Y + 2 = -3(x - 4) [given: y = -2 ]
-2 + 2 = -3(x - 4)
0 = -3x + 12
3x = 12
x = 12/3
x = 4
Answer: 4
-(36 degrees) =
-0.628318531 radians
hope this helps you
Answer:
28
Step-by-step explanation:
I am assuming that "voice" is boys. So there were 20 girls and 10 boys. The number of girls decreased by 30%, so the amount of girls now is 70% of the old amount, so there are 7/10 * 20 girls now = 14 girls. The number of boys increased by 40%, so the number of boys now is 14/10 the original number of boys, so there are 14 boys now. 14+14=28 members on the swimming team
Answer:
(7, 3)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality<u>
</u>
<u>Algebra I</u>
- Terms/Coefficients
- Coordinates (x, y)
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
4x + 3y = 37
y = x - 4
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 4x + 3(x - 4) = 37
- Distribute 3: 4x + 3x - 12 = 37
- Combine like terms: 7x - 12 = 37
- [APE] Add 12 on both sides: 7x = 49
- [DPE] Divide 7 on both sides: x = 7
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define equation: y = x - 4
- Substitute in <em>x</em>: y = 7 - 4
- Subtract: y = 3
This is the application of ratio and proportion. You have to
formulate the proportion for this problem:
50 deliveries : 5 days = 400 deliveries : x days
The inner numbers when multiplies should equal the product
of the outer numbers.
400 (5) = 50x
50x = 2,000
x = 40
Therefore, it would take 40 days for the trucking company to
deliver 400 deliveries.