Answer:
$46,053
Step-by-step explanation:
- Convert 29% into a decimal, which is 0.29.
- Multiply $35,700 by 29% as a decimal (0.29), which is 10,353.
- Since the keyword is more, we want to add $35,700 and 10,353 (29% of $35,700). The answer will be $46,053.
Short Answer: 18 minutes
Remark
The answer to this problem is less than the smallest time of the two people working together. that fact lets out C and D (38 minutes and 75 minutes). Now you have to choose 15 minutes and 18 minutes. There's a method. No guessing needed.
Givens
Let the time for Sophie = S
Let the time for Simon = M
Let the job to completion = 1
S = 45 minutes
M = 30 minutes
Step One
Convert minutes to hours.
45 minutes = 45 / 60 = 3/4 hour = 0.75 hour
30 minutes = 30 / 60 = 1/2 hour = 0.50 hour
Step Two
Set up the Equation
The formula is a form of job / hour.
Let the time = t that they both have to work
job = 1 in these problems.
1/S + 1/M = 1/t
1/0.75 + 1/0.5 = 1/t
Solve
1 ÷ 0.75 = 1.33333
1 ÷ 0.5 = 2
1.3333 + 2 = 3.33333
3.3333 = 1 / t Multlply both sides by t
3.3333*t = 1
t = 1 / 3.333333333
t = 0.3 of an hour
1 hour = 60 minutes
0.3 hours = x Cross Multiply
x = 60 * 0.3
x = 18 minutes
Answer working together it took them 18 minutes <<<<<
Answer:
x ≈ - 10.65, x ≈ - 5.35
Step-by-step explanation:
Given
(x + 8)² - 7 = 0 ( add 7 to both sides )
(x + 8)² = 7 ( take the square root of both sides )
x + 8 = ±
( subtract 8 from both sides )
x = - 8 ±
, thus
x = - 8 -
≈ - 10.65
x = - 8 +
≈ - 5.35
Answer:
3+x<5x+2
Step-by-step explanation:
the sum of the number 3+xis less than so 3+x<5×x+2
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Answer:
The second/below one is where point G in an orthocenter
Step-by-step explanation: