Total the number of tenth graders: 12 + 14 + 8 = 34 total.
Now divide the number of tenth graders who speak Spanish by the total number of tenth graders:
12 / 34 = 0.3529
Multiply the decimal answer by 100 to get the percent:
03529 x 100 = 35.29%
Round to the nearest tenth = 35.3%
The answer is the first choice.
Campers = y and counselors = x.....1 counselor to 5 campers
y = kx
k = y/x
k = 5/1
y = 5x
lets check..
y = 5x....lets say u have 2 counselors...sub in 2 for x
y = 5(2)
y = 10....so when there is 2 counselors, there are 10 campers
y = 5x...lets say u have 3 counselors...sub in 3 for x
y = 5(3)
y = 15...so when there are 3 counselors, there are 15 campers
2/10 reduces to 1/5
3/15 reduces to 1/5
so yes, this is a direct variation with ur equation being y = 5x
This is simple algebra :)
First, we can write the question as an algebraic equation.
Given that Doug spent 40 more hours than Laura, we can represent Laura as (x) and Doug as (x+40).
"Doug and Laura spent a combined 250 hours." So we can write this as
(x) + (x+40) = 250
Now simplify:
2x + 40 = 250
Solve x by subtracting 40 from both sides of the equation:
2x = 210
Therefore:
x = 210/2
= 105
So Laura (x) spent 105 hours!
Step-by-step explanation:
The simplest method is "brute force". Calculate each term and add them up.
∑ = 3(1) + 3(2) + 3(3) + 3(4) + 3(5)
∑ = 3 + 6 + 9 + 12 + 15
∑ = 45
∑ = (2×1)² + (2×2)² + (2×3)² + (2×4)²
∑ = 4 + 16 + 36 + 64
∑ = 120
∑ = (2×3−10) + (2×4−10) + (2×5−10) + (2×6−10)
∑ = -4 + -2 + 0 + 2
∑ = -4
4. 1 + 1/4 + 1/16 + 1/64 + 1/256
This is a geometric sequence where the first term is 1 and the common ratio is 1/4. The nth term is:
a = 1 (1/4)ⁿ⁻¹
So the series is:
5. -5 + -1 + 3 + 7 + 11
This is an arithmetic sequence where the first term is -5 and the common difference is 4. The nth term is:
a = -5 + 4(n−1)
a = -5 + 4n − 4
a = 4n − 9
So the series is:
