13.
Write and solve a system of equations for each story problem.
A class of 366 students went on a field trip. They took 12 vehicles, some vans and some buses
Find the number of vans and the number of buses they took if each van holds 6 students and each bus holds
55 students

Answers

Answer 1

Answer:

6 vans and 6 buses

Step-by-step explanation:

v+b=12 this equation represents the amount of vehicles

6v + 55b = 366 this equation represents the amount of students per vehicle.

after solving you get v=6 and b=6


Related Questions

A ship leaves port at 1 pm traveling north at the speed of 30 miles/hour. At 3 pm, the ship adjusts its course on a bearing of N 20º E. How far is the ship from the port at 4pm?

Answers

It was not until the end of the day I will be able to get the most out of the way ↕️ the first place in the first half of the season ⛄ and a few others are doing it is not the only one who has a lot of very high quality of care and treatment for me and the second is a very nice, but it does was the only thing I do you know that you can get the best out there that can be used for the first time in a long time, but I think it is a very nice and the other hand, the more I think about it, I was able to get the most out of your way to a new study by its is the only one who has a very nice to be able to get the most from a variety of different types of people and a few others.

this square-based oblique pyramid has a volume of 125 what is the height of the pyramid?

Answers

I feel like you need more information here. The volume of a square pyramid is 1/3s^2h where s is a side of the square and h is the height, but you’re only given the volume. Is there a picture that shows what one of the sides is?

heyyy wanna help mee

Answers

Answer: Only j = 2

============================================

Explanation:

Let's solve for j

[tex]\frac{96}{j} \ge 40\\\\96 \ge 40j\\\\\frac{96}{40} \ge j\\\\2.4 \ge j\\\\j \le 2.4[/tex]

In the second step, I multiplied both sides by j. If j is a positive number, then the inequality sign will not flip. All of the answer choices are positive numbers, so we don't have to worry about the inequality sign flipping.

The last step shows that j = 2.4 or j < 2.4

So j is 2.4 or smaller.

Of the list given to us, only j = 2 fits the description, since something like j = 8 is not 2.4 or smaller.

---------------------------

If j = 2, then,

[tex]\frac{96}{j} \ge 40\\\\\frac{96}{2} \ge 40\\\\48 \ge 40\\\\[/tex]

which is a true statement since 48 is larger than 40. This shows that j = 2 is a solution.

Something like j = 8 does not work because

[tex]\frac{96}{j} \ge 40\\\\\frac{96}{8} \ge 40\\\\12 \ge 40\\\\[/tex]

which is false because 12 is not equal to 40 or larger than 40. This means j = 8 is not a solution. You should find that j = 12 and j = 3 lead to similar false statements.

Of the list given, j = 2 is the only solution.

Answer:[tex]\boxed{\boxed{\sf{j=2}}}[/tex]Solution Steps:

______________________________

1.) Solve using j = 12:Plug in 12: [tex]\frac{96}{12}[/tex] ≥ [tex]40[/tex]Divide 96 by 12: [tex]=8[/tex] Compare: [tex]8[/tex] ≥ [tex]40[/tex]

So this is False.

2.) Solve using j = 8:Plug in 8: [tex]\frac{96}{8}[/tex] ≥ [tex]40[/tex]Divide 96 by 8: [tex]=12[/tex] Compare: [tex]12[/tex] ≥ [tex]40[/tex]

So this is False.

3.) Solve using j = 2:Plug in 2: [tex]\frac{96}{2}[/tex] ≥ [tex]40[/tex] Divide 96 by 2: [tex]=48[/tex]Compare: [tex]48[/tex] ≥ [tex]40[/tex]

So this is True.

4.) Solve using j = 3:Plug in 3: [tex]\frac{96}{3}[/tex] ≥ [tex]40[/tex]Divide 96 by 3: [tex]=32[/tex] Compare: [tex]32[/tex] ≥ [tex]40[/tex]

So this is False.

______________________________

help pls 6th grade math

Answers

Answer:

All of them are correct except for the last one which is incorrect

Step-by-step explanation:

All you need to substitute the answers given for "r" and see if its less than or equal to 2

- 3.5 [tex]\leq[/tex] 2 Correct (negative numbers are always smaller than a positive number)

- 2 [tex]\leq[/tex] 2 Correct (negative numbers are always smaller than a positive number)

-1 [tex]\leq[/tex] 2 Correct ( negative numbers are always smaller than a positive number)

0 [tex]\leq[/tex]  2 Correct ( 0 has a value much more less than the value of 2)

2 [tex]\leq[/tex] 2 Correct (they both have the same value as "2")

4 [tex]\frac{1}{4}[/tex] [tex]\leq[/tex]  2 Incorrect ( 4 [tex]\frac{1}{4}[/tex] has a much more greater value than 2, therefore this is incorrect)

Help will make branliest

Answers

Answer:

I like that you watch wwe for one. but lets get started

the answer itself is m< 4=87

Step-by-step explanation:

Answer:

The answer is 87°

Step-by-step explanation:

A quadrilateral has an interior angle sum of 360°.

Given that three of the four angles in a quadrilateral are 89°, 80°, and 104°, we can create the following equation where x is the missing angle:

89° + 80° + 104° + x° = 360°.

All you have to do is add all the measures up and subtract from 360°.

89° + 80° + 104° + x° = 360° →

273° + x° = 360° →

x° = 87°.

Also, for any polygon, the interior angle sum is (n – 2) × 180°, where n is the number of sides.

A quadrilateral is a polygon with four sides so it's interior angle sum must be

(4 – 2) × 180° = 2 × 180° = 360°.


A glass vase factory recently produced 4 vases that were chipped and 16
vases that were not. Considering this data, how many of the next 10 vases
would you expect to be chipped?

Answers

Answer:

2

Step-by-step explanation:

4 chipped + 16 not chipped = 20 total

4 / 20 = 1/5 or 20% chance that vase will be chipped

Set up a proportion or find 20% of 10.

[tex]\frac{1}{5} = \frac{x}{10}[/tex]     x = 2 (ten is on denominator because it's the total amount of vases)

or 10 * 0.2 = 2

Which is equivalent to 42x +49.

A. 2 (21 + 24)

B. 8x + 13

C. 4 (2x + 9)

D. 7 (6x + 7​

Answers

Answer:

D. 7 (6x+7)

Step-by-step explanation:

Factor  7  out of  42x  +  49

The answer is
D. 7(6x+7)

Water
SA = 2tr2 + 2nrh
(Use 3.14 for 1.)
Find the surface area
of a water tower that is
40 feet tall and 20 feet
across the base.
square feet
Do NOT round your answer.

Answers

Answer:

the surface area is 3140 square feet

Step-by-step explanation:

The computation of the surface area is given below:

Given that

Diameter = 20 feet

radius =  20 ÷ 2 = 10 feet

Surface area = [tex]2\pi r^2 + 2\pi rh[/tex]

= 2 × 3.14 × (10)^2 + 2 × 3.14 × 10 × 40

= 6.28  × 100  + 6.28  × 400

= 628 + 25.12  × 100

= 628+ 2512

= 3140 square feet

hence, the surface area is 3140 square feet

Please help me. You will be marked brainliest.

Answers

Answer:

What do you need help with?

Step-by-step explanation:

Write the equation of a line that is perpendicular to the given line and that passes through the given point y+ 2 = -(x - 5). (4.3) Oy=-3x+15 Oy=-3x - 9 Oy=-4x + 3 Oy=-x-11 =-​

Answers

Answer:

B. y = -3x - 9

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

The equation perpendicular to the given equation is y=-3x-9. Therefore, option B is the correct answer.

Given that, the equation of the line is y+2 = 1/3 (x-5) and the coordinate point is (-4, 3).

Here, the slope is 1/3

The slope of a line perpendicular to given line is m1=-1/m2

So, the slope is m=-3

Substitute m=-3 and (x, y)=(-4, 3) in y=mx+c, we get

3=-3×(-4)+c

3=12+c

c=-9

So, the equation is y=-3x-9

Therefore, option B is the correct answer.

To learn more about the slope of a line visit:

https://brainly.com/question/14511992.

#SPJ1


Which equation is nonlinear?
o 2x - y = 9
Oy = x2 + 3
Oy = 2x - 3
OX= y

Answers

X=y is not a linear equation

40% of the people at Tim's Halloween party dressed up as superheroes. If 14 people dressed as superheroes, how many people were at Tim's Halloween party?

Answers

The answer should be 6 hope this helps

HELP THIS IS DUE FOR TODAY's WORK

In a high school basketball game, Sarah scored 19 points in the first half of the game. In the second half, Sarah scored only 3-point shots. Sarah scored a total of 37 points during the entire game. How many 3-point shots did Sarah make in the second half?
Group of answer choices

18

19

4

6

Answers

Answer:

19-37=18

18÷3=6

she scored (6) 3-points

Answer:

4

Step-by-step explanation:

what you would do is 19-3 and get 16 then add 3 until you get 37. you would have to cout how many times you counted up 3, here we go,16,19,21,24,27,30,33,36 we have a remainder but she made 8 shots. so since we are 1 short we have to divide by 2 to get 4.

hope this helped, pls mark brainliest

How long will it take to fill the tank with 40 gallons of water?

Answers

Answer:

15-25

Step-by-step explanation:

10-15 minutes hope this helps also can someone help me what is the summary of chapter 27 book two roads

CAN SOMEONE PLEASE HELP ITS EASY BUT IM D U M B

Answers

Answer:

I believe the answer is C. Use Desmos and plug in the equation y=-x-2

Step-by-step explanation:

graph y= 2/3x-4

How do I graph this?

Answers

Answer:

Read below !!

Step-by-step explanation:

Since you are already given the full equation, you would just follow the steps of plotting a line! I start usually by plotting the y-intercept, which is always on the y-axis. In this case, that would be -4 ! You mark -4 on the line, and from there, you would use RISE/RUN to find out the slope of the line. Since it's 2/3, you would rise 2, and go to the right 3, all from the point -4. You should do that about two times in order to get your line !!

I hope this helps !!

Find the Y intercept of the line y-3=2(x + 1)​

Answers

Answer:

y=2x+1

Step-by-step explanation:

Can someone please teach me long division, and please provide examples.
i haven't done long division in so long and i need to sharpen up.
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oh yea 50 points each.

Answers

Answer:

Step-by-step explanation:

Divide the tens column dividend by the divisor.

Multiply the divisor by the quotient in the tens place column.

Subtract the product from the divisor.

Bring down the dividend in the ones column and repeat.

okay so look at the image down below

state if polygons are similar

Answers

Yes polygons are similar just not the same size

how many months give you 27 years​

Answers

Answer:

324 Months

Step-by-step explanation:

Answer:

324 months according to goggle.

A floral design on a floor is made up of 16 tiles which are triangular,
the sides of the triangle being 9cm, 28cm and 35cm. Find the cost of
polishing the tiles at the rate of 50p per m^2?

Answers

Answer:

Answer

Area of tiles = 16 x area of 1 Δ

S=  

2

a+b+c

​  

=  

2

9+28+35

​  

=  

2

72

​  

=36

Area=  

36(36−9)(36−28)(36−35)

​  

 

36×27×8×1

​  

 

36  

6

​  

cm  

2

 

Area of tiles = 16 ×36  

6

​  

 

=1410.20.

Cost of polishing per cm  

2

 = 50.

Cost of polishing = 1410.90 cm  

2

 

1410.90 x  

2

1

​  

 

705.45

Step-by-step explanation:

solve the equation 4x^2-27x-5=-10x to the nearest tenth

Answers

Answer:10x^2-27x+5. 10x2−27x+5 10 x 2 - 27 x + 5. For a polynomial of the form ax2+bx+c a x 2 + b x + c , rewrite ...

Step-by-step explanation:

The solution of the equation:

x = -0.28 to the nearest tenth.

x = 4.53 to the nearest tenth.

What is a quadratic equation?

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

A quadratic equation,

4x²-27x-5 = -10x

Simplifying,

4x²-27x-5 + 10x = 0

4x²-17x-5 = 0

So,

x = {-(-17) ± √(289 + 80)}/8

x = (17 ± √369) / 8

When we take - sign,

x = - 0.276

x = -0.28 to the nearest tenth.

When we take + sign,

x = 4.526

x = 4.53 to the nearest tenth.

Therefore, the values are x = -0.28 and x = 4.53.

To learn more about the quadratic equation;

https://brainly.com/question/17177510

#SPJ2

Please help me with this! I will give 25 points and Brainliest if it is correct!

Which ratio is equivalent to 4:5?

A. 10/15

B. 4/10

C. 16/20

D. 15/ 8

Answers

Answer:16/20

Step-by-step explanation:  

if you divide the two numbers by 4 you have:

16/4=4

20/4=5

(if you divide or multiply both of the numbers with the same number, the ratio will remain the same)

So the two numbers are same

The answer is 16/20 I really hope this helps

Emily sold lemonade. Each serving of lemonade was 8 fluid ounces. Which measurement is equivalent to each serving of lemonade Emily sold?

Answers

Answer:

Catch Me Knuckles!

Step-by-step explanation:

The total charge for a yearly internet DVD rental membership is $231. A registration fee of $15 is paid up front , and the rest is paid monthly. Write an equation to determine how much new members pay each month, m.
How much do new members pay each month,m.

Answers

Answer:

89 cents.

Step-by-step explanation:

hope this helps

What is the solution to 3.25k + 1 - 4.25k = -2

Answers

Answer: K=3

Step-by-step explanation: Have a nice day!-Lily ^_^

K=3 is the answer my work is in the picture

To complete a task in 15 days, a company has 4 people each working 8 hours a day. The company
decide to have 5 people each working 6 hours a day. Assume that each person works at the same
rate.

a) How many days will it take the 5 people to complete the task?

b)Comment on how the assumption affects your answer to part (a).​​

Answers

Answer:

Let's suppose that each person works at an hourly rate R.

Then if 4 people working 8 hours per day, a total of 15 days to complete the task, we can write this as:

4*R*(15*8 hours) = 1 task.

Whit this we can find the value of R.

R = 1 task/(4*15*8 h) = (1/480) task/hour.

a) Now suppose that we have 5 workers, and each one of them works 6 hours per day for a total of D days to complete the task, then we have the equation:

5*( (1/480) task/hour)*(D*6 hours) = 1 task.

We only need to isolate D, that is the number of days that will take the 5 workers to complete the task:

D = (1 task)/(5*6h*1/480 task/hour) = (1 task)/(30/480 taks) = 480/30 = 16

D = 16

Then the 5 workers working 6 hours per day, need 16 days to complete the job.

b) The assumption is that all workers work at the same rate R. If this was not the case (and each one worked at a different rate) we couldn't find the rate at which each worker completes the task (because we had not enough information), and then we would be incapable of completing the question.

Please help me? I’ll give brainliest

Answers

Answer:

left 4 up one because the coordinates are -4 , 1

Answer:

the first one (-4, 1)

Step-by-step explanation:

What are the like terms in the following algebraic expression? 5 - 3y + 2x - 5y + x - 2 + 3x^2

Answers

Answer:

3y+2x+5y+3x

Step-by-step explanation:

sepreate the varible numbers from the reguler

how can i teach an entire year of alg 2 before next school year? i learned nothing this year and i want to take an advanced physics class next year but i’m scared it will affect me if i don’t learn it on my own ://

Answers

Answer:

use khan academy, its a website or an app which a lot of kids which are homeschooled learn education on.

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