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____ [38]
3 years ago
11

Find smallest number that is divisible by 3,4,5,6,10,15. Please write down the steps involed.

Mathematics
1 answer:
liq [111]3 years ago
8 0
Hey there! :)

List the multiples of each number and see what's common

3 = 3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48,51,54,57,60,63,66,69

4 = 4,8,12,16,20,24,28,32,36,40,44,48,52,56,60,64,68,72

5 = 5,10,15,20,25,30,35,40,45,50,55,60,65,70

6 = 6,12,18,24,30,36,42,48,54,60,66,72

10 = 10,20,30,40,50,60,70

15 = 15,30,45,60,75

Your answer is 60

Hope this helps :)
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Kat owns 15% more figurines than she did last year. She purchased F figurines this year. Which of the following expressions coul
Stella [2.4K]

Answer:  F / 0.15 = 100F / 15 = 20F / 3 ≈ 6.67F.


Explanation:


1) The three expresssions,  F / 0.15;  15 F / 100; 3F / 20; are equivalent.


2) The number of figurines Kat owned last year may be expressed in terms of the number the of figurines purchased, F, this year, and the 15%, following this procedure:


  • Call n the amount of figurines owned last year.
  • F is the number of figurines purchased: F  = 15%n = 0,15n
  • Hence, you just need to clear F from the expression F = 0.15n
  • Divide both sides by 0.15:

        F / 0.15 = n or n = F / 0.15 (reflexive property)

  • To prove the equialavence of the other expresssions you just have to use the properties of multiplication or division:

       (F / 0.15) × (100 / 100) = 100F / 15

        100F / 15 = (100/5)F / (15/5) = 20F / 3 ≈ 6.67F

 



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vladimir2022 [97]

Answer:A

Step-by-step explanation:its A

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Write an equation of the line that passes through (18, 2) and is parallel to the line 3y−x=−12
Stolb23 [73]

Answer:

y= -4x+74

Step-by-step explanation:

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2 years ago
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Use the Euclidean Algorithm to compute the greatest common divisors indicated. (a) gcd(20, 12) (b) gcd(100, 36) (c) gcd(207, 496
coldgirl [10]

Answer:

(a) gcd(20, 12)=4

(b) gcd(100, 36)=4

(c) gcd(496,207 )=1

Step-by-step explanation:

The Euclidean algorithm is an efficient method for computing the greatest common divisor of two integers, without explicitly factoring the two integers.

The Euclidean algorithm solves the problem:

<em>                                   Given integers </em>a, b<em>, find </em>d=gcd(a,b)<em />

Here is an outline of the steps:

  1. Let a=x, b=y.
  2. Given x, y, use the division algorithm to write x=yq+r.
  3. If r=0, stop and output y; this is the gcd of a, b.
  4. If r\neq 0, replace (x,y) by (y,r). Go to step 2.

The division algorithm is an algorithm in which given 2 integers N and D, it computes their quotient Q and remainder R.

Let's say we have to divide N (dividend) by D (divisor). We will take the following steps:

Step 1: Subtract D from N repeatedly.

Step 2: The resulting number is known as the remainder R, and the number of times that D is subtracted is called the quotient Q.

(a) To find gcd(20, 12) we apply the Euclidean algorithm:

20 = 12\cdot 1 + 8\\ 12 = 8\cdot 1 + 4\\ 8 = 4\cdot 2 + 0

The process stops since we reached 0, and we obtain gcd(20, 12)=4.

(b) To find gcd(100, 36) we apply the Euclidean algorithm:

100 = 36\cdot 2 + 28\\ 36 = 28\cdot1 + 8\\ 28 = 8\cdot 3 + 4\\ 8 = 4\cdot 2 + 0

The process stops since we reached 0, and we obtain gcd(100, 36)=4.

(c) To find gcd(496,207 ) we apply the Euclidean algorithm:

496 = 207\cdot 2 + 82\\ 207 = 82\cdot 2 + 43\\ 82 = 43\cdot 1 + 39\\ 43 = 39\cdot 1 + 4\\ 39 = 4\cdot 9 + 3\\ 4 = 3\cdot 1 + 1\\ 3 = 1\cdot 3 + 0

The process stops since we reached 0, and we obtain gcd(496,207 )=1.

3 0
2 years ago
2•log(x – 3) = log 25
AfilCa [17]

Answer:

Step-by-step explanation:

2log(x-3)=log25

log(x-3)²=log25 cancel out log on both sides

(x-3)²=25

x²-6x+9=25

x²-6x+9-25=0

x²-6x-16=0 factorize

x²+2x-8x-16=0

x(x+2)-8(x+2)

(x-8)(x+2)=0

x-8=0 or x+2=0

x=8 or x=-2

x=-2 cannot be considered because of the -ve sign.

x=8.

check

2log(x-3)

2log(8-3)

2log5

log5²=25

therefore LHS=RHS

8 0
2 years ago
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