1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Masteriza [31]
1 year ago
15

All of the 11™ grade teachers and students from gorton went on a trip to a math museum. tickets were $22.00 each for teachers an

d $8.50 each for students, and the group paid $173.00 in total. a few weeks later the same group visited an art museum where the tickets cost $5.50 each for teachers and $2.00 each for students, and the group paid $42.00 in total. find the number of teachers and students on the trips.
Mathematics
1 answer:
Alex787 [66]1 year ago
4 0

The number of teachers is 4 and number of students is 10 on the trips if the tickets were $22.00 each for teachers and $8.50 each for students.

<h3>What is linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

In Maths museum tickets were $22.00 each for teachers and $8.50 each for students, and the group paid $173.00 in total.

Let's suppose the number of teachers is x and number of students is y

22x + 8.5y = 173 ...(1)

5.5x + 2y = 42  ...(2)

After solving the above equation by substitution method we get;

From equation (1):

Multiply by 2 with equation (1)

\rm x=\dfrac{346-17y}{44}

\rm 5.5\cdot \dfrac{346-17y}{44}+2y=42

y = 10

\rm x=\dfrac{346-17\cdot \:10}{44}

x = 4

Thus, the number of teachers is 4 and number of students is 10 on the trips if the tickets were $22.00 each for teachers and $8.50 each for students.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

You might be interested in
The sum of 4 consecutive numbers is 926. Find the four numbers​
Kisachek [45]

Answer:231.5

Step-by-step explanation:

If you divide 926 by 4 you will get 231.5

6 0
3 years ago
Find the length of the third side. If necessary, round to the nearest tenth
Rufina [12.5K]

Answer:

30

Step-by-step explanation:

third side is the hypotenuse since it is opposite to 90 degree.

using pythagoras theorem

a^2 + b^2 = c^2

24^2 + 18^2 = c^2

576 + 324 = c^2

900 = c^2

\sqrt{900} = c

30 = c

therefore third side is 30.

4 0
3 years ago
Read 2 more answers
Find the midpoint between these two points (-7,-6) and (2,5)​ PLEASE ANSWER!
QveST [7]

\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-7}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{5}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{2-7}{2}~~,~~\cfrac{5-6}{2} \right)\implies \left( \cfrac{-5}{2}~~,~~\cfrac{-1}{2} \right)\implies (-2.5,-0.5)

4 0
3 years ago
A packing box has the dimensions 3 by 2 by 5 1/2 feet. What is the volume of the box?
dem82 [27]
As already mentioned, the volume for a rectangular prism, namely a box in this case, is just the product of its dimensions, length * width * height.

\bf \textit{volume of a rectangular prism}\\\\&#10;V=LWH\quad &#10;\begin{cases}&#10;L=length\\&#10;W=width\\&#10;H=height\\&#10;------\\&#10;L=3\\&#10;W=2\\&#10;H=5\frac{1}{2}&#10;\end{cases}\implies V=3\cdot 2\cdot 5\frac{1}{2}&#10;\\\\\\&#10;V=3\cdot 2\cdot \cfrac{5\cdot 2+1}{2}\implies V=6\cdot\cfrac{11}{2}\implies V=3\cdot \cfrac{11}{1}&#10;\\\\\\&#10;V=33

now, as far as another one... hmm is easier if you post in the channel, that way I can include any graphs if needed or tables and such.

so, what happens if you double up the dimensions?

\bf \textit{volume of a rectangular prism}\\\\&#10;V=LWH\quad &#10;\begin{cases}&#10;L=length\\&#10;W=width\\&#10;H=height\\&#10;------\\&#10;L=6\\&#10;W=4\\&#10;H=10&#10;\end{cases}\implies V=6\cdot 4\cdot 10\implies V=240\\\\&#10;-------------------------------\\\\&#10;\begin{cases}&#10;L=6(2)\\&#10;W=4(2)\\&#10;H=10(2)&#10;\end{cases}\implies V=6(2)8(2)10(2)\implies V=(2)(2)(2)6\cdot 8\cdot 10&#10;\\\\\\&#10;V=(8)6\cdot 8\cdot 10\implies V=(8)\stackrel{original~volume}{240}

notice, how many times the new size is, is 8 times the original.
6 0
3 years ago
***Any links will be reported***<br>****i will mark brainliest****​
Monica [59]

Answer:

hambuger cheesebuger big mac whooper

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • a fruitseller bought 200 oranges for 120 a score.He found 25 oranges rotten.He sold the remaining oranges for 5 each.Find his pr
    9·1 answer
  • Numeşte câte un sinonim pentru sensul din text al cuvintelor: despărţire, patimă.
    12·1 answer
  • Darlene heard 5/8 of a 56 page book how many pages did Darlene read
    7·1 answer
  • What is the value of the 12th term in the sequence 4, 12, 36, 108, ...?
    15·1 answer
  • I need help guys I don't get it .. thank you
    6·1 answer
  • Jaclyn paid $620 to stay at a hotel. She paid $124 per
    11·1 answer
  • Multiply.<br> 8u2y6.2u?y?<br> Simplify your answer as much as possible.
    5·1 answer
  • Please answer asap asap JacobEwing this is for you. I can only give 20 points but I'll mark as brainliest
    12·1 answer
  • Answer please You feeling lucky punk
    13·1 answer
  • Aria and her two friends met up for dinner. They want to split the cost of dinner evenly between the friends but first had to ge
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!