The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bus can transport 63 ​students, requires 5 ​chaperones, and costs ​$1,400 to rent. Each van can transport 9 ​students, requires 1​ chaperone, and costs ​$100 to rent. Since there are 756 students in the senior class that may be eligible to go on the​ trip, the officers must plan to accommodate at least 756 students. Since only 70 parents have volunteered to serve as​ chaperones, the officers must plan to use at most 70 chaperones. How many vehicles of each type should the officers rent in order to minimize the transportation​ costs? What are the minimal transportation​ costs?

Answers

Answer 1
Min Cost = $12,200
Number of buses needed = 7
Number of vans needed = 24

Related Questions

It costs $3.95 to print a 12 in. by 16 in. color page. A friend needs to print a poster that is twice as long and twice as wide. At this rate, how much would he expect
to pay for the poster?

Answers

Answer:

$7.90

Step-by-step explanation:

Its is double both so u double $3.95

Price is determined by total area. The area of the original page is 192. If you calculate the area of the expanded posted, it would be 24*32. Which is 768. Find the scale factor of the areas, 768/192 is 4. 4*3.95 = 15.8. The price would be 15.80$.

Ronald saves 10.00 to buy a new book. The book original price was 15 but it was on sale for 35% off with a 6% sales tax. Does he have enough money to buy the book Explain.
PLEASE DONT SAY HERE IS THE LINK OR FILE

Answers

$6.89

The book is $10. Minus the 35% discount ($10X0.35=$3.50). So the subtotal is $10-$3.50=$6.50.

Tax is 6%. So 0.06X$6.50=$0.39

The total including tax is $6.50+$0.39=$6.89

y=2x+3 y=4x+7 solve by elimination

Answers

Answer:

[tex]\displaystyle [-2, -1][/tex]

Step-by-step explanation:

To use the Elimination method, you must get rid of one pair of variables, so that one side is set to zero. So, in this case, we must get rid of [tex]\displaystyle x,[/tex]therefore we will split the second equation in negative half :

[tex]\displaystyle \left \{ {{y = 2x + 3} \atop {-\frac{1}{2}[y = 4x + 7]}} \right. \\ \\ \\ \left \{ {{y = 2x + 3} \atop {-\frac{1}{2}y = -2x - 3\frac{1}{2}}} \right. \\ \\ \frac{1}{2}y = -\frac{1}{2}; -1 = y, -2 = x \\ \\ \\ \boxed{[-2, -1]}[/tex]

I am joyous to assist you at any time.

Can the probability of an event be greater than 1

Answers

No. A probability of an even can not be greater than 1. It’s always in between 0 and 1 inclusive.

Sophie Ruth is eating a 50-gram chocolate bar which contains 30% cocoa. How many grams of cocoa is in the chocolate bar?

Answers

Answer:

15 grams of cocoa.

Step-by-step explanation:

By finding the product of 50 and 0.3 or 30%, you could find that the chocolate bar contains 15 grams of cocoa.

15 points!
Solve n = 2xy-1/zy for x

Answers

This is what I got I hope it helps

The high temperatures for the last seven days are: High Temperatures: 81, 78, 83, 89, 80, 87, 78

Find the MODE of the temperatures.

Answers

Answer: 78

Step-by-step explanation:

The mode is the number that appears the most number of times. In this case the number 78 appears twice unlike the other numbers that only appear once. Hence, 78 is the mode :)

Answer:

78

Step-by-step explanation:

The mode is the value that appears most often in a set of data. The mode of a discrete probability distribution is the value x at which its probability mass function takes its maximum value. In other words, it is the value that is most likely to be sampled.

helpp. Pleasee need answerr

Answers

Answer:

This probaly sounds a little confusing

Step-by-step explanation:

1 day = 10 laps

1 lap = 400 meters

1 km = 1000 meters

12 km = ? days

We can use this information to find out a lot that we don't know.  

HOW MANY METERS PER DAY??

In order to find the number of meters in a day, we think, "She ran 400 meters 10 times... 400 times 10... that's 4000 meters in one day."

1 day = 4000 meters (10 x 400 meters)

HOW MANY KILOMETERS PER DAY?

In order to find the number of km in a day, we can think, "One thousand is a kilo. There are 4 'one thousand's in 4000. Kali ran 4 kilometers (literally 4 thousand meters) per day.  

1 day = 4 km (4000 m / 1000)

 

From here you can solve simply by thinking "How many 4km does it take to get to 12km?"

4 x ? = 12

? = 12 / 4

? = 3

A box has a surface area of 450 cm². Its length and width are 6 and 8 respectively. What is its height?

Answers

Answer:

9.4 cm

Step-by-step explanation:

Given: Box; Length = 6 cm, Width = 8 cm, Surface area = 450 cm²

To Find: Height

Solution:

Divide the volume by the product of the length and width to calculate the height of a rectangular object.

                                                       6 × 8 = 48

                                                      450 ÷ 48 = 9.4

For this box, the rectangular object has a length of 6 cm, a width of 8 cm, and a volume of 450 cm². The product of 6 and 8 is 48, and 450 divided by 48 results in 9.4.

The height of the object is 9.4cm.

Arline's in Aplus bar always the same distance apart and they never me

Answers

Answer:

Step-by-step explanation:

sorry cannot help you

Can someone help me with this ?!

If p(x)=x^2+x+1 and Q(x)=5x^2-1, find the following

1. Q(4)
2.p(-4)
3.p(1/2)

Answers

Answer:  1. 79

2.  13

3.  7/4

Step-by-step explanation:

Q(x)=5x^2-1

Q(4)=5(4)^2-1

      =5(16)-1

      =80-1

 Q(4) = 79

p(x)=x^2+x+1

p(-4)=(-4)^2+(-4)+1

      =16-4+1

 p(-4) =13

p(x)=x^2+x+1

p(1/2)=(1/2)^2+(1/2)+1

       =1/4+1/2+1

       2+4+8/9

        =14/8

p(1/2)    =  7/4

What are the area and the circumference of the circle at the right?

Answers

Answer:

Step-by-step explanation:

LCM of 4, 6, 10, and 12

Answers

Answer:

360 is the LCM of 4,6,10 and 12

43.5% of this skeleton's body is his mermaid tail.
Write the percent as a decimal.
Type a number

Answers

You would do 43.5/100 and you would get 0.435

John is looking for an apartment in the city. He has to make decisions about these choices.

* A ground floor (G) apartment or one that is not on the ground floor (N)

* An exterior entrance (E) or an interior entrance (I)

* To buy the apartment (B) or to rent it (R)

If John selects an apartment that is not on the ground floor (N), he can only choose an interior entrance (I). Which tree diagram BEST represents his choices?

Group of answer choices
I will give brainllents

Answers

Answer:

E

Step-by-step explanation:

E

PLZZ HELP Me ASAP!!!!

Answers

Answer:

see explanation

Step-by-step explanation:

(a)

The area is calculated as length × breadth

area = 2x(2x + 6) ← distribute

       = 4x² + 12x

(b)

area = x(x + 4) ← distribute

       = x² + 4x

(c)

shaded area = 4x² + 12x - (x² + 4x)

                      = 4x² + 12x - x² - 4x ← collect like terms

                      = 3x² + 8x

help please i will mark brainliest

Answers

This is a 30 60 90 triangle. So it equals 2.

Answer:

The answer is 8.66054037 as a decimal. It's asking for a root though.

Step-by-step explanation:

The length of a skateboard is about 4 times its width. The length of Mika’s skateboard is 79 cm.
Write an equation to model this situation.
b) What is the width of Mika’s skateboard?

Answers

Answer:

About 20 - 19.75

Step-by-step explanation:

Answer:

19.75 cm

Step-by-step explanation:

Since l=4w, plug in 79 for l.

79=4w

79/4=19.75

w=19.75

please dont guess<3!!!

Answers

Answer:

I'm sorry I wont guess, I dont know

If m = 100 what is the value of q?
q = 21.344 m


A. 213.44

B. 2,134.4

C. 21,344

D. 213,440

Answers

Answer:

The Answer is gonna be C. 21,344

Answer:

B) 2134.4

hope it helps.....

Please answer fast!!!!!

Answers

Answer: the answer is

b. Triangle

in the diagram, PQRS is a parallelogram. QRT is a straight line. Based on the diagram, state the values of x,y and z.

Answers

Answer:

Step-by-step explanation:

Which of the following is a solution to the equation2/3 x + 16 = -14?

Answers

Answer:

x= -45

Step-by-step explanation:

Help please no links or I’ll report

Answers

Answer:

8x+16

Step-by-step explanation:

i used an app and its never wrong

Answer:

I hate the links too so just look up that exact question and  youll prolly get the right answer

I think the answer it gave was 8

Which statement is true about the equation

It has no solution.
It has one solution
It has two solutions.
It has infinitely many solutions.

Answers

Answer:

it has one solution which is 4

Answer:

hope this helps you......

Please help, Describe two methods that can be used to find the area of the composite figure.

Answers

A composite figure is made up of several simple geometric figures such as triangles, rectangles, squares, circles, and semicircles. To find the area of a composite figure, separate the figure into simpler shapes whose area can be found. Then add the areas together.

Area of the composite figure can be find by using additive areas method and subtractive areas method

What is Composite figure?

Composite geometric figures are made from two or more geometric figures. The composite figure below is made from parts of a rectangle and a circle

Since, Area is the quantity that expresses the extent of a region on the plane or on a curved surface.

Area of the composite figure can be find by using two methods,

Additive areas method and Subtractive areas method

In Addictive areas method

Break the composite shape into basic shapes

Find the area of the each basic shapes

Add all the areas of basic shapes together

In Subtractive areas method

Break the composite shape into basic shapes. That shape maybe larger than the composite shapes.

Find the area of the each basic shapes

Area of the composite shape will be the difference between the area of the larger shape.

Hence, the area of  the composite figure can be find by using additive areas method and subtractive areas method

Learn more about Composite figure here;

brainly.com/question/16193772

#SPJ2

Nick has an album that holds 700 compact discs. Each page of the album holds 7 compact discs. If 69​% of the album is​ empty, how many pages are filled with compact discs​?

Answers

Answer:

41

Step-by-step explanation:

each page holds 7 discs. the alb holds 700 discs. that means there are 100 pages. 69% of the pages are empty so therefore 41 pages are filled.

How do I solve this arithmetic sequence?

Answers

Answer:

The 16ᵗʰ term of this sequence is 82

Step-by-step explanation:

Here,

First Term = a₁ = 9

Common Difference = (d) = 2

Now, For 16ᵗʰ term, n = 16

aₙ = a + (n - 1)d

a₁₆ = 7 + (16 - 1) × 2

a₁₆ = 7 + 15 × 5

a₁₆ = 7 + 75

a₁₆ = 82

Thus, The 16ᵗʰ term of this sequence is 82

-TheUnknownScientist

Complete the table for the given rule.
Rule: y = 52

Answers

~Answer~

Substitute your numbers:

y = 5x

For the first one, y equals 5, so substitute 5 for y.

So, 5 = 5x.

What multiplied by 5 gives 5? The answer is 1.

So, the first one is 1.

Do the same for all the others.

So, 4 = 5x.

4 = 5(4/5)

As a decimal that equals 0.8.

For the last one, I can't tell if that is saying 2 or .2 so I'll do both.

for 2, you will do 2 = 5x and for .2, you will do .2 or 0.2 = 5x.

For 2, it would be 2/5 or 0.4.

For .2 or 0.2, it would be 0.04.

So,

x                                                             y

1                                                             5

4/5 or 0.8                                             4

0.4 if it is 2 and 0.04 if it is 0.2.        2

(looking back, I'm pretty sure it was just 2 and not .2)

I hope this is what u were looking for, if not I'm so sorry for a useless answer.  I wasn't completely sure whether I was doing it right since I haven't done these types of math problems in some time.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Please help link=report it worth 15 points and you’ll get brainiest if it right

Answers

Answer:

d) none of these lines fit the data

Answer:

This has to be D - None of the lines fit the data

B > data at the end

A > data at the beginning

C doesn't really match at all.

[tex]\mathtt{: )}[/tex]

Other Questions
Which statement best defines the term innate behavior?behavior that is taught through watching othersbehavior that is simple, untaught, and born knowingbehavior that is taught through both good and bad experiencesbehavior that is untaught but very complex hello guys,differentiate between vapourisation and evaporation The sum of 2 numbers s 1 and the diffreance is 5 what are th 2 numbers Which of the following statements is TRUE about essential questions? Use the essential question to dig deeper into a topic that is of interest to you so you gain more understanding of the topic. Write an essential question about a topic you already know a lot about to make it easier to gather information. Abstract questions such as What is the meaning of life? are good essential questions. Create an essential question that can be answered with 2 to 3 sentences so your report will be short enough. please help 1,1,1,2,2,2,2,3,4,4,5,7,8,12,14 what's the median mode and the and range for these numbers HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAPHELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP Explain how Mexico City tells its story through La Plaza de las Tres Culturas and the monuments placed around the metropolis. A person swims 11 milesdownriver in the same timethey can swim 7milesupriver. The speed of thecurrent is 4 mph, find the speed of the person in still water .Answer for brainilest and 10 points..) How was government organized in the Republic? what is your reaction to the passage aapi hate crimes bill? do you agree that it is necessary? PLS ANSWER ASAP Can someone please help me out What is bigger 1/9 or -4 HELP PLEASE WILL MARK Brainliest. 20 POINTS!! Mia's birthday party will cost $12 if she invites 4 guests. What is the maximum number of guests there can be if Mia can afford to spend a total of $15 on her birthday party? Escriba el conflicto que hubo entre Malinalxochitl y Huitzilopochtli. PLZ RESPOND AS SOON AS POSSIBLEWhat point is located at (-2, -6)a. Fb. Gc. Hd. K On tax free weekend, Alyssa bought 4 pairs of blue jeans for $109.28. The cost of the jeans is proportional to the number of pairs of jeans bought. What is the constant of proportionality in terms of dollars per pair of jeans? an oil company uses cylindrical storage tanks. each tank has a radius of 14ft and is 27ft fall. what is the volume of the tank? Chris bought a card for 35. Hegave the clerk 6 coins. What coinsdid he give the clerk?