Adam can clean a room in 3 hours. If his sister Maria helps, they can clean it in 225 hours. How long will it take Maria to do the job alone?
2 2 = 12 Together time, 2 2 , needs to be converted to fraction 555
Adan:3,Maria:x,Total: 5 Clearlystatetimesforeachandtotal,usingxforMaria 12
1+1= 5 Usingreciprocals,addtheindividualtimesgivestotal 3 x 12
1
1(12x) + 1(12x) = 5(12x) 3 x 12
4x+12=5x −4x −4x 12=x It takes Maria 12 hours
Multiply each term by LCD of 12x
Reduce each fraction
Move variables to one side, subtracting 4x Our solution for x
Answer is - 12 hours
How thick a layer would Earth form as it wraps around the neutron star’s surface is: 6.67 10⁻³ m.
<h3>Density of the Neutron star</h3>
Density
ρ = m / V
Where:
ρ= density
m = mass of the planet 5.98 10²⁴ km
V =volume of the spherical layer
Volume of a sphere
Volume = 4/3 π r³
Mass = 1.5 = 1.5 1,991 10³⁰
Mass= 2.99 10³⁰ kg
Density:
ρ = 2.99 10³⁰ / [4/3 π (10 10³)³]
ρ is = 7.13 10 17 kg / m³
V = 5.98 10²⁴ / 7.13 10¹⁷
V = 8,387 10⁶ m³
Thickness of the layer
V = 4π r² e
e = V / 4π r
e = 8,387 10⁶ / [4π (10 10³)²]
e = 6.67 10⁻³ m
Inconclusion how thick a layer would Earth form as it wraps around the neutron star’s surface is: 6.67 10⁻³ m.
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In Country A, the opportunity cost of one paper clip is 1/2. Option C
<h3>What is opportunity cost?</h3>
The opportunity cost refers to the alternative forgone in production. It means that it is the option that is chosen in the midst of other possibilities.
We can see from the table that in Country A, the opportunity cost of one paper clip is 1/2.
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Missing parts
If countries A and B produce only either rubber bands or paper clips, their maximum outputs are shown in the accompanying production possibilities schedules.
In country A the opportunity cost of 1 paper clip is
A.2 rubber bands.
B.1 rubber band
C.1/2 rubber band.
D.1/4 rubber band.
Where’s the rest of the question? if there was more to the question i could assist you.
Based on the computation done, the value of the combined gross monthly income is $7630.
Since there are four weeks in a month, Joe's income will be:
= 23.50 × 40 × 4
= 3760
The value of Zola's income will be:
= 21.50 × (40 + 5) × 4
= 21.50 × 45 × 4
= 3870
Therefore, the combined gross monthly income will be;
= $3760 + $3870
= $7630
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