Answer:
Length = 17 feet, Width = 5 feet
Step-by-step explanation:
Given:
The area of a rectangular wall of a barn is 85 square feet.
Its length is 12 feet longer than the width.
Question asked:
Find the length and width of the wall of the barn.
Solution:
Let width of a rectangular wall of a barn = 
<u>As length is 12 feet longer than the width.</u>
Length of a rectangular wall of a barn = 
As we know:
Subtracting both sides by 85
As width can never be in negative, hence width of a rectangular wall of a barn = = 5 feet
Length of a rectangular wall of a barn = 
Therefore, length and width of the wall of the barn is 17 feet and 5 feet respectively.
A total of 1,716 selections of the 7 flowers are possible.
Step-by-step explanation:
Step 1:
There are 13 flowers from which Jeanine Baker plans to use 7 of them.
To determine the number of selections that are possible we use combinations.
The formula for combinations is; 
.
Step 2:
In the given formula, n is the total number of options and r is the number of options to be selected.
For this question, 
and 
.
So 
So a total of 1,716 selections are possible.
Answer:
5/8
Step-by-step explanation:
A. 2/3 × 4/5 × m = 1/3 B. 4/5 × 2/3 × m = 1/3
8/15 × m = 1/3 8/ 15 × m = 1/3
m = 1/3 ÷ 8/15 m = 1/3 ÷ 8/15
m = 1/3 ×15/8 m = 1/3 × 15/8
m = 5/8 m = 5/8
C. 2/3 × 4/5 = 1/3 ÷ m
8/15 = 1/3 × 1/m
8/15 = 1/3m cross multiply
(3m) × (8) = 15
24m = 15
m = 15/24
m= 5/8
Answer:
k=88
Step-by-step explanation:
as 8*11=88
The values are x = 8 and x = -1.
To find the undefined values, we need to know when the denominator is zero.
To do this, we need to factor it and find the value that would make either factor equal to zero.
If factors to: (x - 8)(x + 1)
Therefore, the undefined values would be at 8 and -1.
