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LiRa [457]
2 years ago
13

In reducing one's speed from 70 mph to 50 mph, how much of a percentage decrease in stopping distance is realized (to the neares

t percent)?

Mathematics
1 answer:
Ghella [55]2 years ago
4 0

we are given relation between speed and distance

distance ( when speed =70mph) is

=328feet

so, d_1=328

distance ( when speed =50mph) is

=183feet

so, d_2=183

now, we can find percentage in decrease

=\frac{d_1-d_2}{d_1}\times 100

now, we can plug values

=\frac{328-183}{328}\times 100

=44%...........Answer

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I really need help, can someone please help me on both questions​
cupoosta [38]

Answer:

See attached

Step-by-step explanation:

In the questions, find the equation of the dash line then apply the appropriate inequality sign.

In the first one, take points (-3,2) and (0,1) find the gradient and slope of the line.

slope of line, m=Δy/Δx

Δy=1-2=-1

Δx= 0--3=3

m= -1/3

Finding the equation of the line;

y-1/x-0 = -1/3

3y-3 =-x

3y=-x+3

y=-1/3 x+1

The inequality can be ;

y> -1/3 x +1 or y<-1/3 x +1  depending on the shaded region as attached

In 2.

You have two graphs that provide the solution of the inequality.

In the graph represented by line 1, where you have points (-3,-4) and (-5,-5)

The slope will be,

m=-5--4/-5--3

m=-5+4/-5+3

m=-1/-2 = 1/2

The equation will be;

y--4/x--3= 1/2

y+4/x+3= 1/2

2y+8=x+3

2y=x+3-8

2y=x-5

y=1/2x -2.5

In the line with points (-3,-4) and (1,-6)

m=-6--4/1--3

m=-6+4/1+3

m=-2/4 = -1/2

Finding the equation of the line

y--4/x--3 = -1/2

2(y+4) = -1 (x+3)

2y+8 =-x-3

2y=-x-3-8

2y=-x-11

y= -1/2x-5.5

The inequality can be ;

y>1/2x + 2.5

y> -1/2x -5.5

or

y< 1/2 x +2.5

y< -1/2x-5.5

Depending on the area shaded as show in the attached graphs

Learn more

  • Solve inequality using graphs https://brainly.in/question/5768234
  • Solution of inequality using graphs brainly.com/question/11234618

Keywords : Inequalities, graph solutions

#LearnwithBrainly

3 0
3 years ago
A bag contains 5 black marbles, 9 white marbles, and 2 red marbles. One marble is to be chosen at random. What is the probabilit
Ugo [173]
5 + 9 + 2 = 16 
We choose one of sixteen, =>
A. 1/16
5 0
3 years ago
Read 2 more answers
Please help!!!!!!! Will mark brainliest
netineya [11]

Answer:

\displaystyle 5

Step-by-step explanation:

\displaystyle ±7 = \sqrt{49} \\ \\ -7 = x + 2\:\:AND\:\:7 = x + 2 \\ \\ -9, 5 = x

Sinse you want the POSITIVE solution, your answer is 5.

I am joyous to assist you at any time.

7 0
2 years ago
a 76 inch pipe is cut into two pieces One piece is three times the length of the other find the lengh of the shorter piece?
SOVA2 [1]

Answer:

/

Step-by-step explanation:

5 0
3 years ago
There is a mound of g pounds of gravel in a quarry. Throughout the day, 300 pounds of gravel are added to the mound. Two orders
galina1969 [7]

Answer:

g+300-700-700=1500, g=2600

Step-by-step explanation:

At the start of the day there are g pounds of gravel in the quarry.

Then it says that there were 300 pounds added to the mound, so at this point the pounds of gravel in the mound are now g+300.

Then two orders of 700 pounds are sold and removed from the mound. That means they removed 700 pounds from the mound 2 times. Therefore at this point the pounds of gravel in the mound are now g+300-700-700.

Then it says that at this point, the amount of pounds in the mound are 1500.  Hence we get

g+300-700-700=1500

To solve for g we just add 700 two times to both sides of the equation, and subtract 300 from both sides of the equation, getting:

g+300-700-700+700+700-300=1500+700+700-300

And so g=2600

4 0
3 years ago
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