£168
Step-by-step explanation:
He usually gets paid £8/hr.
Which means for half an hour of work, he is paid £8(1/2)=£4
And for three quarters of an hour, his is paid £8(3/4)=£2(3)=£6
So for time and a half pay on Saturday, he'll be paid: £(8+4)/hr × (7 hrs) = 84
And for Sunday it'll come to:
£(8+6)/hr × (6 hrs) = £84
So all together Jarvis mad £(84+84) = £168 last weekend.
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Ratio Given :
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AB : AC = 1 : 2
⇒ 2(3x - 4) = 2x + 12
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Solve for x :
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2(3x - 4) = 2x + 12
6x - 8 = 2x + 12
4x = 20
x = 5
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Find AC:
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AC = 2x + 12
AC = 2(5) + 12
AC = 22
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Find BC:
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BC = 7x - 2
BC = 7(5) - 2
BC = 33
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Find ratio :
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AC : BC
22 : 33
(÷11) (÷11)
2 : 3
Ratio of AC : BC = 2 : 3 (Shown)
Answer:
Final answer is 10.5 gallons of water.
Step-by-step explanation:
Given that Joe is filling the washing machine to wash clothes. After one minute, there are 1.75 gallons of water in the washing machine. After two minutes, there are 3.5 gallons of water in the machine. After three minutes, there are 5.25 gallons in the machine. Now we need to determine If this pattern continues then about how many gallons of water will be in the washing machine after six minutes.
Look at the pattern of volume of the water at given minutes.
We see that 1.75 is added each minute.
then required equation of volume is
V=1.75t
So for t=6 minutes, volume is given by
V=1.75*6=10.5
Hence final answer is 10.5 gallons of water.
Answer:
The answer is C.
Step-by-step explanation:
Square root of a negative number is non real.
Set sin x to a variable, i.e. u
u^2-u-2/u-2.
Factor:
(u-2)(u+1)/(u-2)
Simplify by canceling the u-2s...
leaving u+1. Since we substituted u for sin x...
the answer is A. sin x + 1