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:
You wrote the numbers from 1 to 9: 9 digits.
You wrote the numbers from 10 to 99: 90*2 = 180 digits.
You have written 189 digits.
Then you wrote another 1994 - 189 = 1805
All the numbers from 100 to 999 have 3 digits
So you wrote 1805/3 = 601 2/3
This means 601 full numbers and 2 digits from the 602. number.
So 100 + 601 - 1 = 700 was the last number you wrote.
Do you agree?
Answer:
I don't get the "number of 40" part, but here's my best shot!
3(40x)-5
Step-by-step explanation:
You need to find 7 1/2% of $29.95.
To do that, just multiply the percent by the number.
7 1/2% * $29.95 =
= 7.5% * $29.95
= 0.075 * $29.95
= $2.24625
The answer is $2.25
