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3 years ago

A man can paint one house in 12 hours. At this rate, how many houses could 18 men paint in 6 hours

Mathematics

2 answers:

OverLord2011 [107]3 years ago

8 0

Answer:

i want to say 36, im not 100% sure though

Step-by-step explanation:

Leni [432]3 years ago

3 0

Answer:

9 houses in 6 hours painted by 18 men.

Step-by-step explanation:

1. you have 1 man, 12 hours = 1 house.

2. take that number of men, and times it by 18. 18 houses in 12 hours!

3. take those houses and hours, and split them both in half.

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P(x)= 3x^3-5x^2-14x-4

nexus9112 [7]

$\displaystyle\\
P(x)=3x^3-5x^2-14x-4\\\\
D_{-4}=\{-4;~-2;~\underline{\bf -1};~1;~2;~4\}\\\\
\text{We observe that } \frac{-1}{3} \text{ is a solution of the equation:}\\
3x^3-5x^2-14x-4=0\\\\
$

$\displaystyle\\
\text{Verification}\\\\
3x^3-5x^2-14x-4=\\\\
=3\times\Big(-\frac{1}{3}\Big)^3-5\times\Big(-\frac{1}{3}\Big)^2-14\times\Big(-\frac{1}{3}\Big)-4=\\\\
=-\frac{1}{9}-\frac{5}{9}+\frac{14}{3}-4=\\\\
=-\frac{6}{9}+\frac{14}{3}-4=\\\\
=-\frac{6}{9}+\frac{42}{9}- \frac{4\times 9}{9}=\\\\
 =-\frac{6}{9}+\frac{42}{9}- \frac{36}{9}= \frac{42-6-36}{9}=\frac{42-42}{9}=\frac{0}{9}=0\\\\
\Longrightarrow~~~P(x)~\vdots~\Big(x+ \frac{1}{3}\Big)\\\\
\Longrightarrow~~~P(x)~\vdots~(3x+1)$

$\displaystyle\\
3x^3-5x^2-14x-4=0\\
~~~~~-5x^2 = x^2 - 6x^2\\
~~~~~-14x =-2x-12x \\
3x^3+x^2 - 6x^2-2x-12x-4=0\\
x^2(3x+1)-2x(3x+1) -4(3x+1)=0\\
(3x+1)(x^2-2x -4)=0\\\\
\text{Solve: } x^2-2x -4=0\\\\
x_{12}= \frac{-b\pm \sqrt{b^2-4ac}}{2a}=\\\\=\frac{2\pm \sqrt{4+16}}{2}=\frac{2\pm \sqrt{20}}{2}=\frac{2\pm 2\sqrt{5}}{2}=1\pm\sqrt{5}\\\\
x_1 =1+\sqrt{5}\\
x_2 =1-\sqrt{5}\\
\Longrightarrow P(x)= 3x^3-5x^2-14x-4 =\boxed{(3x+1)(x-1-\sqrt{5})(x-1+\sqrt{5})}$

7 0

3 years ago

15Points!!<br> Factor completely.<br><br><br> 12x² +28x

Zigmanuir [339]

Answer:

4x(3x+7)

Step-by-step explanation:

$12x^2+28x\\12xx+28x\\\\4\cdot \:3xx+4\cdot \:7x\\4x\left(3x+7\right)$

4 0

3 years ago

Use long division to find a repeated decimal equivalency for the fraction. This is a question that my teacher gave me for pre al

Dafna11 [192]

Take the fraction. Divide the top number by the bottom number. (That's what a fraction means.). Some fractions will produce a decimal that goes on and on and never ends. Some fractions produce a decimal that ends. Some examples that make repeating decimals are: 1/3, 1/7, 1/9, 1/11.

6 0

4 years ago

5 ) ( 8 x 10 - 82 ) - 8

juin [17]

Answer:

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

The average summer vacation costs $2252. If 82% of this amount is charged on credit cards, then what amount of the vacation cost

expeople1 [14]

Answer: $1846.64

Step-by-step explanation:

Given : The average summer vacation costs $2252.

If 82% of this amount is charged on credit cards, then the amount of the vacation cost is charged will be :-

$82\%\text{ of }\$2252\\\\\text{Convert percent into fraction by dividing it by 100, we get}\\\\=\$[\dfrac{82}{100}\times2252]\\\\=\$[\dfrac{184664}{100}]\\\\=\$1846.64$

Therefore the amount of the vacation cost is charged= $1846.64

3 0

3 years ago