Answer:
3. r = -8
4. x = -5
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
2(-5r + 2) = 84
<u>Step 2: Solve for </u><em><u>r</u></em>
- Divide 2 on both sides: -5r + 2 = 42
- Subtract 2 on both sides: -5r = 40
- Divide -5 on both sides: r = -8
<u>Step 3: Check</u>
<em>Plug in r into the original equation to verify it's a solution.</em>
- Substitute in <em>r</em>: 2(-5(-8) + 2) = 84
- Multiply: 2(40 + 2) = 84
- Add: 2(42) = 84
- Multiply: 84 = 84
Here we see that 84 does indeed equal 84.
∴ r = -8 is a solution of the equation.
<u>Step 4: Define equation</u>
264 = -8(-8 + 5x)
<u>Step 5: Solve for </u><em><u>x</u></em>
- Divide both sides by -8: -33 = -8 + 5x
- Add 8 to both sides: -25 = 5x
- Divide 5 on both sides: -5 = x
- Rewrite: x = -5
<u>Step 6: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in<em> x</em>: 264 = -8(-8 + 5(-5))
- Multiply: 264 = -8(-8 - 25)
- Subtract: 264 = -8(-33)
- Multiply: 264 = 264
Here we see that 264 does indeed equal 264.
∴ x = -5 is a solution of the equation.
Answer:
10x²−9x
Step-by-step explanation:
10x²−10x−6+x+6
=10x²−10x−6+x+6
Combine Like Terms:
=10x²−10x−6+x+6
=(10x²)+(−10x+x)+(−6+6)
=10x²−9x
Hope this helps!
The answer fam is.........12(x + 3)
Answer:
The UPC is not valid..
Step-by-step explanation:
The Universal Price Code is represented in the form of bars which is scanned when we purchase something.
The last digit of the UPC is the check digit.
Give UPC = 375407370090
To check whether the UPC is valid or not.
Step 1:
Add the digits at odd positions.
3 + 5 + 0 +3 + 0 + 9 = 20
Step 2:
Multiply the number obtained in step 1 by 3
20*3 = 60
Step 3:
The digits at even positions have to be added. The last digit has to be ignored as it is a check digit.
7 + 4 + 7 +7 +0 = 25
Step 4:
Add the numbers obtained in Step 2 and step 3
60 + 25 = 85
Step 5:
The number obtained in step 5 is subtracted from the next multiple of 10.
In the above case,
85 will be subtracted from 90.
90 - 85 = 5
For a valid UPC, the answer to step 5 is equal to the last digit of UPC.
In the above case, the answer is 5 which is not equal to zero.
So, the UPC is not Valid.
Answer:
the correct answer is 12n+2
Step-by-step explanation:
