9556.72 cubic feet of water is needed to refill the tank.
Given:
Average salary = 37,500
differ as much as 4,500
37,500 + 4,500 = 42,000
37,500 - 4,500 = 33,000
<span>|x − 37500| ≤ 4500; The salaries range from $33,000 to $42,000</span>
Answer:
(17y/8) - 101 or (17y - 808) / 8
Step-by-step explanation:
Please enclose the fractional coefficient 1/8 inside paretheses:
(1/8)y + 17 + 2y - 118.
Now combine like terms. (1/8)y + 2y comes to (1/8)y + 16y/8 = (17/8)y.
We thus have (17/8)y + 17 - 118. Leaving (17/8)y alone, evaluate 17 - 118:
(17y/8) - 101
You could leave your answer in this form, or combine the terms using the LCD 8:
17y - 808
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8
Answer:
The answer is below
Step-by-step explanation:
Yosune walked her dog 5 miles today and plans to walk her dog 2.5 miles every day from now on. The total number of miles walked y can be represented by y = 2.5x + 5, where x is the number days walked after today. a. State the x- and y-intercepts and then graph the equation. b. Interpret the x- and y-intercepts.
Solution:
The equation for a linear function is given by:
y = mx + b; where m is the slope of the function and b is the y intercept.
Given the equation y = 2.5x + 5, the y and x intercept can be found by substituting x = 0 and y = 0. Hence:
a) x intercept is the value of x when y = 0. Therefore:
0 = 2.5x + 5
2.5x = -5
x = -2
y intercept is the value of y when x = 0. Therefore:
y = 2.5(0) + 5
y = 5
b) The x-intercept is at the point (–2, 0). But there cannot be a negative number of days walked, hence the x intercept does not apply in this situation.
The y intercept is at the point (0, 5). This means that Yosune has initially walked her dog 5 miles.
Answer:
The probability is 0.05
Step-by-step explanation:
Since the event of a major earthquake is independent of other major earthquakes, the problem is quite simple. We know that the probability an event like this occurs every ten years is 0.1.
Using this, we can calculate the probability of it happening any one year to be
= 0.01
We can multiply this probability by the number of years.
Total number of years: 12 - 7 = 5
Probability the earthquake happens in these 5 years :
= 0.05