Step-by-step explanation:
recall in a linear equation expressed in the form
y = mx + b,
m represents the slope or the rate of change in the value of y for a unit change in the value of x
b represents the y-intercept (i.e the value of y when x = 0)
If you compare these definitions to what was given in the question, the rate of change in snowfall is given as 1/2 inches per hour. This is equivalent to the m value in our general equation above. Hence we can say that the rate of change in snowfall is equal to the slope of the graph.
The question also states that before the snow even started to fall (i.e when x=0 hours), there was already 8 inches on the ground. This is equivalent to the value of b in our general equation above. Hence we can say that the y-intercept is representative of the 8 inches that was already on the ground when the snow started falling.
Answer:
x = 10
y = 6
Step-by-step explanation:
<u>Vertical Angle Theorem</u>: When two straight lines intersect, the opposite vertical angles are always equal to each other.
⇒ m∠1 = m∠3 and m∠2 = m∠4
⇒ m∠1 = m∠3
⇒ 10x = 100
⇒ x = 10
<u>Linear pair:</u> Two adjacent angles which sum to 180°.
⇒ m∠1 + m∠2 = 180°
⇒ m∠3 + m∠4 = 180°
⇒ 100 + 10y + 20 = 180
⇒ 120 + 10y = 180
⇒ 10y = 60
⇒ y = 6
Answer:
Allen sold 50 cell phones while Kay sold 67 cell phones.
Step-by-step explanation:
Let the number of cell phones sold by Allen be x. This will imply that the number of cell phones sold by Kay is x + 17.
Furthermore, we are informed that together they sold a total of 117 cell phones. Therefore, we use the following equation to determine the number of cell phones sold by each;
x + x + 17 = 117
2x + 17 = 117
2x = 100
x = 50
Therefore, Allen sold 50 cell phones while Kay sold 67 cell phones.
Answer:
1/3
Step-by-step explanation:
if you move up 1 over three, the line intersects the graph
