The state fair is a popular field trip destination. This year the senior class at Lakota West and Lakota East both planned trips there. The senior class at Lakota West rented and filled 8 vans and 8 buses with 240 students. Lakota East rented and filled 4 vans and 1 bus with 54 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.

Answers

Answer 1

Answer:

For High School A, the equation is 8x+8y=240, with x representing number of students in a van and y representing the number of students in a bus. For High school B, the equation is 4x+y=54.

Now solve the system of equations to find the values of your variables.

4x+y=54 means that y=54-4x.

Now plug in this value of y into the equation for High School A.

8x+8(54-4x)=240

8x+432-32x=240

192=24x

8=x

Now that you have solved for x, plug this value in to one of the equations to solve for y.

4(8)+y=54

y=22

To check this solution of x=8 and y=22, plug these values into the other equation

8(8)+8(22)=240

Because this is correct, you know that each van holds 8 students and each bus holds 22 students.


Related Questions

X2+6x-16) divided (x-2)

Answers

Answer:

let's hope for the best ....XD

X2+6x-16) divided (x-2)

Answer:

ummmm....iam sorry I tried but failed ,umm...I think he got your answer see from there!! sorry!!

The following tables show the values of linear, quadratic, and exponential functions at various values of x. Indicate which function typecorresponds to each table. Justify your choice.cxxAly691215х11123411234By71428561234y691421Dy562814734

The following tables show the values of linear, quadratic, and exponential functions at various values

Answers

The best way for us to identify which function type would each data set corresponds is to plot the given points. Let's plot the points given to us and identify what type of function does the plot corresponds to.

A. The plot for the set A is

Based on the shown plot, we can see a linear plot, hence, set A is a linear function.

B. The plot for the set B is

Based on the shown plot, there is a sudden increase in value of y per increasing value of x, hence, set B can be classified as an exponential function.

C. The plot for the set C is

The plot shows a curve behavior going up, which means that set C can be classified as a quadratic function.

D. The plot for the set D is

Based on the shown plot, there is a sudden increase in value of y per increasing value of x, hence, set D can be classified as an exponential function.

The following tables show the values of linear, quadratic, and exponential functions at various values
The following tables show the values of linear, quadratic, and exponential functions at various values
The following tables show the values of linear, quadratic, and exponential functions at various values
The following tables show the values of linear, quadratic, and exponential functions at various values

Which equation represents a line that passes through (5, 1) and has a slope of StartFraction one-half EndFraction?

y – 5 = y minus 5 equals StartFraction one-half EndFraction left-parenthesis x minus 1 right-parenthesis.(x –1)
y – y minus StartFraction one-half EndFraction equals 5 left-parenthesis x minus 1 right-parenthesis. = 5(x –1)
y – 1 = y minus 1 equals StartFraction one-half EndFraction left-parenthesis x minus 5 right-parenthesis.(x –5)
y – 1 = 5y minus 1 equals 5 left-parenthesis x minus StartFraction one-half EndFraction right-parenthesis.

Answers

Step-by-step explanation:

Slope 1/2    point    5,1  

  in point slope form would be

    (y-1) = 1/2 (x-5)

there's 240 candy bars 1/4 of candy bars are snickers 1/3 of the candy bars are twix 1/8 of the candy bars are hershey. how many candy bars are Mars? explain not with a lot of words but in numbers please.

Answers

Answer:

you have to add all the fractions of the candy

1/4+1/3+1/8

=17/24

subtract from 1

Step-by-step explanation:

1-17/24

=7/24

multiply with the total number of candy

7/24×240

=70

8 Annexure A RESEARCH TOOL: CAMPAIGN(S) IN THE COMMUNITY Name of a campaign: Position of the interviewee(s) at the Centre: ** Respond to the following questions/statements by placing a tick (✓) where appropriate and also by filling in the spaces below. 1. Does the Campaign pursue it's aims? YES/NO Elaborate​

Answers

In the provided text is a questionnaire or form related to a research tool for assessing a campaign in the community.

The first question asks whether the campaign pursues its aims, with the options of answering "YES" or "NO." The respondent is then instructed to elaborate on their answer.

What is a questionnaire?

A questionnaire is a research tool   used to collect data by presenting a series of questions to respondents,typically in a written format.

Questionnaires are an important research tool as they allow researchers to gather   large amounts of data from a large number of participants in   a standardized and efficient manner.

They provide a structured approach to collecting information,allowing for easy analysis and comparison   of responses.

Questionnaires can be used in various   research settings and are particularly useful for collecting quantitative data,measuring attitudes, opinions, behaviors, and gathering demographic information.

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PLEASE HELP!!!

Baristas at Hot Cocoa Coffee Shop tested their new hot chocolate machine. The following table shows the number of seconds the machine was turned on and the amount of hot chocolate that filled up the cup.

Time (seconds)- 4 8 12 16 20 24
Hot chocolate amount (fluid ounces)- 4 5.5 7 9 12 15

Which representation is most appropriate for displaying and describing what is happening to the amount of hot chocolate over time?

PLEASE HELP!!!Baristas at Hot Cocoa Coffee Shop tested their new hot chocolate machine. The following

Answers

The representation that is most appropriate for displaying and describing what is happening to the amount of hot chocolate over time is a Line Plot

What is a Line Plot?

A line plot, or dot plot/strip plot, is a simple visual method of displaying data that shows the spread of values on a horizontal scale. A frequent application of it is to graphically display the occurrence or spread of a solitary factor.

A line plot generally displays individual data points as a small dot or short line segment along a specific axis, usually the horizontal axis. The location of the dot or line segment indicates the numerical value of the data point. Usually, the up and down axis showcases the frequency or the number of times a particular value occurs.

With this type of Table, the top is always X and the bottom is always Y.

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PLEASE HELP!!!Baristas at Hot Cocoa Coffee Shop tested their new hot chocolate machine. The following

If < A and < B are supplementary angles, m (​

Answers

Answer:

m<A + m<B = 180 degrees = 2pi radians

Step-by-step explanation:

Peter has just learned that to change from Fahrenheit to Celsius, he needs to subtract 32 from the Fahrenheit temperature and then multiply by 5/9. Which of the following formulas can be used to change from Fahrenheit to Celsius?

Peter has just learned that to change from Fahrenheit to Celsius, he needs to subtract 32 from the Fahrenheit

Answers

EXPLANATION

Let's see the facts:

°F -----> °C (What we need to do)

Steps:

1) Subtract 32, so we must do it with the °F as following:

F - 32

2) Multiply by 5/9, so we must do it with the (F - 32) as following:

(F - 32)*(5/9)

The formula that can be used to change from Fahrenheit to Celsius is:

C = 5/9(F - 32) [OPTION D]

ANSWER ASAP
The number of swings back-and-forth of a pendulum of length L in inches each minute is 375 over the square root of L. About how many swings will it take ?

Answers

Complete question

The number of swings back and forth of a pendulum of length in inches each minute is 375/√L.

About how many swings will a 40-inch pendulum make each minute? can you please show the steps so that next time I can do it on my own?

Given the number of swings back and forth of a pendulum of length in inches, each minute is expressed as 375/√L.

In order to determine the number of swings, it will take a 40- inch pendulum, we will substitute L = 40 into the given expression as shown:

Number of swings per minute = 375/√40

Rationalize

Number of swings per minute = 375/√40 × √40/√40

Number of swings per minute = 375√40/40

Number of swings per minute = 375√4 × √10/40

Number of swings per minute = 375×2√10/40

Number of swings per minute = 750√10/40

Number of swings per minute = 18.75√10

Number of swings per minute = 59.29

Hence it will take the pendulum about 59 swings per minute

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3/x=2
How do you solve this without get a loop

Answers

Answer:

x= 3/2

Step-by-step explanation:

3/x=2

Multiply x both sides so,

3 =2x

Divide 2 to get the value of x so,

x= 3/2

I need help with geometry! I need to find x and y, please help asp

I need help with geometry! I need to find x and y, please help asp

Answers

Here you go, hope this helped
I need help with geometry! I need to find x and y, please help asp

Check the picture below.

I need help with geometry! I need to find x and y, please help asp

Margot needs to gallons of paint for his living room he has 10 quarts of paint is that enough

Answers

Answer:

"Quart" is shorthand for "quarter of a gallon." So that means there are 4 quarts in each gallon. Which means 8 quarts in 2 gallons.

So if he's got 10 quarts, that means 2 and a half gallons.

Step-by-step explanation:

Lines l and m are parallel lines cut by the transversal line t. Which angle is congruent to ∠7?

Lines l and m are parallel lines cut by the transversal line t. Which angle is congruent to 7?

Answers

Answer:

<3, <2 or <6

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

i had it in usatestprep

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A rectangular prism has a length of 2 meters, a width of 4 meters, and a height of 2 meters.
What is the volume of the prism?
Enter your answer in the box as a simplified mixed number or a decimal.
Basic
4.07 Quiz: Finding the Volume of a Prism
7.

Answers

If a rectangular prism has a length of 2 meters, a width of 4 meters, and a height of 2 meters. The volume of the prism is 16 cubic meters.

How to find the volume of the prism?

The volume of a rectangular prism is given by the formula:

Volume = length x width x height

Substituting the given values, we get:

Volume = 2 meters x 4 meters x 2 meters

Simplifying this expression, we get:

Volume = 16 cubic meters

Therefore, the volume of the prism is 16 cubic meters.

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In each rule , copy the chart and fill in the missing parts

In each rule , copy the chart and fill in the missing parts

Answers

Answer:

7. 14

15. 30

28. 56

32. 64

18 36

x 2x

1/2y. y

2x. 4x

x+3 2x+9

Step-by-step explanation:

each out is double the in

The following data represent the number of loaves of bread, in thousands, which were sold by various grocery stores in the month of June. Construct a dot plot for the given data.

4, 8, 11, 10, 10, 4, 5, 13,
6, 13, 8, 14, 8, 1, 10, 9

Select any value to see the controls for increasing or decreasing the frequency.
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16

Answers

Answer:

Following are the solution to these question:

Step-by-step explanation:

The frequency of the data value will be the same in dot plots for the number of dots. The frequency table is following:

\(X \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Frequency \\\\1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1\\\\2\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0\\\\3\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0\\\\4\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 2\\\\5\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1\\\\6\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1\\\\7\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0\\\\8\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3\\\\9\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1\\\\10\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3\\\\11\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1\\\\\)

\(12\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0\\\\13\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 2\\\\14\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1\\\\\)

The following data represent the number of loaves of bread, in thousands, which were sold by various

NEED HELP! WILL GIVE BRAINLIEST! <3

NEED HELP! WILL GIVE BRAINLIEST! &lt;3

Answers

Answer:

See explanation

Step-by-step explanation:

1) 5/10

2) 3/10

3) 2/10

4) 7/10

Answer:

1) \(\frac{5}{10} = \frac{1}{2}\)

2) \(\frac{3}{10}\)

3) \(\frac{2}{10} = \frac{1}{5}\)

4) \(\frac{7}{10}\)

Step-by-step explanation:

Probability = \(\frac{number of favourable outcomes}{total number of favourable outcomes}\)

gray marbles = 5

white marbles = 3

black marbles = 2

total number of marbles = 10

(6e-3f-3/4) in a equivalent expression​

Answers

Answer:

Step-by-step explanation:

(6e-3f-3/4) contains two terms which do not involve fractions and one fractional term (3/4).

We can safely remove the parentheses.  Then:

(6e-3f-3/4)  =>  6e - 3f - 3/4

That is "an equivalent expression."

We could go further and create one equivalent fraction.  Multiply the first two terms by 4/4, obtaining:

24e    12f       3           24e - 12f - 3             3(8e - 4f - 1

------ - ------ - -----  =>  ----------------------  =>  -------------------

  4       4         4                     4                             4

Other equivalent expressions exist here.

Here are the heights (in inches) of 12 students in a seminar. 71, 67, 62, 60, 70, 64, 68, 72, 58, 63, 60, 66 What is the percentage of these students who are shorter than 65 inches? 1% X 5​

Answers

25% of the students in the seminar are shorter than 65 inches.

To find the percentage of students who are shorter than 65 inches, we first need to find the number of students whose height is less than 65 inches:

There are three students who are shorter than 65 inches: 62, 60, and 58.

Therefore, the percentage of students who are shorter than 65 inches is:

(3 students / 12 students) × 100% = 25%

Note that the value given for 1% × 5 does not appear to be relevant to this question, and is not necessary for the calculation of the percentage of students who are shorter than 65 inches.

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15 Mary needs to work out the size of angle x in this diagram.
DO NOT WRITE IN THIS AREA
63°
X
B
С
She writes
x = 63° because base angles of an isosceles triangle are equal.
Mary is wrong.
(a) Explain why.

Answers

Mary is wrong because ∠A = ∠B = 63°, while ∠C = x ≠ 63°

What is a triangle?

A triangle is a polygon with three sides and three angles. Types of triangles are equilateral, isosceles and right angled.

An isosceles triangle is a triangle in which two sides and two angles are equal.

From the diagram:

∠A = ∠B (base angles)

Mary is wrong because ∠A = ∠B = 63°, while ∠C = x ≠ 63°

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15 Mary needs to work out the size of angle x in this diagram.DO NOT WRITE IN THIS AREA63XBShe writesx


Show work please will do
Brainlest

Show work please will doBrainlest

Answers

Answer:

about 7 times

Step-by-step explanation:

First do 80 times 3 and get 240 then do 240 divided by 34 and get 7.058823529 which can be rounded to 7.

3. You pay $10 to play the following game of chance. There is a bag containing 12 balls, five are red, three are treen and the rest are yellow. You are to draw one ball from the bag. You will win $14 if you draw a red ball nd you will win $12 is you draw a yellow ball. How much do you expect to win or loss if you play this game 100 times?

Answers

So overall, you can expect to make a profit of $166.67 if you play the game 100 times.

What is probability ?

Probability can be defined as the ratio of number of favourable outcomes and total number of outcomes.

To determine how much you expect to win or lose if you play the game 100 times, we need to calculate the expected value of each round and then multiply it by the number of rounds.

Let X be the random variable that represents the amount you win in one round of the game. The possible outcomes of X are winning $14, winning $12, or losing $10. We can calculate the expected value of X using the following formula:

E(X) = P(win $14) × $14 + P(win $12) × $12 + P(lose $10) × (-$10)

To calculate the probabilities, we can use the fact that there are 5 red balls, 3 green balls, and 4 yellow balls in the bag. The probability of drawing a red ball is therefore 5/12, the probability of drawing a green ball is 3/12, and the probability of drawing a yellow ball is 4/12.

So we have:

E(X) = (5/12) × $14 + (4/12) × $12 + (3/12) × (-$10)

E(X) = $5/3

This means that on average, you expect to win $5/3 per round. Over 100 rounds, you can expect to win:

100 × $5/3 = $166.67

However, it's important to note that this is just an average - in reality, you may win more or less than this amount depending on the luck of the draw.

Therefore, overall, you can expect to make a profit of $166.67 if you play the game 100 times.

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what is the time and place in which events happen?
a.conflict
b.plot
c.settings
d.theme​

Answers

Answer:

What is the time and place in which events happen?

a. conflict

b. plot

c. settings

d. theme

The answer is setting because it's the condition, time, and place in which events or actions happen.

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Determine the equation of the line that passes through the points (-1,3)and ( 2,-5)

Answers

Answer:

y = - 8/3x - 7/3 Or 8x+3y+7=0

Step-by-step explanation:

Given the points (-1,3) and (2,-5) the equation of the straight line can be given using the Two point formula :

y-y1 /x-x1 = y2-y1 /x2-x1

By substition of the points into the formula we have :

y-3/x-(-1) = - 5-3/2-(-1)

y-3/x+2 = - 8/3

Cross multiple

3(y-3) = - 8(x+2)

3y-9 = - 8x-16

By moving everything to one side of the equal sign we get the equation :

8x+3y+7 = 0

The same equation can be written in Gradient intercept form as:

y = - 8/3x - 7/3

Mrs.owens bought two candles for her dining room table. She paid with a $100 bill and received $32.16 in change. If sales tax is charged at a rate of 6% what was the price for one candle holder before taxes?

Answers

6% would typically be 6cents to every dollar so that’s odd. Any who
100-32.16=67.84/2=33.92
Then remove taxes per candle
33.92 has 2.04 for tax 6% = 6cents or 0.06
33.92-2.04=33.88 without tax per candle
Answer: 33.88$

The price for one candle holder before taxes is $30.88.

What is a tax?

It is an amount of money that a government requires people to pay according to their income, the value of their property, etc., and that is used to pay for the things done by the government.

The total payment including tax is $100.

The change received is $32.16.

The rate of sale tax is 6%.

The cost of one candle including tax is given by

(100 - 32.16) / 2 = 32.92

6% of a candle is given by

32.92 * 0.06 = 2.0352

The cost of one candle without tax is given by

32.92 - 2.0352 = 30.88

Hence, the cost of one candle without tax is $30.88.

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Stephanie spent 20​% of x hours at her​ part-time job. What is x if 20​% of x is about 10 hours?

Answers

about 50 hours!

because 20 x 5 equals 100, so 5 x 10 equals 50! good luck! :)

A. Directions: Find the surface of the following. Round your answer to nearest
hundredths. (Use n = 3.14) Write your answer in your notebook.
1) cone with radius of 15 cm and slant height of 12 cm
2) cone with radius of 8 cm and slant height of 11 cm
3) sphere with radius of 3.2 cm
4) sphere with diameter of 6 cm​

Answers

Answer:

1. S.A of a cone = 565.56 cm².

2. S.A of a cone = 276.496 cm².

3. S.A of a sphere = 128.696 cm².

4. S.A of a sphere = 113.112 cm².

Step-by-step explanation:

Given the following data;

1. Radius, r = 15cm

Slant height, l = 12cm

Mathematically, the surface area of a cone is given by the formula;

Surface area of a cone = πrl

Substituting into the formula, we have;

S.A of a cone = 3.142 * 15 * 12

S.A of a cone = 3.142 * 180

S.A of a cone = 565.56 cm²

2. Radius, r = 8cm

Slant height, l = 11cm

Surface area of a cone = πrl

S.A of a cone = 3.142 * 8 * 11

S.A of a cone = 3.142 * 88

S.A of a cone = 276.496 cm²

3. Radius, r = 3.2 cm

Mathematically, the surface area of a sphere is given by the formula;

Surface area of a sphere = 4πr²

Substituting into the formula, we have;

S.A of a sphere = 4 * 3.142 * 3.2²

S.A of a sphere = 4 * 3.142 * 10.24

S.A of a sphere = 40.96 * 3.142

S.A of a sphere = 128.696 cm²

4. Diameter, d = 6cm

Radius, r = diameter/2 = 6/2 = 3 cm

Surface area of a sphere = 4πr²

S.A of a sphere = 4 * 3.142 * 3²

S.A of a sphere = 4 * 3.142 * 9

S.A of a sphere = 36 * 3.142

S.A of a sphere = 113.112 cm²

2. Choose the correct measurement of the paper clip to the nearest 1/8 inch.

2. Choose the correct measurement of the paper clip to the nearest 1/8 inch.

Answers

Answer: 1 3/8 inches.

Answer: 1 3/8

The paper clip is 1.375 inches.

Match the total cost to the correct unit price. HELP

Match the total cost to the correct unit price. HELP

Answers

Answer:

[From top to bottom]

1.5 ; 1.25 ; 1.75 ; 1.05

Step-by-step explanation:

1. $9/6 = $1.5

2. $6.25/5 = $1.25

3. $7/4 = 1.75

4. $5.25/5 = 1.05

Convert the rectangular coordinates (5,−5√3) to polar form. Let r>0 and 0≤θ<2π.

Enter your answer by filling in the boxes. Enter coordinates as simplifed fractions or radicals in simplest form.

( , )

Answers

Answer:

(10, 5π/3)

Step-by-step explanation:

To convert rectangular coordinates (5, -5√3) to polar form, we can use the following formulas:

r = √(x^2 + y^2)

θ = arctan(y/x)

Substituting the given values, we get:

r = √(5^2 + (-5√3)^2) = √(25 + 75) = √100 = 10

θ = arctan((-5√3)/5) = arctan(-√3) = -π/3

Note that the value of θ is in the fourth quadrant, which corresponds to a negative angle. However, we need to express the angle θ in the range 0 ≤ θ < 2π. To do this, we can add 2π to the angle if it is negative:

θ = -π/3 + 2π = (5π/3)

Therefore, the rectangular coordinates (5, -5√3) in polar form are (10, 5π/3).

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