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
AlexFokin [52]
3 years ago
6

8. The talent show committee sold a total of 530 tickets in advance. Student

Mathematics
1 answer:
Alex Ar [27]3 years ago
3 0

Answer:

Number of students tickets sold = x = 380 tickets

Number of adults tickets sold = y = 150 tickets

Step-by-step explanation:

Let

Number of students tickets sold = x

Number of adults tickets sold = y

x + y = 530 (1)

3x + 4y = 1740 (2)

From (1)

x = 530 - y

Substitute x = 530 - y into (2)

3x + 4y = 1740

3(530 - y) + 4y = 1740

1590 - 3y + 4y = 1740

- 3y + 4y = 1740 - 1590

y = 150

Substitute y = 150 into (1)

x + y = 530

x + 150 = 530

x = 530 - 150

x = 380

Number of students tickets sold = x = 380 tickets

Number of adults tickets sold = y = 150 tickets

You might be interested in
A drawing of a tree and a wall are in the image below.
mina [271]

Answer:

<em>Choice B. 16 feet.</em>

<em>The height of the tree is 16 ft</em>

Step-by-step explanation:

<u>Similar Triangles</u>

Similar triangles have their corresponding side lengths proportional by a fixed scale factor.

We are given the drawings of a tree and a wall and it's assumed both triangles are similar. We need to find the scale factor and find the height of the tree.

Comparing the corresponding distances from the viewer to the base of the tree and the base of the wall, we can calculate the scale factor as 24/6=4.

Applying the same factor to the height of the model, we get the height of the tree is 4*4 = 16 ft.

Choice B. 16 feet

The height of the tree is 16 ft

6 0
3 years ago
Help Please.Use complete sentences to explain the steps required in converting 180 degrees to its equivalent radian measure. Inc
Phoenix [80]
To convert 180 degrees to its equivalent radian measure, multiply it with π/180.
180 (π/180)
The result is π radians.
This is also how the other angles in degrees are converted to radians. Simply multiply with π/180 and express the result in terms of pi.<span />
4 0
3 years ago
Define highest common factor
wariber [46]

Answer:

Of two numbers, The largest whole number which is a factor of both.

Step-by-step explanation:

6 0
3 years ago
Translate<br> Solve the equation.<br> 3m= 5(m + 3)-3<br> HELP
kvasek [131]

Answer:

m = -6

Step-by-step explanation:

3m= 5(m + 3)-3

Distribute

3m = 5m +15 -3

Combine like terms

3m = 5m +12

Subtract 5m

3m-5m = 5m+12-5m

-2m = 12

Divide by -2

-2m/-2 = 12/-2

m = -6

7 0
3 years ago
The temperature falls from 0 degrees to Negative 12 and one-fourth degrees in 3 and one-half hours. Which expression finds the c
ANEK [815]

Answer:

The expression used to find the change in temperature per hour is Algebraic expression

Thus per hour; the temperature falls at the rate of - 3\dfrac{1}{2}^0

Step-by-step explanation:

A temperature falls from 0 to  - 12\dfrac{1}{4}     in     3\dfrac{1}{2} \ hours

Which expression finds the change in temperature per hour.

From the above given information;

The initial temperature is 0

The final temperature is  - 12\dfrac{1}{4}  

The change in temperature is \Delta T = T_2  -  T_1

\Delta  T = -12\dfrac{1}{4} -0

\Delta T = -12.25

Thus;

-12.25 ° = 3.5 hours

To find the change in x°   per hour; we have;

x°            = 1 hour

The expression used to find the change in temperature per hour is Algebraic expression

From above if we cross multiply ; we have;

(- 12.25° × 1 hour) = (x° × 3.5 hour)

Divide both sides by 3.5 hours; we have:

\dfrac{-12.25^0*1 }{3.5}=\dfrac{ x^0 *3.5}{3.5}

x° =  - 3.5

x° = - 3\dfrac{1}{2}

Thus per hour; the temperature falls at the rate of - 3\dfrac{1}{2}^0

8 0
3 years ago
Other questions:
  • What is 19.1×10^8 cm/min in meters per hour?
    7·1 answer
  • What is one plus two
    6·2 answers
  • A hot air balloon climbs, at a 30 degree angle to the ground, to a height of 800 feet. To the nearest tenth of a foot, what grou
    6·1 answer
  • Professor Clayton hypothesizes that travel to other countries increases students' abilities to do well in advanced sociology cla
    12·1 answer
  • A grocer stacks oranges in a four sided pyramid that is 6 layers high. How many oranges are in the pile
    9·2 answers
  • What is the area of the sector shown in the diagram below?
    14·1 answer
  • caculate the distance between points -3,-4 and -7,3 in the coordinate plane. round your answer to the nearest hundredth​
    9·1 answer
  • Members of a park-walking club were asked how often do they visit a gym or other exercise facility outside their home. The follo
    10·1 answer
  • Frank wants to be an astronaut when he grows up. Last weekend, the science center had an interactive space station exhibit. Fran
    14·1 answer
  • List the sides and angles of △ABC in order from smallest to largest.
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!