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xeze [42]
3 years ago
14

If 141 people attend a concert and tickets for adults cost $3.5 while tickets for children cost $2.5 and total receipts for the

concert was $421.5, how many of each went to the concert?
Mathematics
1 answer:
Arturiano [62]3 years ago
6 0

Answer: There are 69 adults and 72 children went to the concert.

Step-by-step explanation:

Let x be the number of adults, and y be the number of children.

x + y = 141

3.5x + 2.5y = 421.5

x + y =141

x = 141 - y

3.5(141 - y) + 2.5y = 421.5

493.5 - 3.5y + 2.5y = 421.5

493.5 - y = 421.5

-y = -72

y = 72

x + y = 141

x + 72 = 141

x = 69

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Advocard [28]

The slope of a line perpendicular to the

graph of the equation 5x - 3y = 2 is -3/5.

<h3>How to find the slope of a line?</h3>

given that the equation is 5x - 3y = 2.

now write the equation in standard form y = mx + b

then -3y = 2 - 5x

y = -2/3 + 5x/3

y = 5/3x - 2/3

m 1*m 2 = - 1 is the formula for the slopes from a pair of perpendicular lines. where the slopes of the lines are m 1 and m 2.

Here m1 = 5/3 and m2 = -3/5.

Hence,the slope of a line perpendicular to the

graph of the equation 5x - 3y = 2 is -3/5.

Learn more about slope of the line from here:

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3 0
1 year ago
PLEASE HELP ASAP!!!!
Veseljchak [2.6K]

Answer:

Step-by-step explanation:

R(0,0)

A=((0+2a)/2,(0+2b)/2)=(a,b)

S(2a,2b)

B=((2a+2c)/2,(2b+2d)/2)=(a+c,b+d)

T(2c,2d)

C=((2c+2c)/2,(2d+0)/2)=(2c,d)

V(2c,0)

D=((2c+0)/2,(0+0)/2)=(c,0)

R(0,0)

slope of AB=(b+d-b)/(a+c-a)=d/c

slope of DC=(d-0)/(2c-c)=d/c

slope of AD=(0-b)/(c-a)=-b/(c-a)

slope of BC=(d-b-d)/(2c-a-c)=-b/(c-a)

7 0
3 years ago
What is -2-(-7) <br><br> Plsss explain
MrMuchimi

Answer:

14 I think I'm. it completely sure

8 0
3 years ago
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noname [10]

Answer:

40 student 110 adult

this is using desmos

but to smash the equation you can go like basically we have to cancel out each variable to solve for the other

3x + 8y = 1000

x + y < =150

-3(x + y <= 150)

-3x -3y = -450

3x + 8y = 1000

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y= 110

3x + 8 y = 1000

-8(x+y<=150) = -8x - 8y <= -1200

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\frac{ - 5x}{ - 5 }   = x

\frac{ - 200}{ - 5}  = 40

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2 years ago
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In-s [12.5K]

Answer: it equals 20

Step-by-step explanation:

10 x 20 = 120, hoped this helped.

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3 years ago
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