Written Portion
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
8400
300
200
100
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 is a straight line graph. A straight line graph is used to represent a linear equation. A linear equation is represented by the equation: y = mx + c, where y is the dependent variable, x is the independent variable, m is the slope (rate of change) and c is the intercept.

A line passing through the point [tex](x_1,y_1)\ and\ (x_2,y_2)\[/tex] can be represented by the equation:

[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 (0.5, 100) and (3.5, 700). Hence using:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-100=\frac{700-100}{3.5-0.5} (x-0.5)\\\\y-100=200(x-0.5)\\\\y-100=200x-100\\\\y=200x-100+100\\\\y=200x\\\\To\ travel\ 480 \ miles,we\ substitute\ y=480\ and\ find\ x\\\\480=200x\\\\x=480/200\\\\x=2.4\ hours[/tex]

Written PortionThe Graph Below Shows The Relationship Between Time And Distance Traveledby A Race Car

Related Questions

Find the value of this triangle!

Answers

From what I understand, we need to find x, y, and z.

We can easily find x by knowing a triangle has 180°.

Add 72+86=158 and then subtract 180-158 which gets you 22.

Now we have x=22°.

To find y, we first must find z. We can find z using the vertical angles theorem. This means x and z and the same, so z=22°.

Now, we can now find y by adding 70 and 22 = 92.

Subtract 180-92=88°.

All values have been found!

x=22°

y=88°

z=22°

PLEASE HELP ASAP 20 PTS

1. Name two vertical angles.
2. Name a linear pair with vertex B.
3. Name an angle not adjacent to, but complementary to ZFGC.
4. Name an angle adjacent and supplementary to ZDCB.
5. Write the statement All dogs have four feet in if-then form.

Answers

1. H and E i dont know the rest if I’m being completely honest but there’s the first one for you

How long does it take for a snail to crawl 84 inches

Answers

Answer:

Step-by-step explanation:

You are not authorized to post a reply. A snail is at the bottom of a well 30 feet deep. It crawls up 3 feet each day, but at night, it slips down 2 feet. How long does it take for the snail to crawl out the well? 28 days. On the last day he would have reached the top and escaped before sliding down that night.

Answer:

2.55 minutes it takes a snail to crawl 85 inches

i hope this helps you


m_1=3x, m 2 = 4x, m 3 = 2x, find x.
10
20
30
40

Answers

Answer:

x=20

Step-by-step explanation:

3x+4x+2x = 180

9x =180

x = 20

note: brainliest would be appreciated.

Is -90 a rational number help

Answers

Answer:

yes u can make it a fraction

Answer:

YES!

Explanation:

Rational numbers are all positive and negative numbers and can be written as a fraction.

please help me i’m being timed

Answers

Answer:

top l) -4[tex]\frac{4}{5}[/tex]

top r)-7.5

bottom l) 1.5

bottom r)-2[tex]\frac{2}{5}[/tex]

Step-by-step explanation:

1.) x, y, and x?

abcdefg

Answers

Answer:

x and y vertex is (-2,-9)

and the x-intercept(s): (1,0), (-5,0)

I hope this helps

if you could, feel free to mark me Brainliest it would be much appreciated :D

Answer:

I dont really know

Step-by-step explanation:

In the process of making a financial forecast, Farid has been looking closely at his
variable expenses. Currently, each week he spends an average of $25 on food, $30 on
entertainment, and $40 on clothing and other purchases. If Farid reduced his variable
expenses in each of these three categories by $7 a week, how much would he save
over the course of one year?

Answers

Answer:

1092

Step-by-step explanation:

first calculate expense for each week;

25+30+40= 95

expense after saving

25-7= 18

30-7=23

40-7=33

18+23+33= 74

total saving for each week= 95-74=21

(you can also just do 7*3=21 to know total saving each week)

weeks in a year=

365 days/7= 52.14 = 52 weeks

total savings for the year= 52*21=$1092

Answer:

$1092

Step-by-step explanation:

There are 3 variables

Food, entertainment and clothing and other purchases

Saving amount is

$7 per each variable per week

Total saving per week is

$7*3 = $21

Saving per year considering 52 weeks per average year is:

$21*52 = $1092

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Well for me part 3 would’ve been the most confusing part. Lesson one and two are more simply reading the equation and going off that in your graph and part 4 is multiplication or division. Rotations you have to have an extra step. Not sure what ur asking but I hope this helps.

Which expression correctly represents “ten times the difference of a number and six”?

Answers

Answer: 10(x-6)

Step-by-step explanation:

Answer:

10(n-6)

Step-by-step explanation:

Mario had 12 apples and gave away x apples. Luigi had 26 apples and gave away three times as many apples as Mario did. How many apples did Mario give away if they had the same number of apples left?​

Answers

Answer:

7 Apples

Step-by-step explanation:

For this question, we can write expressions for Maria's apples and Luigi's apples and form an equation as they end up with the same amount.

Mario starts with 12 apples but gives away x number. This means Mario's final amount of apples can be represented as: 12-x

Similarly Luigi starts with 26 and gives away 3 times the amount of Mario. So the number he gave away can be represented as: 3x (3 times the number Mario gave away). Therefore we can represent Luigi's final number as: 26-3x

Since they both end up with the same number of apples, we can put these expressions equal to each other in an equation to solve for x (the number of apples Mario gave away):

Mario             Luigi

12-x       =      26-3x

12-x=26-3x

Now we just need to move the unknowns to one side and the other terms to the other, combine and solve:

12-x-12=26-12-3x

-x=14-3x

-x+3x=14-3x+3x

2x=14

2x/2=14/2

x=7

Mario gave away 7 apples.

Hope this helped!

Line segment AB has endpoints at B (2 , 4) and A (22 , 4). Find point C so that it is located 3/4 of the way from A to B.

Answers

Answer:

need points

Step-by-step explanation:

need points

Write an addition expression that equals 8. Use at least 1 zero pair (i think I’m just slow lol)

Answers

Answer:

8 use at least one zero That what they said in my math class I hope the answer right

Which of the following is a solution of (x - 5)(x + 7) = 3x + 21
0
45
8
5

Answers

[tex](x - 5)(x + 7) = 3 x + 21[/tex]

[tex](x - 5)(x + 7) = 3(x + 7)[/tex]

[tex](x - 5)(x + 7) - 3(x + 7) = 0 \\ [/tex]

[tex](x + 7)(x - 5 - 3) = 0[/tex]

[tex](x + 7)(x - 8) = 0[/tex]

[tex]x + 7 = 0 \\ x = - 7[/tex]

Or

[tex]x - 8 = 0 \\ x = 8[/tex]

5x-2y=15 solve for y

Answers

Answer:

this should be it

Step-by-step explanation:

In a school of 200 students, 90 students are in the marching band, 145 students are on sports teams and 75 students participate in both activities. How many students are involved in either band or sports?

A. 75
B. 160
C. 220
D. 230
E. 165

Answers

Answer:

c

Step-by-step explanation:

Write the fraction eight-fifths as an equivalent fraction with a numerator of 40

Answers

Answer:

40/25

Step-by-step explanation:

8*5=40

so you can also do 5*5=25 to get your denominator

your answer is 40/25 :)

It costs $11.50 to rent a canoe and $5.50 to use the canoe for an hour. You have $28. Write an equation that represents the number h of hours you can rent the canoe

Answers

Answer:

(28 - 11.5) ÷ 5.5

Step-by-step explanation:

So let's examine this question.

We have already payed $11.50 the rent the canoe, so we have $16.50. Divide that by $5.50, and you get 3. So, 3 hours.

Now for the expression.

You start out with $28. You subtract $11.50 from it because it is being used to rent the canoe. You then divide your answer by $5.50 to determine how many hours you can use the canoe for.

Hmm.

(28 - 11.5) ÷ 5.5 = h

(28 - 11.5) ÷ 5.5 = 3

Literal equations are equations containing

Answers

Answer:

Literal equations, simply put, are equations containing two or more variables. Your goal is to solve for just one variable with respect to others

Step-by-step explanation:

literal literal equations are equations that contain more than one variable

Two shelters offers dog adoption twice a year ruff had 123 dogs adoption in january 196 fogs adoption in July barks had 78 dogs adoption in January and 135 adoption in July estimates the difference in the number of dogs adoption at each shelter that year

Answers

Answer:

106

Step-by-step explanation:

ruff

123 dogs adoption in january

196 dogs adoption in July

Total adoption for the year = 123 + 196

= 319 adoptions

barks

78 dogs adoption in January

135 adoption in July

Total s like adoption for the year = 78 + 135

= 213 adoptions

Difference in the number of dogs adoption at each shelter that year

= Ruff total adoption for the year - Bark's total adoption for the year

= 319 adoptions - 213 adoptions

= 106

The difference in the number of dogs adoption at each shelter that year is 106

Find the next two numbers in the pattern.

−12,60,−300,1500

Answers

the pattern is

multiplied by -5

so...

1500 *-5 = -7500

-7500*-5 = 37500

hope this helps

Answer:

-7500,37500 are next two numbers in the pattern

Pedmas
When solving Pedmas and there are brackets inside brackets what should you do to get the operations right?

13POINTS!!
Could mark as brainelist

Answers

Answer:

Step-by-step explanation:

You do what's in the innermost brackets first, unless you have an unknown variable.

answer this please please ​

Answers

Answer:

B = 3

Step-by-step explanation:

The answer has to be 3 because this is a 3-4-5 triangle. We can also you the Pythagorean theorem to solve for B.

a²+b²=c²

(4)²+b²=(5)²

16+b²=25

b²=9

√b=√9

b=3

HELP!
i picked the wrong answer and my reach won’t let me out the class until i get it right

Answers

Answer:

a

Step-by-step explanation:

Which value is irrational? −13.6¯¯¯ − 13. 6 ¯ 0 0 10−−√ 10 6.1357

Answers

Answer:

1. If the roots of the quadratic equation ax2 + bx + c = 0 are real, irrational, and unequal, then the value of the discriminant is

2. Factored completely, the expression 16 tanθ - tan3θ is equivalent to

3. High school officials wanted to assess the need for a new diving board. They created a survey and distributed it to a large, diverse crowd at the State Swim Meet held at their school. Which characteristic of the survey is most likely to create a bias?

4. Which expression is equivalent to cos P cos 50 - sin P sin 50?

5. What is the product of the roots of the quadratic equation 2x2 - x = 4? 6. In which method of data collection does the researcher intentionally intervene to arrange for a comparison of results?

7. Which equation could be represented by the graph below?

8. The first four terms of the sequence with a1 = 40 and an = 3/4 an-1 are

9. Which diagram represents an angle of 7/4 pi; radians in standard position?

Step-by-step explanation:

Answer:

The one with the √

Step-by-step explanation:

If it has a √ it always means its irrational

Hope this helps!

Determine if -81.42 is rational or irrational. If it is rational, write the number as a ratio of two integers.​

Answers

Answer:

-81.42 is a rational number

Step-by-step explanation:

[tex] - 81.42 \\ \\ = - \frac{8142}{100} \\ \\ = - \frac{8142 \div 2}{100 \div 2} \\ \\ = - \frac{4071}{50} \\ \\[/tex]

Answer: It is a rational number.

A rational number is a number that can be represented as a fraction.

The fraction can be: [tex]- \frac{4071}{50}[/tex] because:

[tex]-\frac{81.42}{100}[/tex] ÷ 2 = [tex]\frac{40.71}{50}[/tex]

The answer is yes, it is rational.

Jay decides to go parachuting. Her elevation drops by-80 feet in 8 seconds, How far is she dropping each second

Answers

every second she drops -10 feet

Answer:

10 feet per sec

Step-by-step explanation:

since she dropped by 80 feet in 8 sec therefore she dropped 10 feet in 1 sec

simplify in picture below

Answers

Answer:

11

Step-by-step explanation:

Use PEMDAS

11 make sure you use pemdas

A school has a square playground with each side
measuring 120 feet. A scale drawing of the playground uses the scale 1/2 inch equals 12 feet. What is the length of a side of the playground on
this scale drawing?

Answers

i think it’s c or d but i’m not completely sure so i’m so sorry if i’m wrong

Do supplementary angles always form a straight line

Answers

Answer:

Yes

Step-by-step explanation:

Supplementary angles are a set of angles that always add up to 180 degrees.

Other Questions
Help pleaseee ASAP ASAP Which is one way that the movement of matter through an ecosystem is different from the transfer of energy?A. Only the movement of matter involves living things.B. Only the movement of matter flows in one direction only.OC. Only the movement of matter occurs in an unending cycle.oD. Only the movement of matter involves feeding relationships. Cassies score in a card game is 4 points away from zero. If Juanitas score is the opposite of Cassies and is a negative value, what is Juanitas score? Black coffee and a cold shower can help sober you up? True and False A student measured the mass of some sodium chloride for a lab. the lab called for 6.25 g (the accurate measurement ) , but the student measured 6.00 g instead . what is the percent error for this mass ? Show your work . I need help Match each words with its definition!!!Please helpppppppp Which is not a force?O momentumO frictionO pullO weight Consider this situation: A block is at rest on an inclinedplane. Of the forces listed, identify which act upon the block. normal gravity applied friction tension air resistance people with____ need to check there blood sugar level on a regular basis I promise this the last one but how do you do these type of problems? that is $21.246 and that is 28.637 and 1.50535.thx The purpose of this passage is to provide ananalogy to compare the military might of the Utopians to that of other cultures.anecdote to illustrate the circumstances under which Utopians go to war.example to explain why the Utopians should be feared as superior warriors.exciting fact to show the passion with which Utopians fight their enemies 3.-8= (2.8) - 8 is it true or false 3. What are 3 ways to improve your cardiovascular system? Celea pays $50 for a 15-month subscription of a newspaper. How much does she pay per month? What is the volume of a cone with a hieght of 27 cm and a radius of 13 cm ? Round your answer to the nearest tenth. Three towns are linked by three straight roads. Loretta Adman has created a three-sided billboard that she wants to position as close as possible to all three roads. To do this, she needs to find the ____ of the triangle formed by the three roads.Answer Choices:CenterIncenterCircumcenter Sedimentary rock turns into magnum through which process The Ideas described in this passage from the constitution of the united states most directly reflected which of the goals of American leaders and the Constitutional Convention?A. Establishing federal control over all trade conducted by individual statesB. Ensuring southern support for replacing the articles of confederation C. Protecting States rights to political independence within the federal systemD. Providing balance between small and large states political influenceThe part of the constitution:Representatives and direct Taxes shall be apportioned among the several States which may be included within this Union, according to their respective Numbers, which shall be determined by adding to the whole Number of free Persons, including those bound to Service for a Term of Years, and excluding Indians not taxed, three fifths of all other Persons. . . .No Person held to Service or Labour in one State, under the Laws thereof, escaping into another, shall, in Consequence of any Law or Regulation therein, be discharged from such Service or Labour, but shall be delivered up on Claim of the Party to whom such Service or Labour may be due. If the herbivore population in an ecosystem increased what would most likely happen to the size of the carnivore population