Answer:

Step-by-step explanation:
we are given that A vegetable garden and a surrounding as a shaped like a square that together a 11 ft wide. The path is 2 feet wide.since together the width of Vegetable garden and path is 11 ft, the width of the vegetables garden will be the difference between the total width and the width of path Thus,

simplify substraction:

recall that, every single side of a square is equal to each other therefore the the area of the garden will be

simplify square:

together the garden and path makes a square of every side length 11 ft saying that the area will be:

simplify square:

the area of path will be the difference between the total area and the garden area therefore,

simplify addition:

to figure out how many bags are needed to cover the path. we just need to divide the area of the path by the area of a bag of gravel and that yields:

simplify division:

hence,
<u>4</u> bags are needed to cover the path.
Answer:
$2,459.21
Step-by-step explanation:
(see attached for reference)
recall that the formula for compound interest is:
A = P [ 1 + (r/n)^ (nt) ]
where,
A = Final amount ( we are asked to find this)
P = principal amount = given as $2,340
r = Annual Interest Rate = given as 5% = 0.05
n = number of times compounded in a year = 4 (compounded quarterly)
t= time = 1 year
Substituting the values into the equation,
A = P [ 1 + (r/n)^ (nt) ]
A = 2,340 [ 1 + (0.05/4)^ (4·1) ]
A = $2,459.21
Answer:
Hello!
The answer to this question is:
X = -37
y = -37/3
Step-by-step explanation:
Answer:
The correct answers are x + y = 5600 and x - y = 700.
Step-by-step explanation:
Write a system of equations in x and y describing the situation. Do not solve the system.
Keiko has a total of $ 5600, which she has invested in two accounts.
Let x be the amount of money in the larger account and y be the amount of money in the smaller account.
So, Keiko has invested her $5600 in two accounts x and y.
Thus x + y = 5600.
Also, given by the problem, the larger account (x) is $ 700 greater than the smaller account (y).
Thus x - y = 700.
Thus the two system of equation in x and y describing the given situation are
x + y = 5600 and x - y = 700
Answer:

Step-by-step explanation:


This is because we subtract 456 from each side.

We then divide the whole equation by <em>x</em> .

Adding 50 to both sides gives us <em>x</em> by itself, hope this helps :D