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vladimir2022 [97]
3 years ago
11

6. There are 90 seats in the school auditorium. The school had a sold out show of their play last weekend, and made $315. The co

st of a ticket for an adult was $5.00 and the cost of a ticket for a child is $2.50. Which system of equations could be used to determine the number of adults, a, and the number of children, c, that attended the showing of the movie? Group of answer choices 2.5a+5c=90 2.5 a + 5 c = 90 a+c=315 a + c = 315 a+c=90 a + c = 90 5a+2.5c=315 5 a + 2.5 c = 315 5a+2.5c=90 5 a + 2.5 c = 90 a+c=315 a + c = 315 a+c=90 a + c = 90 2.5a+5c=315
Mathematics
1 answer:
Olegator [25]3 years ago
4 0

Answer:

90

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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A potato gun is a device made out of plastic pipe that launches a potato using compressed air. They can be great fun, and even e
snow_tiger [21]

Answer:

The potato is 224 feet in the air after 2.75 second on the way up and after 5 seconds on the way back down.

Step-by-step explanation:

Given :  A potato launched by a particular potato gun has a height described by  h ( t ) =-16 t^2+124 t+4.

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Solution :

When the potato is 224 feet in the air i.e. h(t)=224

Substitute in the equation h ( t ) =-16 t^2+124 t+4,

224=-16 t^2+124 t+4

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Applying quadratic formula, x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

Here, a=4, b=-31 and c=55

t=\frac{-(-31)\pm\sqrt{(-31)^2-4(4)(55)}}{2(4)}

t=\frac{31\pm\sqrt{81}}{8}

t=\frac{31\pm9}{8}

t=\frac{31+9}{8},\frac{31-9}{8}

t=5,2.75

The potato is 224 feet in the air after 2.75 second on the way up and after 5 seconds on the way back down.

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Step-by-step explanation:

Simply divide by c to isolate x.

\frac{cx}{c}=\frac{d+r}{c}

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