Answer:
a < -30/31
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>
Step-by-step explanation:
<u>Step 1: Define</u>
7a + 42 + 8 < -10 + 9a - 64a
<u>Step 2: Solve for </u><em><u>a</u></em>
- Combine like terms (a): 7a + 42 + 8 < -10 - 55a
- Combine like terms: 7a + 50 < -10 - 55a
- [Addition Property of Equality] Add 55a on both sides: 62a + 50 < -10
- [Subtraction Property of Equality] Subtract 50 on both sides: 62a < -60
- [Division Property of Equality] Divide 62 on both sides: a < -30/31
Here we see any number <em>a</em> less than -30/31 would work as a solution to the inequality.
Answer:
$2,459.21
Step-by-step explanation:
(see attached for reference)
recall that the formula for compound interest is:
A = P [ 1 + (r/n)^ (nt) ]
where,
A = Final amount ( we are asked to find this)
P = principal amount = given as $2,340
r = Annual Interest Rate = given as 5% = 0.05
n = number of times compounded in a year = 4 (compounded quarterly)
t= time = 1 year
Substituting the values into the equation,
A = P [ 1 + (r/n)^ (nt) ]
A = 2,340 [ 1 + (0.05/4)^ (4·1) ]
A = $2,459.21
Answer:
10
Step-by-step explanation:
(5*2)=10
Answer: 4 gallons require 5 5/39 spoons of syrup
Step-by-step explanation:
