If it takes 4 men 6 hours to repair a road, how long will it take 3 men to do the same job if they work at the same rate?

It will take 3 men 4.5 hours to do the same job

Step-by-step explanation:

4/6 = 3/x

Step 1:  Cross multiply

18 = 4x

Step 2:  Divide both sides by 4

18 / 4 = 4x / 4

4.5 = x

 It will take 3 men 4.5 hours to do the same job

8 hrs

Step-by-step explanation:

4 men 6 hrs

3 men  x hrs

This is an example of an indirect proportion.

4men = 6 hrs

1 man = 6 ×4 hrs = 24 hrs

Therefore

3 men = 24 ÷ 3

= 8 hrs

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b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.