The students in Ms. Douglas’ class worked so hard this year that she has planned a surprise, end-of -year trip for them to a local amusement park. The school principal allows Ms. Douglas to spend a budget of $500 on the trip.
So far she knows :
A coach bus costs $180 to transport them to and from the park.
Price of admission to the park is $15 per person

Part A : Write an inequality that describes that how many students Ms. Douglas can bring on the trip. Define the variable


Part B: Solve the inequality and explain the solution in the context o the problem

Answers

Answer 1

Answer:

Part A: 180+15x=500

B: x = 21.333 or 21

Step-by-step explanation:

So in part A since you have 500 to spend and 180 goes to the coach bus, you are left with $ 320 to spend on the students and when you divide 320 by 15, (since the tickets for admission are $15) you end up with 21.333, but since you cant bring .333 of a student on a trip you can bring 21 students, but you can buy 21.333 tickets.

Answer 2
Answer:
A) 15x+180 ≤ 500
B) 33 people can go on the trip to not exceed the budget.

Steps:

15x+180 ≤500
Subtract 180 from both sides

15x ≤ 500
Divide both sides by 15 to isolate x(make sure to flip the sign since you are multiplying)

x ≥ 33.333

Therefore, only 33 people can go on the trip to not exceed the budget.

Related Questions

Please please help i really need this..

The length of a rectangular fenced enclosure is 12 feet more than the width

If farmer Dan has 100 feet of fencing, find the dimensions of the rectangle with the largest perimeter that can be created using 100 feet of fencing.

Answers

length = 31 ft
width = 19 ft


Assume that the width of the rectangle is w.
We are given that the length is 12 ft more than the width. This means that the length of the rectangle is w + 12

The perimeter of the rectangle in this case would be:
perimeter = 2 (length + width)
perimeter = 2 (12 + w + w)
perimeter = 24 + 4w

Assume that Dan would use all 100 ft of fencing to surround the yard. This would mean that the largest perimeter is 100 ft.

Therefore:
perimeter = 24 + 4w
100 = 24 + 4w
4w = 100 - 24
4w = 76
w = 19 ft

Since we have calculated that the width of the yard is 19 ft, we can substitute to get the length as follows:
length = 12 + w
length = 12 + 19
length = 31 ft

Answer:

length = 31 ft

width = 19 ft

Step-by-step explanation:

Can I please get help? I'm not really good with density and stuff and find it confusing.

Answers

Number 1) 2g/ml

Number 2)  3.6g/ml

Number 3)  1.45g/ml

Number 4)  2.8g/ml

Number 5)  50g

Number 6) 1.5ml

Solve the question below

Answers

Answer:

she earns 7 you this bye multiplying 5 bye 140 and get 700. the divide 700 by 100. and she earn 7 dollers in commision and that gets added to her paycheck i think

Answer:

she sold for $140

she earned 5% commission

5% = 0.05

140 * 0.05 = 7

Answer: she earned $7 by commissions on her sale

Hope i could help :D

Dont be scared to ask questions if you dont uderstand.

I will mark brainliest!! What is the mean of this dot plot?

Answers

Answer:

3.25

Step-by-step explanation:

1+3+8+3+1+5+2+3= 26

26/8 = 3.25

Answer:

in this X is used to plot data

dot plot is the data representation type like in this picture

Step-by-step explanation:

Christian is helping Jay’s family build a rectangular deck in their backyard. On the blueprint, the deck is 7.5 inches long and 9 inches wide, and the given scale states that 1.5in =3ft Determine the length and width of the actual deck.

Answers

Answer:

length=15ft width=18ft

Step-by-step explanation:

7.5÷1.5=5 5×3=15

9÷1.5=6 6×3=18

Mrs. Ling baked 5 pies for a bake sale. During the morning, she sold 1 1/2 pies. During the afternoon, she sold 1 3/4

Use the information to complete the table. Each circle represents one whole pie. Drag the correct fraction models into the box. Not all of the fraction models must be used.

Answers

1 3/4 because you need to turn 1 1/2 to 1 2/4 then you add 1 2/4 + 1 3/4 which equals 2 5/4=3 1/4. Then you subtract 5- 3 1/4 = 1 3/4
hope this helps enjoy ya day

A recipe requires 1/3 cup of milk for each h1/4 cup of water. How many cups of water are needed for each cup of milk?
A. 1/12
B. 3/4
C. 11/12
D. 1 1/3

Answers

Answer:

its D

Step-by-step explanation:

Answer:

The answer would be B because you have to multiply 1/3 by 3 to get a whole cup.  Therefore, you have to multiply 1/4 by 3 also.  In this case, the answer would be 3/4.  Hope this helps

Step-by-step explanation:

Todd swam 10 laps around the pool and walked on the treadmill a total of 5.2 miles. It took him 2.3 minutes to swim each lap and 45.4 minutes to work on the treadmill. How long did it take him to swim and walk?

Answers

Answer:

Step-by-step explanation:

Was so she just wanted

Answer:

23 minutes in the pool

Step-by-step explanation:

What is the area of the following shape. Do not use units.

Answers

Answer:

70

Step-by-step explanation:

Answer:

Step-by-step explanation:

For area of  Right angle triangle ,

We use ,

Area =  1/2 * length* breadth

Area= 1/2*10*7

Area=5*7

Area= 35

Marcia is at a store with a 20% off sale. She also has a coupon for an additional 10% off the sale price.
Prove or disprove the following statement: A 20% discount on the original price of an item, followed by the use of a 10% off coupon, results in a total discount of 30%.
With explaination pls ill brainliest someone who helps.

Answers

Answer

Disprove. If there is a item that is $100 it will become $80 from the sale. and thenyou have a 10% coupon, which 10% of 80 is 8. There for the item will cost $72 which is not 30%

Plsss provide Explanation to IF you can...very confused!!

Answers

Answer:

1 rotation/circumference = 879.2/10

87.9= 2x3.14xr

= 14

Step-by-step explanation:

brainliest would be appreciated

i’m pretty sure the answer is 14

What is the y-coordinate of point W? -2.5 -1.5 1.5 2.5

Answers

Answer:

2.5 -1.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

2.5,-1.5

Can anyone help me do this. 10 pts if so

Graph y=-\dfrac{1}{3}x+5y=−
3
1

x+5y, equals, minus, start fraction, 1, divided by, 3, end fraction, x, plus, 5.

Answers

Given the equation of the graph, the slope is -1/3 and The two points in the graph are ( 0, 5 ) and ( 3, 4 ).

What is the graph of the equation?

Given the equation y = -1/3x + 5

Using the slope intercept form; y = mx + b

Hence,

Slope m is -1/3

y-intercept = ( 0, 5 )

From the equation, y = -1/3x + 5

All lines can be graphed using two points, we select two x values and plug it into the equation; 0 and 3

For x = 0

y = -1/3x + 5 = -1/3(0) + 5 = 5

For x = 3

y = -1/3x + 5 = -1/3(3) + 5 = -(3/3) + 5 = -1+5 = 4

Hence, the slope is -1/3 and The two points in the graph are ( 0, 5 ) and ( 3, 4 ).

Learn more about how to graph equations here: https://brainly.com/question/16957172

#SPJ1

Jack's father is 3 times older than jack. 5 years ago the sum of their ages was 34. How old is jack's father now?
PLS HELP ASAP!!!!

Answers

Answer:

11 years old

Step-by-step explanation:

Jack's father is 3 times older than jack. ATQ, 5 years ago the sum of their ages was 34. So, the present age of Jack is 11 years.

(Hope this helps!! Btw, I am the first to answer.)

Answer:

33

Step-by-step explanation:

Jack's father is 3x

Jack is X

(x-5)+ (3x-5)= 34

4x-10=34

4x=44

x=11

Jack's father is 3X

Jack's father is now 33

What is the sum (2/5 x + 5/8) + (1/5 x - 1/4)?

Answers

Answer:

3x+3/8

Step-by-step explanation:

see screenshot

What is -4(y-2) = 12

Answers

Answer:

y= -1

Step-by-step explanation:

-4(y-2) = 12

-4y + 8 = 12

-4y = 12 - 8

-4y = 4

-4     -4

y= -1

To check:

-4 (-1-2) = 12

-4 (-3) =12

12 = 12

Answer:

y=-1

Step-by-step explanation:

-4(y-2)=12

-4y+8=12

    -8=-8

 ------------------

  -4y = 4

Then divide -4 with positive for which gives u negative one

please help me with this

Answers

Answer:

improper fraction:10/3

mixed number: 3 1/3

Answer:

3 1/3 is the mixed number and 10/3 is the improper fraction

Step-by-step explanation:

I really hope this helps :)

What is -3x-5 = 16
I'm stuck on a simple problem

Answers

Answer:

-7

Step-by-step explanation:

-3x-5=16

-3x-5+5=16+5

-3x=21

-3x/-3=21/-3

x=-7

Answer:

x=-7

Step-by-step explanation:

-3x-5=16

Add 5.

-3x=21

Divide by -3.

x=-7

what is 6 1/5-4 1/4
please help

Answers

Answer:

2 1/12

Step-by-step explanation:

Answer: 2 1/12

Hello! I'm typing this because it said "Needs to be at least 20 characters long". Have a great day!

Can someone help me ASAP!! PLSSSSSSSSSSSSSSSSSSSSS

Answers

b=3 but might be wrong

The distance between two towns is 120 kilometers. There are approximately 8 kilometers in 5 miles.

How many miles apart are the two towns?

Answers

75 miles

8/5 = 120/x
cross multiply and complete

Can someone plz help me with this one problem plz!!!!

Answers

Step-by-step explanation:

Yeah the the answer is yess........

PLEASE HELP THANK YOU:
What is the measure of the angle that is supplementary to
a) 77° _______
a) 45° ________
a) 63° ________
a) 75° ________
Thank you so much! I appreciate it! :D

Answers

Answer:

a)13

a)45

a)27

a)15

Step-by-step explanation:

Supplementary angles add up to 180. So you must substrat all of these from 180:

180-77: 103
180-45: 135
180-63: 117
180-75: 5

cant figure this out help please

Answers

Answer:

5. is 75 and 6. is 60

Step-by-step explanation:

5. 150/2 which is the first coordinate is 75

6. 180/3 is 60

5 is 75 and 6 is 60!!

WILL MARK BRAINLIEST Which of the following represents members of the domain of the graphed function?

Answers

Answer:

D

Step-by-step explanation:

Ngl I was confused for a minute. But domain is asking for the x-values and range is asking for the y-values.

You can see the points on the graph are (-4,1), (-2,2), (0, 3), and (2,4).

Because it is asking for the domain, it is asking for the X VALUES of the points you have found above. So the answer is {-4, -2, 0, 2}

So none of those answers look quite right

The reason I picked D is because it is the only one that contains the x values we picked. The rest have numbers outside the domain, such as 3, 4, 5, etc.

The answers D [-4,0,1]

Solve the question below

Answers

The answer is $130!

Explanation:


What is the solution for this inequality?

-4g - 10 ≤ 2

OPTIONS:

1. g ≤ - 3

2. g ≥ -3

3. g ≤ 2

4. g ≥ 2

Answers

Answer:

2. g ≥ − 3

Step-by-step explanation:

Calculator :D

Answer:

-4g<=12

g>=-3

so 2 is the answer

Step-by-step explanation:

HELP!! WILL GIVE BRAINLIEST IF CORRECT!! *ABSURD ANSWERS WILL BE REPORTED*

Look at the image. Type the 2 inequalities that correspond with the lines. (Not multiple choice)

Answers

Answer:  x ≤ 9  and x > 71

or  9 ≥ x > 71  

Step-by-step explanation: I'm using 9 and 71 because the circles at the ends of the lines are just a little to the left and right of the tic marks where 10 and 70 would be.

The solid circle on the purple line indicates "less than or equal to" and the open circle on the yellow line means "greater than."

what is 22/3 ty for answering i will add as fran if anser

Answers

Answer:

22/3 = 7.33333333333

ye

it is 7 1/3 because 7 x 3 + 21 and you put the leftover numer with the fraction, 1/3 so it is

7   1/3

please answer quick for brainliest

Answers

Joan, Johnson and Richard :)
Johnson Richard hope that helpssss
Other Questions
Read the lines from the poem "Nothing Gold Can Stay." Then leaf subsides to leaf. So Eden sank to grief,What is the effect of the rhyme in these lines from the poem?It gives the poem a somber rhythm.It suggests that the rhyme is forced.It makes the poem seem like nature is unkind.It makes the poem sound monotonous.. Charli is boiling a pot of water as she prepares dinner. The temperature at which the water boils can be explained by the externalpressure andAthe amount of heat that is added to the pot of water.B. the volume of the sample of water being heated.C. the rate at which heat is added to the pot of water.Dthe strength of attractive forces among the water molecules.PLEASE ANSWER QUICKLY THIS IS DUE IN 5 MINS!! Which sentence contains a pronoun with an unclear antecedent?A.Timothy played basketball with his friends every afternoon.B.Tim and Tom went to the park together, but he had to leave early to finish his homework.C.Percy carried her stuffed animal everywhere she went.D.Lily and Stephanie went to the same school, but they were in different classes. English Senior project Click the links to open the resources below. These resources will help you complete the assignment. Once you have created your file(s) and are ready to upload your assignment, click the Add Files button below and select each file from your desktop or network folder. Upload each file separately. What 3 things drive the pressure of a gas up What is Irrational Root Theorem? Explain and give examples. Please help I need help help help help A number x increased by 6, and then sum is doubled Using the compound interest formula, the "n" is what value when compounded annually? Please help me with this!! One year ago, Lindsey deposited $250 into a savingsaccount. Her balancedeposited $250 intonow $253, Two years ago, Jennsavings account Her balance isnow $257.50. Which account has the greater simpleinterest rate? Explain, How did Roosevelts personal views about gov. spending change after the great depression How many digits are there in the Hindu-Arabic form of 44,3501019? What is included in "The Child of Urbino" but not included in the biography of Raphael?imagined dialogue between Raphael and Benedettospecific places that Raphael lived and workedfacts about Raphael's childhooddescriptions of the styles that Raphael tried to perfect What things did George Washington Carver do? Tommy went to the mall and bought a shirt for $10 and a pair of pants for $30. Their was a sales tax of 7% on his purchase. How much did he pay in total? 1. the first to answer get brainlyest if its right (06.01 LC)3^4 + 2 5 = . (Input whole numbers only.) (1 point)2. (06.01 MC)What is the value of the expression 2^2 + 4^2 22? (1 point)36816 All plants are able to complete the process of ______ which means they are able to use energy from sunlight to make food. stay positive and happy pls! stay strong as well! :D WILL MARK YALL BRAINLIST ANSWER THIS QUESTION FOR BRAINLEST AND 10 POINTS