<u>Given</u>:
The given graph represents the cost of the Kayak's rental per hour.
The coordinates are (2,30) and (3,45)
We need to determine the unit rate of renting per hour.
<u>Unit rate of renting:</u>
The unit rate of renting can be determined using the formula,
Substituting the coordinates (2,30) and (3,45), we get;
Simplifying, we get;
Dividing, we get;
Thus, the unit rate for renting a Kayak is $15 per hour.
Answer:
First and second box had 80 and 75 lb flour originally.
Step-by-step explanation:
Let the two boxes contained x lb and y lb of the flour respectively.
Both the boxes contained 155 lb of flour in total.
So the first equation will be,
x + y = 155 --------(1)
If the 20 lb of the flour is taken out then amount of flour in first box = (x - 20) lb
and added to the second box then flour in second box = (y + 20) lb
After the mixing of flour statement says that "the first box will contain of the flour now in the second box."
For this statement equation will be
19(x - 20) = 12(y + 20)
19x - 12y = 380 + 240
19x - 12y = 620 ------(2)
Equation (1) × 12 + equation (2)
12(x + y) + (19x - 12y) = 155×12 + 620
31x = 1860 + 620
31x = 2480
x =
x = 80 lb
from equation (1)
80 + y = 155
y = 155 - 80
y = 75 lb.
Therefore, first and second boxes had 80 lb and 75 lb of flour originally.
Regal theater sold 321 adult tickets and 227 children tickets.
Step-by-step explanation:
Given,
Cost of each adult ticket = $6.50
Cost of each child's ticket = $3.50
Total tickets sold = 548
Total worth of sold tickets = $2881
Let,
x represent the number of adult tickets sold
y represent the number of child tickets sold
According to given statement;
x+y=548 Eqn 1
6.50x+3.50y=2881 Eqn 2
Multiplying Eqn 1 by 6.50
Subtracting Eqn 2 from Eqn 3
Dividing both sides by 3
Putting y=227 in Eqn 1
Regal theater sold 321 adult tickets and 227 children tickets.
Keywords: linear equation, elimination method
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