The state fair is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 13 vans and 9 buses with 569 students. High School B rented and filled 14 vans and 3 buses with 325 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.


The number of students that fit in each van is _ and the number of students that fit in each bus is _

The state fair is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 13 vans and 9 buses with 569 students. High School B rented and filled 14 vans and 3 buses with 325 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:

The number of students in each van = 14

The number of students in each bus = 43

Step-by-step explanation:

Let the number of students that can fill a van be v.

Let the number of students that can fill a bus be b.

The senior class at High School A rented and filled 13 vans and 9 buses with 569 students.

13 vans will have (13v) students

9 buses will have (9b) students

13v + 9b = 569

High School B rented and filled 14 vans and 3 buses with 325 students

14 vans will have (14v) students.

3 buses will have (3b) students.

14v + 3b = 325

Combining these two simultaneous equations

13v + 9b = 569

14v + 3b = 325

Solving simultaneously,

v = 14 students.

b = 43 students.

Hope this Helps!!!


Related Questions

Brooke solved the equation below: 6r = 72 6r − 6 = 72 − 6 r = 66 Is Brooke’s solution correct? If the solution is incorrect, explain why it is incorrect and show the correct steps to solve the equation.

Answers

Answer:

see below

Step-by-step explanation:

6r = 72

We need to divide each side by 6, not subtract 6 from each side

6r/6 = 72/6

r = 12

Answer:

Brooke's solution is incorrect

Divide both sides by 6

r=12

Step-by-step explanation:

The equation is:

6r=72

Brooke solved the equation like so:

6r-6=72-6

r=66

Brooke's solution is incorrect. She subtracted 6 from both sides of the equation.

Here is how the equation should be solved:

6r=72

We want to solve for r, so we have to get r by itself. 6 and r are being multiplied (6*r=6r). The inverse of multiplication is division, so we must divide both sides by 6 (not subtract 6 from both sides).

6r/6=72/6

r=72/6

r=12

Brooke's solution is incorrect. She subtracted 6 instead of dividing by 6. The correct solution is r=12.

Please solve pls explain as well

Answers

Answer:

The answer is in the other post of the same question

Step-by-step explanation:

Here's the link to the other question: https://brainly.com/question/17140832

18 belongs in 9 because each number is multiples by its self and flipped

One number is seven less than a second number. Five times the first is 2 more than 6 times the second. Find the numbers. The value of the first number is _____.

Answers

Answer:

[tex]\Large \boxed{\sf \ \ 40 \ \ }[/tex]

Step-by-step explanation:

Hello,

Let's not a and b the two numbers.

One number is seven less than a second number.

(1) b = a - 7

Five times the first is 2 more than 6 times the second.

(2) 5a = 2 + 6b

(2)+5*(1) gives

5a + 5b = 2 + 6b + 5a - 35

b = 35 - 2 = 33

a = 40

The value of the first number is [tex]\large \boxed{\sf \ \ 40 \ \ }[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

A machining company needs to manufacture more than 20 fixtures in a day. The company uses five identical machines to make the fixtures. If each machine produces x fixtures, which inequality represents this situation? A. 5x > 20 B. 5x 20 + 5 D. 5x < 20 + 5

Answers

Answer:

A. 5x>20

Step-by-step explanation:

Because the company has to produce more than 20 fixtures you need  greater than 20 and you have 5 machines time the number they produce.

Hope this helps, if it does please mark brainliest!!

Answer:

5x > 20

Step-by-step explanation:

I got a 100

What is the range of the function for the given domain? y = 2x − 5 D: {-2, 0, 2, 4}

Answers

Answer:

Range of Function :  { - 9, - 5, - 1,  4 }

Step-by-step explanation:

We know that y = 2x - 5 provided the domain ( x - values ) { - 2, 0, 2, 4 }. Let us substitute each element in this set of domain as x in the equation "y = 2x - 5" as to solve for the y - values, otherwise known as the range of the function.

{ - 2, 0, 2, 4 }

y = 2( - 2 ) - 5 = - 9,

y = 2( 0 ) - 5 = - 5,

y = 2( 2 ) - 5 = - 1,

y = 2( 4 ) - 5 = 4

We have the set of y - values as { - 9, - 5, - 1, 4 }. This is the range of our function.

The formula for calculating simple interest is I = prt. Which is the equivalent equation solved for r? StartFraction I Over p t EndFraction = r StartFraction p t Over I EndFraction = r I minus p t = r I + p t = r

Answers

Answer: r = I/pt

Step-by-step explanation:

Interest divided by the principal × time gives the rate. It's usually expressed as a percentage per year.

The equivalent equation for r is r=I/pt which is option a.

What is equation?

Equation is relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It is of many types like linear equation, quadratic equation, cubic equation, etc.

How to find equation?

We have been given an equation I=prt and we have to find the equivalent equation which is solved for r.

I=prt

In this p is principal, r is rate of interest and t is time period.

Divide both sides by pt.

I/pt=prt/pt

I/pt=r

Hence the equation equivalent to I=prt is r=I/pt which is option a.

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A. Y=-5/2x+2
B. Y=2/5x+2
C. Y=-2/5x+2
D. Y=5/2x+2

Answers

Answer:
B. Y=2/5x+2

Explanation:
Y-intercept: (0,2)
Slope: 4-2. 2
——=
5-0. 5
Y=2/5+2

Answer:

B) y=2/5x+2

Step-by-step explanation:

Slope is rise over run.  Since the line is increasing it’s positive.  It goes up two and then five to the right, so it’s a positive 2/5.

Therefore the answer is B) y=2/5x+2

Which is the factorization of x3 + 8? (x + 2)(x2 – 2x + 4) (x – 2)(x2 + 2x + 4) (x + 2)(x2 – 2x + 8) (x – 2)(x2 + 2x + 8)

Answers

Answer:

here the answer is down below

Step-by-step explanation:

Answer:

A (x+2)(x^2-2x+4)

Step-by-step explanation:

just took test

Identify the types of number ​

Answers

Answer:

1 surds

2 fraction

3 decimal

4 negative

5 positive

1 surds. 2 fraction. 3 decimal. 4 negative. 5 positive

Solve for x: 4x - 2 > 6x + 8. (5 points)
x<-5
x>5
x<5
x>-5

Answers

Answer:

x<-5 is the correct answer

Answer:

x<-5 is the answer

Step-by-step explanation:

Convert 11 yards to feet

Answers

Answer:

33 ft

Step-by-step explanation:

We know that 3 ft = 1 yd

Multiply 11 yds by 3 ft/1 yd

11 yd * 3ft/1 yd = 33 ft

Answer:

33 feet

Step-by-step explanation:

1 yard = 3 feet

11 yards = 33 feet

WILL MARK BRAINLIEST Give a real world example of an equation which the constant of proportionality is 15. What would the graph look like?

Answers

Answer:

Let's say someone is selling lemonade at a lemonade stand. The more cups of lemonade this person sells, the more money they get. If 1 cup= $1, then he would get $2 for 2 cups.

Step-by-step explanation:

The price of the lemonade cup and the lemonade cup are a constant of proportionality. They are proportional to each other. The more lemonade you sell, the more money you get.

The graph would be a straight diagonal line. The y would be the money, and the x would be the amount of lemonade sold. Since they are the same and proportional, they would go in a straight line.

Which are the roots of the quadratic function f(q) = q? - 125? Select two options.
Oq=515
Oq=-575
Oq=3/5
Oq=-375
Oq=25/5

Answers

Answer:

A and C

Step-by-step explanation:

The roots of the quadratic function f(q) = q² - 125 are q = 5 and q = -5.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The quadratic function f(q) = q² - 125 can be factored as (q - 5)(q + 5).

Now,

To find the roots, we set the function equal to zero and solve for q:

So,

q² - 125 = 0

(q - 5)(q + 5) = 0

q - 5 = 0 or q + 5 = 0

q = 5 or q = -5

Therefore,

The roots of the quadratic function f(q) = q² - 125 are q = 5 and q = -5.

Learn more about functions here:

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can you please answer and show your work! thank you so much :)

Answers

Answer:

1: -7

2: -7

3:-7

4: 8

5: 8

6: 8

Step-by-step explanation:

for the first one, you do 6-1=5 and then times that by 2 and then simplify that to get -7. for the second one, you do [tex]2^{3}[/tex] which is 8+4=12, and divide 24 by that to get 2 and minus nine to get -7. for the 3rd one, you do [tex]4^{2}[/tex]+9 first (16+9)= 25, and subtract 39 from that to get 14, then do 4-5=-1 *2=-2, which gets you -7. for 4 , you do 81-25= 56 over 10+8-11=7 which gets you 8. for 5, you do 36-20=16  in parentheses first and then divide 48 by that to get 3 and subtract that to get 8. last, for 6, you do 22-14 to get you 8

What is the value of x in the equation ( x +
({ x + 12) = {(x +
4x + 14) – 3?
-24
-6
2
0

Answers

Answer:

3

Step-by-step explanation:

(x+(×+12)=(×+4×+14)-3

×+×+12=×+4×+14-3

2×+12=5×-2×

+12-11=5×-2×

-1=3×

What is the graph of the solution to the following compound inequality? –6x – 1 < –25 or 3x + 4 ≤ –5

Answers

Answer:

[tex]x>4[/tex] or [tex]x \leq -3[/tex]

Step-by-step explanation:

Given :[tex]-6x -1 < -25[/tex] or[tex]3x + 4 \leq -5[/tex]

Solving first inequality :

[tex]-6x-1<-25[/tex]

Add 1 to both sides

[tex]\Rightarrow -6x-1+1<-25+1\\\Rightarrow -6x<-24\\\Rightarrow 6x>24[/tex]

Divide both sides by 6

[tex]\Rightarrow \frac{6}{6}x>\frac{24}{6}\\\Rightarrow x>4[/tex]

Solving second inequality:

[tex]3x + 4 \leq -5[/tex]

Subtract 4 from both sides

[tex]\Rightarrow 3x+4-4 \leq -5-4\\\Rightarrow 3x \leq -9[/tex]

Divide both sides by 3

[tex]\Rightarrow \frac{3}{3}x \leq \frac{-9}{3}[/tex]

[tex]\Rightarrow x \leq -3[/tex]

So, [tex]x>4[/tex] or [tex]x \leq -3[/tex]

Refer the attached graph

What properties must a quadrilateral possess in order for the quadrilateral to be classified as a.. trapezoid isosceles trapezoid

Answers

Answer:

Step-by-step explanation:

The typical isosceles trapezoid will have a uniform width, measured vertically, but two ends that are not square (not perpendicular to the x-axis.  The two sloping ends are congruent (their slopes have exactly the same slope.

The same could be said of an isosceles trapezoid that is vertical; the sloping ends have the same slope.

Answer:

2 parallel sides

2 non-parallel, congruent sides

Step-by-step explanation:

As any other quadrilateral, an isosceles trapezoid has 4 sides. 2 sides must be parallel. The other two sides cannot be parallel but must be congruent.

pls just give me answer its not 128 In how many ways can you put seven marbles in different colors into four jars? Note that the jars may be empty.

Answers

Answer:

840 ways.

Step-by-step explanation:

For the first jar, you have 7 marbles to put in.

For the second, you now have 6 marbles to put in.

For the third, you have 5 marbles.

For the fourth, you have 4 marbles.

7 * 6 * 5 * 4

= 42 * 20

= 840 ways.

Hope this helps!

Answer:

The answer is 120 ways.

I hope that is finally correct...

If we suppose that Earth is a perfect sphere and its radius is 3,959 miles, then the earth's surface area is ____ . Round your answer to the nearest whole square mile. Enter just a number for your answer. Use pi instead of 3.14 in your calculations.

Answers

Answer:

196,961,284

3.5

Step-by-step explanation:

4pi r-squared=

4xpix3959x3959=

196,961,284

196961819/55734819=

3.5

How many pounds of candy that sells for $0.81 per Ib must be mixed with candy that sells for $1.27 per Ib to obtain 8 lb of a mixture that should sell for $0.92 per lb?


1. $0.81-per-lb candy: _____ lb?

Answers

Answer:

should I ans?

Step-by-step explanation:

mayb not...coz idu

Find the mean absolute deviation (MAD) of the data in the bar chart below.

Answers

Mean absolute deviation of the given data is 1.5

What is Mean absolute deviation?

The average absolute deviation of a data set is the average of the absolute deviations from a central point.

What is Mean?

The arithmetic mean, also known as arithmetic average, is a measure of central tendency of a finite set of numbers

From the given bar chart

Mean = Sum of the terms / Number of terms

Mean = [tex]\frac{4+5+6+1}{4}=4[/tex]

Mean absolute deviation = [tex]\frac{1}{n}[/tex]∑ | mean- x|

MAD = [tex]\frac{|4-4|+|4-5|+|4-6|+|4-1|}{4} =\frac{0+1+2+3}{4}=1.5[/tex]

Hence, Mean absolute deviation of the given data is 1.5

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Answer:

1.5

Step-by-step explanation:

Write an equation in slope-intercept form for the line that satisfies the following condition.
passes through (29,8), perpendicular to the graph of y= 5x +17.
Select one:
a. y = 385x + 1
b.y = -132 +385
c. Y = 12 +385
d.y= -132 + (-13)

Answers

Answer:

y = - x + 69

Step-by-step explanation:

Given the following :

Point on graph : (29, 8)

Equation of line ; y= 5x +17.

From the equation slope of line = 5

Intercept = 17

Slope of perpendicular line = - 1/5 ( negative reciprocal)

Using the equation :

y - y1 = m(x - x1)

From the Point given:

x1 = 29, y1 = 8

y - 8 = (- 1/5)(x - 29)

y - 8 = -1/5x + 29/5

y = -1/5x + 29/5 + 8

Multiply through by 5

y = - x + 29 +40

y = - x + 69

A company is building a new park in the shape of a circle with a 25 ft diameter. Portions of the new park will be covered with grass. A diagram of the park is given below, with the shaded region representing the areas that will be covered in grass. Use 3.14 for. Note: image is not drawn to scale. The area of the regions covered by grass is approximately sq ft.

Answers

Answer: The area of the regions covered by grass is approximately 313.375 sq ft.

Step-by-step explanation:

Given: A company is building a new park in the shape of a circle with a 25 ft diameter.

Then radius = [tex]\dfrac{25}{2}=12.5\ ft[/tex]

Required area = Area of circle - Area of rectangle + Area of triangle

Formula: Area of circle = [tex]\pi r^2[/tex]

Area of rectangle = length x width

Area of triangle = 0.5 x base x height

Area of circle = [tex](3.14)(12.5)^2=490.625\ \text{ft}^2[/tex]

Area of rectangle = 20 ft x 10ft = 200 ft²

Area of triangle = 0.5 x 7 x 6.5 = 22.75 ft²

Required area = 490.625 -200+22.75 = 313.375 ft²

Hence, The area of the regions covered by grass is approximately 313.375 sq ft.

oops i did something wrong last question cuz it accidentally showed my email

Answers

Answer:

A, D and E

Step-by-step explanation:

Option B is an inequality while Option C is an Equation. However, Rest of the options are expressions because they don't have any equality (=) sign or any inequality (<,>,≥,≤). So, they are expressions.

How many solutions does this system have? 2 x - 3 y = 10. -4 x + 6 y = - 20.
A) One
B) Two
C) An infinite number
D) No solution

Answers

Answer:  The correct answer is:  [D]:  " No solution " .

______________________________________

Step-by-step explanation:

We are given the following system of equations:

   2x − 3y = 10 ;

     -4x + 6y  =  -20 ;

_______________________________________

  Let us take the second equation:

   -4x + 6y  =  -20 ;

     and multiply each side by "-1 " ; to get rid of the "negative numbers" ; and to rewrite the equation without the "negative numbers" :    

       - 1 * { - 4x + 6y }  =  -1 * (-20} ;

  to get:

       4x − 6y = -20 ;

Now, let us simply this equation further; by divide each side of the equation by "2" ;

       (4x − 6y) / 2  =  (-20) / 2 ;

          → [ (4x) / 2 ]    −  [ (6y) / 2 ]  =  -10 ;

   to get:   2x  −  3y  = -10 ;

Then we have: 2x − 3y = 10 ;  

                    Note:    10 ≠ -10 .

_______________________________________

So the answer is: [D]: " No solution."

_______________________________________

Hope this explanation helps you!  Best wishes!

_______________________________________

Which of the following cross sections cannot be produced by slicing a right rectangular prism? A. pentagon B. circle C. rectangle D. trapezoid

Answers

Answer:

The answer is option B.

Step-by-step explanation:

Since it's a rectangular prism slicing will produce either a rectangle or trapezoid and not or a circle since it's round

Hope this helps you

Answer: B. Circle

Step-by-step explanation:

Since the base is a rectangle and the faces are rectangular, there is no way to slice the prism to get a a circle.

The trapezoid ? Maybe. A diagonal slice starting on a corner will create a quadrilateral with uneven sides.

Pentagon? Imagine starting on the top near a corner-- but not on the corner-- with a diagonal line, slicing down towards the opposite corner. You should be able to get an irregular pentagon.

A rectangle is easy!

No circles!

Enjoy! I hope this helps you.

confused on this one
1. Assume that m26 = 60°. What must be true about 26 and 23 for the
lines to be parallel? Name the postulate or theorem that you used in
this justification

Answers

Answer:

The other measurement has to be 120 degrees. In other words, the two angles have to add up to 180 degrees. The method for that is same side interior.

Step-by-step explanation:

In same side interior angles, the sum of the two angles has to be 180 degrees. So we know that one of the angles is 60 degrees so we do 180-60=120.

What is the product
(-2d^2+x)(5d^-6x)

Answers

-10d^2x + 5x^2/d^6 or


-10d^2x + 5x^2 over d^6

Answer:

-10a4 + 17d4s2 - 6s2

Step-by-step explanation:

On Edgenuity

Which expression is equivalent to *picture attached*

Answers

Answer:

[tex]\sum_{n=3}^{20}(n(n+1))=\sum _{n=3}^{20} n^2+ \sum _{n=3}^{20} n[/tex]

Step-by-step explanation:

Given expression : [tex]\sum_{n=3}^{20}(n(n+1))[/tex]

Solving further :

[tex]\Rightarrow \sum_{n=3}^{20}(n^2+n)[/tex]

[tex]\Rightarrow \sum _{n=3}^{20} n^2+ \sum _{n=3}^{20} n[/tex]

So, [tex]\sum_{n=3}^{20}(n(n+1))=\sum _{n=3}^{20} n^2+ \sum _{n=3}^{20} n[/tex]

So, The given expression is equivalent to Option A

So, Option A is the answer

PLEASE HELP 13 INSTEAD OF FIVE POINTS!!!! I REALLY NEED HELP

Answers

A is what the answer is

Answer:

y = 3/7 x - 3

Step-by-step explanation:

The first number should be positive because the dots are slowly going up, not down. The first number also cannot be 7/3 because the slope of that would be over 2, and in this graph, the slope isn't even more than one. The last answer we have to eliminate is y = 3/7x + 3 because the +3 is the y-intercept, and in the graph, it doesn't touch the positive 3. So the answer is y = 3/7x - 3.

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