Jim's backyard:
15 5/6 yd long
10 2/5 yd wide
Sod pieced:
1 1/3 yd long
1 1/3 yd wide
Area of backyard:
15 5/6 times 10 2/5 =
164 2/3 yd
Area of Sod Piece:
1 1/3 times 1 1/3 =
1 7/9 yd
Divide area of backyard by area of sod piece :
164 2/3 divided by 1 7/9 =
92 5/8
He will need to buy 93 pieces of sod to cover his backyard.
Answer:
Step-by-step explanation:
This is the concept of arithmetic sequence. To get the recursive formula that models the total amount Jobie has in her account we use the arithmetic formula given by:
an=a+(n-1)d
where:
an=nth term
a=first term
n=number of terms
d=arithmetic difference
in our case
a=$325
d=$10
the initial amount was:
a0=325
the amount in the second month will be:
a1=325+10
the amount in the thrid month will be:
a2=a1+10
after n months the we shall have:
an=a_(n-1)+10
hence the recursive formula will be:
an=a_(n-1)+10
where:
n=1,2,3,4,...,
a0=325
A: 700÷4=175 (700 people divided into 4 hours is 175 people per hour). b: 700-270=430 (700 people to be fed minus the 270 already fed is 430 people left to be fed). I hope this helps!
Answer:
<em>x=1, y=1, z=0</em>
Step-by-step explanation:
<u>System of Equations</u>
We are required to solve the system of equations by elimination:
![\left\{\begin{matrix}-2x+2y+3z=0\qquad [1]\\-2x-y+z=-3 \qquad [2]\\2x+3y+3z=5 \qquad [3]\end{matrix}\right](https://tex.z-dn.net/?f=%5Cleft%5C%7B%5Cbegin%7Bmatrix%7D-2x%2B2y%2B3z%3D0%5Cqquad%20%5B1%5D%5C%5C-2x-y%2Bz%3D-3%20%5Cqquad%20%5B2%5D%5C%5C2x%2B3y%2B3z%3D5%20%5Cqquad%20%5B3%5D%5Cend%7Bmatrix%7D%5Cright)
Adding [1] and [3], and subtracting [1] and [2]:
![\left\{\begin{matrix}5y+6z=5\qquad [4]\\3y+2z=3\qquad [5] \end{matrix}\right.](https://tex.z-dn.net/?f=%5Cleft%5C%7B%5Cbegin%7Bmatrix%7D5y%2B6z%3D5%5Cqquad%20%5B4%5D%5C%5C3y%2B2z%3D3%5Cqquad%20%5B5%5D%20%5Cend%7Bmatrix%7D%5Cright.)
Multiplying [5] by -3 and adding to [4]:
Solving:
Substituting into [5]:
Simplifying:
z=0
Substituting into [3]
Operating:
x=1
The solution is
x=1, y=1, z=0
