ticket sale on Saturday night is triple the ticket sale on Friday night.
Therefore
ticket sales on Saturday night = 3 x 12425 = 37275
Then
ticket sales for both nights = 12425 + 37275 = 49700
A ticket costs 35.
Let the number of people that attended the carnival on both nights be n.
Then, we have
Therefore 1420 people attended the carnival on both nights
Answer:
16x+16
Explanation:
The perimeter is all of the sides added up. On a rectangle, only 2 sides are needed to know the perimeter because measurements are equal on both sides.
1) Write equation
2*5 + 2(8x+3)
2) Distributive property and multiply
10 + 16x + 6
3) Combine like terms
16x+16
<span>Simplifying
4(y + -3) = 6(y + 2)
Reorder the terms:
4(-3 + y) = 6(y + 2)
(-3 * 4 + y * 4) = 6(y + 2)
(-12 + 4y) = 6(y + 2)
Reorder the terms:
-12 + 4y = 6(2 + y)
-12 + 4y = (2 * 6 + y * 6)
-12 + 4y = (12 + 6y)
Solving
-12 + 4y = 12 + 6y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-6y' to each side of the equation.
-12 + 4y + -6y = 12 + 6y + -6y
Combine like terms: 4y + -6y = -2y
-12 + -2y = 12 + 6y + -6y
Combine like terms: 6y + -6y = 0
-12 + -2y = 12 + 0
-12 + -2y = 12
Add '12' to each side of the equation.
-12 + 12 + -2y = 12 + 12
Combine like terms: -12 + 12 = 0
0 + -2y = 12 + 12
-2y = 12 + 12
Combine like terms: 12 + 12 = 24
-2y = 24
Divide each side by '-2'.
y = -12
Simplifying
y = -12</span>
Answer:
Step-by-step explanation:
we know that
When we compare positive fractions with the same numerator, the largest rational number will be the fraction with the lowest denominator
In this problem we have
and 
Both numerator are equal
Compare the denominators
therefore
is the largest rational number
Answer:
Step-by-step explanation:
1.From the given triangle, ABC, using the proportionality theorem, we get
⇒
⇒
Thus, the height will be 25 feet.
2.
Statement Reason
1.∠C≅∠E Given
2. ∠ABC≅∠DBE Vertically opposite angles
3. ΔABC is similar to ΔDBE AA similarity rule.
