$4 per pound to cents per ounce

Answers

Answer 1
Answer:

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 2
Answer:

Answer:

400

Step-by-step explanation:


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A helicopter flies 312 miles against the wind in 2 hours; with the wind, it can fly 468 miles in the same amount of time. Find the speed of the helicopter in still air.

Answers

Answer:

78miles/hour

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

What is the distance between (-5,4) and (8,-2)

Answers

The distance between -5 and 8 is 13.

The distance between -2 and 4 is 6.

These two distances, including the hypotenuse which is the distance you want to discover - form a right angled triangle. The adjacent side of this right angled triangle has a length of 13, whilst its opposite side has a length of 6.

If you want to find the distance between (-5, 4) and (8, -2), you simply measure the hypotenuse of this invisible right angled triangle which has been formed. Let's call the length of this hypotenuse "d".

We shall use Pythagoras's theorem to produce our result:

{ d }^( 2 )={ 13 }^( 2 )+{ 6 }^( 2 )\n \n d=\sqrt { { 13 }^( 2 )+{ 6 }^( 2 ) } \n \n \therefore \quad d=\sqrt { 205 }

[*Complete answer derived on a calculator]

This means that the distance between (-5, 4) and (8, -2) is √(205)√(205) is approximately equal to 14.3.

Please can someone answer this for me, ive asked so many questions on here and they never get answered, I need the help rn this is like the last thing I can think of Given f(x) = ax – b, what is f-1(x)?
A) x - b a
B) x + b a
C) 1 ax - b
D) 1 ax + b

Answers

Answer:

D

Step-by-step explanation:

So we have the function:

f(x)=ax-b

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:

x=a{f(x)-b

Change:

x=a {f^(-1)(x)-b

Solve. Add b to both sides. The right side cancels:

x+b=a{f^(-1)(x)

Divide both sides by a:

f^(-1)(x)=(1)/(a)(x+b)

So, our answer is D.

if the length of certain rectangle is decreased by 4 cm and breadth is increased by 2 cm, it would result in a square of the same area. what is the perimeter of the original rectangle?

Answers

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:

The length of a rectangle is 2 inches more than a number. The width is 1 inch less than twice the same number. If the area of the rectangle is 42 in2 find the dimensions of the rectangle

Answers

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

Final answer:

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.

Explanation:

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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Square RSTU dilates by a factor of 1/2 with respect to the origin. If R'S' is 2 units, how many units does RS have?0.5 units

2 units

1 unit

4 units

6 units

Answers

If square RSTU dilates by a factor of 1/2 with respect to the origin, than:
R`S` = 1/2 · RS
2 = 1/2 RS
RS = 2 · 2 = 4
Answer: D ) 4 units.

Answer: 4 units

Step-by-step explanation: