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Alex787 [66]
3 years ago
11

A survey of 285 adults found that during the last year, 75 traveled by plane but not by train, 55 traveled by train but not by p

lane, 30 traveled by bus but not by plane or by train, 70 traveled by bus and plane, 35 traveled by all three, and 215 traveled by plane or train. How many did not travel by any of these modes of transportation
Mathematics
1 answer:
meriva3 years ago
7 0

Answer:

40

Step-by-step explanation:

Given that

Total number of adults, U = 285

Number of plane travellers, P = 75

Number of train travellers, T = 55

To find the number of people that didn't travel by any means of transportation listed in the question, then we say

Total number of adults minus number people who traveled by plane or train minus number of people who traveled by bus but not by plane or train.

This means that number of people who didn't travel by any of the three means of transportation, N =

N = U - pt - b

N = 285 - 215 - 30

N = 40

Therefore, the total number needed is 40

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For fun, if X=180 and Y=20 then what is (Y-X)x(53-33)+3,269= ???? For fun
Masja [62]

Answer:

6,469!

Step-by-step explanation:

180-20=160

53-33=20

160*20=3,200

3,269+3,200=6,469

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3 years ago
Eric sells movie tickets. Adult tickets cost $8 and children's tickets cost $5. He keeps 15% of his sales. Which expression repr
likoan [24]
The formula for the cost of the total sales is: 8a+5c where a is the number of adult tickets and c is the number of child tickers.

If he keeps 15% the formula is: 0.15(<span>8a+5c) </span>
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3 years ago
HELP ME PLEASE!! Find R and theta with the coordinates (-3,7).
Fofino [41]

Answer:

Since r is the distance from the origin to (x,y), it is the magnitude r=√x2+y2. Alternatively, from the equation (1), one can calculate directly that x2+y2=r2cos2θ+r2sin2θ=r2(cos2θ+sin2θ)=r2.

Step-by-step explanation:

7 0
3 years ago
0.5m + 6.4 = 4.9 - 0.1m
BigorU [14]
Solve for m by simplifying both sides of the equation, then isolating the variable.
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3 years ago
x^2-8x+15=0 solve the equation by completing the square. Round your solutions to the nearest hundredth, if necessary.
zaharov [31]

Answer:

x = 3, 5

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
  • Subtract Property of Equality

<u>Algebra I</u>

  • Terms/Coefficients/Degrees
  • Standard Form: ax² + bx + c = 0
  • Multiple Roots
  • Factoring
  • Completing the Square: -b/(2a)

Step-by-step explanation:

<u>Step 1: Define</u>

x² - 8x + 15 = 0

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

  1. [Subtraction Property of Equality] Subtract 15 on both sides:                     x² - 8x = -15
  2. Complete the Square [Addition Property of Equality]:                                 x² - 8x + 16 = -15 + 16
  3. [Complete the Square] Simplify:                                                                   (x - 4)² = 1
  4. [Equality Property] Square root both sides:                                                  x - 4 = ±1
  5. [Addition Property of Equality] Add 4 on both sides:                                   x = 4 ± 1
  6. Evaluate:                                                                                                          x = 3, 5
7 0
3 years ago
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