Answer: 12
Step-by-step explanation:
6c + 11= 2c + 59
Collect like terms
6c - 2c = 59 - 11
4c = 48
c = 48/4
c = 12
Answer:
1. X is added to 8
2. Subtract 14 by a number
3. Multiply 2 after you add 3 into a number.
4.. Twice a number plus 3
5. Divide 15 by a number
Step-by-step explanation:
The answer is b. All numbers are natural numbers
Let's begin by listing the first few multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 38, 40, 44. So, between 1 and 37 there are 9 such multiples: {4, 8, 12, 16, 20, 24, 28, 32, 36}. Note that 4 divided into 36 is 9.
Let's experiment by modifying the given problem a bit, for the purpose of discovering any pattern that may exist:
<span>How many multiples of 4 are there in {n; 37< n <101}? We could list and then count them: {40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100}; there are 16 such multiples in that particular interval. Try subtracting 40 from 100; we get 60. Dividing 60 by 4, we get 15, which is 1 less than 16. So it seems that if we subtract 40 from 1000 and divide the result by 4, and then add 1, we get the number of multiples of 4 between 37 and 1001:
1000
-40
-------
960
Dividing this by 4, we get 240. Adding 1, we get 241.
Finally, subtract 9 from 241: We get 232.
There are 232 multiples of 4 between 37 and 1001.
Can you think of a more straightforward method of determining this number? </span>
Process:
2/3x -7 = 17
17 + 7 = 24
2/3x = 24
2/3 = 24/x
24 ÷ 2 = 12
12 x 3 = 36
x = 36
Answer: X = 36
