F is number of frogs sold
p is number of Popsicles sold
6f+1.5p=94.50
f+p=36
Rearrange
p=36-f
Substitute
6f+1.5(36-f)=94.5
Reduce
6f+54-1.5f=94.5
4.5f=40.5
F=9
Substitute
9+p=36
P=27
George sold 27 Popsicles and 9 Frogs
M is a factor of n so the answer is d
Answer:
Real numbers are "closed" under multiplication
Irrational numbers are "not closed" under division
Integers are "closed" under subtraction
Positive ration numbers are "closed"
Hope this helps! :)
Answer:
The dimensions of the yard are W=20ft and L=40ft.
Step-by-step explanation:
Let be:
W: width of the yard.
L:length.
Now, we can write the equation of that relates length and width:
(Equation #1)
The area of the yard can be expressed as (using equation #1 into #2):
(Equation #2)
Since the Area of the yard is
, then equation #2 turns into:

Now, we rearrange this equation:

We can divide the equation by 5 :

We need to find the solution for this quadratic. Let's find the factors of 160 that multiplied yields -160 and added yields -12. Let's choose -20 and 8, since
and
. The equation factorised looks like this:

Therefore the possible solutions are W=20 and W=-8. We discard W=-8 since width must be a positive number. To find the length, we substitute the value of W in equation #1:

Therefore, the dimensions of the yard are W=20ft and L=40ft.
18%=0.18
380×0.18=68.4 increase
380+68.4=448.4
the easier way is to think 1 times any number is the same number so 380(1+0.18)=448.4 (just like adding tax to the price of something to see how much you'll actually pay)