Answer:
Rate = 0.035 per weeks
Step-by-step explanation:
Given that,
An artist has completed 1/14 of a painting in 2 weeks.
We need to find the rate at which she is working. Let the rate is R. It can be calculated by dividing part that is completed and time.
Hence, her rate is 0.035 per weeks.
Answer:
see explanation
Step-by-step explanation:
given that r varies jointly with x and y then the equation relating them is
r = kxy ← k is the constant of variation
To find k use the condition r = 15 when x = 3 and y = 4
k = = = 1.25
r = 1.25xy ← equation of variation
When x = 16 and y = 1.25, then
r = 1.25 × 16 × 1.25 = 25
Using substitution:In the first equation, look to solve for x
{x + 3 y = 8
{4 x - y = 6
Subtract 3 y from both sides:
{x = 8 - 3 y
{4 x - y = 6
Substitute x = 8 - 3 y into the second equation:
{x = 8 - 3 y
{4 (8 - 3 y) - y = 6
4 (8 - 3 y) - y = (32 - 12 y) - y = 32 - 13 y:
{x = 8 - 3 y
{32 - 13 y = 6
In the second equation, look to solve for y:
{x = 8 - 3 y
{32 - 13 y = 6
Subtract 32 from both sides:
{x = 8 - 3 y
{-13 y = -26
Divide both sides by -13:
{x = 8 - 3 y
{y = 2
Substitute y = 2 into the first equation:
Answer: {x = 2
{y = 2
Solution
Given data
According to Boyle's law, PV = K
The required general equation thus is
Substituting these values we find that the initial pressure is
The initial pressure to the nearest tenth, therefore, is 1.8 atm.
The final answer, therefore, is Option D
Answer:
(1, 1), (2, 2.333) and (3, 3.666).
Step-by-step explanation:
So, for x = 1, we have:
4*1 - 3y = 1
3y = 3
y = 1
For x = 2, we have:
4*2 - 3y = 1
3y = 7
y = 2.333
For x = 3, we have:
4*3 - 3y = 1
3y = 11
y = 3.666
The points we need to plot is (1, 1), (2, 2.333) and (3, 3.666).