Ask question

Ask question

All categories

3 years ago

8

sarah decides to take her six year old son to the circus. the price for the child ticket is 4.75 dollars les then the price for

the adults tickets. if you represent the price for the childs ticket using the variable "x" how would you write the algebraic expressions for the adults ticket price

1 answer:

Alex17521 [72]3 years ago

6 0

X+4.75= adult ticket price.

Hope this helps

You might be interested in

The radius of a cone is increasing at a constant rate of 7 meters per minute, and the volume is decreasing at a rate of 236 cubi

storchak [24]

Answer:

The rate of change of the height is 0.021 meters per minute

Step-by-step explanation:

From the formula

$V = \frac{1}{3}\pi r^{2}h$

Differentiate the equation with respect to time t, such that

$\frac{d}{dt} (V) = \frac{d}{dt} (\frac{1}{3}\pi r^{2}h)$

$\frac{dV}{dt} = \frac{1}{3}\pi \frac{d}{dt} (r^{2}h)$

To differentiate the product,

Let r² = u, so that

$\frac{dV}{dt} = \frac{1}{3}\pi \frac{d}{dt} (uh)$

Then, using product rule

$\frac{dV}{dt} = \frac{1}{3}\pi [u\frac{dh}{dt} + h\frac{du}{dt}]$

Since $u = r^{2}$

Then, $\frac{du}{dr} = 2r$

Using the Chain's rule

$\frac{du}{dt} = \frac{du}{dr} \times \frac{dr}{dt}$

∴ $\frac{dV}{dt} = \frac{1}{3}\pi [u\frac{dh}{dt} + h(\frac{du}{dr} \times \frac{dr}{dt})]$

Then,

$\frac{dV}{dt} = \frac{1}{3}\pi [r^{2} \frac{dh}{dt} + h(2r) \frac{dr}{dt}]$

Now,

From the question

$\frac{dr}{dt} = 7 m/min$

$\frac{dV}{dt} = 236 m^{3}/min$

At the instant when $r = 99 m$

and $V = 180 m^{3}$

We will determine the value of h, using

$V = \frac{1}{3}\pi r^{2}h$

$180 = \frac{1}{3}\pi (99)^{2}h$

$180 \times 3 = 9801\pi h$

$h =\frac{540}{9801\pi }$

$h =\frac{20}{363\pi }$

Now, Putting the parameters into the equation

$\frac{dV}{dt} = \frac{1}{3}\pi [r^{2} \frac{dh}{dt} + h(2r) \frac{dr}{dt}]$

$236 = \frac{1}{3}\pi [(99)^{2} \frac{dh}{dt} + (\frac{20}{363\pi }) (2(99)) (7)]$

$236 \times 3 = \pi [9801 \frac{dh}{dt} + (\frac{20}{363\pi }) 1386]$

$708 = 9801\pi \frac{dh}{dt} + \frac{27720}{363}$

$708 = 30790.75 \frac{dh}{dt} + 76.36$

$708 - 76.36 = 30790.75\frac{dh}{dt}$

$631.64 = 30790.75\frac{dh}{dt}$

$\frac{dh}{dt}= \frac{631.64}{30790.75}$

$\frac{dh}{dt} = 0.021 m/min$

Hence, the rate of change of the height is 0.021 meters per minute.

3 0

3 years ago

I need help with this

Maksim231197 [3]

Answer: 4.75

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Kyra has a rock collection.When she puts her rocks into 2 equal piles,there are no rocks left over.When she puts her rocks into

liubo4ka [24]

any multiple of 12

Since 2, 3 and 4 divide exactly into the number of rocks

We are looking for the common multiples of 2, 3 and 4

2 × 3 × 4 = 24 is possible but dividing by 2 gives 12 the lowest common multiple

Any multiple of 12 gives a possible number of rocks.

8 0

3 years ago

Mr. Smith's salary is $35,873.His wife salary is $32,870.what is their combined income?

Dmitriy789 [7]

There combined in come would be <span>68,745 if you put them together i dont know if thats one of the awnsers but i think that should be right

</span>

8 0

3 years ago

Read 2 more answers

Solve 5^2x+1-5^2x=150 with steps

tiny-mole [99]

Answer:

x = 2.98

Step-by-step explanation:

5^2x + 1 - 5^2x = 150

25x + 1 + 25x = 150

50x + 1 = 150

50x = 149

x = 2.98

5^2x + 1 - 5^2x = ?

5^2(2.98) + 1 - 5^2(2.98) = ?

25(2.98) + 1 + 25(2.98) = ?

74.5 + 1 + 74.5 = ?

149 + 1 = ?

150 = ?

4 0

3 years ago

Read 2 more answers