Answer:

Given:
- area = 18 cm²
- base = 6 cm
- height = (h + 1) cm
Substitute the given values into the equation and solve for h:



expand using distributive property of addition
:

subtract 3 from both sides:

divide both sides by 3:

<u>To verify</u>:
Half of the base is 3 cm.
If h=5, then the height of the triangle is 6 cm.
Multiplying 3 by 6 is 18.
This matches the given area, so we can verify that h = 5.
5 because if you multiply the previous value by 5, you get the next answer
Answer:
1400
Step-by-step explanation:
Given: Cost of Regular ticket = $9.50
Cost of Matinee tickets= $7
Total number of people= 5000
Total spending in watching movie= $44000.
Lets assume total number of people attended matinee be "x".
∴ Number of people attended Regualr show= 
We know, total cost= 
Now, forming an equation to show total spending on tickets.
⇒ 
Using distributive property of multiplication to multiply 9.50 with 5000 and -x.
⇒ 
⇒ 
Adding both side by 2.5x
⇒ 
subtracting both side by 44000
⇒ 
Dividing both side by 2.5
⇒
∴
Hence, number of people attended the matinee show are 1400.
Options were not present in the question we are Stating below;
Rashida owns a bike rental company. She charges an initial fee of $10 for each rental and an hourly rate of $4. A customer paid $34 for a bike rental. Which of the equations below could be used to find how many hours, x, the customer rented the bike?

Answer:

Step-by-step explanation:
Given:
Amount customer paid = $34
Initial fee = $10
Hourly rate = $4
We need to write the equation used to find how many hours, x, the customer rented the bike.
Solution:
Let the number of hours customer rented the bike be 'x'.
Now we can say that;
Amount customer paid is equal to sum of Initial fee plus Hourly rate multiplied by number of hours customer rented the bike.
framing in equation form we get;

Hence The equation used to find number of hours customer rented the bike is
.
Answer:
x = 3
Step-by-step explanation:
1. 5x = 11 +4 (when the negative is moved, it turns positive)
2. 5x = 15
3. divide 15 by 5 and then you get your answer