2a + 3b = 13
a + b =7, 2a + 2b = 14
(2a + 3b) - (2a+2b) = b
13 - 14 = -1, so b = -1
a+(-1) = 7, a = 8
Check:
2(8) + 3(-1) = 16-3 =13
(8) + (-1) = 7
6
Let the first number be x and the second number be y:2nd number:3x-5 = y1st number:10x = 5(3x-5)-510x = 15x-25-510x-15x = -25-5-5x = -30x = 6 and by substituting 6 into 3x-5 = y = 13The two numbers Heather was thinking about were 6 and 13
Find the LCM by finding prime factorization of both numbers:100 = 2 * 2 * 5 * 5130 = 2 * 5 * 13Then, count each pair of prime numbers. The two factorizations have two pairs of prime numbers: one pair of 2's and one pair of 5's (pairs are bolded, above):Paired primes: 2, 5Next, count the remaining primes and multiply them with the paired primes.Paired primes: 2, 5Unpaired primes: 2, 5, 13The LCM of 100 and 130 is2 * 2 * 5 * 5 * 13 = 1300
Prime factors of 65 are 5 x 13Prime factors of 104 are 23 x 13The LCM of 65 is the product of the largest power of each of their factors, 520 (23 x 5 x 13).
The factors of 78 are:1, 2, 3, 6, 13, 26, 39, 78The factors of 104 are:1, 2, 4, 8, 13, 26, 52, 104The factors of 117 are:1, 3, 9, 13, 39, 117The common factors are:1, 13The Greatest Common Factor:GCF = 13
The 4 factors of 143 are 1,11,13,143The prime factors of 143 are 11 and 13The prime factorization of 143 is 11x13Thanks buddy.Factors are numbers you can multiply together to get another number.143: 1, 11, 13, 143
6
Let x be the smallest number.So,x + (x + 5) = 3x - 32 x + 5 = 3x - 32x - 2x 5 + 3 = 3x - 2x -3 + 38 = xx + 5 = 8 + 5 = 13the smallest number is 8, and the other number is 13.
The prime factors of 585 are: 3, 5 and 13The prime numbers (factors) of 585 are: 3,5,13
A rational number is any real number which can be expressed as a fraction m/n, where m and n are integers, with n non-zero.Each of these is a rational number, since they can be expressed as:-112/10, 100/3, -417/100, 261/10, -8/13The term whole number is used differently by different authors. It may mean:* Natural number, a.k.a. counting numbers, including 0* Natural number, not including 0 (although this usage seems to be rare)* Integer, positive and negative numbersThese numbers are not whole, integers, or natural numbers.
Let the first number be x and the second number be y:2nd number:3x-5 = y1st number:10x = 5(3x-5)-510x = 15x-25-510x-15x = -25-5-5x = -30x = 6 and by substituting 6 into 3x-5 = y = 13The two numbers Heather was thinking about were 6 and 13
To find the mean, you first add up all the numbers.20+10+13+20+9+6=78Then, you divide by how many numbers there are.78/6=13The answer is 13.
Oh, dude, the greatest common factor of 52, 78, and 104 is 26. It's like the cool kid at the party that everyone wants to hang out with. So yeah, 26 is the number that all three of those other numbers can divide evenly into without any drama.
There are about 4.33 yards in 13 feet.
13The original 13
13The GCF is 13.
The factors of 13 are:1, 13The factors of 65 are:1, 5, 13, 65The factors of 117 are:1, 3, 9, 13, 39, 117The common factors are:1, 13The Greatest Common Factor (GCF) is:13