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Vlada [557]
3 years ago
5

One month, Ruby worked 4 hours more than Isaac, and Svetlana worked 4 times as many hours as Ruby. Together they worked 104 hour

s. Find the number of hours each person worked.
Mathematics
1 answer:
nadya68 [22]3 years ago
7 0
Let Isaac = x
Ruby = x + 4
Svetlana = 4(x + 4)

Together they worked 104 hours, so...

x + x + 4 + 4(x + 4)= 104
x + x + 4 + 4x + 16 = 104
6x + 20= 104
6x = 84
x = 84/6 = 14

Isaac worked x = 14 hours

Ruby worked x + 4 = 18 hours

Svetlana worked 4(x + 4) = 4×18 = 72 hours

Check your answers...

72 + 18 + 14 = 104
104 = 104 it checks!
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3 years ago
write the slope-intercept form for the equation of the line described through (4,-5) and parallel to y=--5/4x-4
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Answer:

y = -5x/4 + 0

Step-by-step explanation:

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y = -5/4x - 4

Slope is the coefficient of x

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Substitute m into point slope form equation

y - y1 = m(x - x1)

y - y1 = -5/4( x - x1)

Substitute the point into the equation

( 4 , -5)

x1 = 4

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y - y1 = -5/4( x - x1)

y - (-5) = -5/4( x - 4)

y + 5 = -5/4(x - 4)

Using a slope intercept form equation

y = mx + c

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m - slope

x - intercept point x

c - intercept

open the bracket with -5/4

y + 5 = -5(x - 4)/4

y + 5 = (-5x + 20)/4

y = (-5x + 20)/4 - 5

LCM = 4

y =( -5x + 20 - 20)/4

y = ( -5x + 0)/4

Rearrange in

y = mx + c

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y = -5x/4 + 0

The equation of the line is

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Answer:

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