Answer:
Step-by-step explanation:
To find an equation of a line in point slope form when given the slope and a point we use the formula
From the question we have the final answer as
Hope this helps you
Answer: 5%
Step-by-step explanation:
First and foremost, we need to know that 60 minutes = 1 hour. Therefore,
7 hours = 60 × 7 = 420 minutes.
Number of minutes awake = 21 minutes
Number of minutes supposed to be asleep = 7 hours = 420 minutes
The percentage of the seven hours that Frank was awake during the night will be:
= 21/420 × 100
= 1/20 × 100.
= 5%
<h3>Answer:</h3>
1.9
Step-by-step explanation:
<h3>The above is direct and inverse variation.</h3>
A = kB/C -----------(1)
A=12
B = 3
C= 2
substitute A, B and C into equation (1).
12 = K × 3/2
12 = 3k/2
12×2 = 3k
3K = 24
dividing bothsides by 3
3K/3 = 24/3
K = 8
substitute K = 8 into equation (1)
A = 8B /C --------------(2)
Equation (2) is the equation connecting
A,B and C.
Finding B when A = 10 and C = 1.5
10 = 8B / 1.5
10× 1.5 = 8B
15 = 8B
Dividing bothsides by 8 :
B = 15/8
B = 1.875
B = 1. 9 ( approximately)
Answer:
23 child tickets were sold
Step-by-step explanation:
Using the information given, we can set up an equation to solve for the number of child tickets sold. Since there were three times as many adult tickets as child tickets sold, we can assign the variable 'x' to represent the number of child tickets and '3x' to represent the number of adult tickets. Since we know the cost of each ticket, as well as the total sales, we can set up the following equation:
5.20x + 9.70(3x) = 788.90
Simplify 5.20x + 29.1x = 788.90
Combine like terms: 34.3x = 788.90
Divide both sides by 34.3: x = 23 child tickets
0.043 is the correct answer :$
