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
8090 [49]
3 years ago
8

A radio station had 192 tickets to a concert. they gave away 5 times as many tickets to listeners as to the employees. how many

tickets did they give away to employees?
A. 32
B.6
C.37
D.5
Mathematics
1 answer:
Nostrana [21]3 years ago
8 0

Answer: OPTION A.

Step-by-step explanation:

Let be "e" the number of tickets that the radio station gave away to employees and "l" the number of tickets that the radio station gave away to listeners.

Based on the data given in the exercise, you can set up the following System of equations:

\left \{ {{e+l=192 } \atop {l=5e}} \right.

Finally you must apply the Substitution Method to solve the System of equations.

To apply it, you must substitute the second equation into the first one and then you must for the variable "e".

Through this precedure you get the following value of "e":

e+l=192\\\\e+(5e)=192\\\\6e=192\\\\e=\frac{192}{6}\\\\e=32

You might be interested in
Recall from Intermediate Algebra that two non-vertical lines are perpendicular if and only if they have negative reciprocal slop
OLEGan [10]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The line is y  =  -4 x

Step-by-step explanation:

From the question we are told that

The line is y  =  \frac{1}{4} x  + 8

The point is P(0,0 )

Generally the equation for a line is yn =  mx  + c

Now comparing this with the given equation we see that

m  =\frac{1}{4} =  slope

C  =8  =  intercept

Generally the slope of the perpendicular to the given line is mathematically evaluated as

m_1  = -  \frac{1}{m}

=> m_1  = -  \frac{1}{ \frac{1}{4}}

=> m_1  = -4

Generally from the univesal equation of a line and the given point we have that

y = mx + c at p(0,0) and m_1 =  -4 is

0 = -4 (0 ) + c

=> c = 0

Hence the equation perpendicular to the line given at the point given is

y  =  -4 x

8 0
3 years ago
1. The equation y=x^2-9x+20 models the roller coasters path over time. The variable y represents height (in feet) above or below
azamat

Answer:

1) the factored form is  y= ( x-5 ) ( x+4 )

2) the vertex is (4.5, -0.25)

3) the y intercept is when x equals 0 so it is at (0,20)

4) it opens upward and the vertex is (4.5, -0.25) the x intercepts are (4,0) and (5,0) and the y intercept is  (0,20)

5)

a. it dips  between 4 seconds and 5 seconds so the x intercepts are (4,0) and (5,0)

b. it is taken at the vertex aka the lowest point so the height is -0.25

8 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP I’LL GIVE BRAINLEST ITS ALEKS ALGEBRA 2 MATH
vlada-n [284]
A)
145 - 5d
5d = 145, set equal

29 days to lay all the track

b)
5*19 = 95

145-95 = 50

After 19 days, they have 50 miles to go.
4 0
3 years ago
Read 2 more answers
34,977 ×2,344 is even are odd number
Contact [7]

Answer:

The answer to 34,977* 2,344 is 81986088. Therefore, it is an even number.

Step-by-step explanation:

6 0
3 years ago
Factors can be defined as ________ which divide the dividend without leaving any reminder​
Svetradugi [14.3K]

Answer:

Factors can be defined as a number or algebraic expression which divide the dividend without leaving any reminder.

7 0
3 years ago
Other questions:
  • Please Help..........................
    6·2 answers
  • The area of a square is 4 square meters. How long is each side? Please show every step.
    10·2 answers
  • What is the sum of 667 and 23?<br> a. 29<br> b. 15,341<br> c. 644<br> d. 690
    11·1 answer
  • A square orange rug has a green square in the center. The side length of the green square is x inches. The width of the orange b
    6·1 answer
  • Which one of the following statements is it ?
    6·2 answers
  • Susan wants to buy a paddleboat for $840 she'll pay 20% down and pay the rest in six monthly installments what will be the amoun
    11·1 answer
  • Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit
    6·1 answer
  • Can someone solve the hypotenuse for me? <br> Thank you!
    13·1 answer
  • It took 4 hours to drive 240. At this rate,how long does it take to drive 90 miles?
    13·1 answer
  • A pencil box and a notebook together cost $6.28 the notebook cost $0.70 more than the pencil box . How much does the notebook co
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!