All categories

2 years ago

14) If there are 7 dogs for every 4 cats in an animal

Mathematics

1 answer:

Monica [59]2 years ago

7 0

Answer:

819 of the animals are dogs.

Step-by-step explanation:

☆We can solve using proportion.

$\frac{7 \: dogs}{4 \: cats} = \frac{x}{468 \: cats} \\ \\ \frac{4x}{4} = \frac{3276}{4} \\ \\ x = 819$

You might be interested in

Whats -2 and 1/3 times 6

dolphi86 [110]

Answer:

Your answer is -14

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

For positive integers $n$, let $f(n)$ return the smallest positive integer $k$ such that $\frac{1}{k}$ has exactly $n$ digits af

disa [49]

Answer:

There are a total of 2011 integer divisors.

Step-by-step explanation:

The only primes p such that 1/p has finite spaces after the coma are 2 and 5. If we divide a number with last digit odd we will obtain 1 extra digit after the decimal point and if we divide a number by 5 we will obtain 1 more digit if that number has a last digit in the decimal which is not a multiple of 5.

If we take powers of those primes we will obtian one more digit each time. In order to obtain more digits it is convinient to divide by a power of 2 instead of a power of 5, because the resulting number will be smaller.

If we want 2010 digits after the decimal point, we need to divide 1 by 2 a total of 2010 times, hence f(2010) = 2²⁰¹⁰, which has as positive integer divisors every power of 2 between 0 and 2010, hence there are a total of 2011 integer divisors of f(2010).

3 0

3 years ago

A triangle has a square on its three sides as shown below. What is the value of x

anygoal [31]

using the pythagorean theorem

a^2+b^2 = c^2 where c is the hypotenuse

9^2 +12^2 = x^2

81 + 144 = x^2

225 = x^2

taking the square root of each side

sqrt(225) = x

15 =x

x = 15 inches

3 0

3 years ago

Read 2 more answers

A bottle contains 30 fluid ounces of orange juice and 18 fluid ounces of pineapple juice. Which graph has a slope that best repr

mojhsa [17]

Answer:

option B. G

Step-by-step explanation:

Let

y ---->ounces of orange juice

x ---> ounces of pineapple juice

we know that

The ratio of orange juice to pineapple juice is equal to

$ratio=\frac{y}{x}$

substitute the given values

$ratio=\frac{30}{18}$

simplify

$ratio=\frac{5}{3}=1.67$

Verify each graph

Remember that the formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)

we have

$ratio=\frac{5}{3}$