Haynes High School chartered buses for 60 students to go on a field trip. Valley High School chartered buses for 80 students.

*The total cost of the buses was the same for the two schools
*Students from Valley High School paid $5 less than students from Haynes High School.

What was the cost per student for Haynes High School?

A. $5 B. $15 C. $20 D. $40

Answers

Answer 1

Answer: $20

Step-by-step explanation:

Let 'x' be the cost of a ticket at Haynes

Let 'y' be the cost of a ticket at Valley

Since the total cost from both schools are the same, we can write it as:

[tex]60x=80y[/tex]

Since the cost of tickets at Valley was $5 less than Haynes, we can write it as:

[tex]y=x-5[/tex]

Now we have two equations, we can use to substitute into the other expression:

[tex]60x=80y[/tex]

[tex]60x=80(x-5)[/tex] we substitute y in this equation with the other equation

[tex]60x=80x-400[/tex]

[tex]-20x =-400[/tex]

[tex]x = 20[/tex]

Therefore the cost of the ticket at Haynes is $20 and the cost of the ticket at Valley is $15.


Related Questions

Need help with the answer it’s confusing

Answers

16±0.12

Step-by-step explanation:

%uncertainity=uncertainity÷measured value×100%

0.75×16=100x

x=12÷100

x=0.12

ANS;16±0.12

Logan can make $50 per pool to clean pools during the summer to earn money. He did, however, need to
purchase some equipment to get started. After cleaning 3 pools, he was still down a total of $15.
Write a linear equation to represent the amount of money Logan has made, y, after cleaning x pools.

Answers

Answer:

Step-by-step explanation:

y = 50x - 165

13. Write the equation of the line perpendicular to
5y = 3x + 25 but passing through (-4,-1)

Answers

Answer:

y = -[tex]\frac{5}{3}[/tex]x - -[tex]\frac{23}{3}[/tex]

Step-by-step explanation:

First, let's divide both sides by 5 to get the first equation into the form y = mx + b. We get y = [tex]\frac{3}{5}[/tex]x + 5. The m value, [tex]\frac{3}{5}[/tex], is the slope and the b value, 5, is the y-intercept of this line.

When a line is perpendicular to another line, the slopes must multiply to get -1. In other words, the slopes must be a negative reciprocal of each other. Since the slope of the original line is [tex]\frac{3}{5}[/tex], we know that the slope of the line perpendicular to that is -[tex]\frac{5}{3}[/tex].

Then, since we know x, y, and m of the second equation, we can substitute those three values into the equation, y = mx + b, to find the y-intercept (b).

-1 = (-[tex]\frac{5}{3}[/tex])(-4) + b

-1 = [tex]\frac{20}{3}[/tex] + b

b = -[tex]\frac{23}{3}[/tex]

After plugging in the values of m and b we calculated, we get the equation for the line perpendicular to the original line: y = -[tex]\frac{5}{3}[/tex]x -[tex]\frac{23}{3}[/tex].

What is the area of the square?



32 square units
64 square units
24 square units
16 square units

Answers

Answer is 64 square units

Answer:

64 square units

Step-by-step explanation:

All you have to do is multiply 8 by 8 to get 64.

Complete the table of values for x-y=6
On the grid, draw x+y=6

Answers

Answer:

couldnt draw sorry but heres the answers for a

Step-by-step explanation:

for x = -2

x+y= 6

-2+8=6

so y=8

for x=-1 do the same and y= 7

for x =0 y=6

for x=1 y=5

for x=2 y=4

for x=3 y=3

what are all the roots of the function f(x)= x^3+3x^2-x-3

Answers

Answer:

\mathrm{Domain\:of\:}\:x^3+3x^2-x-3\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}

Step-by-step explanation:

help please!!!!! I need it ​

Answers

Answer:

it is 7x-4

Step-by-step explanation:

The Kicking Cacti and the Sprinting Stingrays met in their town's annual kickball
championship this year. They were so evenly matched that the game lasted 11 innings! The
Stingrays had 3 pitchers, and each of them pitched for the same number of innings.
How long did each of the pitchers for the Stingrays pitch?
Write your answer as a proper fraction or mixed number.
innings

Answers

Using proportions, it is found that each of the pitchers for the Stingrays pitched for [tex]\mathbf{\frac{11}{3} = 3\frac{2}{3}}[/tex] innings.

This question is solved by proportions, using a rule of three.In total, the Stingrays pitched 11 innings, with 3 pitchers. Each pitcher pitched the same amount of innings, hence, 1 pitcher pitched x innings.

The rule of three is:

3 pitchers - 11 innings

1 pitcher - x innings

Applying cross multiplication:

[tex]3x = 11[/tex]

[tex]x = \frac{11}{3}[/tex]

11 divided by 3 has result 3 with remainder 2, hence, also considering the answer as a mixed number:

Each of the pitchers for the Stingrays pitched for [tex]\mathbf{\frac{11}{3} = 3\frac{2}{3}}[/tex] innings.

You can learn more about proportions at https://brainly.com/question/24372153

Given that D, E, and F are the midpoints of their respective sides, and AC = 24, what’s the length of DE¯¯¯¯¯¯¯¯?

An image of a triangle ABC. The midpoint of AB is labeled D, the midpoint of AC is labeled F, and the midpoint of BC is labeled E. Midsegments DE, EF, and FD are drawn. AC is labeled 24.

Question options:

2 units


6 units


12 units


4 units

Answers

Answer:

DE = 12

Step-by-step explanation:

Consider Δ ABC

A segment joining the midpoints of 2 sides of a triangle is half the length of the third side.

D and E are the midpoints of 2 sides of the triangle, then

DE = [tex]\frac{1}{2}[/tex] AC = [tex]\frac{1}{2}[/tex] × 24 = 12

(−7c+8d)0.6

khan academy pls help.

Answers

Answer:

[tex]\sf -4.2c+4.8d[/tex]

Step-by-step explanation:

[tex]\sf \left(-7c+8d\right)\cdot \:0.6[/tex]

[tex]\sf 0.6\left(-7c+8d\right)[/tex]

Apply distributive property

[tex]\sf 0.6\left(-7c\right)+0.6\times \:8d[/tex]

[tex]\sf -4.2c+4.8d[/tex]

Have a good day!

hlo math genius plz help no spam !!! (*°*°)
the area of a rectangle field 1800 m2 .If the ratio of length and breadth is 5:4, find itz perimeter​

Answers

Let

Length=5xBreadth=4x

ATQ

[tex]\\ \sf{:}\longrightarrow Area=1800[/tex]

[tex]\\ \sf{:}\longrightarrow Length(Breadth)=1800[/tex]

[tex]\\ \sf{:}\longrightarrow 5x(4x)=1800[/tex]

[tex]\\ \sf{:}\longrightarrow 20x^2=1800[/tex]

[tex]\\ \sf{:}\longrightarrow x^2=900[/tex]

[tex]\\ \sf{:}\longrightarrow x=30[/tex]

Length=L=5(30)=150mBreadth=B=4(30)=120m

[tex]\\ \sf{:}\longrightarrow Perimeter=2(L+B)[/tex]

[tex]\\ \sf{:}\longrightarrow Perimeter=2(150+120)[/tex]

[tex]\\ \sf{:}\longrightarrow Perimeter=2(270)[/tex]

[tex]\\ \sf{:}\longrightarrow Perimeter=540m[/tex]

What is the approximate value of q in the equation below? q log Subscript 2 Baseline 6 = 2 q 2 â€""1. 613 â€""1. 522 0. 585 3. 79.

Answers

The approximate value of q in the equation is [tex]0.774[/tex]

The equation is given as:

[tex]q\log_2(6) = 2[/tex]

Divide both sides of the equation by [tex]\log_2(6)[/tex].

So, we have:

[tex]q= \frac{2}{\log_2(6) }[/tex]

Determine log(6) base 2

[tex]q= \frac{2}{2.585}[/tex]

Divide 2 by 2.585

[tex]q= 0.774[/tex]

Hence, the approximate value of q in the equation is [tex]0.774[/tex]

Read more about logarithmic equations at:

https://brainly.com/question/11897620

Which sentence elaborates Akhenaton’s changes to Egyptian religion?

Answers

Answer:

sentences 3,4, and 5 elaborate on the changes but since only 4 is a possible answer it must be sentence 4.

Answer: Akhenaton dedicated that only the sun god Aten would be worshiped in Egypt.

Step-by-step explanation:

what is the number of terms for 1000z + 800y​

Answers

Answer:

2 terms

Step-by-step explanation:

hope this helps! :D

have a MIRACULOUS day!! <3

What is the slope for these cordinates


(-8,11) , (17,4)

Answers

Answer:

[tex]\displaystyle m = \frac{-7}{25}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinate Planes

Coordinates (x, y)

Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Identify.

Point (-8, 11)

Point (17, 4)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

Substitute in points [Slope Formula]:                                                              [tex]\displaystyle m = \frac{4 - 11}{17 - -8}[/tex][Order of Operations] Evaluate:                                                                      [tex]\displaystyle m = \frac{-7}{25}[/tex]

[tex]\huge{\purple{\underline{\underline{\bf{\pink{ANSWER:-}}}}}}[/tex]

We've been asked to find slope of the following coordinates which are (-8,11) and (17,4).

The standard formula to calculate slope is given by,

[tex]:\implies\footnotesize\rm{Slope = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]

[tex]:\implies\footnotesize\rm{Slope = \frac{4 - 11}{17 - ( - 8)} }[/tex]

[tex]:\implies\footnotesize\rm{Slope = \frac{ - 7}{17 + 8} }[/tex]

[tex]:\implies\footnotesize\rm{Slope = \frac{ - 7}{25} }[/tex]

The slope is -7/25.

PLEASE HELP ME

A rectangular plot of land is 90 ft long and 105 ft wide. On a map, the length is 3.6 in. Identify the width on the map.

Answers

Answer:

4.2 in

Step-by-step explanation:

90÷3.6 = 25

The plot of land is 25 times bigger than the map's scale. You have to divide 105 by 25 to get the same scale as the length (3.6 in.)

105÷25 = 4.2

Please give brainliest if that helped at all!

4.2 in I agree with you

The hypotenuse of a right triangle measures 16 cm and one of its legs measures 11 cm. Find the measure of the other leg.

Answers

Answer:

The answer is 11.6 cm

Step-by-step explanation:

The equation of a right triangle is a^2+b^2=c^2 (a and b being its legs and c its hypothenuse.)

Now we must input 16 cm into c and 11 cm into either a or b.

a^2+11^2=16^2 which is equal to a^2+121=256.

subtract 121 from both sides to get a^2 by itself

a^2+(121-121)=(256-121)

a^2=135

to get "a" by itself, we must find the square root of 135.

√a^2=√135

a=11.6

graph -1,-1 on this graph​

Answers

Answer:

so that's how you plot their intersection

Help me pleaseeeeeeeeeeeeeee

Answers

The formula to find the volume of a cube is:

volume= a^3

OR

volume= a*a*a

(a stands for the side length)

The way you would write it is:

V=2.8^3

Then you solve.

You would get 21.952

But since you need to round to the tenth place it would be:

22

Hope this helps! :)

7.2 divided by 450 !!

Answers

Answer:

62.5

Step-by-step explanation:

ALGEBRA
GIVE THE EXPRSSION FOLLOWING CASE
1. Y IS MULTIPLIED BY -8 AND THEN 5 IS ADDED TO THE RESULT

Answers

Is there a picture that I can see so I can hopefully help you out?

If f(x) = 1 - X, which value is equivalent to Ol?
O o
1
2
V-1

Answers

The answer to your question is 1

Is Helena correct? If so, explain how she can tell that the diagram represents if she is not correct,
explain why not

Answers

Answer:

yes it she is

Step-by-step explanation:

Plz can someone help me with this problem thank you

Answers

Step-by-step explanation:

sorry ..i dont know the answer for this question

Could someone help please

Answers

Step-by-step explanation:

1. x/3-2=6

x-6=18

x=18+6

x=24

2. x/5+1=5

x+5=25

x=25-5

x=20

Answer:

x = 24 , x = 20

Step-by-step explanation:

(a)

[tex]\frac{x}{3}[/tex] - 2 = 6 ( add 2 to both sides )

[tex]\frac{x}{3}[/tex] = 8 ( multiply both sides by 3 to clear the fraction )

x = 24

(b)

[tex]\frac{x}{5}[/tex] + 1 = 5 ( subtract 1 from both sides )

[tex]\frac{x}{5}[/tex] = 4 ( multiply both sides by 5 to clear the fraction )

x = 20

Anyone know this? please help and Thank you very much!!!

Answers

[tex](9+7i)(6+3i)\\\\=54+27i + 42i + 21i^2\\\\=54+69i -21~~~;[i^2 =-1]\\\\=33+69i[/tex]

How many 1/5 are in 3 1/2?

Answers

Answer:

17 1/2

Step-by-step explanation:

3 1/2 / 1/5=17 1/2

this is the next question. Solve: 8( 4 - 2^{6} ÷ 4)

Answers

8(4-2^6/4)
8(4-64/4)
8(4-16)
8(-11)
-88

Hey there!

8( 4 - 2^{6} ÷ 4)

= 8( 4 - 2^6 ÷ 4)

2^6

= 2 * 2 * 2 * 2 * 2 * 2

= 4 * 4 * 4

= 16 * 4

= 64

= 8(4 - 64 ÷ 4)

= 8(4) + 8(-16)

= 32 - 128

= -96

Therefore, your answer is: -96

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Which number is equivalent to 2^−5⋅ 3 ⋅ 2^2 ⋅ 3^3?

A. 648
B. 216
C. 81/8
D. 27/8

Answers

[tex]2^{-5} \cdot 3 \cdot 2^2 \cdot 3^3\\\\=2^{-5 +2} \cdot 3^{1+3}\\\\=2^{-3} \cdot 3^4\\\\=\dfrac{3^4}{2^3}\\\\=\dfrac{81}{8}\\\\\\\text{So, the answer is C.}[/tex]


The sum of two numbers is 20. One number is 3 times the other number. Find the two numbers, show your work

Answers

Answer:

5 and 15

Step-by-step explanation:

20 = 3x+x

Answer: The smallest number is 20, and the largest number is 27. (27 - 20) + 1 = 8. Eight numbers make 4 pairs, and the sum of each pair is 47. 4 x 47 = 188. The sum of the numbers from 20 to 27 is 188.

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