Answer:
89=14-5x
Step by step
Because 14 is how many he keeps and x5 is how many he gives to his cousins in total
Answer: TRUE
Step-by-step explanation: The number 3 is an upper bound because use 3 as a multiplyer of each bcoefficient of the polynomial and at each multiple,subtract the next coefficient from it. if all result after subtraction show positive, then the number used is an upper bound. This method is known as the synthetic division.
3 3 -5 -5 5 2
0 9 12 21 78
3 4 7 26 80
Remark
You sure do have to read that a couple of times.
The quotient is an answer after a division takes place So you are dividing x/3
When you have figured out that phrase you add six onto it.
(x/3) + 6 > 14 Subtract 6 from both sides.
(x/3) +6 - 6 > 14 - 6
(x/3) > 8 Now multiply by 3
x > 8*3
x > 24 <<<<<< Answer
Answer:
18
Step-by-step explanation:
Remark
This is one of those questions that can throw you. The problem is that do you include the original rectangle or not. The way it is written it sounds like you shouldn't
However if you don't the question gives you 2 complex answers. (answers with the sqrt( - 1) in them.
Solution
Let the width = x
Let the length = x + 5
Area of the rectangle: L * w = x * (x + 5)
Area of the smaller squares (there are 2)
Area = 2*s^2
x = s
Area = 2 * x^2
Area of the larger squares = 2 * (x+5)^2
Total Area
x*(x + 5) + 2x^2 + 2(x + 5)^2 = 120 Expand
x^2 + 5x + 2x^2 + 2(x^2 + 10x + 25) = 120 Remove the brackets
x^2 + 5x + 2x^2 + 2x^2 + 20x + 50 = 120 collect the like terms on the left
5x^2 + 25x + 50 = 120 Subtract 120 from both sides.
5x^2 + 25x - 70 = 0 Divide through by 5
x^2 + 5x - 14 = 0 Factor
(x + 7)(x - 2) = 0 x + 7 has no meaning
x - 2 = 0
x = 2
Perimeter
P = 2*w + 2*L
w = 2
L = 2 + 5
L = 7
P = 2*2 + 2 * 7
P = 4 + 14
P = 18
Answer:
V = 314.2 ft^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h r is the radius (5) and h is the height (4)
Using the pi button for pi
V = pi (5^2) (4)
V =314.1592654
Rounding to the nearest tenth
V = 314.2 ft^3
