We will find the numerator step by step for each expression:
For 10/15 = x / 60
x = (10/15) * (60)
x = 40
For x / 108 = 4/9
x = (4/9) * (108)
x = 48
For 7/11 = x / 121
x = (7/11) * (121)
x = 77
For x / 144 = 2/6
x = (2/6) * (144)
x = 48
Answer:
1. 48 stickers 2. 1.2 miles
Step-by-step explanation:
1. 12x4=48 stickers. 2. If we let w denote the length of the morning walk, Sierra walks w+2.5w or 3.5w miles each day. At the end of the week she has walked 7 times as far and she said that this was 30 miles. Solving the equation
24.5w=30,
we have w=30/24.5≈1.2 miles. Therefore the distance of Sierra's morning walk is about 1.2 miles
Solution: Using a diagram
We can illustrate the solution to this problem with a tape diagram. If we let one box be the morning walk, then the evening walk is 2.5 boxes. The total distance Sierra walks in one day is represented by 3.5 boxes. Instead of talking about the number of boxes, we can choose a variable to represent the value or length of each box, say w.
Since Sierra walks every day of the week, the total distance walked is 7 times as long. Therefore, we have the total distance walked during the week is 7(3.5w)=24.5w. We know that Sierra walks a total distance of 30 miles, so we have 24.5w=30 miles. We can use another diagram to illustrate the total distance with 24.5 boxes.
Dividing both sides of the equation 24.5w=30 by 24.5 allows us to find w, and we have
w=30/24.5≈1.2.
Therefore, Sierra's morning walk is about 1.2 miles.
Answer:
a=15.21 ft^2
Step-by-step explanation:
a=pi(r)^2
d=2r
A=1/4pi(d)^2=1/4pi(4.4)^2=15.20531ft^2
Answer:
They can sit next to each other in 24 different ways.
Step-by-step explanation:
In order to solve this problem, use the factorial function (!).
4! = 4 * 3 * 2 * 1 = 24
