1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
patriot [66]
3 years ago
6

An airplane cruises 1 kilometer in 1/12 of a minute. what is its cruising speed?

Mathematics
1 answer:
rewona [7]3 years ago
5 0

Answer:

An airplane cruises 1 kilometer in 1/12 of a minute. What is its cruising speed?<u>200</u>

You might be interested in
Can anyone please help me graph this and tell me if the equation is correct thank you
photoshop1234 [79]

Answer:

yes it is

Step-by-step explanation:

5 0
3 years ago
Determine all prime numbers a, b and c for which the expression a ^ 2 + b ^ 2 + c ^ 2 - 1 is a perfect square .
kogti [31]

Answer:

The family of all prime numbers such that a^{2} + b^{2} + c^{2} -1 is a perfect square is represented by the following solution:

a is an arbitrary prime number. (1)

b = \sqrt{1 + 2\cdot a \cdot c} (2)

c is another arbitrary prime number. (3)

Step-by-step explanation:

From Algebra we know that a second order polynomial is a perfect square if and only if (x+y)^{2} = x^{2} + 2\cdot x\cdot y  + y^{2}. From statement, we must fulfill the following identity:

a^{2} + b^{2} + c^{2} - 1 = x^{2} + 2\cdot x\cdot y + y^{2}

By Associative and Commutative properties, we can reorganize the expression as follows:

a^{2} + (b^{2}-1) + c^{2} = x^{2} + 2\cdot x \cdot y + y^{2} (1)

Then, we have the following system of equations:

x = a (2)

(b^{2}-1) = 2\cdot x\cdot y (3)

y = c (4)

By (2) and (4) in (3), we have the following expression:

(b^{2} - 1) = 2\cdot a \cdot c

b^{2} = 1 + 2\cdot a \cdot c

b = \sqrt{1 + 2\cdot a\cdot c}

From Number Theory, we remember that a number is prime if and only if is divisible both by 1 and by itself. Then, a, b, c > 1. If a, b and c are prime numbers, then  2\cdot a\cdot c must be an even composite number, which means that a and c can be either both odd numbers or a even number and a odd number. In the family of prime numbers, the only even number is 2.

In addition, b must be a natural number, which means that:

1 + 2\cdot a\cdot c \ge 4

2\cdot a \cdot c \ge 3

a\cdot c \ge \frac{3}{2}

But the lowest possible product made by two prime numbers is 2^{2} = 4. Hence, a\cdot c \ge 4.

The family of all prime numbers such that a^{2} + b^{2} + c^{2} -1 is a perfect square is represented by the following solution:

a is an arbitrary prime number. (1)

b = \sqrt{1 + 2\cdot a \cdot c} (2)

c is another arbitrary prime number. (3)

Example: a = 2, c = 2

b = \sqrt{1 + 2\cdot (2)\cdot (2)}

b = 3

4 0
3 years ago
Help guysss im in 6th really need help
NNADVOKAT [17]
5 times as many. Since dog B has 2 and dog A has 10, A = 2 * X, since you’re solving for the multiplication comparison. 10/2 = 5, so you’ve got 5 times as many.
3 0
2 years ago
If one liter of paint covers 100 square feet, how many gallons of paint will cover 800 square meters?
mr_godi [17]
It takes 8 liters to cover 800 sqft of floor

there are 3.78541 liters in a gallon so it would take 2.11338 gallons to cover the floor 
6 0
3 years ago
At a local fitness​ center, members pay a ​$10 membership fee and ​$5 for each aerobics class. Nonmembers pay ​$6 for each aerob
sveta [45]
One way to solve it is writing two equations based on the info so

y = 5x + 10 for members
y = 6x for nonmembers

(the + 10 isn't included in the second equation because nonmembers won't pay a membership fee)

and to find their intersection point (where the values will be the same), you just set them equal to each other:

5x + 10 = 6x

subtract 5x

x = 10 classes
7 0
3 years ago
Other questions:
  • A spherical fish bowl is half-filled with water. The center of the bowl is C, and the length of segment AB is 16 inches, as show
    8·2 answers
  • What is the measure of angle A?
    15·2 answers
  • Past records show that at a given college 20% of the students who began as psychology majors either changed their major or dropp
    7·1 answer
  • How much money all together would it be if 12 children were paying $10 each fo a soccor game
    5·2 answers
  • I know the answer is C. but I need to know how to solve it!
    7·1 answer
  • Which of the following is an example of inverse operations?
    12·1 answer
  • I was earning $47,000 per year until she received a 7% raise at the start of 2019. What will her new salary be? Write a proporti
    8·1 answer
  • What is the difference? Complete the equation. -4 - 2 1/2
    9·1 answer
  • SOMEONE PLEASE HELP ASAP!!!?? ILL GIVE U BRAINLIST
    9·2 answers
  • Question number 1 You are comparing the costs of producing jewelry at two different manufacturers. Company 1 charges $3.25 per p
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!