Answer:
x = -11
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
<u>Algebra I</u>
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
Terms/Coefficients
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify.</em>
-3(x + 2) = 16 - x
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Distributive Property] Distribute -3: -3x - 6 = 16 - x
- [Addition Property of Equality] Add <em>x</em> on both sides: -2x - 6 = 16
- [Addition Property of Equality] Add 6 on both sides: -2x = 22
- [Division Property of Equality] Divide -2 on both sides: x = -11
Answer:
6 square centimeters
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
The product of 3.99 and 3.3 will have 3 decimals.
When multiplying decimals, you add the decimals to get the total number of decimals in your product.
2+1=3 so it will have 3 decimals.
Answer:
The number of friends that went out for dinner is 8
And their bill is $238
Step-by-step explanation:
Let's assume that the number of friends that went out for dinner to be x
And the bill for the dinner to be y
If each person contributed $32 and paid off the bill,they will have a balance of $18
32x - 18 = y_____equation 1
If each person contributed $35 and paid off the bill and also 15% tip,they will have a balance of $6.30
35x - 6.3 = y + (15% of y)
35x - 6.3 = y + (3y/20)
Open up the bracket
35x - 6.3 =(20y + 3y)/20
700x - 126 = 23y______equation 2
From equation 1,y = 32x - 18
Put the above in equation 2 and we have
700x - 126 = 23(32x -18)
700x - 126 = 736x - 414
collect like terms
36x = 288
x = 288/36
x = 8
Remember that equation 1 says that y = 32x - 18 and we now know that x = 8 .
Substitute and we have
(32 × 8) - 18
y = 238
The number of friends that went out for dinner is 8
And their bill is $238
Answer is c 10 eliminate the decimal l
