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
Lady_Fox [76]
3 years ago
6

the tickets for a benefit concert were $6 for friday night and $8 for Saturday night. the total attendence for the two nights wa

s 1090 people. if the total receipts for the two nights were 7856 how many people attended each night
Mathematics
1 answer:
aksik [14]3 years ago
7 0

Answer:

432 people on Friday and 658 on Saturday

Step-by-step explanation:

Lets use variables for each day

x=Friday and y=Saturday

now write two equations since you were given two different information (money and people)

$6 on Friday and $8 on Saturday with a total amount of $7856

the equation will be 6x+8y=7856

now the second equation will be for people

x amount of people on Friday and y amount of people on saturday for a total of 1090; the equation will be

x+y=1090

put them together

6x+8y=7856

x+y=1090

now you can cancel a variable but manipulating one of the equations. We'll use x, to cancel x you need make it zero so multiply the bottom by -6

6x+8y=7856

-6(x+y=1090)

6x+8y=7856                   now subtract downwards, with the x cancelling

-6x-6y=-6540

2y=1316                          simplify

(2y/2)=(1316/2)              

y=658

                                       insert y into x+y=1090

x+(658)=1090

    -658   -658

x=432

You might be interested in
Plz help! Ive been stuck on this for hours!!!!
Marysya12 [62]

Answer:

h\geq8

Step-by-step explanation:

h-(-2)\geq10=h+2\geq10

subtract 2 on both sides to get h\geq8

3 0
3 years ago
Read 2 more answers
HELP PLEASE!!!!!!????
otez555 [7]

Answer:

Step-by-step explanation:

c. 235.00 intrest rate

3 0
3 years ago
Read 2 more answers
Which expression is equivalent to StartFraction 28 p Superscript 9 Baseline q Superscript negative 5 Baseline Over 12 p Superscr
lara31 [8.8K]

Answer:

its c

Step-by-step explanation:

7 0
4 years ago
Read 2 more answers
The top and bottom margins of a poster are 8 cm and the side margins are each 6 cm. If the area of printed material on the poste
hammer [34]

Answer:

Dimensions of the poster

Width  29.10 cm

Height 38.80 cm

A(min) = 1129.08 cm²

Step-by-step explanation:

Printed area = 390 cm² = Ap

Lets call x and y dimensions of printed area

x   width

y   height

Then Ap = x*y    and

y = Ap/x    ⇒    y = 390/x

Then   total area of the poster is:

A(t)  = ( x  + 12 ) * ( y + 16 )         and   y = 390/x

A as a function of x

A(x) = ( x  + 12 ) * ( 390/x + 16 )   ⇒  A(x) = 390 + 16x + 4680/x + 192

A(x) = 582 + 16x + 4680/x     (1)

Taking derivatives

A´(x) =  16 - (4680/x²)         ⇒ A´(x)  =  0

[ 16x² -4680] /x² = 0     16x²- 4680 = 0    ⇒     x² = 4680/16

x = 17.10 cm        and    y = 390/x      y = 390/17.10      y = 22.80 cm

A(t) = ( 17.10 + 12 ) * ( 22.80 + 16 )

A(t) = 29.10 * 38.80

A(t) = 1129.08 cm²

If we substitute  in equation (1) the value of x  ( 17.10) we see A(x) > 0

Then there is a minimun at the point x = 17.10

4 0
4 years ago
Which statements below are TRUE about perpendicular lines? I. Perpendicular lines intersect II. Perpendicular lines create right
Oxana [17]

Answer:

Step-by-step explanation:

Two lines are perpendicular to each other if they both intersects and the two lines are inclined at angle 90°

Since they are inclined at 90° to each other, hence they create right angles.

The lines can also lines on the same plane to form a right angles. This are called coplanar lines.

From the above explanation, the following are true;

I) Perpendicular lines intersect

II) Perpendicular lines create right angles

V) Perpendicular lines are coplanar

They are not collinear because they can't lie on the same straight line. Collinear lines are known to lie on the same straight line.

4 0
3 years ago
Other questions:
  • In a certain state, license plates consist of three letters followed by three numbers.
    7·1 answer
  • A line has the points (3,7) and (5,19) on it. What is the slope of that line?
    13·1 answer
  • Help please <br>hdjsjskssj
    5·1 answer
  • In your notebook, draw several perpendicular lines. What kind of angles are formed?
    8·2 answers
  • PLS HELP WILL MARK BRAINLEST IF U TELL ME HOW FREE 20 POINTS
    5·2 answers
  • Ms. Monroe mixes 200 cubes of 4 different colors for a project. She then uses a scoop to place 20 cubes into each of 10 paper ba
    8·2 answers
  • Takiya recorded the heights of two sets of plants, one set planted in the shade and one set planted in full sun. Her data are sh
    6·2 answers
  • Draw a segment perpendicular to each given segment. Show your thinking by sketching triangles as needed.
    7·1 answer
  • The mean (average) number of albums released by the four artists is 7 albums. Calculate the mean absolute deviation (MAD) of the
    5·1 answer
  • Shahida has seen an eagle landing at the top of the tree in her backyard. She places a camera on a tripod a distance of 12 feet
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!