Given:
Distance between to cities = 500 mi
Two cars left simultaneously moving towards each other.
The speed of one car was 10 mph greater than the speed of the other car.
They meet in 5 hours.
To find:
The speed of each car.
Solution:
Let x mi/h be the speed of one car.
So, speed of second car = (x + 10) mi/h
Two cars left simultaneously moving towards each other.
So, their relative speed = x + (x+10) = (2x+10) mi/h
We know that,
[tex]Speed =\dfrac{Distance}{Time}[/tex]
On substituting the values, we get
[tex]2x+10=\dfrac{500}{5}[/tex]
[tex]2x+10=100[/tex]
[tex]2x=100-10[/tex]
[tex]2x=90[/tex]
Divide both sides by 2.
[tex]x=\dfrac{90}{2}[/tex]
[tex]x=45[/tex]
Now,
Speed of one car = 45 mi/h
Speed of other car = 45+10
= 55 mi/h
Therefore, the speeds of two cars are 45 mi/h and 55 mi/hr.
A local amusement park has 30 rides that park visitors can go on. The following table shows the relative frequency distribution for the number of rides that a park visitor will typically go on during one day at the park. The table also shows the deviation, or difference, from 21, the mean of the distribution. Number of rides and attractions 10 15 20 25 30 Deviation −11 −6 −1 4 9 Relative frequency 0.1 0.2 0.2 0.4 0.1 Which of the following is closest to the standard deviation of the distribution? 5.83 5.83 A 7.07 7.07 B 7.90 7.90 C 20 20 D 34
Answer:
5.83
Step-by-step explanation:
Find the mean:
10(.1) + 15(.2) + 20(.2) + 25(.4) + 3-).1)
u = 21
Find the standard deviation:
[tex]\sqrt{(10 -21)x^{2} (.1) + (15 -21)x^{2} (.2)+(20-21)x^{2} (.2)+(25-21)x^{2} (.4)+(30-21)x^{2} (.1)}[/tex]= 5.83
The standard deviation is of 5.83.
The expected value is given by each value multiplied by it's relative frequency, thus:
[tex]E(X) = 0.1(10) + 0.2(15) + 0.2(20) + 0.4(25) + 0.1(30) = 21[/tex]
The standard deviation is given by the square root of the sum of the difference squared of each value and the mean, multiplied by it's relative frequency.
Then:
[tex]\sqrt{V(X)} = \sqrt{0.1(10 - 21)^2 + 0.2(15 - 21)^2 + 0.2(20 - 21)^2 + 0.4(25 - 21)^2 + 0.1(30 - 21)^2} = 5.83[/tex]
The standard deviation is of 5.83.
A similar problem is given at https://brainly.com/question/24628525
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Answer:
The answer would be -6x - 4 + -4. hope this is accurate!
Step-by-step explanation:
20. Steve has $30 and he earns $5 an hour parking cars. Write an equation to represent how much
money in dollars (m) Steve has after any number of hours parking cars (h). Then use the equation to
determine after how many hours of parking cars willSteve have $105. (Show your work)
Answer:
$30+m($5 x h)
he will be working for 21 h
Step-by-step explanation:
So, Steve has $30, so you want to add that amount to the amount he earn, which is $105.
$5 times 21 is $105
h = 21
but we still need for m but, we already have m
m = $105
PLEASE HELP ME WILL GIVE BRAINLIST!!! PLEASE HELP ME.
Identify the slopes and y-intercepts of the following graphs:
*write the slopes as a fraction or improper fraction using /.
slope =
y - intercept = ( , )
Answer:
-1.5 y 3
Step-by-step explanation:
enjoy enjoy hopefully it's right
Answer:
Slope = -3/2
y-intercept = 3
Step-by-step explanation:
Select any two points.
(x₁ , y₁) = (0, 3) & (x₂ , y₂) = (2 , 0)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]\frac{0-3}{2-0}\\\\=\frac{-3}{2}[/tex]
y - y₁ = m(x -x₁)
y - 3 = [tex]\frac{-3}{2}(x - 0)[/tex]
y - 3 = [tex]\frac{-3}{2}x[/tex]
[tex]y = \frac{-3}{2}x + 3[/tex]
Compare with y = mx + c
Slope = -3/2
y-intercept = 3
what is 57 + -4 + 9
Answer:
the answer is 62
Step-by-step explanation:
57+(-4)+9
53+9=62
The table shows the participation in a school's debate club during the last four years.
Year
1 2 3 4
Students
14
19
25
33
Between which two years did the club see the greatest growth? By what percent did it grow?
The greatest growth was between years 3 and 4. The growth between those years was about 32%.
The greatest growth was between years 1 and 2. The growth between those years was about 5%.
The greatest growth was between years 3 and 4. The growth between those years was about 8%.
o The greatest growth was between years 1 and 2. The growth between those years was about 36%.
Answer:
The greatest growth was between years 1 and 2. The growth between those years was about 36%.
Step-by-step explanation:
Divide 19 by 14 to check, it gets you 1.357 which rounds to 1.36, or an increase of 36%
A line passes through the points (1, -6) and (4,3). What is the y-intercept of this line?
○ -9
○ -3
○ 3
○ 9
The police brutality is that way too long
Answer: no its fine i guess
Step-by-step explanation:
Answer:If you are saying what is the cause of police brutality then this is your answer:
These efforts have identified various core issues that contribute to police brutality, including the insular culture of police departments (including the blue wall of silence), the aggressive defense of police officers and resistance to change in police unions, the broad legal protections granted to police officers...
Hope this helps... Stay safe and have a great day/night!!! :D
a) 94x^2+15x-25
b)34^2+15x-25
c)27x+3
d)34x^2-15x-25
Answer:
d) 34x^2 - 15x -25
( (8x + 5) * (8x - 5) ) - 5x(6x +3 )
= 64x^2 - 25 - 30x^2 - 15x
= 34x^2 - 15x - 25
Write the equation of the line that passes through the given points.
(15/8,0) and (17/8,1/2)
The equation of the line is _______.
Answer:
Step-by-step explanation:
Going from (15/8,0) to (17/8,1/2), we see that x (the 'run') increases by 2/8, or 1/4, and that y (the 'rise') increases by 1/2. Thus, the slope of this line through the given points is m = rise / run = (1/2) / (1/4) = 2.
Using the point-slope formula for the equation of a line, we obtain:
y - 0 = 2(x - 15/8), or
y = 2(x - 15/8) (simplest form), or
8y = 2x - 15/4, or
2x - 8y = 15/4, or
8x - 32y = 15
All of these are correct; they are 'equivalent.'
PLEASE HELP! its due todayy :D
Since both points are positive, they are located in the I quadrant.
Answer:
quadrant one
Step-by-step explanation:
This is simple though the 8 is not on the graph the numbers are both positive so it's quadrant one :)
What does this equal to? (7+w)-(w-7)
Answer:
14
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
A sphere is inscribed inside a cube with edges of 6 cm. In cubic centimeters, what is the volume of the sphere in terms of ?
EASY POINTS PLEASE HELP ASAP
Answer:
X=6
Step-by-step explanation:
Subtract 1 from 2.5 to get 1.5
Multiply by 4 to get 6
So, X=6
Answer:
x=6
Step-by-step explanation:
6/4=1.5
and 1.5+1=2.5
PLS HELP
The owner of a grocery store wants to mix two kinds of candy together to make 15 lb that he can sell for $5.00 per lb. He wants to use chocolate candies that he sells for $7.00 per lb and sugar candies that he sells for $2.00 per lb. How many pounds of each should the owner use?
_ pounds of chocolate candies
Answer:
9 pounds of chocolate candies
6 pounds of sugar candies
Step-by-step explanation:
x + y = 15
y = 15 - x
(7x + 2y) / 15 = 5
7x + 2y = 15 * 5 = 75
7x + 2 * (15 - x) = 75
7x + 30 - 2x = 75
5x = 45
x = 9
15 - 9 = 6
y = 6
9 pounds of chocolate candies and 6 pounds of sugar candies
The owner should use 6 pounds of the chocolate candies, and the other 9 pounds of the sugar candies.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Given that owner of a grocery store wants to mix two kinds of candy together to make 15 lb that he can sell for $5.00 per lb.
He wants to use chocolate candies that he sells for $7.00 per lb and sugar candies that he sells for $2.00 per lb.
x + y = 15
y = 15 - x
(7x + 2y) / 15 = 5
7x + 2y = 15 x 5 = 75
7x + 2 (15 - x) = 75
7x + 30 - 2x = 75
5x = 45
x = 9
Now 15 - 9 = 6
y = 6
Threfore, we conclude that 9 pounds of chocolate candies and 6 pounds of sugar candies.
Learn more about equations here;
https://brainly.com/question/25180086
#SPJ2
You start hiking at an elevation that is 80 meters below base camp.
You increase your elevation by 42 meters. What is the new elevation
with respect to base camp?
Answer:
You are now 38 m below base camp.
Step-by-step explanation:
Consider the provided information.
You start hiking at an elevation that is 80 meters below base camp.
Now your initial location is 80 m below base camp, that can be represents as: -80
Now you increase your elevation by 42.
So you go up by 42.
In other words, you get the equation -80+42 = -38.
Since a negative value is below the base camp, this means that you are now 38 m below base camp.
PLEASE HELP SOLVE THIS
Answer:
-3
Step-by-step explanation:
hope this helps
Please answer the question below
Answer:
50 i think
Step-by-step explanation:
Chad worked for 4 3/5 hours and earned $34.73.
How much would he make if he worked for 6 1/5 hours?
Enter your answer in the box.
$
Answer:
2.3
Step-by-step explanation:
I NEED HELP ASAP....................................................
Answer: what’s the question?
Step-by-step explanation:
The science club is going to the space museum. The club consists of 27 students.
Answer:
did u forget to complete the question or.....
Find the zero of f(x)=-3x-18
Answer:
2 and -3
Step-by-step explanation:
The reason why these are the answers is because if you put it in your graphics calculator then you can see the only points where the diagram intersects with the x-axis would be at points 2 and -3 :)
Dominique and Ella are comparing
whose jet traveled faster. The graph
shows the relationship between the
total distance Dominique traveled
and the time in hours. The distance
Ella traveled after x hours can be
represented by the equation y - 550x.
Dominique's Travel
5
3300
Distance (mi)
2200
1100
0
2
8
4 6
Time (1)
Who, if anyone, traveled at a faster
speed? Explain.
idk what to put here lol
Answer:72
Step-by-step explanation:
The big one is 4 times the small one
Where does the line y = -4x + 9 cross the y-axis?
please help
Answer:
y = 9
Step-by-step explanation:
When the line crosses y-axix, x-co ordinate = 0
y = -4*0 + 9
y = 0 + 9
y = 9
Simplify the equation 6/x-1-5x/4
Step-by-step explanation:
The answer with explanation is in the image.
What is the value of the function f(x) = 7x when x = 0.75?
Answer:
when x = 0.75, f(x) = 7 * 0.75 = 5.25
Step-by-step explanation:
3. (02.02 MC)
Which of the following is the conjugate of a complex number with -1 as the real part and 3i as the imaginary part? (6 points)
O -1-3
O -1+ 3/
O-3i+ 1
O 3i+1
Answer:
O -1+ 3/
Step-by-step explanation:
brainest plz
Paula has a new beaded necklace. 70% of the 100 beads on Paula's necklace are blue. How many blue beads are there on Paula's necklace?
Answer:
70
Step-by-step explanation:
70% of 100 is 70 meaning there would be 70 blue beads
Find the common difference of the arithmetic sequence –9, -7, -5, ...