Please help me out :((

Mathematics

1 answer:

Rudiy273 years ago

7 0

Answer:

131 and 49 degrees

Step-by-step explanation:

i am smart

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At the movie theatre, child admission is $5.30 and adult admission is $9.70. On Wednesday, 156 tickets were sold for a total sal

serious [3.7K]

Answer:

The number of adult tickets are 57.

Step-by-step explanation:

Given,

Total number of tickets = 156

Total money = $1077.60

Solution,

Let the number of adult be x and of child be y .

So, Total number of tickets = Number of adults + Number of child

$\therefore x+y = 156\ \ \ \ \ \ equation\ 1$

Now, according to question;

Total money = $Number\ of\ adults\times admission\ fee + Number\ of\ child\times admission\ fee$

$\therefore x\times 9.70+y\times 5.30 = 1077.60\ \ \ \ \ \ equation\ 2$

On multiplying by 10 on both side, we get;

$97x+53y=10776\ \ \ \ \ \ equation\ 3$

Now multiplying equation 1 by 53 then subtract it from equation 3, we get;

$(x+y)\times53 = 156\times53\\53x+53y=8268\\(97x+53y=10776)-(53x+53y=8268)\\44x=2508\\x=\frac{2508}{44} =57$

Since x is the number of adults,

Number of adults=57

Number of child = y = 156-57=99

Thus the number of adult tickets are 57.

7 0

3 years ago

The difference of a number x and 1/2

Yuliya22 [10]

X - 1/2 (if you meant the difference between)

8 0

4 years ago

HELP The minute hand of a clock is 5 inches long. to the the nearest tenth of an inch, how far does the tip of the minute hand t

faltersainse [42]

Answer:

18.326 inches

Step-by-step explanation:

The question is basically asking us to find the arc length that the tip of the minute hand travels. The formula for an arc length is S=θr. So we need th find the angle that the minute hand passes through. We know that there is 360 degrees in a cicle and there is 12 stops around a clock, so divide 360 by 12 to find the degrees the minute hand travels every 5 minutes. We ge that every 5 minutes the hand travels 30 degrees, and 35 minutes is 7*5 so we multiple 30*7 to find the angular displacement, and we get 210 degrees. This equation uses radians though so we have to convert, which can be done doing $\frac{210}{1} *\frac{\pi }{180}$ , and we ge that θ is $\frac{7\pi }{6}$ so ( $\frac{7\pi }{6}$ )(5)= 18.326 inches