There are 9cans that can store 45 tennis balls what is the constant of the proportionality for this situation

1 answer:

4 0

Let the total number of cans be x and the total number of tennis balls be y,

Since increasing the total number of cans causes the total number of tennis balls to increase too, x and y is direct in proportion.

Let the constant be k,
y = kx
45 = k9
k = 45/9
= 5

The constant of the proportionality for this situation is 5.

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the bakers at healthy bakery can make 220 bagels in 10 hours.How many bagels can they bake in 13 hours? what was that rate per h

kodGreya [7K]

First you need to divide 220/10 to see how many bagles they make an hour.
220/10=22
Then you Multiply 22*13 and you get 286.
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7 0

4 years ago

Read 2 more answers

1 pt) If a parametric surface given by r1(u,v)=f(u,v)i+g(u,v)j+h(u,v)k and −4≤u≤4,−4≤v≤4, has surface area equal to 1, what is t

natta225 [31]

The area of the surface given by $\vec r_1(u,v)$ is 1. In terms of a surface integral, we have

$1=\displaystyle\int_{-4}^4\int_{-4}^4\left\|\frac{\partial\vec r_1(u,v)}{\partial u}\times\frac{\partial\vec r_1(u,v)}{\partial v}\right\|\,\mathrm du\,\mathrm dv$

By multiplying each component in $\vec r_1$ by 5, we have

$\dfrac{\partial\vec r_2(u,v)}{\partial u}=5\dfrac{\partial\vec r_1(u,v)}{\partial u}$

and the same goes for the derivative with respect to $v$ . Then the area of the surface given by $\vec r_2(u,v)$ is

$\displaystyle\int_{-4}^4\int_{-4}^425\left\|\frac{\partial\vec r_1(u,v)}{\partial u}\times\frac{\partial\vec r_1(u,v)}{\partial v}\right\|\,\mathrm du\,\mathrm dv=\boxed{25}$