Is the equation a true statement when x = -3? In the other words, is -3 a

There were 60 runners to start the race. In the first half of the race,1/3 of them dropped out. In the second half of the race,1

Verizon [17]

In the question, it is already given that the total number of runners in the race is 60 and out of them 1/3 dropped out in the first half. In the second half 1/4 of the remaining runners dropped out.
Now
Total number of runners in the race = 60
Number of runners that dropped out in the first half = 1/3 * 60
   = 20
Number of runners remaining = 60 - 20
   = 40
Number of runners dropping out in the second half = 40 * 1/4
   = 10
Then the number of runners that finished the race = 40 - 10
   = 30
Then 30 runners completed the race.

5 0

2 years ago

Read 2 more answers

Graph the line passing through the given point and having the given slope (0,3), m=4

andriy [413]

Hint :-

To find out the equation of the line we can use the point slope form of the line which is $y - y_1 = m(x-x_1)$

Solution :-

The given point to us is , $(0,3)$ and the slope of the line is 4 . On using the point slope form , we have ,

$\implies y - y_1= m(x-x_1) \\\\\implies y-3 = 4(x-0) \\\\\implies y -3 = 4x \\\\\implies \boxed{ 4x - y + 3 =0}$

Hence the equation is 4x - y + 3 = 0 

( for graph , see attachment ) .

3 0

2 years ago

Astronomers measure large distances in light-years. One light-year is the distance that light can travel in one year, or approxi

Semenov [28]

Answer:

Option B - $=8.4672\times 10^{13}$

Step-by-step explanation:

Given : Astronomers measure large distances in light-years. One light-year is the distance that light can travel in one year, or approximately 5,880,000,000,000 miles.Suppose a star is 14.4 light years from earth.

To find : In scientific notation, how many miles away a star is from earth?

Solution :

One light-year is the distance that light can travel in one year is = 5,880,000,000,000 miles.

In scientific notation, $5.88\times 10^{12}$ miles.