Answer:
<em>Henson: 3x + y = 163</em>
<em>Garcia: 2x + 3y = 174</em>
<em>adult ticket price: $45</em>
<em>child ticket price: $28</em>
Step-by-step explanation:
Henson Family:
3 adults + 1 child; total $163
3x + y = 163
Garcia Family:
2 adults + 3 children; total $174
2x + 3y = 174
Now we solve the system of equations.
Solve the first equation (Henson Family) for y.
y = 163 - 3x
Substitute 163 - 3x for y in the second equation (Garcia Family).
2x + 3<em>y</em> = 174
2x + 3(<em>163 - 3x</em>) = 174
2x + 489 - 9x = 174
-7x + 489 = 174
-7x = -315
x = 45
Now substitute 45 for x in the first original equation and solve for y.
3x + y = 163
3(45) + y = 163
135 + y = 163
y = 28
adult ticket price: $45
child ticket price: $28
Answer:
a = 7
Step-by-step explanation:
This is a special trig triangles. Special trig triangles are identified by their angle measures and their sides have a unique relationship. This is a 30 - 60 - 90 triangle which has sides 1 - √3 - 2 or multiples of this. This means all 30 - 60 - 90 triangles have side lengths with the pattern 1 - √3 - 2. Here the triangle has a - 7√√3 - 14. The value of a is 7 since 7*√3 = 7√3 and 2*7 = 14.
Answer:
10:6=10*7:6*7
10:6=70:42
70+42=112
White ball 70 and striped balls 42
0.717, 0.718, 0.720, 0.820......
