Answer:
29 cookies
Step-by-step explanation:
x=9,2x=18,3x+2=3(9)+2=29
Answer:
senior tickets are 12
student tickets are 3
Step-by-step explanation:
s= senior
t = student
10s+5t =135
14s + 3t=177
10s+5t =135
divide by 5
2s+t = 27
multiply by -3
-3(2s+t) = -3*27
-6s -3t =-81
add this to 14s+3t=177
-6s -3t =-81
14s + 3t=177
---------------------
8s = 96
divide by 8
s = 12
senior tickets are 8 dollars
2s+t = 27
2(12) +t = 27
24 +t =27
subtract 24
24+t-24 = 27 -24
t =3
student tickets are 3
1/6*1/6*1/6*1/6 = 1/1296 = 0.078% probability of ANY 4-letter sequence (including qqqq)
1000/1296 is less than 1.
Expected number of times qqqq (or any given 4-letter sequence) will appear in 1000 letters is 0.
The graph is still a straight line, it still cuts the y-axis at the point y=4 ,
and it still slants up from left to right.
But it becomes a lot less steep. The original line only had to go <em>4 inches</em>
to the right in order to rise 1 foot. The new line has to go <em>3-feet</em> to the right
in order to rise 1 foot.
(a) The Rectangles are similar because all angles of all rectangles are equal to 90°. Then, the corresponding sides have the equivalent ratio equal to k.
(b) The perimeter of the rectangle is the sum of the measurements of all sides. Such that for Rectangle 1, it should be.
Perimeter (Rectangle 1) = 2x + 2y
Then for rectangle 2,
Perimeter (Rectangle 2) = 2kx + 2ky = k (2x + 2y)
= k(Perimeter of rectangle 1)
c. Area of rectangle is the product of the lengths of two sides, (x)(y). For Rectangle 2, that would be (kx)(ky) = k²xy