Answer:
Apples = 24
Pears = 40
Step-by-step explanation:
Let u be the unit of fruit in the basket,
number of apples:
number of pears:
now to find u, we equate the two equations.
Now simplify.
Now we can find the original number of apples and pears by substituting u.
so original number of apples =
and original number of pears =
Answer:
5/2, 5/2, -3= (5/2)(2)+b, -8, y=(5/2)x-8
Step-by-step explanation:
Answer: c = -5, -8
Step-by-step explanation:
c^2 +13c+40=0
(c+5)(c+8)=40
c = -5, -8
6)
34, 43, 52, 61, ...
43-34 = 9; 52-43 = 9; 61-52 = 9
The difference between one term and the next is a constant so it is arithmetic sequence
first term: a = 34
difference: d = 9
so the formula:
7)
10, 6, 2, -2, ...
6-10 = -4; 2-6 = -4; -2-2 = -4
The difference between one term and the next is a constant so it is arithmetic sequence
first term: a = 10
difference: d = -4
so the formula:
8)
-3, -10, -17, -24, ...
-10-(-3) = -7; -17-(-10) = -7; -24-(-17) = -7
The difference between one term and the next is a constant so it is arithmetic sequence
first term: a = -3
difference: d = -7
so the formula:
9)
7, 8.5, 10, 11.5, ...
8.5-7 = 1.5; 10-8.5 = 1.5; 11.5-10 = 1.5
The difference between one term and the next is a constant so it is arithmetic sequence
first term: a = 7
difference: d = 1.5
so the formula:
10)
30, 22¹/₂, 15, 7¹/₂, ...
22¹/₂-30 = -7¹/₂; 15-22¹/₂ = -7¹/₂; 7¹/₂-15 = -7¹/₂
The difference between one term and the next is a constant so it is arithmetic sequence
first term: a = 30
difference: d = -7¹/₂
so the formula:
We can solve this equation by using the Square Root Method.
First, take the square root of each side of the equation:
(x-8)^2 = 144 becomes x-8 = 12
Then add 8 to both sides.
x=20
The original lawn was d. 20 feet by 20 feet.