MATHEMATICS HIGH SCHOOL

The diameter of the Sun is approximately 1,400,000 kilometers, while the diameter of Saturn is approximately 1.2 x 105kilometers. How many kilometers larger is the diameter of the Sun than the diameter of Saturn?a) 1.28 times 10 to the sixth power
b) 1.52 times 10 to the sixth power
c) 1.28 times 10 to the seventh power
d) 1.58 times 10 to the seventh power
(Times means multiply since I have no multiplication sign on my computer)

Answers

Answer 1
Answer:

Answer:

R = diameter of Sun / diameter of Saturn    

R =  1.4E6 / 1.2E5 = 11.6 ratio of diameters

or

diameter (Sun - Saturn) = 10^6 ( 1.4 - .12) = 1.28 * 10^6

Apparently looking for answer (a)

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What number times it self 3 times equals 729

Answers

729 ÷ 3 = 243
so if you do 243 × 3 = 729
so your answer will be 243

7 1/5 minus 6 2/5 equals

Answers

-1 and 1/5 use online calculators for problems like this if youre having trouble
7 1/5-6 2/5= 
exact form is 4/5
decimal form is 0.8
hope this helped

If the floor of a square office is 225 square units, what is the perimeter of the office?

Answers

The perimeter of an office whose floor area is 225 square units is 60 units

Further Explanation

Area

  • Area is a measure of how much space is occupied by a given shape.
  • Area of a substance is determined by the type of shape in question.

For example;

  • Area of a rectangle is given by; Length multiplied by width
  • Area of a triangle = 1/2 x base x height
  • Area of a circle = πr². where r is the radius of a circle,
  • Area of a square = S², Where s is the side of the square.etc.

Perimeter

  • Perimeter is defined as the distance along a two dimension shape.  Perimeter of different shapes is given by different formulas

For example;

  • The perimeter of a rectangle = 2(length+width)
  • The perimeter of a triangle = a+b+c; where a, b and c are the sides of the triangle. etc.

In this case;

We are given the area of a square as 225 square units

Therefore; since the area of a square is given as s², where s is the side of the square.

Then; s² = 225

         s = √ 225

             = 15 units

But Perimeter of a square is given by; 4 × s

Thus; Perimeter = 4 × 15 units

                           = 60 units

Keywords; Perimeter, Area

Learn more about;

Level: Middle school

Subject; Mathematics

Topic: Area and Perimeter

Square have 4 equal sides length = a

A = 255 
A = a^2

255 = a^2   |sqrt
15 = a

P = 4a 
P = 4*15 = 60

Graph y is less than or equal to 3

Answers

It would be a horizontal line (dotted line) at the y intercept 3. Make a line 3 units up, and it is dotted. Shade below the dotted line, to show the "less than" part. Hope this helps
It will be a straight solid line, which is horizontal to 3 on the y axis, so no matter what point you chose on the horizontal line y will always equal 3.
If you need to also include shading on your graph the shading will be above the horizontal line

Two buses go from Sacramento to San Diego. The express bus makes the trip in 6.8 hours and the local bus takes 10.2 hours for the trip. The speed of the express bus is 25 mph faster than the speed of the local bus. Find the speed of both buses.

Answers

Answer: Speed of local bus is 50 mph  and speed of express bus is 75 mph

Step-by-step explanation:

let say speed of local bus = x

so speed of express bus = x + 25

Distance = Speed × Time

Distance traveled by local bus  = x × 10.2 = 10.2x

Distance traveled by express bus = (x + 25) × 6.8

since Distance traveled by local bus is same as Distance traveled by express bus

⇒10.2x = (x + 25) × 6.8

⇒ 10.2x = 6.8x + 170

⇒ 10.2x - 6.8x = 170

⇒ x = 170/3.4 = 50

So Speed of local bus = x = 50 mph

and Speed of express bus =  x + 25 = 50 + 25 = 75 mph

How to solve like terms

Answers