1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
GaryK [48]
3 years ago
10

An office manager booked 61 airline tickets. He booked 8 more tickets on Airlines A than Airlines B. On Airlines​ C, he booked 5

more than twice as many tickets as on Airlines B. How many tickets did he book on each​ airline?
Mathematics
1 answer:
Setler79 [48]3 years ago
5 0

Answer:

B = 12

A =  20

C =  29

Step-by-step explanation:

A = tickets on airline A

B = A-8

C = 2B +5

Total = 61

A + B+ C = 61

Taking B = A -8 and writing in terms of A  

A = B+8

Replacing A and C in the equation A + B+ C = 61

( B+8) + B + 2B +5  = 61

Combining like terms

4B +13 = 61

Subtract 13 from each side

4B =13-13 = 61-13

4B =48

Divide by 4

4B /4 = 48/4

B = 12

A = B +8 = 12+8 = 20

C = 2B +5 = 2*12+5 = 24+5 = 29

You might be interested in
using the graphing method to solve the equation 13(0.25)^x=7 Round your answer to the nearest thousandth
netineya [11]

Answer:

x = 0.447

Step-by-step explanation:

You need to use your graphing calculator for this.

In y=, put 13(0.25)^x in Y1 and put 7 in y2. Using 2nd trace, find the intersections.

The answer I got was x = 0.447.

3 0
3 years ago
Which of the following points are solutions to the system of inequalities shown below?
Ira Lisetskai [31]
Y > 6x + 5
y < -6x + 7
(2,17)
17 > 6(2)+5 ; 17> 17 NO
(8,8)
8>6(8)+5 NO
(-2,18)
18>6(-2)+5
18>-7 YES
18< -6(-2)+7
18< 12+7 YES (-2,18) is an answer
(0,6)
6>6(0)+5
6>5 YES
6<-6(0)+7
6<7 YES (0,6) is an answer
(-2,19)
19>6(-2)+5
19>-7 NO
(2,18)
18>6(2)+5
18>17 YES
18< -6(2)+7
18< -5 NO

3 0
3 years ago
F(x)=x^2+10x-12
weqwewe [10]

Answer:

Therefore the two values required are 2.08 and -11.08.

Step-by-step explanation:

i) f(x) = x^{2} +  10x - 12 is a quadratic equation and a quadratic equation will have two roots whose values when substituted in to the given quadratic equation will give the value.

ii) The question is therefore essentially asking us to find the roots of the given quadratic equation.

This can be done by equating the given quadratic equation to zero and then solving the equation for its roots.

∴ x^{2} + 10x -12 = 0    ⇒    x  = (-10 ± \sqrt{10^{2} +(48)} ) ÷ 2                                                          

                                          = (-10 ± 12.166)÷2        =   2.08, -11.08

Therefore the two values required are 2.08 and -11.08

3 0
3 years ago
Can someone help me solve for x on number 18 and explain how you did it thank you ;)
torisob [31]

Answer:

x = 19°

Step-by-step explanation:

Given that < (6x + 1)° + < (3x + 8)° are supplementary angles whose sum = 180°

6x + 1 + 3x + 8 = 180°

Add common terms:

9x + 9 = 180°

Subtract 9 from both sides:

9x + 9 - 9 = 180° - 9

9x = 171°

Divide both sides by 9 to solve for x:

\frac{9x}{9} = \frac{171}{9}

x = 19°

8 0
3 years ago
You are one of 18 people entering a contest. What is the probability that your name will be drawn first?
telo118 [61]

Answer:

1/18 or 55.5%

Step-by-step explanation:

hope u enjoy!!! add me in the brainly list

4 0
3 years ago
Other questions:
  • A scientist uses 2.8*10^12 cells in one experiment, which is 2,000 times the number of cells she uses in a second experiment. Wr
    6·1 answer
  • 40 POINTS AND BRAINLIEST
    5·2 answers
  • 2. Solve the system of equations. Write your answer in parametric vector notation. X, +5x2 + 4x3 + 3x4 +9xs = 18 2x, +6x2 + 4x3
    13·1 answer
  • Determine the slope of the line represented by the equation: <br> 4x+9y=3
    12·1 answer
  • Ray and Max are playing a game with cards. At the end of the day Max has 5 cards. If the value of each card is -50 points, how m
    13·2 answers
  • Find the 7th term of the expansion of (3c + 2d)9.
    14·1 answer
  • Not sure how to find the answer
    11·1 answer
  • Cual es la raíz cuadarada de diez
    13·1 answer
  • PLEASE HELP ME!! I NEED HELP WITH THIS
    13·1 answer
  • What is the cost of 23.5 gallons of gas
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!