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3 years ago

It takes 18 hours to fill a pool using 8 garden hoses. How long would it take to fill the same pool using 9 garden hoses?

2 answers:

3 0

Use rates, so 8 garden hoses over 18 hours
then find the how many hours one garden house can fill up by doing this = 18/8 you divide the 8 for both sides which is about 2.25/1
so then you times 9 which is about 20/9 hoses
your answer is 20

Ray Of Light [21]3 years ago

3 0

Your answer would be 20 because you have to take 18 and divide it by 8 and add the answer you get to the 18 hours and there’s your answer.

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This year Maya watched 60 movies. She thought that 33 of them were very good. Of the movies she watched, what percentage did she

Deffense [45]

Answer:

55%

Step-by-step explanation:

Divide 33 by 60 each percent is 1 2/3 so 30 is 50% and 3 is 5 50%+5%=55%

6 0

2 years ago

A standard deck of cards has 52 cards divided into 4 suits, each of which has 13 cards. Two of the suits ($\heartsuit$ and $\dia

Gnoma [55]

Answer:

The number of ways to select 2 cards from 52 cards without replacement is 1326.

The number of ways to select 2 cards from 52 cards in case the order is important is 2652.

Step-by-step explanation:

Combinations is a mathematical procedure to compute the number of ways in which k items can be selected from n different items without replacement and irrespective of the order.

${n\choose k}=\frac{n!}{k!(n-k)!}$

Permutation is a mathematical procedure to determine the number of arrangements of k items from n different items respective of the order of arrangement.

$^{n}P_{k}=\frac{n!}{(n-k)!}$

In this case we need to select two different cards from a pack of 52 cards.

Two cards are selected without replacement:

Compute the number of ways to select 2 cards from 52 cards without replacement as follows:

${n\choose k}=\frac{n!}{k!(n-k)!}$

${52\choose 2}=\frac{52!}{2!(52-2)!}$

$=\frac{52\times 51\times 50!}{2!\times50!}\\=1326$

Thus, the number of ways to select 2 cards from 52 cards without replacement is 1326.

Two cards are selected and the order matters.

Compute the number of ways to select 2 cards from 52 cards in case the order is important as follows:

$^{n}P_{k}=\frac{n!}{(n-k)!}$

$^{52}P_{2}=\frac{52!}{(52-2)!}$

$=\frac{52\times 51\times 52!}{50!}$

$=52\times 51\\=2652$

Thus, the number of ways to select 2 cards from 52 cards in case the order is important is 2652.

6 0

3 years ago

Find the value of the determinant. 4 8 10 4 0-1 3 - 2 4

VLD [36.1K]

Answer:

- 240

Step-by-step explanation:

We have to find the value of the following determinant

$\left|\begin{array}{ccc}4&8&10\\4&0&-1\\3&-2&4\end{array}\right|$

Now, we know that the value of a general determinant $\left|\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right|$ is given by [a( ei - fh) + b(fg - di) + c(dh - eg)]

Therefore, the value of the given determinant is

= 4[0 × 4 - (-1)(-2)] + 8[3(-1) - 4 × 4] + 10[4(-2) - 3 × 0]

= - 8 - 152 - 80 = - 240 (Answer)

4 0

4 years ago

What is the volume of the cone below?

nataly862011 [7]

Answer:

96 pi

Step-by-step explanation:

The formula for the volume of a cone is V=pi*r^2*h/3 the radius is 4 and the height is 18 plug in those values into the equation to get V=pi*16*6 16*=96 so the answer is 96 pi.

3 0

3 years ago

Read 2 more answers

1. (x-2)(x+3)

OLEGan [10]

Answer:

7 for all of them but the last one is 29

Step-by-step explanation:

i did it

3 0

2 years ago