A school district needs to arrange transportation for at least 360 students for a field trip. The district can use large buses or small buses. The large buses hold 60 students each and have an operating expense of $300 for the day. The small buses hold 45 students each and have an operating expense of $200 for the day. The district only has chaperones for, at most, seven buses. What is the minimum cost for the transportation for the field trip if each bus has chaperones? $1,400 $1,600 $1,700 $1,800

Given :

A sailor is 30 m above the water in the crow's nest on a sailboat.

The sailor encounters an orca surface at an angle of depression of 15 degrees.

The crows nest is 20 m horizontally from the bow (front) of the boat.

To Find :

How far in front of the boat is the orca.

Solution :

Let, distance of boat front from the crow's nest is x.

So,

[tex]\dfrac{30}{20+x}=tan \ 15^{\circ}\\\\x=\dfrac{30}{tan \ 15^{\circ}}-20\\\\x=111.94-20\\\\x=91.94\ m[/tex]

Hence, this is the required solution.

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Winner is paid :

Monthly pay while on tour = $5000

Pay per CD sold =. $2

A) Equation which relates total earning in terms of number of months 'm' while on tour and the number 'n' of CD's sold.

(Monthly pay * number of months) + (pay per CD * number of CD's)

Earning = 5000m + 2n

B) How much will the winner earn after the first month if 500 CDs are sold?

m = 1, n = 500

5000(1) + 2(500) = $6000

C) Suppose after the third month on tour the new recording artist has earned a total of $74 000. How many GDs were sold?

m = 3

74000 = 5000(3) + 2n

74000 = 15000 + 2n

74000 - 15000 = 2n

59000 = 2n

n = 59000 / 2

n = 29500 CD's

D) In Canada, a record album or CD achieves gold status once it seLls 50 000 units. How much will the artist make if the CD goes gold after 6 months of touring?

n = Gold = 50000 ; m = 6

5000(6) + 2(50000)

30000 + 100000 = 130,000

Answer:

[tex]due \: to \: vertical \: opposite \: angel \: \\ 78 = x - 32 \\ 78 + 32 = x \\ 110 = x \\ \\ ....................................... \\ 2h + 44 = 126 \\ 2h = 126 - 44 \\ 2h = 82 \\ h = 41[/tex]

Answer:

1/(5+x)

Step-by-step explanation:

The explanation for this is your just substituting 5+x for the x in the 1/x

Hope this helps ! :)

Answer:

25x^14

Step-by-step explanation:

Answer:

[tex]{1.8 \times 10}^{10} \: opton \: b. \: is \: correct[/tex]

Step-by-step explanation:

[tex] {1.5 \times 10}^{6} \times 12000 = \\ {1.5 \times 10}^{6} \times {1.2\times 10}^{4} = \\ {1.8 \times 10}^{10}[/tex]

Answer: B

Step-by-step explanation:

Keep writing the equation until you get to lowest terms.

[tex]15[/tex] × [tex]10^{6}[/tex] × [tex]12,000[/tex] =

[tex]15[/tex] × [tex]10^{2}[/tex] × [tex]1.2[/tex] × [tex]10^{4}[/tex] =

[tex]1.8[/tex] × [tex]10^{10}[/tex]

The answer is option B.

Answer:

a) R=P+C

b) $870

Step-by-step explanation:

a)

since P=R-C we can do the following to solve the equation for R:

P=R-C

P+C=R-C+C (add C to both sides to get R by itself)

P+C=R

b) P=350  C=520

since R=P+C,

R=350+520

R=870

Answer:

Use the new formula to find the value of R given that

Answer:

=12n3+17n+16

i hope this helps :)

Answer:

75 weeks

Step-by-step explanation:

We can write a ratio to solve

10 weeks       x weeks

--------------- = ---------------

2 hours          15 houses

Using cross products

10 * 15 = 2 * x

150 = 2x

Divide by 2

150/2 = 2x/2

75 = x

75 weeks

Answer:

Lil uzi,polo g, drake, future, gunna, cochise,

Step-by-step explanation:

Answer:

graph b

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since it's a right angled triangle we can use trigonometric ratios to find the value of y

To find the value of y we use tan

[tex] \tan(28) = \frac{y}{35} \\ y = 35 \tan(28) \\ y = 18.6098301...[/tex]

We have the final answer as

Hope this is helps you

Answer:  The answer for 1. is B For 2 its c and for 3 its D

also I LOVE MY HERO ACEDAMEIA

Step-by-step explanation:

Answer:

Step-by-step explanation:               For any triangle, the angles add to 180 degrees

A+B+C = 180

68+46+C = 180

114+C = 180

C+114 = 180

C+114-114 = 180-114

C = 66

Angle C is 66 degrees

Angle C' is 66 degrees

The triangles ABC and A'B'C' are similar, so angle C = angle C'

Answer:

1-100

Step-by-step explanation:

The number of times you write 2 as a factor of 552 is 3 times.

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The given numerical expression is 23·24.

Here, equivalent expression is 552

Factor of 552 is

2×2×2×3×23

Therefore, the number of times you write 2 as a factor of 552 is 3 times.

To learn more about an equivalent expression visit:

https://brainly.com/question/28170201.

#SPJ2

The y-intercept represents "How much Tammy is getting paid for each hour she works".

Given that the graph shows the number of hours that Tammy spends typing for work, x, and the amount of pay that she earns, y.

And, a graph titled Tammy's Pay with a number of hours on the x-axis and pay in dollars on the y-axis. A line goes through points (2, 18) and (8, 42).

If y, is the amount she gets paid then the line on the graph shows the ratio of how much she gets paid for each hour of work.

Learn more about y-intercept on: https://brainly.com/question/16009543

#SPJ2

Answer:

Answer is A

Step-by-step explanation:

Answer:

C. (3,20)

Step-by-step explanation:

Answer:(3,20)

Step-by-step explanation:

Alvin is heating a solution in his chemistry lab. The temperature of the solution starts at 14°C. He turns on the bumer and finds that the solutions temperature increases by 2C every minute. This graph shows the temperature change 30 20 Time (minutes) Which point is on his graph? A. (3,20) B. (5,21) C. (22,4) D. (1,14)

Step-by-step explanation:

3.f(-4)-3.g(-2)

3 [f(-4) - g(-2)]

Answer:

The answer is 8.15

Answer:

$5.50

Step-by-step explanation:

L.B Johnson middle school held a track and field event

The chess club sold different drinks and snack item for both the audience and participants

They sold 486 items at a total of $2,673

Therefore the price of each item can be calculated as follows

= 2673/486

= 5.50

Hence the price of each item is $5.50

Answer:

(x-3) (x-7)

Step-by-step explanation:

The first term is,  x2  its coefficient is  1 .

The middle term is,  -10x  its coefficient is  -10 .

The last term, "the constant", is  +21  

Step-1 : Multiply the coefficient of the first term by the constant   1 • 21 = 21  

Step-2 : Find two factors of  21  whose sum equals the coefficient of the middle term, which is   -10 .

     -21    +    -1    =    -22  

     -7    +    -3    =    -10    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -7  and  -3  

                    x2 - 7x - 3x - 21

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-7)

             Add up the last 2 terms, pulling out common factors :

                   3 • (x-7)

Step-5 : Add up the four terms of step 4 :

                   (x-3)  •  (x-7)

            Which is the desired factorization

Answer:

$.80 or $0.80

Step-by-step explanation:

$4 = 5 apples so u divided that 4 divided 5 gives you .80

so answer is 80 cents

Answer:

$0.8 or $ .8

Step-by-step explanation:

Hopefully this helps you!

Answer:

1. 11t

2.7w+28

3. 2c+11

4. 8n

5. 10r+15

6. 24−8g

7. 17d−9

8. 8g+7z

9. 23b

10. 2rs+1

11. 9f+9g

12. 4x+y

13. 21a+14

14. 21a+14

15. 6−3k

16. 18n+36

17. 9s+3t

18. 8a−12b

19. 11m+n

20. 2+6z

21. 8x+6y

22. 7hg−7

23. 4st+5

24. 2r+17

25. 7w+6

26. 3(c+2)

27. 8f−4g

28. 2+8q+3r

Step-by-step explanation:

there you go, sorry it took so long

Answer:

1/9

Step-by-step explanation:

I hope this help.

Answer:

D

Step-by-step explanation:

The first step is to subtract 29.25 from 17.50

You get 11.75

Then divide 11.75 to 2.35

You get 5.

The reason you do these steps is because,

since you paid 17.50 for the pizza the rest is toppings so...

so you subtract from the total to see how much the toppings were worth in total...

you divide 2.35 from that to show how many toppings there would be

Answer:

D. 5

Step-by-step explanation:

Find the difference between the initial cost (17.50) and the final cost (29.25) by subtracting.

You should get $11.75 which represents how much he paid for toppings. It gives the value of each topping at $2.35 so now our last step is to divide $11.75 by $2.35. The answer is a perfect 5.

Comment if you need more help :)

Answer:

5,2

Step-by-step explanation:

since you're moving down the y-axis you will subtract 4 from 6 because 6 is on the y-axis

5 stays the same since you're not moving on the x-axis

(5,2)

Answer: strength used in an action - like lifting weights

Step-by-step explanation:

Force brings about the change in the motion or velocity of a particular object.

Force can be either a push or a pull. For example, when an individual goes to the gym and lifts a weight, the strength applied can also be referred to as a force as it causes a change in the position of the weight.

Answer:

c = -3

Step-by-step explanation: