Answer:
Step-by-step explanation:
The polynomial given for simplification is:
Now, we combine like terms using the commutative property of addition.
The commutative property of addition states that:
So, the order can be shuffled when we add terms.
The terms containing 't' are grouped together and the constant terms are grouped together. This gives,
Now, we group them using associative property and converse of distributive property as:
Simplifying the above expression, we get:
Therefore, the simplified form is
Answer:
-5/6
Step-by-step explanation:
A great way to divide fractions is to use the "leave it, change it, flip it" method. You leave the first fraction as it is, change the division sign to a multiplication sign, and flip the second fraction so you get the reciprocal. Like this:
-5/7 ÷ 6/7
-5/7 x 6/7
-5/7 x 7/6
Then you multiply through. First -5 x 7, -35, and then 7 x 6, 42, to get -35/42. Because both of these are divisible by 7, we can simplify to get -5/6.
They must sell 28 candles in order to gain more than $125 profit.
$125/$4.50 = 27.77 (round it up) = 28.
28 x $4.50 = $126
As long it’s over 28 candles, you’ll make more profit than $125.
Answer:
standard form
Step-by-step explanation:
If you “unfold” the wrapping paper around this triangular prism, you have
2 triangles
Base 40, to find the height(dotted perpendicular line segment)
a^2 + b^2 = c^2. ... 20^2+ b^2 = 29^2 … 400+ b^2 = 841
- 400. -400
b^2 = 441 … b=21 this is height
1/2(40)(21) = 420 + 420
3 rectangles
Two are 70x29 = 2030 +2030
One is 70x40 = 2800
Add all 5 numbers:
420
420
2030
2030
+ 2800
7700
