Answer:
72 adult tickets were sold and 114 child tickets were sold.
Step-by-step explanation:
x+y=186, 14x=10y=2148
x=186-y
14(186-y)+10y=2148
2604-14y+10y=2148
2604-4y=2148
-4y=-456
y=144
x=186-144 : x=72
Answer:
Option B.
Step-by-step explanation:
We need to find the range of numbers is most appropriate for the y-axis scale and interval on a graph for given table.
From the given table it is clear that the minimum value of y is 10 and the maximum value of y is 34.
It means 10 and 34 must be included in the Range.
In option C and D 34 in not included in the range, so these options are incorrect.
In option A, 10 is the minimum value of range and interval of 10 is not possible for the range 10-35, because it contains only multiple of 10 on the y-axis. So, this option is incorrect.
In option B, both 10 and 34 are included and interval of 5 is possible for range 0-35.
Therefore, the correct option is B.
We are already given with the function to solve for the area:
<span>A(θ) = 16 sin θ ⋅ (cos θ + 1)
</span>
We simply have to substitute the value of the angle into the function. So,
If <span>θ = 90°,
A(</span>90°) = 16 sin (90°) ( cos (<span>90°) + 1 )
Using the calculator or the definition of trigonometric functions at angle of </span><span>90°, we get the value of the area:
</span>A(<span>90°) = 16 square inches</span>
9514 1404 393
Answer:
4x - 3(12x + 4) = -6
Step-by-step explanation:
Solving the first equation for y, you have ...
12x +4 = y . . . . add y+4 to both sides
Replacing y with (12x+4) in the second equation gives ...
4x -3(12x +4) = -6 . . . . matches the second choice
Answer: see explanation
Step-by-step explanation: To determine which ordered pairs satisfy the equation substitute the x coordinate of the point into the right side and if the value obtained equals the y coordinate of the point then it satisfies the equation
(- 1, - 1)
x = - 1 : y = - 4 + 3 = - 1 ⇒ (- 1, - 1) satisfies the equation
(2, 11)
x = 2 : y = 8 + 3 = 11 ⇒ (2, 11) satisfies the equation
(4, 7)
x = 4 : y = 16 + 3 = 19 ≠ 7 ⇒ (4, 7) does not satisfy the equation
(7, 1)
x = 7 : y = 28 + 3 = 31 ≠ 1 ⇒ (7, 1) does not satisfy the equation
