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4 years ago

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Suppose that the time it takes to do a job is inversely proportional to the number of workers. that is, the more workers on the

job the less time required to complete the job. if it takes 2 workers 8 days to finish a job, how long will it take 8 workers?

1 answer:

Maurinko [17]4 years ago

7 0

I think it would be 2 days. you would get it done 4 times faster, so 8/4 is 2

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Determine which of the lines are parallel and which of the lines are perpendicular. Select all of the statements that are true.

grandymaker [24]

Answer:

Lines a and b are parallel

Lines a and c are perpendicular

Lines d and c are perpendicular

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

Part 1) Find the slope of Line a

we have the points

(-3,4) and (3,6)

substitute in the formula

$m=\frac{6-4}{3+3}$

$m=\frac{2}{6}$

simplify

$m_a=\frac{1}{3}$

Part 2) Find the slope of Line b

we have the points

(-10,-3) and (-8,3)

substitute in the formula

$m=\frac{3+3}{-8+10}$

$m=\frac{6}{2}$

$m_b=3$

Part 3) Find the slope of Line c

we have the points

(0,5) and (3,-4)

substitute in the formula

$m=\frac{-4-5}{3-0}$

$m=\frac{-9}{3}$

$m_c=-3$

Part 4) Find the slope of Line d

we have the points

(4,-7) and (13,-4)

substitute in the formula

$m=\frac{-4+7}{13-4}$

$m=\frac{3}{9}$

simplify

$m_d=\frac{1}{3}$

Part 5) Compare the slopes

Remember that

If two lines are parallel then their slopes are the same

If two lines are perpendicular then their slopes are opposite reciprocal

we have

$m_a=\frac{1}{3}$

$m_b=3$

$m_c=-3$

$m_d=\frac{1}{3}$

therefore

Lines a and b are parallel (slopes are equal)

Lines a and c are perpendicular (slopes are opposite reciprocal)

Lines d and c are perpendicular (slopes are opposite reciprocal)

6 0

3 years ago

Plss solve 29 for me.with the steps<br> plsssßs I am begging u

lakkis [162]

That means that the first rectangle and the first triangle ave athe same perimiter

so therefor
perimiter=sides added up
rectangle has 4 sides bu 2 is given so double it since the other side is same legnth
rec=x+x+4
multiply 2
2x+2x+8=4x+8=perimiter
this is equal to perimiter of triangle which is
x+9+x+5+x=3x+14
therefor
4x+8=3x+14
subtract 3x from both sides
x+8=14
subtract 8 from both sides
x=6
first one x=6

second rectangle and second triangle
s+7 and 3s
2 sides
2s+14+6s=p
8s+14=p

traignel=2s+12+2s+12+2s+12=6s+36=p
they are equal so
8s+14=6s+36
subtract 6s from both sides
2s+14=36
subtract 14 from both sides
2s=22
divide both sideds by 2
s=11

the values are
pair one:
x=6

pair 2:
s=11

5 0

3 years ago

2(-3x + 4) + 3x – 3 = -29 Submit Answe

ivolga24 [154]

Answer:

exact form:34/3

decimal form:11.3333333333

mixed number form: 11 1/3

Step-by-step explanation:

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4 years ago

One edge of a cube measures 4.6 meters. What is the volume of the cube? Enter your answer, as a decimal, in the box.

ra1l [238]

Volume = l x w x h
4.6 x 4.6 x 4.6=97.336

7 0

3 years ago

Read 2 more answers

Which of the following numbers are a positive, odd integer less than 7<br> -1, 0, 1, 2, 5, 3

Vedmedyk [2.9K]

Answer:

6 or 4?

Step-by-step explanation:

5 0

3 years ago