Step-by-step explanation:
4$ is equal to 400 cents, so it would be 400 cents a pound, for every 1 dollar it is the same as 100 cents
Answer:
400
Step-by-step explanation:
Answer:
Step-by-step explanation:
If a helicopter flies 312 miles against the wind in 2 hours, the speed of the helicopter in air is expressed as shown;
Speed = Distance/Time
Speed = 312miles/2hours
Speed = 156miles/hr
The speed of the helicopter against the wind is 156miles/hr
If it can fly 468 miles in the same amount of time, the speed during this time at this distance will be;
speed = 468 miles/2hours
Speed = 234miles/hr
The speed of the helicopter in still air = Speed while flying - Speed while against the wind
The speed of the helicopter in still air = 234miles/hr - 156miles/hr
The speed of the helicopter in still air = 78miles/hour
A) x - b a
B) x + b a
C) 1 ax - b
D) 1 ax + b
Answer:
D
Step-by-step explanation:
So we have the function:
And we want to find its inverse.
To find the inverse of a function, we need to: 1) change f(x) and x, 2) change f(x) to f⁻¹(x), and 3) solve for f⁻¹(x) for the inverse.
So, flip f(x) and x:
Change:
Solve. Add b to both sides. The right side cancels:
Divide both sides by a:
So, our answer is D.
Answer:
To find the perimeter of the original rectangle, we first need to find the dimensions of the rectangle.
Let's assume the length of the original rectangle is L cm and the breadth is B cm.
According to the given information, if the length is decreased by 4 cm, the new length becomes (L - 4) cm. Similarly, if the breadth is increased by 2 cm, the new breadth becomes (B + 2) cm.
We are told that this new rectangle with dimensions (L - 4) cm and (B + 2) cm is actually a square with the same area as the original rectangle.
The area of a rectangle is given by length multiplied by breadth. So, the area of the original rectangle is L * B square cm.
The area of the new square is equal to the area of the original rectangle. Therefore, we can set up the equation:
(L - 4) * (B + 2) = L * B
Expanding the equation:
LB - 4B + 2L - 8 = LB
Simplifying the equation:
2L - 4B - 8 = 0
2L = 4B + 8
L = 2B + 4
Now that we have an equation relating the length and breadth of the original rectangle, we can find the perimeter.
The perimeter of a rectangle is given by the formula: 2 * (length + breadth).
Substituting the value of L from the equation above, we get:
Perimeter = 2 * [(2B + 4) + B]
Perimeter = 2 * (3B + 4)
Perimeter = 6B + 8
Therefore, the perimeter of the original rectangle is 6B + 8 cm.
Step-by-step explanation:
Answer:
length: 6 inches
width: 7 inches
Step-by-step explanation:
Let n represent the number. Then the length is (n+2) and the width is (2n-1). The product of these dimensions is the area:
42 = (n+2)(2n -1) = 2n^2 +3n -2
2n^2 +3n -44 = 0 . . . . subtract 42
(n -4)(2n +11) = 0 . . . . . factor
n = 4 . . . . . . . . we aren't interested in the negative solution
Length = 4+2 = 6 . . . inches
Width = 2·4 -1 = 7 . . . inches
The dimensions of the rectangle given that its area is 42 square inches, the length is 2 inches more than a number, and the width is 1 inch less than twice the same number, are 6 inches by 7 inches.
To solve this problem, let's define the unknown number as
x. According to the problem, the length of the rectangle is 2 inches more than x (so it's x + 2), and the width is 1 inch less than twice the number x (which makes it 2x - 1).
Now, we'll use the formula for the area of a rectangle, which is length times width: (x + 2) * (2x - 1) = 42.
Solve this equation by expanding the parentheses (2x^2 + 4x - x - 2 = 42), simplifying (2x^2 + 3x - 2 - 42 = 0), and rearranging (2x^2 + 3x - 44 = 0).
Using the quadratic formula, we find that the possible values of x are 4 and -5.5. However, a negative size doesn't make sense in this context, so x = 4 inches. That makes the length = 4 + 2 = 6 inches, and the width = 2*4 - 1 = 7 inches. Therefore, "the dimensions of the rectangle are 6 inches by 7 inches".
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2 units
1 unit
4 units
6 units
Answer: 4 units
Step-by-step explanation: