10
MILEAGE OF PETER'S CAR
160
140
Miles Traveled
8 8 8 8 8 8 8 8
60
1 2 3 4 5 6 7 8 9 10
Gallons of Gas
The graph shows the number of miles Peter's car traveled and the gallons of gas used.
Which equation can be used to find the distance in miles, d, that the car can travel on g
gallons of gas? *
(5 Points)
d = 169
d = 309
d=249
d=129

10MILEAGE OF PETER'S CAR160140Miles Traveled8 8 8 8 8 8 8 8601 2 3 4 5 6 7 8 9 10Gallons Of GasThe Graph

Answers

Answer 1

Answer:

[tex] d = 24g [/tex]

Step-by-step explanation:

The graph shows a proportional relationship between distance travelled in miles and the gallons of gas used. Thus, a simple equation can be written to represent this relationship by simply applying the the equation that describes a proportional relationship.

Equation representing a typical proportional relationship is y = kx, where k is the constant of proportionality.

In this case,

y = distance in miles travelled represented by d

x = gallons of gas used represented by g

k = constant of proportionality which is distance travelled per gallon = [tex] \frac{d}{g} = \frac{120}{5} = 24 [/tex]. (note: to get k, you can use any coordinate pair of a point in the line graph).

Therefore, an equation that can be used to find the distance travelled is:

[tex] d = 24g [/tex]


Related Questions

solve the inequality:

-|x-2| + 9 > 6

Answers

Answer:

−  1  <  x  <  5

Step-by-step explanation:

heres the work that i did!

Yesterday Christopher sold 35 pounds of apples and 34 pounds of bananas for a total revenue of $163.50. Today he sold 15 pounds of apples and 17 pounds of bananas for a goal revenue of $76.75. Determine the price of each pound of apples and the price of each pound of bananas

Answers

Answer:

Step-by-step explanation:

35 a + 34 b = 163.50 (given)

15 a + 17 b = 76.50 (given) multiply this equation by -2

-30 a - 34 b = -153.00 now add this equation to the first equation t get

5 a = 10.50 solve this for a (apple's price) then sub this value into one of the equations to find banana price, b.

Giving brainlist SO PLZ HELP


Select the situation below that models the following equation: -3(8) = -24.

A. A diver who was in the water wanted to see a school of colorful fish below. She dove at a depth of three feet per second. If she started diving at sea level, what is her position after eight seconds?

B. The temperature outside dropped a total of three degrees in eight hours. What was the temperature after those eight hours?

C. At the football game, Tyrice gained eight yards on one play and then lost three yards on the next play. How many total yards did he gain or lose over those two plays?

D. Gunner wants to see a movie that costs $8.00. He sees the movie with three of his friends. How many times did he see the movie?

Answers

Answer:

a

Step-by-step explanation:

-3 feet every second x 8 seconds

3. Simplify i41. (2 points)
0
-1
O
-1.
O
1

Answers

-1 I think but we need a picture!!

Maria made 4 pies for the school carnival. She cut each pie into 8 slices. If she sold 27 slices, how many slices did she have leftover?

Answers

Answer:

She had 5 slices left over

Step-by-step explanation:

8 times 4 is 32 so then subtract 27 and you get 5

The sum of five consecutive even integers is 220. Find the middle value of the five consecutive integers.

Answers

Answer:

             44

Step-by-step explanation:

If we have odd number of consecutive numbers increasing by the same value (2) then the middle value of them is their mean:

220:5 = 44

Of course you can find them to be sure:

Consecutive even integers increase by 2.

So if 2x is the smallest of them (x is an integer), then the numbers are:

2x,  2x+2,  2x+4,  2x+6,  2x+8

So their sum:   10x+20

10x + 20 = 220  ⇒  10x = 200  ⇒  2x = 40

So the numbers are: 40, 42, 44, 46, 48

Answer:

44

Step-by-step explanation:

What is the answer pls help

Answers

Answer:

a 180* clockwise rotation

Step-by-step explanation:

It is being flipped 180*.

180 is the answer so yeah.

Find the lenght of side BC. give your answer to 3 significant figures

Answers

Answer:

BC ≈ 19.4 cm

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos71° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{6.3}{BC}[/tex] ( multiply both sides by BC )

BC × cos71° = 6.3 ( divide both sides by cos71° )

BC = [tex]\frac{6.3}{cos71}[/tex] ≈ 19.4 cm ( to 3 significant figures )

Someone please help me asap. I’m confused and need help. Complete the table using the function n = 9b + 19

Answers

answer: you would just substitute all of the values you see for b into the equation where there's a b

Answer:

55; 64; 73

Step-by-step explanation:

In the table, they provide a b value. Basically, you plug in the value of b they give you into the expression n = 9b + 19

if b = 4:

n = 9(4) + 19

n = 36 + 19

n = 55

if b = 5:

n = 9(5) + 19

n = 45 + 19

n = 64

if b = 6:

n = 9(6) + 19

n = 54 + 19

n = 73

Check your work with the last numbers in the table. They say the value of n = 82 when b = 7 so try it

if b = 7:

n = 9(7) + 19

n = 63 + 19

n = 82

Work is correct

Try not to overthink it ^-^

find the price of a 17,100 tructk with a 5% sales tax round to the nearest cent when necessary ​

Answers

Answer:

85500

Step-by-step explanation:

Solve for x in the following equation:
kx = m + nx

Answers

Answer:

x = [tex]\frac{m}{k-n}[/tex]

Step-by-step explanation:

Given

kx = m + nx ( subtract nx from both sides )

kx - nx = m ← factor out x from each term on the left side

x(k - n) = m ← divide both sides by (k - n)

x = [tex]\frac{m}{k-n}[/tex]

Solving for x in the equation, kx = m + nx, we would make x the subject of the formula to solve for x as: [tex]\mathbf{x = \frac{m}{k - n}}[/tex]

Given:

kx = m + nx

We are require to make x the subject of the formula.

Thus:

[tex]kx = m + nx[/tex]

Subtract nx to both sides of the equation

[tex]kx - nx = m + nx - nx\\\\kx - nx = m[/tex]

Factor out x on the left side

[tex]x(k - n) = m[/tex]

Divide both sides by (k - n)

[tex]\frac{x(k - n)}{k - n} = \frac{m}{k - n} \\\\x = \frac{m}{k - n}[/tex]

Therefore, solving for x in the equation, kx = m + nx, we would make x the subject of the formula to solve for x as: [tex]\mathbf{x = \frac{m}{k - n}}[/tex]

Learn more here:

https://brainly.com/question/21727387

What is a greater slope 3 or 8

Answers

Answer:

8

Step-by-step explanation:

it goes up steeper

Answer:

3

Step-by-step explanation:

Because on a graph it is wider and less vertically stretch

Solve for c: The difference between a number c and 17 is 3.

Answers

Answer:

20

Step-by-step explanation:

Step 1:

c - 17 = 3       Equation

Step 2:

c = 3 + 17      Add 17 on both sides

Answer:

c = 20

Hope This Helps :)

Which point is in the solution set of the given system of inequalities?
BRE
| x+y> 2
(4x+y2-1
5
-3 -2 -1
-2
-3
i ņ m Ti
(20)

Answers

Answer:

(0,3)

Step-by-step explanation:

just a guess C;

The point that satisfies both the inequalities is (0, 3).

Correct option is (C).

What is Inequality?

Inequalities are mathematical formulas in which neither side is equal.

As per the given data:

We are given two inequalities, and we have to find out whether the points that are given in the options are satisfying the solution set of the given inequalities or not.

The inequalities are as follows:

x + y > 2

4x + y ≥ -1

For option (A). (2, 0)

Substituting the points in the given inequalities.

2 > 2 and 8 ≥ -1

Hence, this is incorrect.

For option (B). (0, 2)

Substituting the points in the given inequalities.

2 > 2 and 2 ≥ -1

Hence, this is incorrect.

For option (C). (0, 3)

Substituting the points in the given inequalities.

3 > 2 and 3 ≥ -1

Hence, this is correct.

For option (D). (0, -1)

Substituting the points in the given inequalities.

-1 > 2 and -1 ≥ -1

Hence, this is incorrect.

Hence, The point that satisfies both the inequalities is (0, 3).

Learn more about Inequality here:

brainly.com/question/30231190

#SPJ7

(The given question is incomplete, the complete question is given below)

Which point is in the solution set of the given system of inequalities?

x+y≥2

4x+y≥-1

A-(2, 0)B-(0, 2)C-(0, 3)D-(0, –1)

seven apples cost five dollars. How many apples can I buy for $8?

Answers

Answer:

11 apples

Step-by-step explanation:

7/5=1.4

1.4x8=11.2

11.2 rounded to 11

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!

Evaluate (18)^2-(15)^2.
Please show working

Answers

18^2-15^2
=324-225
99

• Answer:

99

• Step-by-step explanation:

Hi there !

use formula a² - b² = (a-b)(a+b)

18² - 15² =

= (18 - 15)(18 + 15)

= 3×33

= 99

Good luck !

A number line graph is shown:
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
Based on the graph, which inequality is correct for a number that is to the right of -4?
0-2 <-4
O-3>-4
0 1 <-4
-5 >-4

Answers

Answer:

1<-4

Step-by-step explanation:

Answer:

-3 > -4 i believe i hope this helps!!

Step-by-step explanation:

Which expression is equivalent to 73⋅ 7−5?

Answers

Answer:

1 over 7 to the 2nd power

Step-by-step explanation:

Answer:

By the order of operations, this expression evaluates to:

73 * 7 - 5 = 511 - 5 = 506

Step-by-step explanation:

You need an expression that is equivalent to this result once the expression is evaluated.

if his conclusion is correct, which substance could he have been observing and why?​

Answers

Answer:

The answer is B, baking soda and vinegar.

The correct answer is B baking soda mixed into vinegar hope it helps :)

What is the domain of this exponential function?

Show work please I have no clue how to do this.

Answers

The last option
All real numbers

Can someone please help me with my Imagine Math? My teacher assigned are class to do this even though we haven't learned about this yet.... I don't understand this at All!

QUESTION:
Drag each graph to show whether it is a function of x or not a function of x. If there is not enough information to tell, drag the graph into the box under “Not Enough Information.”

When you tell me the answers type it in this format:
this graph goes in "function" OR this graph goes in "Not a function" OR this graph goes in "Not enough information"

Answers

Answer:

first graph is not a function, second graph is a function, 3rd is not enough information, 4th is a function, 5th is not a function, 6th is a function

Step-by-step explanation:

Answer:

I got all of them right on Imagine Math!

Step-by-step explanation:

Hope this helps!

Mario volunteered 1,386 minutes each month for 36 months. How many minutes did Mario volunteer in total???

Answers

Answer: 49,896
1,386 * 36

Answer:

49,860

Step-by-step explanation:

Mario volunteered 49,860 in total.

What is m∠PQR?

The PS is line segment. Q is the point between segments PS. QR is another line segment passes through segment PS. The angle PQR is (3x + 5) degree and angle SQR is (x + 3) degree.

Answers

Answer: m∠PQR = 134°

Step-by-step explanation:

Given:  PS is line segment. Q is the point between segment PS. QR is another line segment passes through segment PS.

That means ∠PQR and ∠SQR are linear pair  [Linear pair is a pair of two angles made on one line and their sum is 180°]

⇒  ∠PQR +  ∠SQR  = 180°  (i)

Since, ∠PQR is (3x + 5)° and ∠ SQR is (x + 3)°   [given]

Put this in (i), we get

(3x + 5)° + (x + 3)° = 180°

⇒ 3x + 5 + x + 3 = 180

⇒ 4 x + 8 = 180

⇒ 4 x = 180-8

⇒ 4 x = 172

Divide both sides by 4

⇒  x= 43

So,  ∠PQR=  (3(43) + 5)° = 134°

Hence, m∠PQR = 134°

The measure of m ∠PQR is 134 degrees.

Given

PS is a line segment.

Q is the point between segment PS.

QR is another line segment that passes through segment PS.

Which property of the triangle is used to solve the value of x?

The sum of two angles made on one line is equal to 180 degrees.

[tex]\angle \rm PQR + \angle SQR = 180[/tex]

Where the angle QPR is (3x + 5) degree and angle SQR is (x + 3) degree.

Substitute all the values in the equation

[tex]\angle \rm PQR + \angle SQR = 180\\\\(3x+5) + (x+3) =180\\\\3x+5+x+3=180\\\\4x+8=180\\\\4x=180-8\\\\4x=172\\\\x = \dfrac{172}{4}\\\\x =43[/tex]

The value of x is 43 degrees.

Therefore,

The measure of m ∠PQR is;

[tex]\rm m \angle PQR = 3x+5 = 3(43) + 5= 129+5=134[/tex]

Hence, the measure of m ∠PQR is 134 degrees.

To know more about the Properties of triangles click the link given below.

https://brainly.com/question/9404288

how can you find odd numbers that u can put as a fraction

Answers

Answer:

Fractions are not even numbers or odd numbers, because they are not whole numbers. They are only parts of numbers, and can be written in different ways.

Step-by-step explanation:

Sequence: 2, 6, 10,_,_ _.
What are the next two numbers in the sequence?
A 14, 18
B
16, 24
C 14, 20
12, 16

Answers

The next two numbers in the sequence are 14 and 18

Answer:

A. it goes up by 4 each time so 4 to 10 would be 14 and 4 up from that would be 18

A submarine descends at a rate of 2.6 kilometers per hour.
If the ocean floor is 6.24 kilometers below sea level, how long will it take the submarine to descend to the ocean floor?
Round your answer to the nearest tenth. Enter your answer in the box.

Answers

Answer:

6.24/2.6 = 0.24

0.2 is the answer

Step-by-step explanation:

Answer:8.84 if you add -3.63 when sub 14.976 when multiplyed and 0.2 when devided

Step-by-step explanation:

i just use a simple mdethod and it was to do all the pfroblems then do what ever to them to get my answer

Jack's family left home at 9:00 AM and drove to the amusement park at 60 mph. They spent 7 hours at the park and then drove back home. On the way home, traffic was bad and they drove 20 mph slower than in the morning. They got home at 8:00 PM. How far is the amusement park from Jack's home?

Answers

Answer:

96 miles

Step-by-step explanation:

The distance from the amusement to jack's home is x (mile, x>0)

jack's family went to the amusement park at: 9 + x/60

On the way home, traffic was bad and they drove 20 mph slower than in the morning⇒ they drove: 60 - 20 = 40 mph

they left the amusement park at: 20 - x/40

have the following equation:

(20 - x/40) - (9+ x/60) = 7

⇔ 4 = x/40 + x/60

⇔ x = 96

so the distance from the amusement park to jack's home is 96 miles

You decide to go to the candy store in the mall. You arrive at the store with $25 and then purchase 3 candy bars. You then buy a giant candy snake for $12.50. When you leave, you have $8.75 left in your wallet. How much did each candy bar cost? Write the equation to represent the scenario. 8.75 - x - 12.50 = 25.00 25.00 - 3x - 12.50 = 8.75 25.00 - 3x - 8.75 = 12.50 25.00x - 12.50 = 8.75

Answers

Answer:

The cost of a candy is $1.25

Step-by-step explanation:

given the total amount at hand is $25

let the price of  candy be x

then the cost of 3 candy will  be 3x

the cost of a candy snake is $12.50.

balance at hand after the end of buying $8.75

the total expenses summed up must equal the initial amount at hand which is $25

the expression for the scenario is 3x+12.5+8.75=25

3x+21.25=25

3x=25-21.25

3x=3.75

x=3.75/3

x=$1.25

The cost of a candy is $1.25

Put a pic of your self while you answer I need it to make edits you can see it tomorrow on my Instagram ill comment on it, thx for the help guys
Pls make it to you because people can tell.

Answers

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