Answer:
3 bags per weekday
Step-by-step explanation:
Total bags of leaves at the end of the week = 26 bags
Bags of leaves she fills over the weekend = 11 bags
Bags of leaves she fills during weekdays = x bags
Total bags of leaves at the end of the week = Bags of leaves she fills over the weekend + Bags of leaves she fills during weekdays
26 = 11 + x
Subtract 11 from both sides
26 - 11 = 11 - 11 + x
15 = x
x = 15 bags
If she fills the same number of bags with leaves on each of the 5 weekdays.
how many bags she filled each weekday.
Bags she filled each weekday = Total Bags of leaves she fills during weekdays / 5 weekdays
= 15 bags / 5 weekdays
= 3 bags per weekday
Q1: 479 001 600 ways
Explanation:
You have 12 people, 12 seats, ¹²P₁₂ ways in arranging them, or essentially 12! ways
Q2: 1 036 800 ways
Explanation:
Let's break it up into two cases.
Case 1: BGBGBGBGBGBG
Case 2:GBGBGBGBGBGB
Let's deal with case 1, because case 2 will pop out. There are ⁶P₆ ways in sorting out the boys and ⁶P₆ ways in sorting out the girls, so for case 1, we'd have (⁶P₆)² ways in sorting out boys and girls in case 1.
This is exactly the same in case 2, so it'd be (⁶P₆)² ways in sorting out girls and boys in case 2.
So, (⁶P₆)² + (⁶P₆)² ways = 1 036 800 ways if they alternate
Opposite angles formed by two intersecting lines are equal, so angle 1 is the same as angle 4. That means angle 1 = angle 5 as well.
<span>When a line intersects two parallel lines, the corresponding angles are equal. That is, if r and s are parallel, then the angles formed when l intersects r are the same s the angles formed when l intersects s. Angle 1 = Angle 5, Angle 2 = Angle 6, and so forth. Since we know angle 1 = angle 5, so from that you can see that r and s are parallel</span>
Answer: 60 kilometers
If the average speed for the trip of 80 kilometers per hour, and the time of the trip was 45 minutes, then the distance between the two jungles is 60 kilometers.
45 minutes is three-quarters of an hour, or 0.75. I multiplied this decimal by 80 to get 60, the distance between Jungle A and Jungle B.