shonna skateboards for some number of minutes on Monday, On Tuesday, dshe skateboards for twice as many minutes as she did on mo
1 answer:
Shonna skateboarded 40 minutes on Monday, 80 minutes on Tuesday and 60 minutes on Wednesday.
Step-by-step explanation:
Given,
Total time spent on skate boarding = 3 hours
1 hour = 60 minutes
3 hours = 60*3 = 180 minutes
Time spent on skate boarding = 180 minutes
Let,
Time spent on skate boarding on Monday = x
Time spent on Tuesday = 2x
Time spent on Wednesday =
According to given statement;
Taking LCM on left side;
Multiplying both sides by 2
Dividing both sides by 9
Time spent on Monday = x = 40 minutes
Time spent on Tuesday = 2x = 2(40) = 80 minutes
Time spent on Wednesday =
Shonna skateboarded 40 minutes on Monday, 80 minutes on Tuesday and 60 minutes on Wednesday.
Keywords: linear equation, variable
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Answer:
Hourly rate: $17.
Hourly overtime rate: $25.5.
Step-by-step explanation:
Let x represent Jim's hourly pay.
We have been given that Jim worked 40 hours last week. So amount paid in 40 hours would be .
We are also told that his over time pay is time-and-a-half rate that is .
The amount earned for working 8 overtime hours would be .
Since Jim's gross pay was $884, so we will equate amount earned in 40 hours and 8 hours of overtime with 884 as:
Therefore, Jim's hourly rate is $17.
Overtime rate would be
Therefore, Jim's hourly overtime rate is $25.5.
We are given time in minutes.
According to given table, we are given times 0 minute, 10 minutes and 15 minutes.
And depths are given 3, 5 and 6.
Times represents x coordinates and depths represents y-coordinates.
First we need to find the depth of the tank in per unit time( in a minute).
In order to find the depth of the tank in per unit time, we need to find th slope between two coordinates.
Let us take first two coordinate made using table (0,3) (10,5)
We know, slope formula
Plugging values in slope formula, we get
m=
We got slope m= 1/5=0.2.
We can say that depth of the tank is increasing by rate 0.2 per minute.
From the given table, we can see that for x=0, y value is 3.
Therefore, y-intercept is 3.
Let us write an equation of the line for given table in slope-intercept form y=mx+b.
Plugging values of m and b in slope-intercept form, we get
y= 0.2x+3.
We need to find the depth after 1/2 hours.
1 hour = 60 minutes,
Therefore, 1/2 hours = 60/2 = 30 minutes.
Plugging value of x=30 in above slope-intercept form of the equation, we get
y= 0.2(30)+3.
y= 3+6 = 9.
y=9
Therefore, the depth of the oil 1/2 hour after filling begins is 9 units.