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Lorico [155]
3 years ago
6

PLEASE HELP

Mathematics
1 answer:
Lostsunrise [7]3 years ago
4 0
Jayne will need to drive 40 mph on the way back.
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Question 3
BigorU [14]

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.

3 0
3 years ago
Read 2 more answers
For g(x)=1/2x-11, find x when g(x)=-5
Vesna [10]

Answer:

x = 12

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Algebra I</u>

  • Function Notation

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>

  1. Substitute:                    -5 = 1/2x - 11
  2. Isolate <em>x</em> term:              6 = 1/2x
  3. Isolate <em>x</em>:                       12 = x
  4. Rewrite:                        x = 12
7 0
2 years ago
A machine is designed to fill 16-ounce bottes of shampoo. When the machine is working properly, the amount poured into the bottl
vlada-n [284]

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

7 0
2 years ago
12÷2×8 value 120 where would the parentheses go
denis23 [38]

Answer:

(12÷2)×8

Step-by-step explanation:

7 0
3 years ago
What is the domain of this function?<br> (5, 14)<br> (0,5)<br> (-20, 18)<br> (7, 7)
shutvik [7]
5,14 is the domain of this function.
4 0
3 years ago
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