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m_a_m_a [10]
3 years ago
13

A class of 24 students is planning a field trip to a science museum. A nonrefundable deposit of $50 is required for the day-long

program, plus a charge of $4.50 per student.
Determine a linear function that models the cost, c, and the number of students, s.
Which statements about the linear function and its graph are correct? Check all that apply.
Mathematics
2 answers:
deff fn [24]3 years ago
7 0
Let c = cost, s the number of students
Then;
C=50+4.5s
For the 24 students;
C=50+4.5(24)
C=50+108
C=158
12345 [234]3 years ago
7 0
So u do 4.50*24 then add $50 which would equal 158
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Solve the inequality for x<br> 3^(6x+18)&lt;27^(3x)
Lera25 [3.4K]

Answer:

\displaystyle x > 6

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

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

<u>Algebra I</u>

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  • Factoring

<u>Algebra II</u>

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Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

<em />\displaystyle 3^{6x + 18} < 27^{3x}<em />

<em />

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Rewrite:                                                                                                             \displaystyle 3^{6x + 18} < 3^{3(3x)}
  2. Set:                                                                                                                     \displaystyle 6x + 18 < 3(3x)
  3. Factor:                                                                                                               \displaystyle 3(2x + 6) < 3(3x)
  4. [Division Property of Equality] Divide 3 on both sides:                                  \displaystyle 2x + 6 < 3x
  5. [Subtraction Property of Equality] Subtract 3x on both sides:                       \displaystyle -x + 6 < 0
  6. [Subtraction Property of Equality] Subtract 6 on both sides:                        \displaystyle -x < -6
  7. [Division Property of Equality] Divide -1 on both sides:                                 \displaystyle x > 6
8 0
3 years ago
Read 2 more answers
Find the 30th term of the following sequence. 1, 7, 13, 19,.. 174. 175. 180. 181.
shepuryov [24]
The first term a = 1, 

Common difference, d: 7 - 1 = 6.

a(n) =  a + (n -1)d,        

For 30th term.      =  1 + (30 -1)*6
 
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Answer:

Step-by-step explanation:

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