Answer:the cost for 40 children to attend along with 5 adult tickets = $ 417.55
Step-by-step explanation:
It costs 135.25 for 15 child tickets to the museum. Let us determine the cost per child ticket to the museum.
cost per child ticket to the museum.
= total cost of 15 child tickets / number of child tickets.
= 132.25 / 15 = 8.82
Adult tickets cost 12.95 each.
The cost of 40 child tickets is
40 × 8.82 = $352.8
The cost of 5 adult tickets = 5 × 12.95
=$ 64.75
the cost for 40 children to attend along with 5 adult tickets would be
352.8 + 64.75 = $ 417.55
The solution to the inequality expression is x ≥ 30
<h3>How to solve the
inequality expression?</h3>
The inequality expression is given as:
8x - 3(2x - 4) ≤ 3(x - 6)
Open the brackets in the above inequality expression
8x - 6x + 12 ≤ 3x - 18
Collect the like terms in the above inequality expression
8x - 6x - 3x ≤ -12 - 18
Evaluate the like terms in the above inequality expression
-x ≤ -30
Divide both sides of the above inequality expression by -1
x ≥ 30
Hence, the solution to the inequality expression is x ≥ 30
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Answer:
X Y
4. 2
8. 3
12. 4
hope this is helpful for you
Given equations are;<span>
2a + 3b = -1 ..................equation 1
3a + 5b = -2 ....................equation 2</span>
Now multiply equation 1 with (-3)
The equation will be;
-6a -9b = 3 …………………..equation 3
Now multiply equation 2 with (2)
The equation will be;
6a + 10b = -4 ……………..equation 4
Now add equation 3 and equation 4
-6a – 9b = 3
<span>6a + 10b = -4</span>
<span>------------------------------</span>
0a + b = -1
b = -1
Now put the value of b in equation 1
2a + 3(-1) = -1
2a -3 = -1
2a = -1+3
2a = 2
a=1
Thus the solution is (a,b) = (1,-1)
<span>
</span>
Answer:
Therefore the Last option is correct

Step-by-step explanation:
Given:
Radius = r = 8 in
θ = 42°
To Find:
Area of Sector = ?
Solution:
We know that

Substituting the given values in the formula we get

Which is the required Answer.
Therefore the Last option is correct
