Answer:
+2
Step-by-step explanation:
=> 
=> 
<em>Arranging it in descending order</em>
=> 
<u><em>So, the coefficient of x² in this expression is +2</em></u>
2 cakes - Theresa's and Joe's
Theresa's cake had 6 pieces after she cut it. (2 times the size of Joe's pieces)
Joe's cake had 12 pieces after he cut it. (1/2 the size of Theresa's pieces)
We know that 8/12ths of ONE cake were eaten and that Joe ate 2 of his pieces.
We want to know how many pieces Theresa ate of her cake. Keeping in mind that her pieces are equal to 2 of Joe's pieces we can solve this question.
8/12 eaten total
if 2/12 by Joe
then 8-2 = 6, 6/12 by Theresa
(BUT: Theresa's pieces were twice the size of Joe's so we will divide by 2)
6/12 = 3/6
Answer: Theresa ate 3 pieces of her cake
Answer:
8.284 × 10^4 m^2
Step-by-step explanation:
The area is the product of length and width:
(5.45·10^5 m)·(0.152 m) = 0.8284·10^5 m^2 = 8.284·10^4 m^2
There are so many types of angles, let's see what we've got here!
--(5x - 17) and 48 are alternate interior angles, which means that they are congruent.
--(5x - 17) and y are supplementary angles.
--48 and y are same-side interior angles, which means that they are also supplementary.
Let's solve for x first.
5x - 17 = 48
5x = 65
x = 13
Now, let's solve for y.
48 + y = 180
y = 132
Hope this helps!! :)
Answer:
10%
Step-by-step explanation:
Given: CP of lemon is $600.
3/4 of lemon sold at 20% loss
Remaining lemon at 20% gain.
Considering the quantity of lemon remain constant.
Cost price of 3/4 of lemon= 
As given, 3/4 of lemon sold at 20% loss.
∴ Selling price of 
Selling price= 
Hence, selling price of 3/4 lemon is $360.
Now, the cost price of remaining lemon 
∴ The cost price of
As given, remaining 
∴ Selling price of 
Selling price of 
Hence, selling price of 1/4 lemon is $180
Loss\profit percent= 
∴ Loss\profit percent= 
Hence, the loss percentage is 10%