To be able to give the answer to this item, we are to represent first with any variables the amount he earns each weekend for mowing the same field. Also, we represent the number of weeks he had worked by the variable y. The total amount of money he will have after working for y weeks is,
T = xy
Since, we are not given with any other information of the other expenses that have to be paid then we can say that if T is already equal to the price of the new lawnmower then, Tom will be able to purchase it and begin his lawn mowing business in due time.
(a) The perimeter of the shape is the sum of half a circumference and the diameter itself.
The circumference of a circle with radius
is
, and since
we can write the circumference as

So, half a circumference is

Ad we get the perimeter by addind the diameter:

(b) Given the perimeter, we can solve for
:

So, we can divide both sides by the parenthesis and we have

Answer:
-11/8
Step-by-step explanation:
-7/8 - 1/2 = -11/8
Answer:
Each neighbor will get 12 candles so in total, 60 candles will be sold.
Step-by-step explanation:
For this, I will be factoring by grouping to solve for y.
Firstly, factor y^3 + 5y^2 and -9y - 45 separately, Make sure that they have the same quantity on the inside:

Now you can rewrite it as
. However we are not finished factoring.
Now with y^2 - 9, we will apply the difference of squares rule, which is
. Apply it as such:

Now that it is completely factored, we can apply the Zero Product Property and solve for y:

<u>In short, y = -5, -3, and 3.</u>