3x + 2y = $134
2x + 3y = $146
Using elimination to solve for x
9x +6y = 3*134 Multiplying 1st equation by 3
-4x -6y = -2*146 | Multiplying 2nd equation by -2
5x = 3*134 - 2*146
5x = $110
x = $22, the cost of the youth ticket
Put x= 22 Into An Equation Then Solve For y
3(22)+2y= 134
66+ 2y=134
Subtract 66
2y=68
Y= 34
CHECKING Answer ($34 being the cost of the adult ticket) y = (134-3*22)/2
3*$22 + 2*$34 = $66 + $68 = $134
Answer:
yes
Step-by-step explanation:
A square is a special case of rectangle in which adjacent sides are the same length. A rectangle is a special case of parallelogram in which adjacent angles are congruent.
So, a square is both a rectangle and a parallelogram. Ann, Pablo, and Felix can all be correct.
Answer:
a) 301.6 cm³
b) 188.5 cm²
Step-by-step explanation:
The volume and lateral surface area of the cone can be found using the given dimensions with the given formulas. All that is needed is to substitute the appropriate values and do the arithmetic.
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<h3>a) volume</h3>
The volume is given by the formula ...
V = 1/3πr²h
The dimensions are given on the diagram: r = 6 cm, h = 8 cm. Using these values in the formula, we find the volume to be ...
V = 1/3π(6 cm)²(8 cm) = 96π cm³ ≈ 301.6 cm³
The volume of the cone is about 301.6 cm³.
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<h3>b) area</h3>
The lateral area of the cone is given by the formula ...
A = πrl
The dimensions are given on the diagram: r = 6 cm, l = 10 cm (the slant height). Using these values in the formula, we find the area to be ...
A = π(6 cm)(10 cm) = 60π cm² ≈ 188.5 cm²
The area of the curved surface is about 188.5 cm².
Answer: 4/36 or 1/9
Step-by-step explanation: The answer will be 1/9 because when a dice is rolled 6 times, every number has a 1/6 chance of being the number. So if the die is rolled 36 times, the number will show up 1/9 of the time.
