Evaluate:<br> Σ10, 8(27-1) =

a plumber laying 500 meters of drain pipe required 20 men of working for 10 days . What length in meters would be laid by 50 men

belka [17]

Answer:

500 meters =20men =10days

To get the factor 500/(20*10)= 5/2 meters/day

For 50 men and 5days we don't know the meters

So we go by 50*(5/2)*5 =625meters

8 0

3 years ago

What is the equation, in slope-intercept form, of the line

Sati [7]

<u>Given</u>:

Given that the graph of the equation of the line.

The line that is perpendicular to the given line and passes through the point (2,-1)

We need to determine the equation of the line perpendicular to the given line.

<u>Slope of the given line:</u>

The slope of the given line can be determined by substituting any two coordinates from the line in the slope formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

Substituting the coordinates (-1,3) and (2,2), we get;

$m_1=\frac{2-3}{2+1}$

$m_1=-\frac{1}{3}$

Thus, the slope of the given line is $m_1=-\frac{1}{3}$

<u>Slope of the perpendicular line:</u>

The slope of the perpendicular line can be determined by

$m_2=-\frac{1}{m_1}$

Substituting $m_1=-\frac{1}{3}$ , we get;

$m_2=-\frac{1}{-\frac{1}{3}}$

simplifying, we get;

$m_2=3$

Thus, the slope of the perpendicular line is 3.

<u>Equation of the perpendicular line:</u>

The equation of the perpendicular line can be determined using the formula,

$y-y_1=m(x-x_1)$

Substituting $m=3$ and the point (2,-1) in the above formula, we have;

$y+1=3(x-2)$

$y+1=3x-6$

$y=3x-7$

Thus, the equation of the perpendicular line is $y=3x-7$

Hence, Option d is the correct answer.

3 0

3 years ago

A student moves into a bigger apartment that rents for $550 per month. That rent is $300 less than twice what she had been payin

Nataly_w [17]

Answer:

Step-by-step explanation:

Her former rent is $ x

Twice the former rent: 2*x = 2x

$300 less than 2x: 2x - 300

2x - 300 = 550

Add 300 to both sides

2x - 300 + 300 = 550 + 300

2x = 850

Divide both sides by 2

2x/2 = 850/2

x = 425

Her former rent = $425

8 0

3 years ago

Read 2 more answers

Given the first three terms of a linear sequence: 3x – 2;x+9; 2x + 5 Determine the value of x.

Yuliya22 [10]

Answer:

x = 5

Step-by-step explanation:

The difference between consecutive terms will be equal , then

a₂ - a₁ = a₃ - a₂ , that is

x + 9 - (3x - 2) = 2x + 5 - (x + 9) ← distribute parenthesis on both sides

x + 9 - 3x + 2 = 2x + 5 - x - 9 , simplify both sides

- 2x + 11 = x - 4 ( subtract x from both sides )

- 3x + 11 = - 4 ( subtract 11 from both sides )

- 3x = - 15 ( divide both sides by - 3 )

x = 5

5 0

3 years ago

Read 2 more answers

If 5xpower 7- 6x power 7+ 7x - 6 is a polynomial then find

Olin [163]

Answer:

Answer

Given polynomial- 5x

7

−6x

5

+7x−6

Here,

(a) Coefficient of x

5

=−6

Coefficient of x

2

=0

(b) Degree of polynomial = highest degree of monomial with non-zero coefficient =7

(c) Constant term = Coefficient of x

0

=−6

(d) Number of terms =4

<h2>plz mark me as brainliest</h2>

5 0

3 years ago

Evaluate: Σ10, 8(27-1) =