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.
There are about 4.33 yards in 13 feet.
13The original 13
The GCF of 52, 78, and 104 is 26.The prime factorization of 52 is 2*2*13The prime factorization of 78 is 2*3*13The prime factorization of 104 is 2*2*2*13The greatest common factor of all three is 2*13 = 26
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