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denpristay [2]
3 years ago
14

If G is the number of seconds that a traffic light says green and n is the average number of cars in each lane per light cycle,

then the relationship would be G= 2.1n + 3.7
if the light stays green for 70 seconds then how many cars can cross the intersection in one cycle?
(linear equations)
Mathematics
1 answer:
Anna007 [38]3 years ago
3 0

Answer:

31.57 cars is the answer rounded to the hundredth, but since its cars you might want to put just 31 since half a car cant pass through. it depends on what your teacher wants really.

Step-by-step explanation:

70=2.1n+3.7

70-3.7=2.1n

66.3=2.1n

66.3/2.1=n

31.57=n

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JERMEY had 36 community concerts to sell he sold 2/3 of the tickets how many tickets did he sell
Vladimir79 [104]

9514 1404 393

Answer:

  24

Step-by-step explanation:

Jermey sold 2/3 of 36 = ...

  (2/3)×36 = (2×36)/3 = 2×(36/3) = 2×12 = 24

Jermey sold 24 tickets.

3 0
3 years ago
Make up an equation of the form y = kx +b, the graph of which passes through the following points: A (8, –1) and B (–4, 17)
igor_vitrenko [27]

Answer:

One equation would be y= -1.5x +11

Step-by-step explanation:

Here's a table to show the coordinates

x:             y:

8              -1

-------------------

-4             17

the x coor. 8  goes down by 12 to get to the next x coor. -4.

8-12= -4

the y coor. -1 goes up by 18 to get to the next y coor. 17.

-1+18= 17

therefore 18/-12 is -1.5 which can be your k in y=kx+b.

Check your answer.

-1.5*8= -12 but when you add 11, you get the y coor. -1

Do the same with the other x coor.

-4*-1.5= 6 + 11 =17

11 can be your b in the slope-intercept form equation.

One equation may be y = -1.5x +11

4 0
2 years ago
A car whose acceleration is constant reaches a speed of
Sergeu [11.5K]

Answer:

  12.5 s

Step-by-step explanation:

If acceleration is constant, speed is proportional to time. To increase the speed by 50 km/h, the car will need an additional time given by ...

  t/(50 km/h) = (20 s)/(80 km/h)

  t = (20 s)(50/80) . . . . . multiply by 50 km/h

  t = 12.5 s

It will take 12.5 more seconds for it to reach a speed of 130 km/h.

3 0
3 years ago
Read 2 more answers
Toby bought 8 hotdogs and 5 fries. It cost $34.00
ruslelena [56]

Answer:

Each hot dog = $3

Each french fry = $2

Step-by-step explanation:

First, lets define our variables:

x = Hotdog

y = fries

Next, you need to set up a cost equation for both Toby and Bernie:

8x + 5y = 34

2x + 6y = 18

Now, we need to isolate one of the variable:

2x + 6y = 18

2x = 18 - 6y

x = 9 - 3y

Next, we need to insert this equation back into the first equation (8x+5y = 34) to find the cost of y (fries):

8x +5y = 34

8 (9-3y) + 5y = 34

72 - 24y + 5y = 34

72 - 19y = 34

19y = 38

y or fries = $2

Finally, we need to find the cost of each hotdog by using the cost of fries ($2) in one of the formulas:

2x + 6y = 18

2x + 6(2) = 18

2x + 12 = 18

2x = 6

x or hotdog = $3

I hope this helps!

-TheBusinessMan

6 0
3 years ago
Divide 794.1 by 7.61 Point round off your answer to two decimal places
dolphi86 [110]
<span>By dividing the two numbers we get 104.3495... Rounding this number to two decimal places means that we must keep just 2 digits after the "." symbol, and round the last one of them. In our case, 104.3495... becomes 104.35.</span>
5 0
3 years ago
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