Answer:
2 hours
Step-by-step explanation:
Downers grove = 5 inches of snow + 6 inches every hour
= 5 + 6h
Woodridge = 13 inches + 2 inches every hour
= 13 + 2h
Where,
h = number of hours
In how many hours will the snowfall of the towns be equal?
Equate the snow falls of the towns
Downers grove = Woodridge
5 + 6h = 13 + 2h
Collect like terms
5 - 13 = 2h - 6h
8 = 4h
Divide both sides by 4
h = 8 / 4
= 2
h = 2 hours
The snowfall of the towns will be equal in 2 hours
Answer:
- <u><em>Mr. Mole's burrow lie 7 meters below the ground.</em></u>
Explanation:
The information given can be summarized as:
- Mr Mole's altitude relative to the ground, in meters: A = - 2.3t - 7
- Time, since Mr. Mole started digging, in minutes: t
<u>Interpetration of the terms in the model A = -2.3t - 7</u>
The equation A = -2.3t - 7 is a linear function, which consists of two terms:
- The term -2.3t indicates that the altitude of Mr Mole decreases by 2.3 meters every minute. This is, -2.3 is the slope of the line in the graph that represents the altitude.
- The constant term - 7 is the altitude at t = 0, because at t = 0 A = -2.3(0) - 7 = 0 - 7 = 0. This is, -7 is the intercept with the vertical axis in the graph that represents the altitude.
Thus, altitude at which <em>Mr. Mole's burrow lie</em> is the initial value given by the function, this is the altitude at t = 0, or the vertical intercept of the line; which, as just said is - 7. The negative sign tells that the value is below the ground (ground level is 0 meters). Then, <em>Mr. Mole's burrow lie 7 meters below the ground.</em>
Answer:
No
Step-by-step explanation:
Not every parallelogram is a rhombus, though any parallelogram with perpendicular diagonals is a rhombus
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.
45.67 + 17.96 = 63.63
100 - 63.63 = 36.37
Andrew should get back $36.37
