Ask question

Ask question

All categories

2 years ago

7

At the AoPS office, mice vary inversely with cats, that is, $\text{mice}=\frac{k}{\text{cats}}$, for some value of $k$. When the

re are $3r-19$ cats, there are $2r+1$ mice, and when there are $6r-27$ mice, there are $r-5$ cats. Find $k$. I really need help, thanks.

1 answer:

lesya692 [45]2 years ago

5 0

Answer:

540

Step-by-step explanation:

im terrible at explaining so-

You might be interested in

A rectangle in Quadrant II rotates 90° counterclockwise about the origin. In which Quadrant will the transformation lie?

OLga [1]

The transformation will lie in Quadrant III

8 0

2 years ago

What would be the fraction of 1/2 = wht fraction of /8

kaheart [24]

Answer:

Number would be <u>4</u> to the fraction of $\frac{4}{8} =\frac{1}{2}$

Step-by-step explanation:

Given:

$\frac{1}{2}= \frac{\textrm{Number to find}}{8}\\\textrm{Number to find} =\frac{8}{2}=4$

Hence the Number would be 4 when it is divided 8 by we get the value as $\frac{1}{2}$ which is exactly what it is required so.

$\frac{1}{2}=\frac{4}{8}$

6 0

2 years ago

members of the wide waters club pay 105 dollars per summer season, plus 9.50 each time they rent a boat. Nonmembers must pay 14.

WITCHER [35]

When handling problems of this nature make sure you setup the equations.
x = number of times they rent a boat.

Members
Cost = 105 + 9.50x
Non members because members don't have to pay the 105 we leave it out.
Cost = 14.75x

so now to determin when cost would be equal we set the two equations = to each other

105 + 9.50x = 14.75x

now solve for x

105 = 5.25x

20 = x

so they would have to rent 20 times to equal each other.

4 0

2 years ago

Each week Charlene uses 3/4 of a bag of cat food to feed her cats. She has 112 bags of cat food in stock. How long will her stoc

inessss [21]

The stock of cat food will last for 149 weeks.

Step-by-step explanation:

Given,

Bags of cat food in stock = 112

Bags used each week = $\frac{3}{4}\ of\ one\ bag$

Let,

x be the number of weeks.

Therefore,

$\frac{3}{4}x=112$

Multiplying both sides by 4/3

$\frac{4}{3}*\frac{3}{4}x=112*\frac{4}{3}\\x=\frac{448}{3}\\x=149.33$

Rounding off to nearest whole number;

x=149

The stock of cat food will last for 149 weeks.

Keywords: fraction, multiplication

Learn more about fractions at:

#LearnwithBrainly

4 0

3 years ago

What multiplication fact can you double to find 4x7

AnnZ [28]

You can do subtract half of 4 which is 2 and multiply by 2 by 7 so it will be 2x14 which is the same thing as 7x4<span />

5 0

2 years ago

Read 2 more answers