Given :
Reserved seat tickets for the football game cost $4.00 each and general admission tickets cost $3.00 each.
After the game is over, the turnstile count shows 1787 people attended the game. The total receipts were $5792.
To Find :
The number of each general admission tickets sold.
Solution :
Let, general admission are x.
So, Reserved seat tickets will be 1787 - x.
Now, total amount T = 3x + 4( 1787 - x )
T = $5792
3x + 4( 1787 - x ) = $5792
-x + 7148 = 5792
x = 1356
Therefore, the number of each general admission tickets sold are 1356.
Hence, this is the required solution.
Answer:
log₁₀(10³) + log₁₀(10⁴)
= log₁₀( 10³ × 10⁴ )
= log₁₀( 10³⁺⁴)
= log₁₀( 10⁷)
Step-by-step explanation:
Given:
log₁₀(10³) + log₁₀(10⁴) = log₁₀(10⁷)
Now,
we know the property of log function that
log(A) + log(B) = log(AB)
therefore,
applying the above property on the LHS, we get
log₁₀(10³) + log₁₀(10⁴) = log₁₀( 10³ × 10⁴ )
also,
xᵃ + xᵇ = xᵃ⁺ᵇ
therefore,
log₁₀( 10³ × 10⁴ ) = log₁₀( 10³⁺⁴)
= log₁₀( 10⁷)
Hence,
LHS = RHS
Hence proved
Answer:
x = 1
y = -2
Step-by-step explanation:
5x - 2y = 9 -----------(I)
2x + 7y = -12 --------------(II)
Multiply (I) by 7 35x - 14y = 63
Multiply (II) by 2 <u>4x + 14y = - 24</u><u> </u> {Now add and thus y will be eliminated}
39x = 39
x = 39/39
x = 1
Plugin x = 1 in equation(I)
5*1 - 2y = 9
5 -2y = 9
-2y = 9 -5
-2y = 4
y = 4/-2
y = -2
...... I need this as well please help us!!!
