Answer:
She hiked 1,554 kilometers in all.
Step-by-step explanation:
Let the hiking kilometers for morning be x
Given that:
Hiking kilometers in afternoon = 666
According to given condition that afternoon kilometers are 25% less than morning:
x = 666 + 25% of x
By simplifying:
x = 666 + 0.25x
x - 0.25x = 666
0.75x = 666
Dividing both sides by 0.75 we get:
x = 666/0.75
x = 888 kilometers
She hiked 888 kilometers in morning
And
Total = 888 + 666 =1554 km
i hope it will help you!
Yes because you have the follow the order of operations.
Answer: 7/12 portion
Explanation:
Jack can paint:
1 house = 3hr
1/3 portion= 1hr
Jill can paint:
1 house = 4hr
1/4 portion = 1hr
Both of them together can paint in 1 hour:
1/3 + 1/4 = 3/12 + 4/12 = 7/12 portion in 1hr
1. We use the recursive formula to make the table of values:
f(1) = 35
f(2) = f(1) + f(2-1) = f(1) + f(1) = 35 + 35 = 70
f(3) = f(1) + f(3-1) = f(1) + f(2) = 35 + 70 = 105
f(4) = f(1) + f(4-1) = f(1) + f(3) = 35 + 105 = 140
f(5) = f(1) + f(5-1) = f(1) + f(4) = 35 + 140 = 175
2. We observe that the pattern is that for each increase of n by 1, the value of f(n) increases by 35. The explicit equation would be that f(n) = 35n. This fits with the description that Bill saves up $35 each week, thus meaning that he adds $35 to the previous week's value.
3. Therefore, the value of f(40) = 35*40 = 1400. This is easier than having to calculate each value from f(1) up to f(39) individually. The answer of 1400 means that Bill will have saved up $1400 after 40 weeks.
4. For the sequence of 5, 6, 8, 11, 15, 20, 26, 33, 41...
The first-order differences between each pair of terms is: 1, 2, 3, 4, 5, 6, 7, 8...since these differences form a linear equation, this sequence can be expressed as a quadratic equation. Since quadratics are functions (they do not have repeating values of the x-coordinate), therefore, this sequence can also be considered a function.
