A + s = 480......s = 480 - a
8a + 5s = 2892
8a + 5(480 - a) = 2892
8a + 2400 - 5a = 2892
8a - 5a = 2892 - 2400
3a = 492
a = 492/3
a = 164 <=== there were 164 adult tickets sold
Answer:
(6,-4)
Step-by-step explanation:
-3x-9y = 18 (equation 1)
4x+3y = 12 (equation 2)
multiply equation 2 by 3, and add it to equation 2
-3x-9y = 18
12x+9y = 36
-----------------
X's cancel out
9x = 54
Divide both sides by 9
x = 6
Plug in 6 for x in any of the original equations
(Plugging into Equation 2)
4(6)+3y = 12 Multiply 4(6)
24+3y = 12 Subtract 24 from both sides
3y = -12 Divide 3 on both sides
y = -4
Therefore the solution is (6,-4).
Answer:
Step-by-step explanation:
∠A = arctan(33/43) ≈ 37.5°
AB = √(43² + 33²) = √2938
Law of Sines
∠C = arcsin(sinA ⋅ AB/BC) ≈ 34.7°
Answer:
$2.85
Step-by-step explanation:
First, add the bill up ($8.70 + $10.30 = 19). So now you need to find what 15% of $19 is...To find the percentage of something you need to turn it into a decimal, 0. (whatever the percentage number is). So in this case, 19 times 0.15, which is a tip of $2.85.
Given:
Triangles ABC and DEF are similar triangles.
AB = 6 m, BC = 16 m, CA = 15 m, DE = x, EF = 32 m, FD = y
To find:
The values of unknown sides, i.e., x and y.
Solution:
We know that the corresponding parts of similar triangles are proportional and triangles ABC and DEF are similar triangles, so
Now,
Similarly,
Therefore, the measure of unknown sides are x = 12 m and y = 30 m.
