Answer:
15
Step-by-step explanation:
If Maggies age is, for example, x, we can say that her brothers age is 4x-6. We know from the problem that Maggies age (x) plus her bothers age, (4x-6) is 69. So,
4x-6+x=69
5x-6=69
5x=75
x=15
So, Maggie is 15.
Answer:
Katherine need to work minimum 10 hours lifeguarding to meet her requirements
Step-by-step explanation:
Given:
Rate for Lifeguarding = 
Rate for walking dogs = 
She had worked 2 hours walking dog
Money for walking dogs = Rate for walking dogs
hours worked=
she can work a maximum of 15 total hours and must earn at least $160.
Let hours required for lifeguarding be x
Money for life guarding = Rate for walking dogs
hours worked for lifrguarding= 
Total Money she must earn = Money for lifeguarding + Money for walking dogs

Rounding to nearest hour
Katherine need to work minimum 10 hours lifeguarding to meet her requirements
<span>240 Acres
2/5 = .4
.4 times 600 = 240
</span>
Using an exponential function, it is found that f(5.5) = 19.8.
<h3>What is an exponential function?</h3>
An exponential function is a function in which the growth rate is a percentage, modeled by:

In which:
f(3.5) = 25 means that:


f(8.5) = 14 means that:

Hence:


![b = \sqrt[5]{\frac{14}{25}}](https://tex.z-dn.net/?f=b%20%3D%20%5Csqrt%5B5%5D%7B%5Cfrac%7B14%7D%7B25%7D%7D)


Hence, the function is given by:

Then, when x = 5.5:

More can be learned about exponential functions at brainly.com/question/25537936
The best way to find the answer is to solve for x. To start you would add 38 and 39, getting 77, then subtract that from 180 to get the last angle in the triangle, 103. Finally, you would subtract 103 from 180, getting 77, to get x. The only thing you need to do now is to look at all of the answers and figure out which one makes sense for the answer you got. You know it can't be x<77 because it doesn't have the or equal to sign. You know it can't be x>103 because 77 is lower than 103. You know it can't be x<39 because 77 is greater than 39, so the answer has to be x > 38.