Step-by-step explanation:
cubing both sides (p+1)^3= (7)^3
=> p^3+1/p^3+ 3(p+1/p) = 343
=> p^3+ 1/p^3 + 3(7)= 343
=> p^3+1/p^3= 343-21
=> p^3+1/p^3= 322
hope it helps
Add like terms on the same side:
-10 + 8x = -56
Add ten to both sides
-10 + 8x + 10 = -56 +10
Simplify:
8x = -46
Divide both side by 8
8x/8 = -46/8
Simplify
x = - 5.75
The answer is x = -5.75
(The answer can also be written as -23/4 or -5 3/4)
The length and width of the garden are 93 feet and 62 feet respectively.
<u><em>Explanation</em></u>
Suppose, the length of the rectangular garden is 
feet.
As the width is exactly two-thirds of the length, so the width of the garden will be: 
feet.
310 feet of antique picket fencing are to be used to enclose the garden. It means, <u>the perimeter of the garden is 310 feet</u>.
<u>Formula for perimeter of rectangle</u> 
So, the equation will be....
So, the length of the garden is 93 feet and the width is 
feet.
Answer:
6
Step-by-step explanation:
e = number of elephants
9 times as many monkeys as elephants
m = 9e
------------------------
60 animals all together
e + m = 60
e + 9e = 60
Combine like terms
10e = 60
Divide both sides by 10
e = 6
Answer:
∠ 6 = 45°
Step-by-step explanation:
∠ 6 and ∠ 7 are alternate angles and are congruent, thus
4x - 15 = x + 30 ( subtract x from both sides )
3x - 15 = 30 ( add 15 to both sides )
3x = 45 ( divide both sides by 3 )
x = 15
Thus
∠ 6 = 4x - 15 = 4(15) - 15 = 60 - 15 = 45°
