Answer:
5
Step-by-step explanation:
The degree is just the number with the highest power. In this case, it is 3^5. Therefore, 5 is the degree.
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Answer:
$7.75
Step-by-step explanation:
Given: Adults = 4, Children = 5, All worth = $15, Total cost = $71, Each child's ticket = $5
To find: How much the adult tickets are
Solution: Use the 5 tickets at $5 to get $25
Add the $15 for concessions to reach $40
25 + 15 = 40
Subtract $40 from the 71 spent to get $31
71 - 40 = 31
Now, divide the 31 by 4 for the number of adults which equals $7.75
31 ÷ 4 = 7.75
So, the cost of the adults' tickets is $7.75
Answer:
The distance added to each dimension is 2 yards.
Step-by-step explanation:
The initial dimensions of the rectangular fence is 8 yards by 4 yards.
The initial area of the rectangular fence = area of a rectangle
area of a rectangle = length x width
So that,
The initial area of the fence = 8 x 4
= 32
The initial area of the fence is 32 square yards.
But, with the new dimensions, area = 60 square yards.
(4 + x) x (8 + x) = 60
+ 12x + 28 = 60
+ 12x - 32 = 0
(x + 14) = 0 or (x - 2) = 0
x = -14 or x =2
Thus, x = 2
The distance added to each dimension is 2 yards.
Answer:
Step-by-step explanation:
<em>Perimeter is the sum of side lengths</em>
<u>Let's find the sides first</u>
- AB = √(-2- 2)² + (-4+1)² = 5
- BC = (2 - (-1)) = 3
- CD = √(-1- 2)²+(5-2)² = √18 = 3√2 = 4.24
- DE = √(-4 -(-1))²+(2-5)²= √18 = 3√2 = 4.24
- AE = √(-4-(-2)²+(2-(-4))²=√40= 2√10 = 6.32
<u>Perimeter is</u>
- P = 5 + 3 + 4.24 + 4.24 + 6.32 = 22.8 ≈ 23 rounded to the nearest whole number
