We can let r be the number of food tickets and f be the number of food tickets.
Since Alana can spend at most $40, that means the total of price bought for r and f must be less than or equal to $40. In addition, since Alana buys at least 16 tickets, this also means that the total of r and f is 16. Mathematically, we have these inequalities:
(1) 4r + 2f ≤ 40 and
(2) r + f ≥ 16
Multiplying -2 in (2), we have
4r + 2f ≤ 40
-2r - 2f ≤ 32
Adding both inequalities,
2r ≤ 8
r ≤ 4
Since r must be less than or equal to 4.Thus the answer is <span>A.</span>
R = 6t.....subbing in (8,48).....t = 8 and r = 48
48 = 6(8)
48 = 48 (correct)
r = 6t...subbing in (13,78)...t = 13 and r = 78
78 = 6(13)
78 = 78 (correct)
so u have 2 sets of points on this line and they are (8,48) and (13,78)
Answer:
The correct option is 3.
Step-by-step explanation:
Triangle JKL is transformed to create triangle J'K'L'. The angles in both triangles are shown.
J = 90°, J' = 90°
K = 65°, K' = 65°
L = 25°, L' = 25°
In a rigid transformation the image and pre-image are congruent. Reflection, translation and rotation are rigid transformation.
In a non rigid transformation the image and pre-image are similar. Dilation is a non rigid transformation.
In a rigid or a nonrigid transformation, the corresponding angles are same. If the corresponding sides are same, then it is a rigid transformation and if the corresponding sides are proportional, then it is a non rigid transformation.
It can be a rigid or a nonrigid transformation depending on whether the corresponding side lengths have the same measures.
Therefore option 3 is correct.
If two cylinders are similar, then all their linear measurements have equal ratios. Hence:
.
Since the radius of cylinder A is 5.6 inches, the radius of cylinder B is 1.4 inches and the height of cylinder B is 4 inches, you can find the height of cylinder A:
.
Use the cross multiplication:
in.
Answer: the height of cylinder A 16 inches.
Answer:
8 points: unlikely
16 points: impossible
more than 0 points: likely
Step-by-step explanation: