Let the amount of shells collected by Aaron be

and the amount of shells collected by Maria be

respectively. Then the following system of equations should be solved:

First of all, express

out of first equation:

Then, replace

in second equation with found expression and solve it:



Finally, replace

in first equation with found value and solve it too:


So, Aaron has found
7 shells while Maria has found
21.
<span>We have this equation:
</span>

and we need to find the value of x.
First of all, we multiply the whole equation for 1/2, so our goal is to isolate x, therefore:
Next step we must do is to apply <span>logarithms:
</span>

Next, we have to apply identities and then to solve the equation:




Finally, we have the value of x which was our goal. This is the answer for the question above:
Answer:
Step-by-step explanation:
Assume that the two prisms have bases of equal area.
Then the volume of the rectangular prism is V = (base area)(height).
The volume of the triangular prism is V = (1/3)(base area)(height)
We could compare the two volumes by creating the ratio inequality
(1/3) (base area)(t-height)
------------------------------------------
(base area)(r-height)
The triangular prism will have the greater volume for (1/3)((t-height) > r-height.
Answer:
−3 x −6
Step-by-step explanation:
Answer:
The cost will be the same after 1 month
Step-by-step explanation:
Step 1: set up the equation
club A= 28x+24 club B= 35x+17
club A=club B: 28x+24=35x+17
Step 2: Get rid of the smallest X
28x+24=35x+17
-28 -28
24=7x+17
Step 3: Get rid of the constant next to the variable to isolate the variable
24=7x+17
-17 -17
7=7x
Step 4: Inverse operation to remove variable
7÷7x=7x÷7x
1=1
I hope this helped, im not too good at explaining but im positive the solution is correct.