Working out the different pay rates earned by Ike Phillips :
- Time and half pay rate = $17.055
- Double pay rate = $22.74
- Time and half earning = $114.2685
- Double rate earning = $77.316
- Gross earning = $646.3845
Let :
Regular rate = $11.37
Total earning for the week = $454.80
Double pay hours = 3.4
Time and half pay hours = 6.7
- Time and half pay rate = 1.5 × regular pay rate = 1.5 × 11.37 = $17.055
- Double pay rate = 2 × regular pay rate = 2 × 11.37 = $22.74
- Time and half earning = rate × time = $17.055 × 6.7 = $114.2685
- Double rate earning = rate × time = $22.74 × 3.4 = $77.316
- Gross earning = (regular + time and half + double earning) = $(454.80+114.2685+77.316) = $646.3845
Therefore, Ike's gross earning for the week is $646.3845
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Isabel can drive 505.85 miles with a gas tank that holds 15.1 gallons of gas
<em><u>Solution:</u></em>
Given that, Isabel’s car gets 33.5 miles per gallon
Her gas tank holds 15.1 gallons of gas
To find: Number of miles can Isabel drive on a full tank of gas
Let "x" be the miles drive with 15.1 gallons of gas
From given,
1 gallon = 33.5 miles
15.1 gallon = x miles
This forms a proportion and we can solve the sum by cross multiplying
Thus Isabel can drive 505.85 miles on a full tank of gas
Answer:
Find a line which also has 3/4 as the slope or 3x - 4y in standard form.
Step-by-step explanation:
If the line is 3x - 4y = 1 then the line which is parallel will have the same coefficients of x and y. Parallel lines never cross and to ensure this have the same slope. The slope is a ratio which can be solved for in an equation using the coefficients of x and y. Here the slope is:
3x - 4y = 1
-4y = -3x + 1
y = 3/4x - 1/4.
Find a line which also has 3/4 as the slope or 3x - 4y in standard form.
Since if he gets the driveway done in 20 minutes he gets 1/20th of the driveway done in 1 minute (if x=20 then x/20=1 by dividing both sides by 20) and if his brother gets 1/12th of the driveway done in one minute, then if t represents the time it takes to shovel the driveway, t/20+t/12=1 driveway shoveled as 1/20+1/12=amount they can do in 1 minute, so t/20+t/12 is how much they can do in t minutes. Multiplying both sides by 20*12=240, we get 12t+20t=32t=240. Dividing both sides by 32, we get 240/32=7.5 minutes to shovel the driveway.
