Answer:
30 mph
Step-by-step explanation:
time = distance/speed
If x represents Jane's speed along the summit then her total exploration time is ...
12/x + 40/(x -5) = 2 . . . . . hours
Multiplying by (x)(x -5), we get ...
12(x -5) +40(x) = 2(x)(x -5)
Dividing by 2 and subtracting the left side gives ...
x^2 -31x +30 = 0
(x -30)(x -1) = 0 . . . . . factor
Solutions are x = 30 and x = 1, values of x that make the factors zero. A speed of 1 mph makes no sense in this problem, so ...
Jane's speed along the summit was 30 mph.
Answer:
x = 12
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
g(x) = 1/2x - 11
g(x) = -5
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute: -5 = 1/2x - 11
- Isolate <em>x</em> term: 6 = 1/2x
- Isolate <em>x</em>: 12 = x
- Rewrite: x = 12
Answer:
(D) 15.90 to 16.20 ounces
Step-by-step explanation:
Confidence Interval = mean + or - (t×sd)/√n
Mean = 16.05 ounces, sd = 0.1 ounce, n = 4, degree of freedom = n - 1 = 4 - 1 = 3, t = 3.182
Lower limit = 16.05 - (3.182×0.1)/√4 = 16.05 - 0.15 = 15.90 ounces
Upper limit = 16.05 + (3.182×0.1)/√4 = 16.05 + 0.15 = 16.20 ounces
The sample mean will fall from 15.90 to 16.20 ounces
Answer:
(12÷2)×8
Step-by-step explanation:
5,14 is the domain of this function.
