The given final course grade, 88%, is the average of Frank's four quarter grades. The average is the sum of all grades divided among the four quarters. Let x be the average,
(82.5 + 94.7 + 87.9 + x) / 4 = 88
The value of x is equal to 86.9. Thus, the answer is letter C. 87%.
The answer is 255cm<span>²</span>
Answer:the price of one senior citizen's ticket is $4
the price of one student ticket is $10
Step-by-step explanation:
Let x represent the price of one senior citizen's ticket
Let y represent the price of one student ticket.
On the first day of ticket sales the school sold 6 senior citizen tickets and 10 student tickets for a total of $124. This means that
6x + 10y = 124 - - - - - - - - - - 1
The school took in 98 on the second day by selling 12 senior citizen tickets and 5 student tickets. This means that
12x + 5y = 98 - - - - - - - - - - - 2
Multiplying equation 1 by 2 and equation 2 by 1, it becomes
12x + 20y = 248
12x + 5y = 98
Subtracting, it becomes
15y = 150
y = 150/15 = 10
Substituting y = 10 into equation 1, it becomes
6x + 10 × 10= 124
6x + 100 = 124
6x = 124 - 100 = 24
x = 24/6 = 4
Answer:
The height of the pyramid is 5m
Step-by-step explanation:
To calculate the heigth of a pyramid we have to use the following formula:
v = volume = 70 m³
w = width = 6 m
l = length = 7 m
h = height
v = (w * l * h) / 3
we replace the values that we know
70m³ = (6m * 7m * h) / 3
70m³ * 3 = 42m² * h
210m³ / 42m² = h
5m = h
The height of the pyramid is 5m
