X - 2y < 6 m=___ b=__

Please help i can't figure this problem out

Artist 52 [7]

Answer:

The initial fee is $2

Step-by-step explanation:

If each stop is $1.50, then the initial fee for each of the trips is $2.

4*1.5=6, 6+2=8

8*1.5=12, 12+2=14

12*1.5=18, 18+2=20

5 0

3 years ago

Tamara and Jason work at a widget factory. Tamara arrived at work before Jason and began making widgets. Tamara had already made

Mrac [35]

Answer:

See explanation!

Step-by-step explanation:

The remaining question reads:

Part A: Write a system of equations to represent the situation. Let x = hours and y = widgets.

Part B: How much time does it take for Tamara and Jason to produce the same number of widgets?

Part C: How many widgets will Tamara and Jason have produced?

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To solve this problem we can construct an linear algebraic expression for each person, principally denoted as:

$y=ax+c$

where

$y$ :is our dependent variable (which is a function of $x$ )

$x$ :is our independent variable

$a$ :is the slope

$c$ :is the y-intercept constant value (if any present)

Part A: Write a system of equations to represent the situation. Let x = hours and y = widgets.

Tamara

Has already made 20 widgets and produces at a rate of 8 widgets per hour thus here $c=20$ and $a=8$ , so Tamara's equation reads:

$y_{T}=8x+20$

Jason

Has not produced any widgets yet and produces at a rate of 12 widgets per hour thus here $c=0$ and $a=12$ , so Jason's equation reads:

$y_{J}=12x$

So the system of equations will be

$y_{T}=8x+20\\y_{J}=12x$

Part B: How much time does it take for Tamara and Jason to produce the same number of widgets?

Since we want to find the amount of time (i.e. the value of $x$ ) it takes for both of them to produce the same number of widgets we can just equate the two equations ans solve for $x$ as follow:

$y_{T}=y_{J}\\8x+20=12x\\8x-12x=-20\\-4x=-20\\x=\frac{-20}{-4}\\ x=5$

So it takes them 5 hours to produce the same amount of widgets.

Part C: How many widgets will Tamara and Jason have produced?

Now we can simply plug in the value of $x=5$ in any of the two equations (i.e. either for Tamara or Jason) to find the number of widgets produced.

$y_{T}=8(5)+20=40+20=60$

So in a time-space of 5 hours Each will have produced 60 widgets and in total will be 60+60 = 120 widgets.

6 0

3 years ago

5x-2=3x+40 answer plz :')

noname [10]

X=21

5x(-3x) -2= 3x(-3x) +40

2x-2(+2)=40(+2)

2x=42

X=21

7 0

3 years ago

200 trials of picking colored blocks, dean picked 63 yellow blocks. Jeanne did the same process and after 100 trials she picked

Paladinen [302]

Answer:

Dean's prediction was correct.

Step-by-step explanation:

Dean picked up 31.5% yellow blocks (0.315 as a decimal), and Jeanne picked up 27% yellow blocks (0.27 as a decimal). If they had the same yellow block percent as before, Dean would get about 158 blocks, and Jeanne would get 135 blocks.

5 0

4 years ago

Read 2 more answers

Please please help me math

Tanya [424]

7)3,916 8)3,521 9)21,285 10)54,16.

11) 4,710 12) 2,091 13) 17,128 14) 55,713

7 0

4 years ago

X - 2y < 6 m=___ b=___

X - 2y < 6 m=_ b=_