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
Answers
Answer:
The minimum cost for the transportation for the field trip is $1700
Step-by-step explanation:
Let x be the no. of large buses and y be the no. of small buses
Number of students in large bus = 60
Number of students in x large buses = 60x
Cost of 1 large bus =$300
Cost of x large buses = 300x
Number of students in small bus = 45
Number of students in y small buses = 45y
Cost of 1 small bus =$200
Cost of y small buses = 200y
Cost = 300x+200y
We are given that A school district needs to arrange transportation for at least 360 students
[tex]60x+45y \geq 360[/tex]
The district only has chaperones for, at most, seven buses.
[tex]x+y \leq 7[/tex]
Plot the lines on graph
[tex]60x+45y \geq 360[/tex] --- Black region
[tex]x+y \leq 7[/tex] --- Red region
Feasible points :
At(3,4)
Cost = 300x+200y=300(3)+200(4)=1700
At(7,0)
Cost = 300x+200y=300(7)+200(0)=2100
At(6,0)
Cost = 300x+200y=300(6)+200(0)=1800
So, The minimum cost for the transportation for the field trip is $1700
Answer:
1700
Step-by-step explanation:
2020 edge
Related Questions
(14+13n+3n^3)+(2+4n+9n^3)
Answers
Answer:
=12n3+17n+16
i hope this helps :)
12-3.85
Help lol please
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Answer:
The answer is 8.15
How is online school going so far?
Answers
If you are writing an equivalent expression for 23 • 24, how many times would you write 2 as a factor?
Answers
Answer:
1-100
Step-by-step explanation:
The number of times you write 2 as a factor of 552 is 3 times.
What is an equivalent expression?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.
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Please help me I’m struggling
Answers
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!
Simplify the expression (x^2+3x-28)/(x^2+10x+ 21). Show your work.
NOTE: Must show your factoring work using either the big X strategy covered in class, or the quadratic formula method. Must show how you get factors. Not just give me factors.
Answers
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
if it takes joan 10 weeks to make 2 dollhouses how long will it take her to make 15 dollhouses
Answers
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
Someone give me some new artists/people to listen to
Answers
Answer:
Lil uzi,polo g, drake, future, gunna, cochise,
Step-by-step explanation:
Just ignore ABCD but can someone help me with E AND G plzzz
Answers
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]
A sailor is 30m 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. How far in front of the boat is the orca?
Answers
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.
Please help me with is question
Answers
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.
At the season finale, you present the winner of Canadian Superstar with a recording-and-tour contract. The contract states that the winner will be paid $5000 per month while on tour plus $2 per CD sold. Rn Did You Know? A) Vrite an equation that relates total earnings in terms of the number of months, m, on tour and the number, n, of CDs sold. In March 2003, Dark Side of the Moon, by Pink Floyd, achieved double diamond status in Canada for selling over 2000000 units. B) How much will the winner earn after the first month if 500 CDs are sold? C) Suppose after the third month on tour the new recording artist has earned a total of $74 000. How many GDs were sold? 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?
Answers
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
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)
Answers
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)
What value of x is in the solution set of 9(2x + 1) < 9x – 18?
-4
-3
-2
-1
Answers
Answer:
c = -3
Step-by-step explanation:
at Als pizza they have the expo pizza, which is a 24- inch cheese pizza that costs 17.50. Each topping for the pizza costs 2.35. you order a pizza and get charged 29.25
How many toppings were on the pizza?
A. 6
B. 10
C. 3
D. 5
Answers
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 :)
L.B. Johnson Middle School held a track and field event during the school year. The chess club sold various drink and snack items for the participants and the audience. All together, they sold items 486that totaled .$2,673a.If the chess club sold each item for the same price, calculate the price of each item.
Answers
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
The graph shows the number of hours that Tammy spends typing for work, x, and the amount of pay that she earns, y.
A graph titled Tammy's Pay with 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).
What does the y-intercept represent?
Answers
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).
How to find what the y-intercept represents?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
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Answer:
Answer is A
Step-by-step explanation:
There exists a similarity transformation that maps ABC to A'B'C. The measure of the measure of
Answers
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'
Which graph shows a system with no solutions? Graph A Graph B Graph C y= 2r-1 2y 4x-2 A. Graph C OB. Graph B C. Graph A
Answers
Answer:
graph b
Step-by-step explanation:
I start at 5,6 and move 4 units down what will i end up with
Answers
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)
3.f(-4)-3.g(-2) please
Answers
Step-by-step explanation:
3.f(-4)-3.g(-2)
3 [f(-4) - g(-2)]
The formula for profit is
P = R - C.
a. Solve the formula for R.
b. Use the new formula to find the value of R given that
P = $350 and C = $520.
Answers
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
Find the value of y. images attached.
Answers
Answer:
The answer is option DStep-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
18.61Hope this is helps you
Force is a term that means...
O movement around a center point - like throwing
O
strength used in an action - like lifting weights
Ounchanging over time - like balancing
on
O speed over time - like running
>
MUSEU
Answers
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.
2/ 6 dividing by 1 /3
Answers
Answer:
1/9
Step-by-step explanation:
I hope this help.
simplify the expression (5x^7)^2
Answers
Answer:
25x^14
Step-by-step explanation:
PLEASE ANSWER WILL GIVE BRAINLIEST!!!
What does a correlation coefficient of 0.76between two assets indicate?
Only one of the assets is profitable.
As one asset increases, the other decreases.
The two assets are weakly correlated.
The two assets are highly correlated.
Answers
The person who answers these three questions will get the brianlist
Answers
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:
PLEASE HELP!
IMAGE DOWN BELOW!
Answers
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
If h(x) = 5 + x and (x) -
, which expression is equivalent to (kºn)(x)?
Answers
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 ! :)