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zysi [14]
2 years ago
15

Chloe charged for admission to her play on three different nights. Each night, a different number of people were in attendance,

but remarkably, Chloe collected $541 each night. If the admission charges for each child and each adult were $9 and $17, respectively, how many people in total came to the three showings?
Mathematics
1 answer:
SpyIntel [72]2 years ago
8 0

Answer:

1st Play 45 people; 2nd Play 37 people; 3rd Play 53 people

Step-by-step explanation:

Admission prices were: $9 per child & $17 per adult.

It is only matter of playing with the numbers until you get the number you want. In this case, the number all plays have in common is $541 which represents the amount she collected for attendance.

1st Play 28 children ($252) + 17 adults ($289) = $541 and 45 people

2nd Play 11 children ($99) + 26 adults ($442) = $541 and 37 people

3rd Play 45 children ($405) + 8 adults ($136) = $541 and 53 people

This way, each night the number of people in attendance was different but the amount collected in each play was $541.

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Solve the equation 5y-6=10
BaLLatris [955]

Answer:

y = 3.2

Step-by-step explanation:

Simplifying

5y + -6 = 10

Reorder the terms:

-6 + 5y = 10

Solving

-6 + 5y = 10

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '6' to each side of the equation.

-6 + 6 + 5y = 10 + 6

Combine like terms: -6 + 6 = 0

0 + 5y = 10 + 6

5y = 10 + 6

Combine like terms: 10 + 6 = 16

5y = 16

Divide each side by '5'.

y = 3.2

Simplifying

y = 3.2

8 0
2 years ago
Read 2 more answers
Math problem help me
Ratling [72]

Answer:

y=3x+2

Step-by-step explanation:

To find the equation, use the slope-intercept formula:

y=mx+b

m is the slope and b is the y-intercept. Now, it'll really help to draw a line through the points, connecting them. If you look at point (0,2), we can see that this is the y-intercept (where a point sits on the y-axis when x=0). You can insert this into the equation by taking the y value:

(0,2)\\y=mx+2

Now, take any two points to find the slope. To make it easier, I'll use (1,5) and (0,2). Use the slope formula for when you know two points:

\frac{y(2)-y(1)}{x(2)-(x1)} =\frac{rise}{run}

Rise over run is the change in the y-axis over the change in the x-axis. Insert values:

(1(x1),5(y1))\\(0(x2),2(y2))\\\\\frac{2-5}{0-1}

Solve:

\frac{2-5}{0-1}=\frac{-3}{-1}

Since both are negative, the result is a positive:

\frac{-3}{-1}=\frac{3}{1} =3

Insert this into the equation as m, the slope:

y=3x+2

Done.

6 0
2 years ago
Which equation shows the relationship between x & y?
algol13
I believe it is the first one but I might be wrong.
3 0
3 years ago
Show work please thank you
ira [324]
1) 12 * 9 = 108 cm² - part 1
2) 12 - 3 - 3 = 6 cm
3) 6 * 4 = 24 cm² - part 2
4) 108 + 24 = 132 cm ² - the area.

3 0
3 years ago
The length of a rectangle is 3 times the width. If the length is decreased by 4 meters and the width is increased by 1 meter, th
olga nikolaevna [1]

Good morning☕️

______

Answer:

w is the width

L is the length

p is the perimeter

w=9

L=27

___________________

Step-by-step explanation:

p=2[(L-4) + (w+1)]

⇔p=2[(3w-4) + (w+1)]

⇔p=2[4w-3]

⇔p=8w-6

⇔66=8w-6

⇔8w=72

⇔w=9

Then L=3w=27

:)

6 0
3 years ago
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