You are correct!
Step 1:Write what you know
Madeline's Height: 6 ftMadeline's Shadow: 108 in
Friend's Height: X (we use X as a variable because his height is unknown)Friend's Shadow: 108 in - 1.5 ft 108 in - 18 in 90 in
Step 2:Set up proportions
6 x----- = -----108 90
Step 3:Cross Multiply & Solve
108x = 540x = 5 ft tall
For every integer k from 1 to 10, inclusive the kth term of a certain sequence is given by [(−1)^(k+1)]∗[1/2^(k)].
If T is the sum of the first 10 terms in the sequence, then T is:
B.
A. Greater than 2
B. Between 1 and 2
C. Between 1/2 and 1
D. Between 1/4 and 1/2
E. Less than 1/4
4(y-3)=3(y+6)
1) Distribute
4y-12=3y+18
2) Addition property of equality
4y=3y+30
3)Subtraction property of equality
y=30
Thats your answer!
Enjoy middle school while you still can!
V= 3 * 6 / 17 = 18 / 17 = 1.058823529 =~ 1.1