36. A group of 30 students from the senior class
charters a bus to an amusement park. The total
amount they spend on the bus and admission
to the park for each student is $1,770.
A group of 50 students from the junior class
also go to the amusement park, but they
require two buses. If the group from the junior
class spent $3,190 in total, how much does it
cost to charter one bus?
LESSON 4-3 Solving Systems of

Answers

Answer 1

I got $720 because i did x + 30y = 1770, and then 2x + 50y = 3190, 5x + 150y = 8850, 6x + 150y = 9570 and lastly x = 720.

Answer 2

The required cost of one charter bus would be 720 dollars.

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Let's assume that cost to charter one bus would be x and the spend on the student would be y

According to the given situation, we can write the equations as

x + 30y = 1,770   ....(i)

2x + 50y = 3,190 or

x + 25y = 1,595 .....(ii)

Subtracting equation (ii) from equation (i), and solving for y

x + 30y - (x + 25y) = 1,770 - 1,595

5y = 175

y = 35

Substitute the value of y= 35 in the equation (i), and solve for x

x + 30(35) = 1,770

x + 1,050 = 1,770

x = 1,770 - 1,050

x = 720

Therefore, the cost of one charter bus would be 720 dollars.

Learn more about the equation here:

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Related Questions

Question 2
11 + 5x = 5x + 20

Answers

Answer:

11+5x=5x+20

We move all terms to the left:

11+5x-(5x+20)=0

We get rid of parentheses

5x-5x-20+11=0

We add all the numbers together, and all the variables

-9!=0

There is no solution for this equation

Step-by-step explanation:

I saw it from Google

The quotient of a number and -5 has a result of 2. What is the number?

N = ?

Answers

Answer:

-5 × 2 = -10

n ÷ -5 = 2

-10 ÷ -5 = 2

n = -10

Please explain how you got the answer. Will mark Brainliest if correct.

A:-56
B:56
C:-48
D:48

Answers

Answer:

Hi there!

Your answer is:

A: -56

Step-by-step explanation:

-14=1/4 X

Solve for x!

Multiply both sides by the inverse of 1/4, which is 4! (1/4*4=1)

-14=1/4x

*4     *4

-56 = 1x

ALSO! Check your work!

-14= 1/4(-56) ??????

-14 = -14 YES

Your answer is A: -56

-14=1/4 X

Multiply both sides with the inverse of one over four (1/4*4=1)

-14=1/4x

*4     *4

-56 = 1x

Help needed ASAP will give brainliest and 5 stars rate :)

Answers

Answer:

30km/h

Step-by-step explanation:

takes 4 hours to go 120km so 120/4=30 so they travel 30 km in one hour

URGENT URGENT URGENT URGENT URGENT
The measure of two angles are (2x + 12)o and (5x − 9)o.
What is the value of x if these angles are congruent?
please dont answer if you dont know the answer

Answers

Answer:

x=7

Step-by-step explanation:

To set up for this answer, we need to set it up as an equation: 2x+12=5x-9.

get the xs on one side and the whole numbers on the other.

that leaves you with 21=3x.

divide by 3 on both sides to get the answer of x=7

I think the value of x for these two angles is 7

The probabilty of it raining on a given day is 3/8 what is the probabilty of it not raining?

Answers

Answer:

5/8

Step-by-step explanation:

If 3/8 IS raining, then the remaining 8ths is NOT raining. 8 - 3 = 5. So, 5/8 is NOT raining.

I hope this helps!

Answer:

5/8

Step-by-step explanation:

To find the probability of it not raining, subtract 3/8 from 1.

1 - 3/8

= 5/8

Since the probability of it raining is 3/8, this must mean that during the rest of the time, it will not rain.

So, the probability of it not raining is 5/8

if you answer right i’ll give you the brainliest

Answers

Answer: 3 and 4 are the answers

A type of fish for your aquarium costs $4 each. You can spend at most $36. How many of these fish
can you buy?

Answers

Answer:

9 fish

Step-by-step explanation:

You can buy 9 fish to achieve a total amount of $36 .

What is −20÷4/5?please help me

−25

−16

−1/16

−1/25

Answers

Answer:

-25

Step-by-step explanation:

Simplify the expression. 1.7 – 2.7 – 1.34 + 4.9 – 1.48
please explain I'm lost

Answers

Answer:

Step-by-step explanation:

1.7 - 2.7 - 1.34 + 4.9 - 1.48

First we can group the positive and negative numbers

1.7 + 4.9 - 2.7 - 1.34 - 1.48

add the positive numbers then add the negative numbers

1.7 + 4.9 becomes 6.6

-2.7 - 1.34 - 1.48 becomes - 5.52

Now add both the answers

6.6 + (- 5.52) = 1.08

Hope this helps

Plz mark as brainliest!!!!!!!!

A square-shaped dining hall has an area of 625 feet2. Find the length of the dining hall.

Answers

Answer:

length= 625feet²/2

if u need explanation call my number

I can teach u everything on maths and physics

my no. :09013273813

what is 8+4*5+5-9+2+45-12+95463/8+34/2=?

Answers

Answer:

12008.875

Step-by-step explanation:

Describe one possible transformation the girls performed on the table in order for it to be in its new location.

Answers

Step-by-step explanation:

Where is the table at ???

Solve |P| > 3

{-3, 3}
{P|-3 3}

Answers

Point :

[tex] |x| > a[/tex]

[tex]x > a \: \: \: and \: \: \: x < - a[/tex]

_________________________________

Thus ;

[tex]P > 3 \: \: \: \: \: and \: \: \: \: \: P < - 3[/tex]

Done.....♥️♥️♥️♥️♥️

PLEASE HELP with the question 7

Answers

Answer:

4.8 miles per hour.

Step-by-step explanation:

12:2.5

2.5/2.5=1

12/2.5=4.8

five less than twice a number is greater than ten times a number

Answers

Answer:

2x - 5 > 10x

Step-by-step explanation:

Hope This Helps!

Plz mark Brainliest!

Felicia drank 5 glasses of soda throughout the day. Which choice
below is the most likely number of ounces of soda that Felicia
consumed?
10 ounces

Answers

Answer:

40 ounces

Step-by-step explanation:

if a glass is 8 ounces and she drank 5

8 x 5 = 40 ounces

It was about 40 ounces for them

Please help I don’t understand this. I suck at this. (Worth 15 points)

Answers

Answer:

0.00068

Step-by-step explanation:

By "hm" I think you mean hectometer, and 6.8 cm converted to hectometer is 0.00068. Hope this helped!

Answer:

6.8 cm is equal to 0.00068 hm

Step-by-step explanation:

Hope this helps!

answer this please please ​

Answers

Answer:

B = 3

Step-by-step explanation:

The answer has to be 3 because this is a 3-4-5 triangle. We can also you the Pythagorean theorem to solve for B.

a²+b²=c²

(4)²+b²=(5)²

16+b²=25

b²=9

√b=√9

b=3

If we make a copy of a rectangle with side lengths 2 units and 4 units using a scale factor of 3, the side lengths of the copy will be 6 units and 12 units, because 2⋅3=6 and 4⋅3=12.

Answers

Answer:

I dont see the question but If you are asking if your statement is correct, my answer is yes.

BRAINLIEST ANSWER (please answer)
UPS charges $7 for the first pound, and $0.20 for each additional pound. FedEx charges $5 for the first pound and $0.30 for each additional pound. How many pounds, p, will it take for UPS and FedEx to cost the same.

Answers

Answer:

0.20p + 7 = 0.30p + 5

Step-by-step explanation:

Itook the testEnjoy!UwU

Solve the problem using system of equations -
System 1: 15x + 5y = 2
System 2: -3x = y + 6

Answers

Answer:

It would be no solution.

A rectangle is graphed on the coordinate grid.

Which represents the equation of a side that is perpendicular to side r?
y = negative x + 5
y = negative x + 3
y = x minus 3
y = x + 3

Answers

Answer:

y = x + 3

Step-by-step explanation:

got it right on e2020

Answer:

The 4th option is correct

Step-by-step explanation:

Edge 2020

Write a recursive rule for the sequence 4,10,16,22

Answers

Answer:

[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] + 6

Step-by-step explanation:

The terms have a common difference d between consecutive terms, that is

10 - 4 = 16 - 10 = 22 - 16 = 6

To obtain the next term add 6 to the previous term ( recursive rule ), thus

[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] + 6 with a₁ = 4

Evaluate f(1/2) if f(x)=-3x^3 + 2x^2. Enter fractions using “/“

f(1/2)=

Answers

exact form: 1/8
decimal form: 0.125

There are liquids of different densities together in a container. What will happen to the liquid with the lowest density?
It will move to the bottom.
O It will move to the top.
It will bubble out as a gas.
O It will form a solid.

Answers

it will bubble out as a gas

The Lake of Distress is contaminated with flesh-eating bacteria!! The lake started with only
4 square feet infected, but as time has gone on, the bacteria are growing by a factor of 3
every hour. Assume that the relationship between hours and square feet of bacteria is
continuous.

What is the domain of the function in set notation?

Answers

Given:

The lake started with only  4 square feet infected.

The bacteria are growing by a factor of 3  every hour.

To find:

The domain for this situation.

Solution:

Initial value = 4 square feet

Growth factor = 3

Using exponential growth model, we get

[tex]y=ab^t[/tex]

where, a is initial value and b is growth factor.

So, square feet of bacteria after t hours is

[tex]y=4(3)^t[/tex]

Here, domain is set of values of time and range is square feet of bacteria.

Above equation is defined for all values of t but we know that, time cannot be negative.

As the relationship between hours and square feet of bacteria is  continuous, therefore the value of t can be any real number greater than or equal to 0.

[tex]Domain=\{t|t\in R\text{ and }t\geq 0\}[/tex].

Therefore, the domain is [tex]\{t|t\in R\text{ and }t\geq 0\}[/tex].

what is m=1/2, b=-8 as an equation

Answers

Answer:

y = 1/2x -8

Hope this helps!!

Answer:

y=1/2x-8

Step-by-step explanation:

When you are writing an equation, you will write them in the form y=mx+b. In this case, the m and the b are given to us so all we need to do is plug in the numbers and get the equation.  

Give the domain and range.

The domain is:

The range is:

Answers

Answer:

Domain: (-4,4)

Range: (-4,6)

Step-by-step explanation:

Domain is found by viewing the distance from the points on the x-axis (left to right)

Range is found by viewing the distance from the points on the y-axis (up and down)

For domain, the furthest point on the left is (-4,3). You have to take the x from that furthest to the left point (which is -4) to get the first x in the domain (x,y). The furthest point to the right is (4,6). The x on that furthest point is 4. Put them together in the (x,y) form with the furthest left being x and the furthest right being y. That makes the domain (-4,4).

Same goes for range but instead of it being left to right it will be down and up.

Highest point is (4,6)

Lowest point is (0,-4)

Take the y from each one and put them in (x,y) form, this would make your range (6,-4).

Always put the lowest one first (bottom to top)

Always put the furthest to the left first (left to right)

The (x,y) point for either domain or range will always be (lowest value, highest value). In other words, (lowest number, highest number).

What type of number is - v 81?

Answers

Answer:

rational

Step-by-step explanation:

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