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uranmaximum [27]
3 years ago
12

Movie ticket sales are as follows: Adult: 20 tickets for $250 Child: 15 tickets for $71.25 Senior: 5 tickets for $37.50 How much

does one (1) CHILD ticket cost?​
Mathematics
2 answers:
maxonik [38]3 years ago
8 0
The answer is $4.75 take 71.25 divide it by 15
Anit [1.1K]3 years ago
5 0

Answer:

$12.50

Step-by-step explanation:

take $250 and divide by 20

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Nirmala graphed the relationship between the duration (in hours) of using an oil lamp and the volume (in milliliters) of oil rem
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Answer:

Nirmala can use the lamp for 31.66 hours before it runs out of oil.

Step-by-step explanation:

From the graph,

Take any two points, let say

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(25, 10)

\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(15,\:25\right),\:\left(x_2,\:y_2\right)=\left(25,\:10\right)

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The equation of line in slope-intercept form

y = mx + b

Putting m=-\frac{3}{2}  and any point, let say (25, 10), to find the y-intercept 'b'

10=-\frac{3}{2}\left(25\right)+b

-\frac{3}{2}\left(25\right)+b=10

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\mathrm{Add\:}\frac{75}{2}\mathrm{\:to\:both\:sides}

-\frac{75}{2}+b+\frac{75}{2}=10+\frac{75}{2}

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y = mx + b

y=-\frac{3}{2}x+47.5

In order to find how long Nirmala can use the lamp before it runs out of oil, we need to find x-intercept which can be obtained by putting y = 0, and solve for x, as duration lies on x-axis.

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y=-\frac{3}{2}x+47.5

Putting y = 0

0=-\frac{3}{2}x+47.5

-\frac{3}{2}x+47.5=0

-\frac{3}{2}x=-47.5

\mathrm{Multiply\:both\:sides\:by\:}2

2\left(-\frac{3}{2}x\right)=2\left(-47.5\right)

-3x=-95

\mathrm{Divide\:both\:sides\:by\:}-3

\frac{-3x}{-3}=\frac{-95}{-3}

x=\frac{95}{3}

x=31.66

Therefore, Nirmala can use the lamp for 31.66 hours before it runs out of oil.

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