MATHEMATICS MIDDLE SCHOOL

How long does it take each horse to run a mile

Answers

Answer 1
Answer:

It will take the first horse 2.5 hours to run a mil

It will take the second horse 4 hours to run a mil

Find the required graph attached.

The formula for calculating speed is expressed as:

  • Speed  = Distance/Time

  • Time = Distance * Speed

Get the speed of each horse

Speed for the first horse = 5/2 = 2.5 miles/hr

Time = 2.5 * 1

Time = 2.5 hours

Hence it will take the first horse 2.5 hours to run a mile

Speed for the second horse = 4/1 = 4 miles/hr

Time = 4 * 1

Time = 4 hours

Hence it will take the second horse 4 hours to run a mile

Learn more on speed here: brainly.com/question/5403949
Answer 2
Answer: 2 mins this is for horses in sports

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Only odd and I need explainations to

Which expressions are equal to a real number?

Answers

Answer:

Option B

Option C

Step-by-step explanation:

$ i = √(-1) $

⇒ $ i^2 = (√(-1))^2 = -1 $, which is a real number.

Similarly, $ i^3 = i^2.i = -1 * i = -i $

And we also know that $ i^4 = 1 $

So, we see that odd powers of $ i $ is a complex number and even powers renders us a real number.

Using this we solve the problem.

Option A:$ (-4i)^(11) $ 11 is an odd power. This would be a complex number and not a real number.

Option B:$ (-3i)^(12) $ Even power of i. So, this should give us a real number.

Option C:$ (2 + 3i)^2 $

                            (a + bi)² = a² - b² + 2abi

So, (2 + 3i)² would be a complex number because of the 2bi term.

Option D: (4 + 5i)(4 - 5i)

                         (a + ib)(a - ib) = a² + b²

So, (4 + 5i)(4 - 5i) = 4² + 5² = 41, a real number.

Option E: (6 + 8i)(8 + 6i)

                     (a + ib)(c + id) = ac - bd + (ad + bc)i

This would be a complex number because of the (ad + bc) term.

So, Options B and D are real numbers.

Evaluate 2y+x to the second power÷4 when x=6 and y=4

Answers

8y+216x................

The sum of two numbers is 92. their difference is 20. find the 2 numbers

Answers

The two numbers in question obtained by creating a system of equations are 56 and 36

Let the two numbers be : a and b

  • a + b = 92 ___(1)
  • a - b = 20.___(2)

From (2):

  • a = 20 + b. ____(3)

Substitute (3) into (1)

a + b = 92

20 + b + b = 92

20 + 2b = 92

2b = 92 - 20

2b = 72

b = 72/2

b = 36

From (3) :

a = 20 + 36

a = 56

Therefore, the two numbers are 56 and 36

Learn more : brainly.com/question/18109354
x+y =92
x -y =20
------------ (subtract the y)
2x= 112
/2     /2
x=56
56+y=92 (substitute x with 56)
-56     -56
y=36

x = 56    and     y = 36

What is 2/3 divided by 1/2

Answers

If you would like to divide 2/3 by 1/2, you can do this using the following step:

2/3 / 1/2 = 2/3 * 2/1 = 4/3 = 1 1/3

The correct result would be 1 1/3.
2/3 divided by 1/2 is 1 1/3.

Factor completely: 81x^4 – 1A. (9x + 1)(9x – 1)
B. (9x^2 + 1)(9x^2 – 1)
C. (3x^2 + 1)^3(3x – 1)
D. (9x^2 + 1)(3x + 1)(3x – 1)

Answers


Using this: a²-b²=(a+b)(a-b)

81x^4-1=

(9x²)²-1=

(9x²-1)(9x²+1)=      (in the bold half we use the formula again)

(3x+1)(3x-1)(9x²+1)

So the answer is D
81x^4-1=\n(9x^2)^2-1^2=\n(9x^2+1)(9x^2-1)=\n(9x^2+1)((3x)^2-1^2)=\n(9x^2+1)(3x+1)(3x-1)

What are 2 items that weigh less than 1 ounce?what are 2 items that weigh more than a ton?

Answers

A feather and a piece of mechanical pencil lead weigh less than 1 ounce. 
A blue whale and an elephant weighs more than 1 ton
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