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:

2.4 hours

Step-by-step explanation:

The graph of the question is attached below.

A straight line graph is used to represent a linear equation. A linear equation is represented by the equation: y = mx + b, where y is the dependent variable, x is the independent variable, m is the rate of change and b is the intercept.

The equation of a line passing through two points [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] is given as:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]

Let y represent the distance in miles and x represent the time in hours. From the graph, the line pass through (1.5, 300) and (2.5, 500). Hence using:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-300=\frac{500-300}{2.5-1.5} (x-1.5)\\\\y-300=200(x-1.5)\\\\y-300=200x-300\\\\y=200x-300+300\\\\y=200x\\\\To\ find\ the\ time\ taken\ to\ travel\ 480 \ miles,we\ substitute\ y=480\ \\\\480=200x\\\\x=480/200\\\\x=2.4\ hours[/tex]

The Graph Below Shows The Relationship Between Time And Distance Traveled By A Race Car Moving At Aconstant

Related Questions

Answer this for 15 POINTS and BRAINLIEST

Answers

Answer:

6/15=y

Step-by-step explanation:

cuz

.1% as a decimal and fraction

Answers

decimal = 0.001
fraction = 1/1000

Percent Decimal Fraction

1%          0.01 1/100

Hope this helps

Write the equation of a line that is perpendicular to y=-2/7x+9 and that passes through the point (4,-6)

Answers

Answer:

y = 7/2x - 20

Step-by-step explanation:

The slope of a perpendicular line is the opposite reciprocal of the original slope.

-2/7 -> 7/2

Find the new y-intercept.

y = 7/2x + b

-6 = 7/2(4) + b

-6 = 14 + b

-20 = b

y = 7/2x - 20

Best of Luck!

Diego is collecting dimes and nickels in a jar. He has collected $22.25 so far. The relationship between the numbers of dimes and nickels, and the amount of money in dollars is represented by the equation 0.10d+0.05n=22.25. Select the THREE values (d,n) that could be solutions to the equation. ( 0 , 445 ) ( 0.50 , 435 ) ( 233 , 21 ) ( 118 , 209 ) ( 172 , 101 )

Answers

Answer:

Correct options are:

a) ( 0 , 445 )

d) ( 118 , 209 )

e) ( 172 , 101 )

Step-by-step explanation:

A nickel is worth 5 cents $0.05

A dime is worth 10 cents = $0.10

The relationship between the numbers of dimes and nickels, and the amount of money in dollars is represented by the equation 0.10d+0.05n=22.25. Select the THREE values (d,n) that could be solutions to the equation.

a) ( 0 , 445 )

b) ( 0.50 , 435 )

c) ( 233 , 21 )

d)( 118 , 209 )

e)( 172 , 101 )

Verifying the options

a) ( 0 , 445 )

0.10d+0.05n=22.25.

= 0.10(0) + 0.05(445) = 22.25

= 22.25 = 22.25

Options a) is correct

b) ( 0.50 , 435 )

0.10d+0.05n=22.25.

= 0.10(0.50) + 0.05(435) = 22.25

= 21.8 ≠ 22.25

Option b is incorrect

c) ( 233 , 21 )

0.10d+0.05n=22.25.

= 0.10(233) + 0.05(21) = 22.25

= 24.35 ≠22.25

Option c is incorrect

d) ( 118 , 209 )

0.10d+0.05n=22.25.

= 0.10(118) + 0.05(209) = 22.25

= 22.25 = 22.25

Option d) is correct

e) ( 172 , 101 )

0.10d+0.05n=22.25.

= 0.10(172) + 0.05(101) = 22.25

= 22.25 = 22.25

Option e) is correct

sequence
an = 3n² -2; a14 = ______​

Answers

Answer:

586

Step-by-step explanation:

To find a₁₄ , substitute n = 14 into the n th term formula

a₁₄ = 3(14)² - 2 = 3(196) - 2 = 588 - 2 = 586

ONLY NEED HELP WITH 6 I PUT A PICTURE ABOVE DUR VERY SOON!!!!!!!

Answers

Answer:

slope is 4

y-intercept is 1

What value of X will make the following equation true?
14x - 12 = 4 - 42x

Answers

The answer to the equation is  [tex]x=\frac{2}{7}[/tex]

First, you must add 12 on each side

[tex]14x=16-42x[/tex]

Then, you add 42x on each side

[tex]56x=16[/tex]

Finally, divide each side by 56

[tex]x=\frac{2}{7}[/tex]

The value of x = 2/7 which makes the equation 14x - 12 = 4 - 42x true.

What is a linear equation?

A linear equation is an equation in which the highest power of the variable is always 1. The standard form of a linear equation in one variable is of the form Ax + B = 0.

14x - 12 = 4 - 42x

14x + 42x = 4 + 12

56x = 16

x = 2 / 7

Therefore, The value of x = 2/7 which makes the equation 14x - 12 = 4 - 42x true.

Learn about linear equations here:

https://brainly.com/question/11897796

2(3c + 3) < 6c + 9

A. No Solution
B. All Real Numbers
C. c > 1
D. c < 1

Answers

Answer: B. All real numbers

Work Shown:

2(3c+3) < 6c+9

6c+6 < 6c+9 .... distribute

6c+6-6c <6c+9-6c .... subtract 6c from both sides

6 < 9 ... note the c terms go away entirely

We're left with a statement that is always true since 6 is always less than 9 regardless of what value of c we pick. So there are infinitely many solutions. Any real number can replace c to get a true statement.

Answer:

B. All Real Numbers

Step-by-step explanation:

PLEASE HELP!! DUE IN AN HOUR!

Answers

Answer:

Step-by-step explanation:

4. angle  3= 117, angle 4 and angle 2=63

5. angle 4= 59, angle 1 and 3= 121

6. angle 2= 88, angle 1 and angle 3= 92

Can anyone help, i kinda forgot how to do these-

Answers

Answer:

more than half the students earned higher than 80% on the test

Step-by-step explanation

help please! the graph below​

Answers

Answer:

The constant of proportionality is basically just the slope, so the answer is 1/6.

Step-by-step explanation:

Count how many Y units it goes up to get the the black point  from (0,0) (the origin). You go up 1 unit to go 6 units to the right meaning the slope is 1/6.

That is the rise over run technique and there are many others, such as point slope form, and y2-y1 over x2-x1.

Hope this helps!

If t^3=6427, what is the value of t?

Answers

2Answer:

r22

Step-by-step explanation:

Julie and Carlos each generated a real number equivalent to
64
Which expression could NOT belong to Julie or Carlos?
ОА
15.8-2
B
8-2.22
С
4-4.2²
D
2-10.24

Answers

100-100-200300.00 and B. 12.3

Explain how to get this answer 2m+3p+4m-p

Answers

Answer:

6m+2p

Step-by-step explanation:

Simplify the expression

To answer the equation 2m+3p+4m-p, we first combine like terms, so we do (2m+4m)+(3p-p) and make it 6m+2p
So you SIMPLIFIED answer is 6m+2p and your FACTORED answer is 2(3m+p) since both sides can be divided by 2 evenly

What is the equation for the situation? [The number of pizza meals sold by the concession stand was three times the number of hot dog meals. If the pizza meal cost $4, the hot dog meal cost $2, and the total revenue from the meals was $658, how many of each meal was sold?] 1 point

Answers

Answer:

164.5

Step-by-step explanation: just sat it was mental math

Which of the following is an example of control ?
A) Performing five different studies of the same drug
B) Repeating a study 10 times
C) Studying the effects of both therapy and no therapy on students
D) Assigning fest subjects to test groups arbitrarily

Answers

Answer:

C) Studying the effects of both therapy and no therapy on students

Step-by-step explanation:

Answer:

it’s d just did the quiz the above is no smart

Step-by-step explanation:

For Exercises 19-24, a, b, c, and d are distinct lines in the same plane. For each combination of relationships, tell how a and d relate. Justify your answer.

I don't understand the symbols​

Answers

Answer:

a is parallel to d

a and d are parallel, and are perpendicular to c and d (those are parallel to each other)

RESULT

They are parallel

Step-by-step explanation:

The distinct lines in the exercise are either parallel or perpendicular.

19. a and d are parallel lines20. a and d are perpendicular lines21. a and d are parallel lines22. a and d are perpendicular lines23. a and d are parallel lines24. a and d are parallel lines

In geometry, || means parallel lines, while [tex]\mathbf{\perp }[/tex] means perpendicular lines

From the complete question (see attachment), we have the following highlights

Question 19.

Lines (a) to (d) are parallel.

So, lines (a) and (d) are parallel lines

Question 20.

Lines (a) to (c) are parallel.

But line (c) is perpendicular to line (d)

So, lines (a) and (d) are perpendicular lines

Question 21.

Lines (a) and (b) are parallel.

Lines (b) and (c) are perpendicular; so, lines (a) and (c) are perpendicular lines

Lines (c) and (d) are perpendicular; so, lines (a) and (d) are parallel lines

Question 22.

Lines (a) and (b) are perpendicular.

Lines (b) to (d) are parallel; so, lines (a) and (d) are perpendicular lines

Question 23.

Lines (a) and (b) are parallel.

Lines (b) to (d) are perpendicular; so, lines (a) and (d) are parallel lines

Question 24.

Lines (a) and (b) are perpendicular.

Lines (b) and (c) are parallel; so, lines (a) and (c) are perpendicular lines

Lines (c) and (d) are perpendicular; so, lines (a) and (d) are parallel lines

Read more about parallel and perpendicular lines at:

https://brainly.com/question/2073323

One gallon is equal to about 3.7854 liters.

What is this amount rounded to the nearest thousandth?

Answers

Theeee answer is 3.785

In January, Jeff bought three rabbits. By February, the rabbit population
had doubled. By March, Jeff noticed that the population of the rabbits
had doubled again. How many rabbits will Jeff have by May?

Answers

Answer:

Jeff will have 48 rabbits by May

e=mc squared, but solved for m. Thanks for any help!

Answers

Answer:

e/c=m

Step-by-step explanation:

To solve for "m" you need to isolate the variable. Since m is being multiplied by c you need to do the opposite operation, division. The Division Property of Equality tells us that we are allowed to divide the equation by any number as long as we divide it by both sides. So e/c=mc/c, then the c's cancel out, and your final answer is e/c=m.

Five times the sum of a number and 3 is 35. Find the number.

Answers

Answer:

4

Step-by-step explanation:

Let the required number be x.

Since, Five times the sum of a number and 3 is 35.

[tex]5(x + 3) = 35 \\ \\ x + 3 = \frac{35}{5} \\ \\ x + 3 = 7 \\ \\ x = 7 - 3 \\ \\ x = 4[/tex]

the number would be 4 because 3+4=7 & 7x5=35

If x – 10 = 5x - 10, what is the value of x?

Answers

Answer:

[tex]\boxed {x = 0}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]x - 10 = 5x - 10[/tex]

-Take [tex]5x[/tex] and subtract it from [tex]x[/tex]:

[tex]x - 10 - 5x = 5x - 5x - 10[/tex]

[tex]-4x - 10 = -10[/tex]

-Add [tex]10[/tex] to both sides:

[tex]-4x - 10 + 10 = -10 + 10[/tex]

[tex]4x = 0[/tex]

-Since [tex]4x[/tex] does not equal to [tex]0[/tex], then [tex]x[/tex] must equal to [tex]0[/tex]:

[tex]\boxed {x = 0}[/tex]

passes through (4 -7) and has vertex (1 -6) in vertex form. I need it quickly, please!!!

Answers

Wait a minute - sorry I misunderstood the question lol

The equation of the parabola is y = -1/9(x- 1)^2 - 6.

What is vertex form of a quadratic equation?

If a quadratic equation is written in the form

y=a(x-h)^2 + k

then it is called to be in vertex form.

It is given that the equation passes through (4 -7) and has vertex (1 -6) in vertex form will be;

y=a(x-h)^2 + k

Since the vertex is at (1, -6), we can write the equation as

y = a(x- 1)^2 - 6

Also, since the parabola passes through (4, -7), we can find the value for a,

-7 =  a(4 - 1)^2 - 6

-7 = 9a - 6

a = -1/9

Hence, the equation of the parabola is

y = -1/9(x- 1)^2 - 6

Learn more about vertex form of a quadratic equation here:

https://brainly.com/question/9912128

#SPJ2

Before soccer practice, Laura warms up by jogging around the outside of the entire soccer field. Measures 80meters by 120meters If Laura wants to know how much Meyers she jogged in all, which measurement should she find? A- perimeter B-Length C-Area

Answers

Answer:

PERIMETER

Step-by-step explanation:

If Laura wants to know how much Meyers she jogged in all, then she will need to find the perimeter of the entire soccer field.

Perimeter is a distance along the edges of a geometric shape.

Since the soccer field is rectangular in nature, the perimeter is calculated as;

P = 2(L+W)

L is the length

W is the width

Given

Length = 80meters

Width = 120metres

P = 2(80+120)

P = 2(200)

P = 400m

The total distance she covered is 400m

Hence the measurement she should find is Perimeter.

Complete the table below using the Midpoint and Distance Formulas.

Given: M is the midpoint of LaTeX: \overline{AB}A B ¯ and A is the midpoint of LaTeX: \overline{MB_1}M B 1 ¯

Diagonal Line Segment
Coordinates of A (-12,4)
Coordinates of M (12,11)
Coordinates of B (
36
,
18
)
Coordinates of B1 (
36
,
18
)
Length of AB
50
Length of AB1
12.5

Answers

Answer:a

Step-by-step explanation:

help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help

Answers

Answer:

Blue, the first one.

36x + 145 = 433.

Answer:

its blue

Step-by-step explanation:

A paving company makes concrete by adding water to a mix that is 1 part cement, 3 parts sand and 3 parts aggregate (stone). What fraction of this mix is aggregate? Express your answer as a common fraction.

Answers

Answer:

3/7 is your answer

Step-by-step explanation:

all I do is add all the numbers and take aggregate over the total

URGENTT
maxs team scored 230 runs in 40 overs. Williams team scored 280 runs in 50 overs

A) calculate each team's run rate per over
B) which team had a better run rate?​

Answers

Answer:

Max's team 5.75

Williams team 5.6

Max's team had better run rate

Find the distance between the following two points:
(4,-1) and (7,-3)

Answers

Answer:

[tex]d = \sqrt{13}[/tex]

Step-by-step explanation:

Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug in the 2 coordinates into the distance formula to find distance d:

[tex]d = \sqrt{(7-4)^2+(-3-(-1))^2}[/tex]

[tex]d = \sqrt{(3)^2+(-3+1)^2}[/tex]

[tex]d = \sqrt{9+(-2)^2}[/tex]

[tex]d = \sqrt{9+4}[/tex]

[tex]d = \sqrt{13}[/tex]

Find the difference in altitude between 2,933 feet on a mountain peak and - 298 feet on a valley floor. The difference in altitude is feet.

Answers

Answer:

3,231 feet

Step-by-step explanation:

Find the difference between the two heights by subtracting them:

2933 - (-298)

2933 + 298

= 3231

So, the difference in altitude is 3,231 feet

Answer:

3,231

Step-by-step explanation:

To get the answer, you should:

2,933 + 298 = 3,231

Other Questions
closest square root of 59.4 Each of the following statements is justified by a fundamental quality or an enhancing of quality accounting. Match the letter next to each statement corresponding to the quality involved. A. Comparability D. Consistency B. Understandability E. Relevance C. Verifiable F. Faithful representation 1. A company uses the same accounting principles from year to year. 2. Information that is free from error. 3. Information presented in a clear and concise fashion. 4. Information that makes a difference in a decision. 5. Information accurately depicts what really happened. formal economy reasons Determine the mass of water in kg, if 4300 cal of energy is placed in water, resulting in a temperature change to 101.0 oC from 92.5 oC. how does cancer affect our body tissue What is 6 2/3 as a percent? B. Da la palabra del vocabulario cuya definicin sigue.1. una gran cena2. edificio del gobierno municipal3. templo religioso4. el joven que se casa la joven5. lo que firman los novios durante una ceremonia civil6. presidente(a) de un ayuntamiento de un pueblo o municipio Qualified Business Income (QBI) Deduction (LO 4.10)Rob operates a small plumbing supplies business as a sole proprietor. In 2018, the plumbing business has gross business income of $421,000 and business expenses of $267,000, including wages paid of $58,000. The business sold some land that had been held for investment generating a long-term capital gain of $15,000. The business has $300,000 of qualified business property in 2018. Rob's wife, Marie, has wage income of $250,000. They jointly sold stocks in 2018 and generated a long-term capital gain of $13,000. Rob and Marie have no dependents and in 2018, they take the standard deduction of $24,000.The income threshold for QBI limitations starts at $315,000 for married filing jointly taxpayers.a. What is Rob and Marie's taxable income before the QBI deduction?$b. What is Rob and Marie's QBI?$154,000What is Rob and Marie's QBI deduction?$** Please give explanation and not just the answer. Thank you! ** The _______, who loved knowledge and built schools to help their people learn, werefoundational in the study of science.A.FrenchB.ChineseC.RomansD.Greeks A rod of length Lo moves iwth a speed v along the horizontal direction. The rod makes an angle of ()0 with respect to the x' axis. Required:a. Show that the length of the rod as measured by a stationary observer is L=L0[1-v^2/c^2 cos^2()0]. b. Show that the angle the rod makes iwth the x-axis is given by the expression tan(theta)=tan()0/(1-v^2/c^2)^.5 There are 8 states in the United States that begin with the letter M. If you chose a state at random, what is the probability you get a state that begins with the letter M? What is the probability you dont get a state that begins with the letter M? There are 270 students at Colfax Middle School, where the ratio of boys to girls is 5:4. There are 180 students at Winthrop Middle School, where the ratio of boys to girls is 4:5. The two schools hold a dance and all students from both schools attend. What fraction of the students at the dance are girls? Use the ratio and number of students to determine how many girls are there at Colfax Middle School.Colfax 270 total student 5 boys 4 girls---4 girls---/------ = x girls--------/-270 total student------ which of the following is not type of bone a:long b:short c:flat d:round Find the constant rate of change! Cai bought popcorn for herself and 2 friends, plus a drinkonly for herself. The popcorn cost $2 for each person, andthe total cost for Cai's purchase was $7.50. If d is thecost of a drink, which equation below could be used todetermine the cost of Cai's drink? Solve the equation for x. -8(x +9) +6= - 66 Mindy spent $6.24 for a new binder, $1.95 for a notebook, and $5.59 for a new packof her favorite mechanical pencils. About how much did she spend? How many pounds does an 10 kilogram object exert on the Earth? (Round to the nearest whole number and do not include units in your answer.) Note: There are 2.205 pounds in a kilogram. Samuel Gompers and others like him supported the system called capitalism, in whicha.the government could decide how many hours a week a person could work.b.the government or the workers own and operate a nations means of production.c.private businesses run most industries, and competition determines how much goods cost and how much workers are paid.d.all workers must join a factorys union. What can act as a buffer against unemployment.A. EducationB. HealthC. Right contactsD. Good looksE. Bribe