The graph below shows the relationship between time and distance traveled by a race
car moving at a constant rate and at its maximum speed. How long did it take the
race car to travel 480 miles?
Race Car Data
Distance (miles)
800
700
600
500
400
300
200
100
0
0.5 1.5 2.5 3.5 4.5 5.5 6.5
Time (hours)

Answers

Answer 1

Answer:

t = 4.2 h

Step-by-step explanation:

We can calculate the time taken by the car to travel 400 miles, easily by taking a difference of time in graph between 0 miles and 400 miles value:

t₄₀₀ = 3.5 h - 0 h

t₄₀₀ = 3.5 h

Now, we calculate the constant speed of the car from the following formula:

s = vt

v = s/t

where,

v = velocity of the car = ?

s = distance covered by the car = 400 mi

t = time taken = 3.5 h

Therefore,

v = 400 mi/3.5 h

v = 114.28 mi/h

Now, for this uniform speed the time taken to cover the distance of 480 miles will be:

114.28 mi/h = 480 mi/t

t = (480 mi)/(114.28 mi/h)

t = 4.2 h


Related Questions

You have at most $3.65 to make copies for a school project. Each copy costs $0.25. Write and solve an inequality that represents the number of copies you can make.

Answers

The equation for the problem is [tex]0.25x[/tex] ≤ [tex]3.65[/tex]

Hope it helps!

You can make the maximum number of copies would be 14.6 which is determined by the inequality 0.25x ≤ 3.65 where x represents the number of copies.

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

You have at most $3.65 to make copies for a school project. Each copy costs $0.25 which is given in the question.

As per the given condition, the required inequality would be:

⇒ 0.25x ≤ 3.65

Here x represents the number of copies

⇒ 0.25x ≤ 3.65

Divided by 0.25 both sides of the inequality, and we get

⇒ x ≤ 3.65/0.25

⇒ x ≤ 14.6

Therefore, you can make the maximum number of copies would be 14.6.

Learn more about inequalities here:

brainly.com/question/20383699

#SPJ2

I need some answers please a few is fine

Answers

Answer:

a) 1

b) 7

c) 12

d) 3

e) 4

f) 10

g) 25

h) 15

Help match them with the answer I would really appreciate it

Answers

Answer:

Graph 1 goes with the equation [tex]y = \frac{1}{2}x - 7[/tex]

Graph 2 goes to the equation y = [tex]-\frac{3}{4}x + 9[/tex]

Graph 3 goes to the equation y = x + 10

Simplify the following expression using the distributive property: -8(2x - 5)
(a) 16x - 10
(C) - 16x +40
(b) - 6x - 13
(d) - 6x
I
Answers? :(

Answers

Answer:

(B)-16+40

Step-by-step explanation: -8(2x-5)

-8*2=-16

-8*-5=40(positive because a negative multiplied by a negative is postive)

add the x to the answers...Then its -16x+40

Hope This Helps:)

Here is some information about the goals scored in some hockey games.

Each game has four quarters.

Goals in hockey games

Number

of goals 5

The mean number of home

goals scored is 2.5

The mean number of away

goals scored is 1.8

How many home and away

games have been played

in total?

3rd

2nd

Quarter

Away goals

Key:

Home goals

Answers

Answer:

48 goals

Step-by-step explanation:

From the attached image, we can see that:

Number of Home Goals = 9 + 6 + 8 + 7

= 30

Number of Away goals = 2 + 7 + 4 + 5

= 18

Total number of goals = 30 + 18

= 48

What is the equation of the line that passes through the points (-6,-7) and (6,3)

Answers

Answer:

[tex]y=\frac{5}{6} x-2[/tex]

Step-by-step explanation:

Point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

where [tex](x_1, \ y_1)[/tex] are coordinates of a point that the line passes through, and [tex]m[/tex] is the slope of the line.

We are given two points that the line passes through, but we are not given the slope.

We can find the slope by using the slope formula:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

where [tex](x_1, \ x_2)[/tex] and [tex](y_1, \ y_2)[/tex] are two points that the line passes through.

Substitute (-6, -7) and (6, 3) into the slope formula:

[tex]\frac{3-(-7)}{6-(-6)} = \frac{10}{12} = \frac{5}{6}[/tex]

The slope of this line is 5/6. Now we are able to use the point-slope equation to find the slope-intercept equation [tex](y=mx+b)[/tex] of this line.

Substitute a point that the line passes through and the slope of the line into the point-slope equation. I'm using the point (6, 3).

[tex]y-y_1=m(x-x_1)[/tex][tex]y-(3)=\frac{5}{6} (x-(6)[/tex][tex]y-3=\frac{5}{6} (x-6)[/tex]

Distribute 5/6 inside the parentheses.

[tex]y-3=\frac{5}{6} x-\frac{30}{6}[/tex][tex]y-3=\frac{5}{6} x-5[/tex]

Add 3 to both sides of the equation.

[tex]y=\frac{5}{6} x-2[/tex]

This is the equation of the line that passes through (-6, -7) and (6, 3) in slope-intercept form.

Solve for w.

−(14w+8)+8=3

w=134
w = 52
w=−34
w=−12

Answers

Answer:

w = -12

Step-by-step explanation:

maybe it's right

Answer: W = -12

Step-by-step explanation:

1 .i'm with k12 and got 100%

2 it tells me i got it right

-p(51+z) = Dz+84
Z=?

Answers

Answer:

[tex]z=\frac{3 (28 + 17p)}{p + D}[/tex]

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Three friends entered a race around a track. Edward takes 6 minutes to run one lap. Bernie takes 3 minutes to run one lap and it takes Freddie 5 minutes to run one lap. If all three friends begin the race at the same time, how many minutes will it take for all three friends to be at the starting point again?

Answers

Answer:

It will take 30 minutes

Step-by-step explanation:

Here, we want to calculate the time it will take for the three friends to be at the starting point again

What we do here is to note the time it will take for each of the three friends to run a lap

That will be 6 , 3 and 5

What we now need to know the time is to find the lowest common multiple of the three amount of time

The lowest common multiple of 6,3 and 5 is 30

So the amount of time it will take the friends to be at the starting point again is 30 minutes

(2/3) × (-6) × 5

please help me solve and show work​

Answers

Answer:

-20

Step-by-step explanation:

Use PEMDAS

[tex]\frac 2 3 * -6 * 5\\\frac 2 3*-30\\\frac {-60}{3}\\-20[/tex]

A car increases, then decreases, its speed. Which table could represent the speed of the car? A 2-column table with 5 rows. The first column is labeled time (minutes) with entries 5, 6, 7, 8, 9. The second column is labeled speed (miles per hour) with entries 45, 43, 41, 42, 43. A 2-column table with 5 rows. The first column is labeled time (minutes) with entries 5, 6, 7, 8, 9. The second column is labeled speed (miles per hour) with entries 45, 47, 49, 48, 47. A 2-column table with 5 rows. The first column is labeled time (minutes) with entries 5, 6, 7, 8, 9. The second column is labeled speed (miles per hour) with entries 45, 45, 45, 43, 41. A 2-column table with 5 rows. The first column is labeled time (minutes) with entries 5, 6, 7, 8, 9. The second column is labeled speed (miles per hour) with entries 45, 43, 41, 41, 41.

Answers

Answer:

The speed increases (45—>47—>49) then decreases (48—>47) over time.

Step-by-step explanation:

HOPE THIS HELPED ✨

Answer: The speed increases (45—>47—>49) then decreases (48—>47) over time.

How do u check your answer for 4x+12-2x=26

Answers

Answer:

7

Step-by-step explanation:

4x+12-2x=26

Or, 2x=26-12

Or, 2x=14

Or, x=7

PLEASE HELP!!! ILL GIVE BRAINLIEST

Answers

Answer:

*gives help*

:)

Step-by-step explanation:

Find the area and perimeter of a rectangle if the length is (x+7) and the width is (x+3).

Answers

[tex]\sf Length\:=\:(x+7) \\\\\sf

Breadth\:=\:(x+3) \\\\\sf

Area= Length\: x\: Breadth \\\\\sf

=(x+3)(x+7) \\\\\sf

=x^2+7x+3x+21 \\\\\sf

=x^2+10x+21 \\\\\sf

\boxed{Area=x^2+10x+21} \\\\ \\\\\sf

Now, \:Perimeter\:=\: 2x(length +breadth) \\\\\sf

=2(2x+10) \\\\\sf

=4x+20 \\\\\sf

\boxed{Perimeter=4x+20} [/tex]

[tex]l = (x + 3) \\ b = (x + 7)[/tex]

Area:

[tex] = l \times b \\ = (x + 3)(x + 7) \\ = x(x + 7) + 3(x + 7) \\ = {x}^{2} + 7x + 3x + 21 \\ = {x}^{2} + 10x + 21[/tex]

Perimeter:

[tex] = 2(l + b) \\ = 2((x + 3) + (x + 7)) \\ = 2(x + 3 + x + 7) \\ = 2(2x + 10) \\ = 4x + 20[/tex]

What is an equation of the line that passes through the point (-3,-7)(−3,−7) and is parallel to the line 3x-y=53x−y=5?

Answers

Answer:

y  = -3x-14

Step-by-step explanation:

Any line parallel to  

y

=

3

x

+

6

will be in the form  

y

=

3

x

+

c

for some constant  

c

If  

(

x

,

y

)

=

(

3

,

5

)

is a solution to such an equation, then replacing  

y

with  

(

5

)

and  

x

with  

(

3

)

gives

5

=

(

3

)

(

3

)

+

c

5

=

9

+

c

c

=

14

So the desired parallel line would have the equation

y

=

3

x

14

Please help me!!!! Due in 1 hour, whoever helps me will get a brainliest!

Answers

Answer:

1.) The ratio of peaches to oranges 5 : 4

2.) 3 : 12

3.) I have 8 fruits in total, but 2 blueberries. The ratio using numbers would be: 8 : 4

4.)

- 11 : 14

- 14 : 25

- 25 : 11

- 14 : 11

5.) a. False

b. True

c. False

d. True

e. True

Alice is correct. The ratio is 6 : 9 because the question asks what the ratio is of students playing volleyball (6) TO basketball (9).  

Hope this helped and I answered on time :)

Step-by-step explanation:

25% of students on a field trip wear glasses. If 40 students are on the trip how many do not wear glasses? ​

Answers

Answer:

30

Step-by-step explanation:

Answer: 30 students                        

6x10^5 is how many times as large as 3x10^3?

Answers

the answer would be 200 times as large

6x10^5=600000  

3x10^3=3000

600000/3000=200

Answer:

200 times

Step-by-step explanation:

If you invest $25.00 at 6% interest compounded monthly,
how much will you have after 1 year?

Answers

A=25(1+0.06/12)^(12)(1), A=25•1.005^12, A=26.54

A boy has 11 coins in dimes and quarters. Their value is $1.70. How many of each does he have?

Which of the following equations could be used to solve the problem?

x + (11 - x) = 1.70
0.10x + 0.25(11 - x) = 1.70
25x + 10(11 - x) = 1.70

Answers

0.10x + 0.25(11 - x) = 1.70

It has the correct values

Jacob has unlocked 6 less than
twice as many game levels as
Shannon. If Jacob has unlocked 14
levels, how many levels has
Shannon unlocked?

Answers

Answer:

Shannon has unlocked 40 levels.

Step-by-step explanation:

14 + 6 = 20

20 * 2 = 40

The money collected from a Saturday car wash are directly proportional to the number of cars washed. The total money collected after 7 cars is $140. Write an direct variation equation relating the money collected (m) and the number of cars washed

Answers

Answer:

[tex]m=20c[/tex]

Step-by-step explanation:

Let m represent the total money collected and c represent the amount of cars washed.

We know that the money collected is directly proportional to the number of cars washed. So, we can write the following equation:

[tex]m=kc[/tex]

Where k is a constant.

We know that the money collected after 7 car washes is $140. So, let's find our k by substituting 140 for m and 7 for c. This yields:

[tex]140=7k[/tex]

Find k. Divide both sides by 7:

[tex]k=20[/tex]

So, the value of k is 20.

We can now substitute k back into our direct variation equation:

[tex]m=20c[/tex]

This means that every car costs $20 to wash.

And we're done!

Answer:

7x140=980

Step-by-step explanation:

7x140= what

If the equation |5x − 10| = 45 has two solutions, then how many solutions does the equation |5x − 10| = −45 have? Explain.

Answers

Answer:

No solution

Step-by-step explanation:

It equals a negative so there is no solution

Mental Math Situation: You exercised 24 hours each month for a year. How many hours did you exercise by the end of the year? You may be able to do the math mentally thanks to expanded notation and the Distributive Property.​

Answers

Answer:

So 24 hours each month times 12 would be 288 hours of working out of one year.

Hope this helps!

Step-by-step explanation:

Answer: 288h

Step-by-step explanation:

There are 12 months in a year if you exercise 24h per month you have to multiply 12 x 24 = 288h

In January, a city’s snowfall was 5/8 foot below the historical average. In February, the snowfall was 3/4 foot above the historical average. Was the city’s snowfall in the two-month period above or below the historical average? By how much?

Answers

Answer:

The city's snowfall in the two-month period was above the historical average by 1/8 feet

Step-by-step explanation:

Fractions

The question provides the following information: In January, a city’s snowfall was 5/8 feet below the historical average. Let's assume the snowfall level to be positive if it's above the historical average and negative otherwise.

The data from January gives us a snowfall of -5/8 feet because it was below the average.

We also know in February, the snowfall was 3/4 foot above the historical average. Following our predefined convention, the data from February gives us a snowfall of +3/4 feet.

To know if the city's snowfall during the two-month period was above or below the historical average, we just need to add them, signs included.

If the result is negative, the two-month period showed a snowfall below the historical average.

Let's find the sum of

[tex]\displaystyle -\frac{5}{8}+\frac{3}{4}[/tex]

The LCM of 4 and 8 is 8, thus:

[tex]\displaystyle -\frac{5}{8}+\frac{3}{4}=\frac{-5+2*3}{8}=\frac{1}{8}[/tex]

Since this quantity is positive, we can say the city's snowfall in the two-month period was above the historical average by 1/8 feet.

what's the greatest common factor for 22 and 55

Answers

Answer: 11

Step-by-step explanation: the factors of 22 are 22, 11 and so on, and the factors of 55 are 55, 11 and so on hope this helped❤

The greatest common factor for 22 and 55 is, 11.

We have to given that;

Numbers are,

22 and 55

Since, The highest number that divides exactly into two more numbers, is called  Greatest common factors.

Here, Factors are,

22 = 2 x 11

55 =2 x  11

Thus,

The greatest common factor for 22 and 55 is, 11.

Learn more about the Greatest common factors visit:

https://brainly.com/question/219464

#SPJ6

please help!! giving 20 points !

What is the area of this rectangle?

Answers

Where are the options ????? Please tell

Order the numbers from least to greatest.


2.1,−610,−94,−0.75, 53

Answers

-610 -94 -0.75 2.1 53
Answer my latest question please

In the given figure, If the angles a and b are in the ratio 2:3, then angle cis:​

Answers

Answer:

figure is missing mate

Find the slope. ( include whether positive or negative.)​

Answers

Answer:

that is a negative slope

but dont know how to find the slope sorry

Step-by-step explanation:

[tex]\tt Step-by-step~explanation:[/tex]

Remember: To find the slope, we use the equation Rise/Run.

[tex]\tt Step~1:[/tex]

Let's find the rise first. Rise = How many units it goes up/down We can count down 6 units from the origin. Our rise is - 6.

[tex]\tt Step~2:[/tex]

To find the run. we count left/right. We could count 8 units. Our run is 8.

The slope is negative because it slopes downwards. If the slope is positive, then the line would be rising up.

[tex]\tt Step~3:[/tex]

To find the slope, we use the formula rise/run.

[tex]\tt \frac{-6}{8}=-\frac{3}{4}~or~ -0.75[/tex]

[tex]\large\boxed{\tt Our~final~answer:~m=-\frac{3}{4}~or~-0.75;~Negative~slope}[/tex]

Other Questions
what is the sum of $13.89, $6.70, and $3.05 im to lazy to do it lol 35 points essay about need Cultural reflection need help Neurons, as with other excitable cells in the body, have two major physiological properties: ____________ and ____________. A neuron has a positive charge on the outer surface of the cell membrane due in part to the action of an active transport system called the ____________. This system moves ____________ out of the cell and ____________ into the cell. The inside of the cell membrane is negative, not only due to the active transport system but also because of ____________, which remain negative due to the intracellular pH and keep the inside of the cell membrane negative. What is a sentence fragment and can you give me an example of one please SOS I NEED HELP ASAP I WILL GIVE BRAINLIEST Do cells in many-celled organisms all look the same or different? Explain. Add 1 to half of h.How to write in algebraic expression? 85 +6-10What is the answer for this Which angle is a vertical angle with Angle EFD? what is the answer of this 100 x 20 = Sabermetricians identified two flaws with usingbatting average to measure the value of players.What are they? Find the value of x in each of the followinga) 2x/3= 8b) 3x/2=6 The head of the Christian Church in Europe is called the Holy Roman Emperor.Please select the best answer from the choices providedTFThe answer is true What are the two specific concerns of species diversity?Species diversity is concerned with bothand Rhetorical analysis is only analyzing the author's use of ethos.TrueFalse Balu and Pumba shared of a cake. Balu got to eat twice as much cake as Pumba. What fraction of the whole cake did Balu eat? When a muscle is being lengthened it is performing a/an ________ muscle action?ConcentricIsometricEccentricIsotonic Item 5Which viewpoint does Dr. King express in his "I Have a Dream" speech?African Americans should separate themselves from white Americans.There is more inequality now than there was during slavery.There will never be justice and freedom for all people in America.African Americans have not achieved the equality they were promised. What is the minimum number of x-intercepts that a polynomial of degree 10 can have? es termino excluido CANSANCIO A. Abatido B. Agotado C. Exhausto D. FatigadoE. Extenuado Vote you brainiest Please just help me thank yo us so much