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anastassius [24]
3 years ago
9

It takes 2 painters 12 hours to paint the interior of a house. Assuming the amount of time it takes to paint the house is invers

ely related to the number of painters, how many hours will it take 6 painters to paint the house?
A) 1 hour
B) 3 hours
C) 4 hours
D) 8 hours
Mathematics
2 answers:
I am Lyosha [343]3 years ago
4 0

Answer:  Option 'C' is correct.

Step-by-step explanation:

Since we have given that

Number of painters to paint the interior of a house = 2

According to question, amount of time it takes to paint the house is inversely related to the number of painters.

So, Time is inversely related to number of painters.

If the number of painters to paint the house = 6

So, we get

\frac{2}{6}=\frac{x}{12}\\\\2\times 12=6\times x\\\\24=6\times x\\\\\frac{24}{6}=x\\\\4\ hours=x

Hence, it will take 4 hours to paint the house by 6 painters.

Therefore, Option 'C' is correct.

Sindrei [870]3 years ago
4 0
The answer to this question i 4
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Max is thinking of a number, which he calls n. He adds 8 and then doubles the sum.
Veronika [31]

The equation representing Max's number is 2\times(x+8).

<h3>What is an equation?</h3>

In its simplest form in algebra, the definition of an equation may be a mathematical statement that shows that two mathematical expressions are equal. It consists of variables dependent and independent variables. They can be linear or non-linear in nature.

Let the number Max is thinking be 'x'

He adds 8 to the number and then he doubles the sum.

Sum means we are adding a number to x, in this case it is 8.

Double the number means twice the given number in this case it is twice the sum of number with 8.

As per the statement:

The expression to represents Max's number

=2\times(x+8)

To know more about equations visit:

brainly.com/question/15457147

#SPJ9

7 0
1 year ago
1 calcule o valor das expressões A) 2x+(3.4)²+(7.7) B) 3x+(2.6)+(8.8)² C)7.6+(28.3)+(4)² D)7x-(7.8)+(9:3)
I am Lyosha [343]

Answer:

Follows are the solution to the given points:

Step-by-step explanation:

Given:

A) \ \ 2x+(3.4)^2+(7.7) \\\\B) \ \ 3x+(2.6)+(8.8)^2\\\\C)\ \ 7.6+(28.3)+(4)^2 \\\\D)\ \ 7x-(7.8)+(9:3)

For point A:

\to  2x+(3.4)^2+(7.7)\\\\\to  2x+(11.56)+(7.7)\\\\\to  2x+19.26\\\\

For point B:

\to 3x+(2.6)+(8.8)^2\\\\\to 3x+(2.6)+77.44\\\\\to 3x+80.04

For point C:

\to \ 7.6+(28.3)+(4)^2 \\\\\to \ 7.6+(28.3)+16 \\\\\to \ 7.6+44.3 \\\\\to 51.9

For point D:

\to 7x-(7.8)+(9:3)\\\\\to 7x-(7.8)+ \frac{9}{3}\\\\\to 7x- \frac{23.4+9}{3}\\\\\to 7x- \frac{32.4}{3}\\\\\to 7x- 10.8

3 0
3 years ago
Y multiple 3 = 3/5 so y =
Rasek [7]
Y × 3 = 3 / 5
y = 3 / 5×3
y = 3/15
y = 1/5

In short, Your Answer would be 1/5

Hope this helps!
7 0
3 years ago
Read 2 more answers
Sarah is a computer engineer and manager and works for a software company. She receives a
daser333 [38]

Answer:

a) Number of projects in the first year = 90

b) Earnings in the twelfth year = $116500

Total money earned in 12 years = $969000

Step-by-step explanation:

Given that:

Number of projects done in fourth year = 129

Number of projects done in tenth year = 207

There is a fixed increase every year.

a) To find:

Number of projects done in the first year.

This problem is nothing but a case of arithmetic progression.

Let the first term i.e. number of projects done in first year = a

Given that:

a_4=129\\a_{10}=207

Formula for n^{th} term of an Arithmetic Progression is given as:

a_n=a+(n-1)d

Where d will represent the number of projects increased every year.

and n is the year number.

a_4=129=a+(4-1)d \\\Rightarrow 129=a+3d .....(1)\\a_{10}=207=a+(10-1)d \\\Rightarrow 207=a+9d .....(2)

Subtracting (2) from (1):

78 = 6d\\\Rightarrow d =13

By equation (1):

129 =a+3\times 13\\\Rightarrow a =129-39\\\Rightarrow a =90

<em>Number of projects in the first year = 90</em>

<em></em>

<em>b) </em>

Number of projects in the twelfth year =

a_{12} = a+11d\\\Rightarrow a_{12} = 90+11\times 13 =233

Each project pays $500

Earnings in the twelfth year = 233 \times 500 = $116500

Sum of an AP is given as:

S_n=\dfrac{n}{2}(2a+(n-1)d)\\\Rightarrow S_{12}=\dfrac{12}{2}(2\times 90+(12-1)\times 13)\\\Rightarrow S_{12}=6\times 323\\\Rightarrow S_{12}=1938

It gives us the total number of projects done in 12 years = 1938

Total money earned in 12 years = 500 \times 1938 = $969000

8 0
2 years ago
Surface Area of a Cylinder=2πr2+2πrh.
lawyer [7]
The answer is 256pi if you have a calculator, and it says to put it in 3.14 for pi, do the same steps I show here, but instead of pi, you would put 3.14. But I hope this helps you

4 0
3 years ago
Read 2 more answers
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