Deandre can paint a small room in 6 hours. Deandre and Casey together can paint the same room in 4 hours. How long would it take
1 answer:
Answer:
Step-by-step explanation:
If D can paint the room in 6 hours, in 1 hour she gets of the room painted;
If C can paint the room in x hours, in 1 hour she gets of the room painted.
It takes 4 hours to paint it together. Setting up the classic work equation gives us
and we need to solve for x. Multiply everything through by the LCM which is 12x:
making our equation simplify to
2x + 12 = 3x and solve for x:
12 = x
C can paint the room alone in 12 hours.
You might be interested in
Part A.
1) Function given:
2) Interpretation:
initial value: => x = 0 => f(x) = 0.69
table:
x f(x)
year price
0 0.69
1 0.69 * 1.03 = 0.7107 => increase = 3%
2 0.69 * (1.03)^2 = 0.732021 => increase = 3%
So, the answer is that the function is increasing at 3% per year.
Part B.
3) table
<span> t (number of years) 1 2 3 4
f(t) (price in dollars) 10,100 10,201 10,303.01 10,406.04
Percent change:
Year 2: 10,201 / 10,100 = 1.01 => 1% increase
Year 3: 10,303.01 / 10,201 = 1.01 => 1% increase
Year 4: 10,406.04 / 10,303.01 = 1.01 => 1% increase.
Answer: the </span><span>product of the part A recorded a greater percentage change in price over the previous year (3% vs 1%).</span>
1) Function given:
2) Interpretation:
initial value: => x = 0 => f(x) = 0.69
table:
x f(x)
year price
0 0.69
1 0.69 * 1.03 = 0.7107 => increase = 3%
2 0.69 * (1.03)^2 = 0.732021 => increase = 3%
So, the answer is that the function is increasing at 3% per year.
Part B.
3) table
<span> t (number of years) 1 2 3 4
f(t) (price in dollars) 10,100 10,201 10,303.01 10,406.04
Percent change:
Year 2: 10,201 / 10,100 = 1.01 => 1% increase
Year 3: 10,303.01 / 10,201 = 1.01 => 1% increase
Year 4: 10,406.04 / 10,303.01 = 1.01 => 1% increase.
Answer: the </span><span>product of the part A recorded a greater percentage change in price over the previous year (3% vs 1%).</span>