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Arisa [49]
3 years ago
11

A kennel has 80 dogs in total, some are puppies and some are adult dogs. The ratio of puppies to dogs in a kennel is 3 : 2. How

many puppies are there?
Please put how you solved this.
Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
6 0
Answer : 48

Workings : add the two ratios together (3 + 2 = 5) then do 80 divided by 5 = 16 and then times 16 by the puppy part of the ratio which is 3. This equals 48
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If the diameter of a circle is 9 cm, then its circumference is 56.52 cm.<br><br> True or false?
Brrunno [24]
Circumference 
2*pi*r
2*(22/7)*(9/2)
2*(11/7)*9
198 / 7
28.28 cm

so 56.52 is not correct
3 0
3 years ago
How many combinations of two letters are possible from three letters?
MrRissso [65]

C(3,2)=\dfrac{3!}{2!}=3

8 0
4 years ago
Krista has a quiz today. There are 4 questions with 4 options. Each question only has one correct answer. She wants to guess and
Lyrx [107]

Answer:

The probability is 0.258

Step-by-step explanation:

In this question, we want to know the probability of Krista getting exactly 3 out of the options she chooses right.

For all the questions, there are 4 questions with 4 options each

Total number of options is 4 * 4 = 16 options

there are 3 wrong options and one correct option per question. Total number of correct option is 4 and the total number of wrong options is 12

Probability of selecting a wrong option is 12/16 = 3/4 while the probability of selecting a correct option is 1/4

Thus, we can use a Bernoulli approximation to get this probability of getting three right.

let the probability of selecting a correct option be p and that of a wrong option be a.

Probability of selecting exactly three correct ones will be;

P(r = 3) = nCr p^r q^(n-r)

where n is the total number of options and r is the number of options we are selecting to be correct.

The probability = 12C3 * (1/4)^3 * (3/4)^9

= 220 * 0.015625 * 0.075084686279 = 0.258

7 0
4 years ago
the trailer cost one-fourth as much as the boat. the total cost of both is 4,000 how much did each cost
kicyunya [14]

Answer:

Each one cost $1k

Step-by-step explanation:

8 0
3 years ago
The surface area of a cylinder is increasing at a rate of 9 pi square meters per hour. The height of the cylinder is fixed at 3
Alekssandra [29.7K]

Answer:

9\pi \text{ cubic meters per hour}

Step-by-step explanation:

Since, the surface area of a cylinder,

A= 2\pi r^2 + 2\pi rh  ................(1)

Where,

r = radius,

h = height,

If A= 36\pi\text{ square meters}, h = 3\text{ meters}

36\pi = 2\pi r^2 + 2\pi r(3)

18 = r^2 + 3r

\implies r^2 + 3r - 18=0

r^2 + 6r - 3r - 18 = 0     ( by middle term splitting )

r(r+6)-3(r+6)=0

(r-3)(r+6)=0

By zero product property,

r = 3 or r = - 6 ( not possible )

Thus, radius, r = 3 meters,

Now, differentiating equation (1) with respect to t ( time ),

\frac{dA}{dt}= 4\pi r\frac{dr}{dt} +2\pi(r\frac{dh}{dt} + h\frac{dr}{dt})

∵ h = constant, ⇒ dh/dt = 0,

\frac{dA}{dt} = 4\pi r \frac{dr}{dt} +2\pi h \frac{dr}{dt}

We have, \frac{dA}{dt}=9\pi\text{ square meters per hour}, r = h = 3\text{ meters}

9\pi = 4\pi (3) \frac{dr}{dt}+2\pi (3)\frac{dr}{dt}

9\pi = (12\pi + 6\pi )\frac{dr}{dt}

9\pi = 18\pi \frac{dr}{dt}

\implies \frac{dr}{dt} =\frac{1}{2}\text{ meter per hour}

Now,

Volume of a cylinder,

V=\pi r^2 h

Differentiating w. r. t. t,

\frac{dV}{dt}=\pi ( r^2 \frac{dh}{dt}+h(2r)\frac{dr}{dt})=\pi ((3)(6) (\frac{1}{2})) = 9\pi \text{ cubic meters per hour}

6 0
3 years ago
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