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Dahasolnce [82]

2 years ago

5

Antoine is making sushi rolls. He has 2 1/2 cups of rice and will use 1/4 cup of rice for each sushi roll. How many sushi roll c

an he make?

1 answer:

snow_tiger [21]2 years ago

7 0

Answer:

2 and 1/2 cups of rice is 10 sushi rolls he can make.

Step-by-step explanation:

2 and 1/2 is 1/4 ten times as shown below.

1/4, +1/4, +1/4, +1/4, +1/4, +1/4,+ 1/4, + 1/4, +1/4, +1/4 = 10/4 = 2 and 1/2.

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Step-by-step explanation:

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A video game store allows customers to rent games for 4.75 each. Customers can also buy a membership for $54 annually, and video

ankoles [38]

Answer:

24 video games

Step-by-step explanation:

Let x represent number of video games.
We have been given that a video game store allows customers to rent games for $4.75 each. So the cost of renting x video games would be 4.75x.

We are also told that customers can also buys a membership for $54 annually, and video games would only cost $2.50 each. The cost of renting x video games after membership would be 2.50x + 54

To find the number of video-games that will cost same for both options, we will equate both expressions as:

4.75x = 2.50x + 54
4.75x - 2.50x = 2.50x - 2.50x + 54

Therefore, a customer would have rent 24 video games in a year in order for the two options to be equal.

3 0

2 years ago

Identify which of these designs is most appropriate for the given experiment: completely randomized design, randomized blockd

sasho [114]

Answer:

Matched pairs design

Step-by-step explanation:

Looking at the options;

-It's not a completely randomized design because a randomized design will assign all individuals to a group which in this case it doesn't.

- It's not a randomized block design because randomized block design will group the subjects in question into 2 or more blocks which have a common characteristic and will then randomly assign subjects in each of the blocks.

-It's a matched pair because every individual/subject undergoes measurements both before and after being treated with the drugs.

Thus, the correct option is matched pairs design.

7 0

2 years ago

Find dy du , du dx , and dy dx .

dangina [55]

Answer:

a) $\frac{dy}{du}=5(x^2 +1)^4$ , $\frac{du}{dx}=2x$ , $\frac{dy}{dx}=10x(x^2+1)^4$

b) $\frac{dy}{du}=4(4x^2-x+6)^3$ , $\frac{du}{dx}=8x-1$ , $\frac{dy}{dx}=4(8x-1)(4x^2-2+6)^3$

Step-by-step explanation:

We can use the chain rule in the following form: is u=u(x) is a differentiable function depending on x and y=y(u) is a differentiable function depending on u, then $\frac{dy}{dx}=\frac{dy}{du} \frac{du}{dx}$ .

a) $\frac{dy}{du}=\frac{d}{du} (u^5)=5u^4=5(x^2 +1)^4$ from the power rule.

$\frac{du}{dx}=\frac{d}{dx} (x^2 +1)=2x$ .

From the previous parts and the chain rule, $\frac{dy}{dx}=\frac{dy}{du} \frac{du}{dx}=5(x^2 +1)^4(2x)=10x(x^2+1)^4$

b) $\frac{dy}{du}=\frac{d}{du} (u^4)=4u^3=4(4x^2-x+6)^3$

$\frac{du}{dx}=\frac{d}{dx} (4x^2-x+6)=8x-1$ from the power and sum rules.

Then, $\frac{dy}{dx}=\frac{dy}{du} \frac{du}{dx}=4(4x^2 -x+6)^3(8x-1)=4(8x-1)(4x^2-x+6)^3$

8 0

3 years ago