Answer:
(-3, -11)
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
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Coordinates (x, y)
- Terms/Coefficients
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = 7x + 10
y = -4x - 23
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 7x + 10 = -4x - 23
- [Addition Property of Equality] Add 4x on both sides: 11x + 10 = -23
- [Subtraction Property of Equality] Subtract 10 on both sides: 11x = -33
- [Division Property of Equality] Divide 11 on both sides: x = -3
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: y = 7x + 10
- Substitute in <em>x</em>: y = 7(-3) + 10
- Multiply: y = -21 + 10
- Add: y = -11
Answer:
The number zero (0) is a rational number.
Step-by-step explanation:
The number zero can be written as a ratio of two integers, thus it is indeed a rational number. This statement is TRUE.
Make a rectangular box that is 7/8 foot long, and 3/5 foot wide, then you just multiply the two together, I'm not gonna do it all for ya.
Answer:
Step-by-step explanation:
let x be part at 8%, y be part at 10% and z be part at 15%
(1) x+y+z=6300
the amount of money invested at 15% was $100 more than the amounts invested at 8% and 10% combined. so
(2) z=x+y+100
The total annual income from these investments was $766. so
0.08x+0.1y+0.15z=766 or
(3) 8x+10y+15z=76600
substitute (2) into (1)
x+y+x+y+100=6300
(4) 2x+2y=6200
substitute (2) inot (3)
8x+10y+15(x+y+100)=76600
(5) 23x+25y=75100
solving (4) n (5)
x=1200
y=1900
z=1200+1900+100=3200