Let the smaller number be x and the larger one be y
x + y = 77
y = x + 5
Substituting into the first equation
x + (x + 5) = 77
2x + 5 = 77
Subtracting 5 to both sides
2x +5 -5 = 77-5
2x = 72
Divide both sides by 2
2x/2 = 72/2
x = 36
We need to find the Lowest Common Denominator = LCD lowest is 100
10 x 10, 20, 30, 40, 50, 60, 70, 80, 90, 100
100 x 100, 200, 300, 400, 500, 600, 700, 800, 900, 1000. which is the lowest and common? 100
7/10 /100 how many times can 10 go into 100? 10 times. so we will multiply 10 time the numerator which is 7, and now will be 70/100
6/100 /100 how many times can 100 go into 100? 1 time. so we will multiply 1 time the numerator 6 which equals 6. 6/100
now add the new fractions. 70/100 + 6/100 = 76/100
Answer:
4.2
Step-by-step explanation:
Okay, so you need at least $100 in your account to avoid the fee.
You currently have $247.
And you also take out $20, every week.
So first, work out the maximum amount of money you can take out before reaching the limit. (247 - 100 = 147).
Now that we know you can take out $147 max, you just need to divide it by $20, because that's how much you take out every week. (147 ÷ 20 = 7.35 weeks.) But of course, the question is asking for the answer in weeks, so you round the answer down to 7 weeks.
You can last 7 weeks by taking out $20 every week from your $247 balance to avoid the low balance fee.
Answer: x = 1/16
Step-by-step explanation:
Since the inverse of a Logarithm is an exponential function, we know that the final solution has to involve an exponential function somewhere in it.
1. log B(2) {x} = -4 || given
2. x = 2 ^ -4 || Logarithm rule that allows you to move the base of the logarithm to the base of the exponent on the other side. For example, if you had log B(5) {x} = 3, the base of 5 would move over to the other side and it would be raised to 3; x = 5^3.
3. x = (1) / (2^4) || Simplify. Use the negative exponent rule. This rule always leaves a numerator of 1, and a denominator of your exponent. In this case, it will be 2 ^ -4, so you will do 2^4 which is 16 and you will put that over 1. Resulting in your final answer of x = 1/16
