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
Troyanec [42]
3 years ago
7

How many of the first 1000 positive integers are multiples of both 4 and 5 but not 6 ?

Mathematics
1 answer:
castortr0y [4]3 years ago
5 0
Let's begin by breaking  each number down into its prime factors:    4 = 2 x 2    5 = 5    6 = 2 x 3 Next, let's determine the Lowest Common Multiple (LCM) of the numbers 4, 5, and 6 by multiplying all common and unique prime factors of each number:    common prime factors: 2    unique prime factors:  2,5,3    LCM = 2 x 2 x 5 x 3 = 60 Next, let's determine how many times 60 goes into 10,000 (excluding remainder):    10,000/60 = 166 and 2/3    Multiples of ALL 3 numbers (4,5,6) = 166  Next, let's determine the Lowest Common Multiple (LCM) of the numbers 4 and 5 by multiplying all common and unique prime factors of each number:    common prime factors:  none
    unique prime factors:  2 x 2 x 5
    LCM = 2 x 2 x 5 = 20 Next, let's determine how many times 20 goes into 10,000:
    10,000/20 = 500
    Multiples of BOTH numbers (4 and 5) = 500 Finally, let's subtract the multiples of ALL three numbers (4,5,6) from the multiples of BOTH numbers (4 and 5) to get our answer:   Multiples of ONLY numbers 4 and 5 (excluding 6):       500 - 166 = <span>334</span>
You might be interested in
9x + 26 + 7x - 17 = 2x + (-3x) + 5x
slega [8]
9x + 26 + 7x - 17 = 2x + (-3x) + 5x =
16x + 9 = 2x - 3x + 5x =
16x + 9 = 4x
9 = 4x - 16x
9 = - 12x
-9/12 = x
- 3/4 = x
4 0
3 years ago
For the function f (x) = 8 - x2 evaluate f (-2)<br> 4<br> 12<br> -32<br> 0
professor190 [17]
The answer is 12

Explanation: as you replace -2 it will give 4 so when u add 4 to 8 it equals to 12
3 0
3 years ago
A is what percent of B? c A = 10 km, B = 1 km
mamaluj [8]

Answer:

1000%

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Given cos(angle) = -5/13 where the terminal arm of angle lies in quadrant 2, evaluate each trigonometric expression
Mrrafil [7]

Answer the answer is 76.6

Step-by-step explanation:

3 0
3 years ago
The options for the first blank are 45, 240, 270, and 315
Schach [20]

Answer:

The solutions are <u>270°</u> and <u>450°</u>.

Step-by-step explanation:

Given:

cos\frac{x}{2} =\frac{\sqrt{2} }{2}.

So, the second and third quadrant angle to be calculated.

cos\frac{x}{2}=135

=x=270°.

And, cos\frac{x}{2}=225

=x=450°

Therefore, the solutions are <u>270°</u> and <u>450°</u>.

5 0
3 years ago
Other questions:
  • What is the volume of 5cm on each side?
    10·2 answers
  • Jenny thinks that the expression below is equal to x²-4. If you agree, show that she is correct. If you disagree, show that she
    10·1 answer
  • What is the length of pr ? PLEASE HELP
    15·2 answers
  • What is one intothirds -4/5
    9·1 answer
  • An Epson inkjet printer ad advertises that the black ink cartridge will provide enough ink for an average of 245 pages. Assume t
    8·1 answer
  • Would you sing its you by ali gatie or im blue
    13·2 answers
  • A coach throws a football from a height of 4 feet with an initial velocity of 59 feet per second at an elevation angle of 45 deg
    10·2 answers
  • Starfish have about 15,000 tiny feet that help them move around the ocean floor. The table shows the distance traveled by a star
    12·2 answers
  • Simplify a^2-7a+12 / a^2-2a-8
    13·1 answer
  • Solution
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!