5x + 10 = 72 - 7.5x - 18 Study the signs carefully. Collect like terms.
35 - 2.5x = 54 - 7.5x Add 7.5x to both sides.
35 - 2.5x + 7.5x = 54 - 7.5x + 7.5x
35 + 5x = 54 Subtract 35 from both sides.
5x = 19 Divide by 5
x = 19/5
x = 3 4/5 = 3.8
Check
When you numbers are so cumbersome, you should check the answer.
<em><u>LHS</u></em>
2.5(10 - 3.8) + 10
2.5(6.2) + 10
15.5 + 10
25.5
<em><u>RHS</u></em>
72 - 1.5(5*3.8 +12)
72 - 1.5(19 + 12)
72 - 1.5(31)
72 - 46.5
25.5
<em><u>RHS = LHS</u></em> The solution checks.
Answer: -4/15
Step-by-step explanation: To add these two fractions together,
we start by finding their <em>Least Common Denominator</em> (LCD).
Since our denominators of 5 and 3 have no factors in common,
our least common denominator is 5 · 3 or 15.
In order to get a denominator of 15 in each fraction,
we multiply top and bottom of the first fraction by 3
and top and bottom of the second fraction by 5.
That gives us -9/15 + 5/15 which simplifies to -4/15.
As your last step, make sure that the fraction
that you end up with doesn't reduce.
In this case, -4/15 does not reduce but watch out for this last step.
Answer:
f(4) is 6,520 greater than g(4)
Step-by-step explanation: