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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

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Melissa is 29 meters below the surface. After swimming 12 minutes she rises upward 15 meters. What is her final depth?
pav-90 [236]

Answer:

The final depth of Melissa is 14 meters below the surface

Step-by-step explanation:

In this kind of problems, involving directions, etc, usually one position is the positive direction and the other position is the negative direction.

In our problem, we suppose that the surface is the positivo zero, above the surface is the positive position(positive depth) and below the surface is the negative directions(negative depth).

The problem states that Melissa is 29 meters below the surface. So, her initial position is 29 meters in the negative direction, so it is equal to -29.

Then, the problem states that Melissa rises upward 15 meters. Upward is the positive direction, so she moved to the positive direction. It means that we are going to do -29+15 = -14 meters.

It means that the final depth of Melissa is 14 meters below the surface

6 0
3 years ago
Martin throws a ball straight up in the air. the equation h(t) = -16t^2 + 40t + 5 gives the height of the ball, in feet, t secon
Lisa [10]

Answer:

2.62 seconds

Step-by-step explanation:

Let

t ----> the time in seconds

h(t) ----> he height of the ball, in feet

we have

h(t)=-16t^2+40t+5

we know that

When the ball hits the ground, the height is equal to zero

so

-16t^2+40t+5=0

The formula to solve a quadratic equation of the form

at^{2} +bt+c=0

is equal to

t=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

-16t^2+40t+5=0

so

a=-16\\b=40\\c=5

substitute in the formula

t=\frac{-40\pm\sqrt{40^{2}-4(-16)(5)}} {2(-16)}

t=\frac{-40\pm\sqrt{1,920}} {-32}

t=\frac{-40+\sqrt{1,920}} {-32}=-0.12\ sec

t=\frac{-40-\sqrt{1,920}} {-32}=2.62\ sec

therefore

The solution  is t=2.62 seconds

4 0
3 years ago
Find the difference of 259.63 and 154.21
Ne4ueva [31]

Answer:

105.42

Step-by-step explanation:

       

       259.63

        <u>154.21</u>

         105.42

3 0
3 years ago
How do i do this- my brain has ✨evaporated✨
worty [1.4K]

Answer:

lol

Step-by-step explanation:

im not even sure try using google

4 0
2 years ago
An electrician charges a base fee of $65 plus $40 for each hour of work. The minimum the electrician
Mashutka [201]

Answer:

DONE

Step-by-step explanation:

HE CHARGES $145 PER HOUR

1 HOUR=$145

2 HOUR= $145*2= $290

3 HOUR= $145*3= $435

4 HOUR= $145*4=$580

3 0
3 years ago
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