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3 years ago

15

If the revenue for the week is $2000, and labor cost consists of two workers earning $8 per hour who work 40hours each, what is

labor cost as a percentage of revenue?

1 answer:

Arada [10]3 years ago

4 0

The percentage of the revenue is 32% hope this helps!

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Solve the system of equations using substitution -3x + 2y = 12 x = 2y - 8

SCORPION-xisa [38]

Answer:

(-2, 3)

Step-by-step explanation:

Given the system of equations:

-3x + 2y = 12

x = 2y - 8

You can 'substitute' the expression '2y - 8' for the value of 'x' in the first equation and solve for 'y':

-3(2y - 8) + 2y = 12

Distribute: -6y + 24 + 2y = 12

Combine like terms: -4y + 24 = 12

Subtract 24 from both sides: -4y + 24 - 24 = 12 - 24 or -4y = -12

Divide both sides by -4: -4y/-4 = -12/-4 or y = 3

Use y = 3 to solve for 'x':

x = 2(3) - 8 or 6 - 8

x = -2

(-2, 3)

5 0

3 years ago

a rectangle box has length 12 inches, width 15 inches, and a height of 17 inches. Find the angle between the diagonal of the box

ANTONII [103]

Answer:

0.7246 radians

Step-by-step explanation:

According to the Question,

Given that, a rectangle box has length 12 inches, width 15 inches, and a height of 17 inches

The length of the base diagonal (d) can be found using the Pythagorean theorem on length and width:

d = √{ (12)² +(15)² } = √(144+225) = √369inches

The tangent of the angle is the ratio of the height of the box to this length

Tan∅ = 17/√369

Taking the $Tan^{-1}$ , we have

∅ = $Tan^{-1}$ (17/√369) ≈ 0.7246 radians

4 0

3 years ago

What is the equation of the line that is perpendicular to y, =, 1 over 3 x, 4. And contains the point negative 2, negative 5,?.

Anit [1.1K]

The equation of the line is, $\rm y = 3x + 1$ .

Given that,

The equation of the line is,

$\rm y = \dfrac{1}{3} x+4\\$

And contains the point (-2, -5).

We have to determine,

What is the equation of the line that is perpendicular to the given line?

According to the question,

The equation of the line is,

$\rm = \dfrac{1}{3}x + 4\\$

On comparing with the standard equation of the line y = mx +c.

The slope of the line $m_1$ is 1/3.

When two lines are perpendicular the relation between these slopes is,

$\rm m_1\times m_1 = {-1}\\\\\dfrac{-1}{3} \times m_2 = -1\\\\-1 \times m_2 = -1 \times 3\\\\-m_2 = -3\\\\m_2 = 3$

And line contains the point (-2, -5).

Then,

$\rm y = mx +c \\\\-5 = 3 (-2) + c\\\\-5 = -6+c \\\\c = 6-5 \\\\c = 1$

Therefore,

The equation of the line that is perpendicular to the given line and contains the point (-2, -5) is,

$\rm y = mx +c \\\\y = 3x +1$

Hence, The required equation of the line is, $\rm y = 3x + 1$ .

For more details refer to the link given below.

brainly.com/question/14388443

7 0

2 years ago

students are encouraged to exercise at least 2 1/2 hours a week. Hector exercises about the same number of hours each week. duri

Natasha2012 [34]

Answer:

On average, he exercises 2.875 hours per week.

Step-by-step explanation:

Just do 11 1/2 (11.5) divided by 4, and you get your answer of 2.875 hours per week.

6 0

3 years ago

Select the two binomials that are factors of this trinomial.

Stella [2.4K]

we are given

trinomial as

$x^2 -x -12$

now, we can factor it

$x^2 -x -12= x^2 -4x +3x -4*3$

$x^2 -x -12= x(x -4) +3(x -4)$

$x^2 -x -12= (x-4)(x+3)$

so, option-C and D ..............Answer

4 0

3 years ago