a long distance telephone company charges a rate of 8 cents per minute or 90 cent mininum charge per call, whichever is greater. Find the cost in cents per minute for a 41 minute call.

Answers

Answer 1
Answer: The cost of a 41 min call would be 328 cents. So, that would be 8 cents per minute, because the charge of the call is greater that 90 cents. Hope that helps!!

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Tom took a trip of 1,020 miles . He traveled by train at 55 miles an hour and the same number of hours by plane at 285 mph . How many hours did the trip take?

Answers

The number of hours Tom took a trip of 1,020 miles is 3 hours.

Given that, Tom took a trip of 1,020 miles.

What is the speed?

The speedformula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance traveled by a body in a given period of time. The SI unit of speed is m/s.

Tom traveled by train at 55 miles an hour and the same number of hours by plane at 285 mph.

Let the number of miles travelled by train be x. Then, the number of miles travelled by plane be 1020-x.

Time = x/55 = (1020-x)/285

⇒ 285x = 55 (1020-x)

⇒ 285x = 56100 - 55x

⇒ 285x + 55x = 56100

⇒ 340x= 56100

⇒ x = 56100/340

⇒ x = 165 miles

So, time = 165/55 = 3 hours

Therefore, the number of hours Tom took a trip of 1,020 miles is 3 hours.

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Answer:

He traveled 3 hours by train and 3 hours by plane, so the trip take 6hours.

The number of points that lie on a period at the end of a sentence are _____. visible non-existent measureable infinite

Answers

The correct answer is:

Infinite

Explanation:

A geometric point has no dimension.  It has no set radius or diameter.  As such, there are infinite points that can exist in any drawn item, including the period at the end of a sentence.

infinte is the correct answer

The length of a rectangle is represented by (6x − 2), and the width is represented by (x − 1). Which expression best represents the area of the rectangle?

Answers

The are of a rectangle can be obtained by using the formula 

A=L*W

Since we are already given with the L, which is (6x-2), and the width, which is (x-1), the area of the rectangle is then

A = (6x-2)(x-1)

which, upon further simplification will give us

A = 6x^2-2x-6x+2

Combining like terms will yield

A = 6x^2-8x+2

Hence, the area of the specified rectangle is represented by the expression 6x^2 -8x +2.

The expression for the area of the rectangle is 6x²-8x+2.

What is area?

This is the region or space bounded by a plane shape.

To calculate the expression for the area of the triangle, we use the formula below

Formula:

  • A = lw............... Equation 1

Where:

  • A = Area of the rectangle
  • l = Length of the rectangle
  • w = Width of the rectangle.

From the question,

Given:

  • l = (6x-2)
  • w = (x-1)

Substitute these values into equation 1

  • A = (6x-2)(x-1)
  • A = 6x²-6x-2x+2
  • A = 6x²-8x+2

Hence, the expression for the area of the rectangle is 6x²-8x+2.

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How to rewrite -7x + 5y = -3 in standard form

Answers

Answer:

7x - 5y = 3

Step-by-step explanation:

The Standard Form formula is Ax + By = C, however, technically A should not be negative, and since the original is already written in an usually accepted version of Standard Form, I would assume you would just want to multiply the entire equation by -1 making the A a positive number.

For wich values of x does 2x^2+10x

Answers

2x^2 + 10x doesn't do anything, unless it's equal to something.

All you've got so far is a number.  We can't even tell what it is
until we know what number 'x' is.

Is there another little part of the question that you didn't copy ?
Factor out at 2 so 2(x+5)(x+0)
Set them equal to 0 so
2=0 that's not a solution
X+5=0 so x=-5 that works
And the last one x=-0 well negative 0 doesn't exist so the only value that works is -5

An observation tower is 75m high. A support wire is attached to the tower 20m the top. If the support wire and the ground form an angle of 46 degrees, what is the length of the support wire, to the nearest tenth?

Answers

Answer:

76.46m

Step-by-step explanation:

Using what we know we can solve for the length of the support wire using Pythagoras.

Height of tower = 75m

Support wire 20 m from top

Angle formed (α) = 46°

Using Pythagoras :

Sinα = opposite / hypotenus

Height used = height of tower - 20 m from top

Height = opposite = (75 - 20)m = 55m

Hypotenus = Length of support wire

Sin 46 = 55m / hypotenus

Hypotenus * sin 46 = 55

0.71934 * hypotenus = 55

Hypotenus = 55/0.71934

Hypotenus = 76.458976

Hence, Lenght of support wire = 76.46 m