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3 years ago

It takes 40 minutes for 8 people to paint 4 walls. how many minutes does it take 10 people to paint 7 walls?

Mathematics

2 answers:

Llana [10]3 years ago

8 0

Answer:

56 minutes

Step-by-step explanation:

Since, when $x_1$ people complete $w_1$ work in $n_1$ days and the same kind of $w_2$ work is done by $x_2$ people in $n_2$ days,

Then,

$\frac{x_1\times n_1}{w_1}=\frac{x_2\times n_2}{w_2}$

Here,

$x_1 = 8, n_1 = 40, w_1 = 4, x_2 = 10, w_2 = 7$

$\implies \frac{8\times 40}{4}=\frac{10\times n_2}{7}$

$\frac{320}{4}=\frac{10n_2}{7}$

By cross multiplication,

$320\times 7 = 4\times 10n_2$

$\implies n_2 = \frac{320\times 7}{40}=8\times 7 = 56$

Hence, it will take 56 minutes to paint 7 walls by 10 people.

timurjin [86]3 years ago

7 0

Its not 70 its 56, because you have to see how many minutes it takes for 1 to do 4 walls which would be 40*8.
Then you have to see if how many minutes its take a person to do one wall which is 8*40/4 from getting the amount of the 1 person doing 4 walls and get 80.
Then you need to see how many walls a person can paint 7 walls out of 10 people.So, we know how many minutes for each wall which is 80 and then multiply it by 7 to get 560 and divide it by 10 to get a product of 56.

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3 years ago

I don’t understand :(

viktelen [127]

Answer:

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Step-by-step explanation:

As the question suggests, there are two ways to solve this problem: long division (which can always be used to divide polynomials), and synthetic division (which can only be used when you are dividing by something of the form $(x-a)$ . In this case, we may use synthetic division, since $x+2$ is equal to $x-(-2)$ . I will use synthetic division here as it is slightly faster than long division.

The -2 on the left represents that we are dividing by x-(-2), and the rest of the numbers in the top row are the coefficients of p(x): 1, -4, -8, and 8.

The first step in synthetic division is to being down the leading coefficient of the polynomial: in this case, the 1 (as indicated in red). Now, we multiply the 1 by -2. We get -2, which we place directly below the -4.

Next, we add directly down the column, (-4 + (-2) is equal to -6), and this answer is placed in the box below. We can continue this process, getting the coefficients 1, -6, 4, and 0 in the bottom row.

This is the answer: the quotient is $x^2-6x+4$ , and the remainder is zero (which indicates that x+2 is a factor of p(x)).

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We repeat the same process, as shown in the image. Since we eventually get to zero, the remainder is zero, and the polynomial at the top (x^2-6x+4) is the quotient.

I know this might be difficult to follow, so please comment if you have any questions.

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