Answer:
x = 41/3
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
7(1x - 3) = 4(x + 5)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Simplify: 7(x - 3) = 4(x + 5)
- Distribute: 7x - 21 = 4x + 20
- Subtract 4x on both sides: 3x - 21 = 20
- Add 21 on both sides: 3x = 41
- Divide 3 on both sides: x = 41/3
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute: 7(1(41/3) - 3) = 4(41/3 + 5)
- Multiply: 7(41/3 - 3) = 4(41/3 + 5)
- Subtract/Add: 7(32/3) = 4(56/3)
- Multiply: 224/3 = 224/3
Here, we see that 224/3 is indeed equivalent to 224/3. ∴ x = 41/3 is a solution to the equation.
And we have our final answer!
Answer + Explanation
You look at the two denominators of the fractions and find the least common multiple of both of them.
1. the LCM of 2 and 5 is 10
2. the LCM of 3 and 5 is 15
3. the LCM of 4 and 6 is 12
4. the LCM of 6 and 9 is 18
Answer:
the answer is that both x and y are acute
Answer:
the minimum sample size n = 11.03
Step-by-step explanation:
Given that:
approximate value of the population standard deviation 
= 49
level of significance ∝ = 0.01
population mean = 38
the minimum sample size n = ?
The minimum sample size required can be determined by calculating the margin of error which can be re[resented by the equation ;
Margin of error = 
n ≅ 11.03
Thus; the minimum sample size n = 11.03
Answer:
3 minutes
Step-by-step explanation:
To find how many minutes it will take to play the whole song, multiply 1/5 by 15
15(1/5)
= 3
So, it will take 3 minutes to play the whole song
