Answer: 95 adult tickets and 40 child tickets were sold.
Step-by-step explanation:
Let x represent the number of adult tickets that were sold.
Let y represent the number of child tickets that were sold.
The cost of an adult ticket is $12 and the cost of a child ticket is $5.
The ball game sold $1,340 in tickets one Saturday. It means that
12x + 5y = 1340- - - - - - - - - - 1
The number of $12 adult tickets was 15 more than twice the number of $5 child tickets. It means that
x = 2y + 15
Substituting x = 2y + 15 into equation 1, it becomes
12(2y + 15) + 5y = 1340
24y + 180 + 5y = 1340
24y + 5y = 1340 - 180
29y = 1160
y = 1160/29
y = 40
x = 2y + 15 = 2 × 40 + 15
x = 95
Answer:
∠ A ≅ ∠ E
∠ K = 60°
Step-by-step explanation:
Part 1.
Given that ABCD ≅ EFGH.
Whenever a quadrilateral is congruent to another, and we write the congruency in symbol, then the order of congruency with respect to angles and sides are maintained in the symbol.
That means if ABCD ≅ EFGH, then ∠ A ≅ ∠ E, ∠ B ≅ ∠ F and so on.
Therefore, in this case, ∠ A ≅ ∠ E (Answer) {It is also shown in the diagrams}
Part 2.
Given that, Δ EFG ≅ Δ KLM
Hence, ∠ E ≅ ∠K, ∠ F ≅ ∠ L, and ∠ G ≅ ∠ M
It is also given that ∠ F = 35° and ∠ G = 85°
So, ∠ E = 180° - ∠ F - ∠ G = 180° - 85° - 35° = 60°
Since, ∠ E = ∠ K,
So, ∠ K = 60°. (Answer)
Answer:3t^2)^2. (3t2)2 ( 3 t 2 ) 2. Apply the product rule to 3t2 3 t 2 . 32(t2)2 3 2 ( t 2 ) 2. Raise 3 3 to the power of 2 2 . 9(t2)2 9 ( t 2 ) 2. Multiply the exponents in ...
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Step-by-step explanation:
Answer:
y=29/4x
Step-by-step explanation:
Answer:
C. -3
Step-by-step explanation:
Given
Inequality; -5 < x < 0
Required:
A possible value of x
First, the inequality needs to be interpreted
The inequality reads.
-5 < x < 0
This means -5 is less than x and x is also less than 0
In other words, x is greater than -5 and x is less than 0.
With the illustration above, x starts from-4 and ends at -1, i.e. the range of x can be said to be -4 to -1
Possible Values of x: -4,-3,-2,-1
From. Option A through D, only -3 which is option C can be seen in this range.
Hence, -3 is a possible value
