Ask question

Ask question

All categories

3 years ago

10

Owen and his friend Kayden are going to a carnival that has games and rides. Owen played 5 games and went on 6 rides and spent a

total of $28.75. Kayden played 4 games and went on 3 rides and spent a total of $16.25. Determine the cost of each game and the cost of each ride.

1 answer:

Dafna1 [17]3 years ago

4 0

Answer:

Each game costs 1.25 and each ride costs 3.75

Step-by-step explanation:

You might be interested in

If anyone plays pokemon go put your code in your answer and I will add you

Alona [7]

that's not why this app is for

6 0

3 years ago

Read 2 more answers

EXPLAIN why we placed the value of x= 4/3( the minimum value) into the equ of gradient(dy/dx) [in the answer, marking scheme att

aliina [53]

$y=x(x-2)^2$
$\implies y'=(x-2)^2+2x(x-2)=3x^2-8x+4=(3x-2)(x-2)=0$
$\implies x=\dfrac23,x=2$

are the critical points, and judging by the picture alone, you must have $b=\dfrac23$ and $a=2$ . (You might want to verify with the derivative test in case that's expected.)

Then the shaded region has area

$\displaystyle\int_0^2x(x-2)^2\,\mathrm dx=\dfrac43$

I'll leave the details to you.

Now, for part (iv), you're asked to find the minimum of $\dfrac{\mathrm dy}{\mathrm dx}=y'$ , which entails first finding the second derivative:

$y'=3x^2-8x+4$
$\implies y''=6x-8$

setting equal to 0 and finding the critical point:

$6x-8=0\implies x=\dfrac86=\dfrac43$

This is to say the minimum value of $\dfrac{\mathrm dy}{\mathrm dx}$ *occurs when $x=\dfrac43$ *, but this is not necessarily the same as saying that $\dfrac43$ is the actual minimum value.

The minimum value of $\dfrac{\mathrm dy}{\mathrm dx}$ is obtained by evaluating the derivative at this critical point:

$m=\dfrac{\mathrm dy}{\mathrm dx}\bigg|_{x=4/3}=3\left(\dfrac43\right)^2-8\left(\dfrac43\right)+4=-\dfrac43$

4 0

4 years ago

How many calories will Darrel burn in 1 minute while kayaking enter the answer below in the box 50/200, 100/400, 150/600, 200/80

ra1l [238]

Answer:100/400

Step-by-step explanation:

8 0

3 years ago

You and your friend share a package of candies. You eat twice as many candies as your friend. If there were 36 candies in the ba

Masja [62]

C + 2c = 36
3c = 36
c = 12
Answer 12

5 0

3 years ago

Read 2 more answers

Walters weekly take home pay is $354.90, which is 78% of his gross pay (before deductions). what is Walter's weekly gross pay?

Butoxors [25]

$432.978 or $432.98 is the answer

7 0

3 years ago