The table below shows the relationship between the number of gallons of fremaining in a truck and the number of hours the truck has been driven.
Driving a Truck
Time Driven (h) 0 2.5 5 7.5 10
Fuel (gal)
175
125 100
200
150
Which of the following best represents the rate of change for the number of gallons of fuel remaining with respect to the number of hours the truck has been driven?
-200 gal/h
-10 gal/h
0-1 gal/h
O-to galh

The Table Below Shows The Relationship Between The Number Of Gallons Of Fremaining In A Truck And The

Answers

Answer 1

Answer:

-10 gal/h

Step-by-step explanation:

Answer 2

   Rate of change for the number of gallons of fuel remaining and the number of hours the truck has driven is (-10) gallons per hour.

 Option (2) will be be the answer.

  Average rate of change of a function is given by the expression,

Average rate of change = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

From the table given,

Two points are (0, 200) and (2.5, 175),

Average rate of change = [tex]\frac{175-200}{2.5-0}[/tex]

                                        = [tex]-\frac{25}{2.5}[/tex]

                                        = -10 gallons per hour

  Therefore, average rate of change for the given table will be Option 2. (-10) gallons per hour.                  

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Related Questions

1: The temperature is -2

​∘C

. If the temperature rises by 15

​∘C

, what is the new temperature? (Draw a number line to help)- The temperature is -2 c. If the temperature rises by 15 c, what is the new temperature? Answer {You would do 15c takeaway -2c This would equal to the new temperature as being 13c.}






2: At midnight the temperature is - 6

​∘C

. At midday the temperature is 9

​∘C

. By how much did the temperature rise? (Draw a number line to help)- 15° Celcius {You can add from -6 +1 till you get to 0 then add the rest of the numbers and it will exactly be 15.}






3:Draw a number line to help you with what the final temperature is.

Then write an addition expression that represents the final temperature.

(Hint: Start temp + movement amount = final temperature )


The temperature was and then fell .


__________ + _________ = __________




The temperature was and then rose .


__________ + __________ = __________




The temperature was and then fell .


__________ + __________ = __________



THIS HELP WITH THE LAST QUESTION THIS WILL MEAN ALOT :( FILL IN THE BLANKS!!!

Answers

Answer:

For 1. it's 13 degrees 2. For B it is 15 degrees.

Step-by-step explanation:

thats all i could really answer you should try separating this a little more

Malik has two pencils. He has four blue pencils and 2 red pencils. What is the radio of red pencils and blue pencils?

Answers

Answer: 2:4 or 1:2

You could also write it in a fraction 1/2

Answer:

2:4

Step-by-step explanation:

We know that Malik has 4 blue pencils and 2 red pencils. Therefore, the ratio of red pencils to blue pencils is 2:4.

# of red pencils : # of blue pencils

2 red pencils : 4 blue pencils

2:4

I hope this helps!

I need help with this work plz

Answers

Answer:

wheres the work???⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

where's the screenshot?

Drag and drop the words below to correctly complete the statement of the SAS Similarity Theorem.

Answers

Congruent
An angle
Sides
Proportional
Similar

(10 points, Giving brainliest to correct answer) Need in a couple hours

Congruence

Answers

Answer:

SSA (or AS*)

Step-by-step explanation:

SSA cannot booe used

just remember that

PLEASE HELP ME ANSWER THIS I WILL GIVE FREE THANKS

Answers

Answer:

C: Two solutions

Step-by-step explanation:

If you try to solve the problame you can find to solution's

Hope this Help's

Answer:

lol too bad laurenercsp6fpli

Step-by-step explanation:

A car traveled 63 miles on 3 gallons of gas. What proportion can you set up to determine how many miles, m, the car can travel on 7 gallons of gas? 63 7 7 63 ECO II 63 = 3​

Answers

Answer: With 7 gallons of gas, the car can travel 147 miles.

The proportion is:

N*(63 miles/3) = total distance the car can travel with N gallons of gas.

Step-by-step explanation:

We know that with 3 gallons of gas, the car can travel 63 miles.

Then for N gallons of gas, we first need to count the number of times that 3 is in N.

This is equal to the quotient between N and 3:

N/3

This is the number of times that we have 3 gallons of gas, in a total of N gallons of gas.

And for each one of these, the car can travel 63 miles.

Then the total distance that the car can travel with N gallons of gas is:

(N/3)*63 miles. = N*(63 miles/3) = total distance the car can travel.

In this case, we want to know how many miles the car can travel with 7 gallons of gas, then if we use that equation we get:

(7/3)*63 miles = 147 miles.

The shaded areas show the fraction of each of four shelves in a toy store that are stocked with toys and games.

Which mixed number represents the amount of shelf space that is filled?

I need an answer ASAP and pls explain I gotta pass this test

Answers

Answer:

2 4/12

Step-by-step explanation:

Answer:

Step-by-step explanation:

Need help I’m not sure what it is.. it’s 8th grade math

Answers

Answer:

c is the answer to this

Step-by-step explanation:

Harry makes fruit punch with 3 cups of cranberry juice, 2 cups of mandarin orange juice, and 3 cups of watermelon juice. Approximately what percentage of the punch is cranberry juice?

Answers

Answer:

37.5%

Step-by-step explanation:

PLEASE HELP!!!!! I'LL MARK BRAINLIEST Which table represents a linear function with a greater y - intercept than that of the function represented in the graph?

A. X Y
0 3
6 -39

B. X Y
-2 0
0 0

C. X Y
0 5
5 -45

D. X Y
-2 1
0 4

E. X Y
0 -7
4 11


Answers

Answer:

The answer is c

Step-by-step explanation:

Answer:the answer is c mark me brainiest remember  

Step-by-step explanation:

Round 8,723 to the nearest thousand

Answers

Answer:

9,000

Step-by-step explanation:

Active
2
3
The average person's speed when riding a bike along a street is 18 kilometers per hour. What conversion factor can be
used to convert this speed to meters per hour?
1 kilometer
1,000 meters
1 meter
1,000 kilometers
1,000 meters
1 kilometer
1,000 kilometers
1 meter
Save and Exit
Sue

Answers

Answer:
its c
Step-by-step explanation:
hope this helps !

Alex drove 372 miles on I-95 and used 12 gallons of gasoline. How many miles did Alex’s car travel per gallon of gasoline?

Answers

Answer:

372/12=31

31mpg

Step-by-step explanation:

Alex's car drove 31 milesnper gallon of gasoline

heres more lolllllllllllll

Answers

Answer:

Awwww ty <3

You are too nice lollllllllllllll

Step-by-step explanation:

2/3 x 2/8 in the simplest form

Answers

Answer:

[tex] \frac{1}{6} [/tex]

Step-by-step explanation:

[tex] \frac{2}{3} \times \frac{2}{8} = \frac{2 \times 2}{3 \times 8} = \frac{4}{24} [/tex]

Lets divide the numerator and denominator with 4.

[tex] = > \frac{4 \div 4}{24 \div 4} = \frac{1}{6} [/tex]

Tina is going for a bike ride. When she leaves her house, she starts pedaling and her speed steadily increases. As she approaches the stop sign at the end of her street, she slows down at a steady pace until she comes to a complete stop. After waiting at the stop sign for her turn to go, she starts pedaling again and her speed steadily increases at a slower pace than when she first left her house. She reaches a comfortable speed and rides at this speed until she approaches another stop sign, causing her to steadily slow down until she again comes to a complete stop.

Answers

Answer:

1

Step-by-step explanation:

1212112

Which of the following shows two congruent triangles

Answers

Answer:

all of them

Step-by-step explanation:

all of them seem to have the same marks

but if u get the question wrong my next bet would be to go with only C because it has the marks on the sides if that makes sense

please help me asap ​

Answers

Answer:

The answer to the question provided is 53°.

Someone please help and choose correct answer

Answers

Answer:

The equation of line that passes through point (2,-1) and has a slope of -3 is [tex]\mathbf{y=-3x+5}[/tex]

Option A is correct.

Step-by-step explanation:

We need to write equation of line that passes through point (2,-1) and has a slope of -3

The equation is written in slope-intercept form: [tex]y=mx+b[/tex] where m is slope and b is y-intercept.

We are given slope: m = -3

We need to find y-intercept (b)

Using the point (2,-1) and slope m=-3, we can find y-intercept

[tex]y=mx+b\\-1=-3(2)+b\\-1=-6+b\\b=-1+6\\b=5[/tex]

So, we get y-intercept b = 5

Now, the required equation having slope m =-3 and y-intercept b = 5 will be:

[tex]y=mx+b\\y=-3x+5[/tex]

So, the equation of line that passes through point (2,-1) and has a slope of -3 is [tex]\mathbf{y=-3x+5}[/tex]

Option A is correct.

how do i write an equation in point-slope form for a horizontal line that passes through(4, –2)??

Answers

Answer:

[tex]y = -2[/tex]

Step-by-step explanation:

Given

Horizontal Line

[tex](x_1,y_1) = (4,-2)[/tex]

Required

Determine the equation

The equation is calculated using:

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

Where

[tex]m = slope[/tex]

Because the line is a horizontal line, then:

[tex]m = 0[/tex]

Substitute 0 for m and values for x1 and y1 in [tex]y - y_1 =m(x-x_1)[/tex]

[tex]y - (-2) = 0(x -4)[/tex]

[tex]y +2 = 0(x -4)[/tex]

[tex]y +2 = 0[/tex]

Subtract 2 from both sides

[tex]y +2-2 = 0-2[/tex]

[tex]y = -2[/tex]

Hence, the equation is: [tex]y = -2[/tex]

please show work to thank you​

Answers

Answer:

Step-by-step explanation:

1) AC⊥BD and BD bisects AC                         1) given

2) AD≅DC                                                        2) linear bisector thm.

3) ∠ADB and ∠CDB are right angles              3) perpendicular bisector thm.

4) ∠ADB ≅ ∠CDB                                             4) all right ∡'s are congruent

5) BD ≅ BD                                                       5) reflexive POV

6) ΔABD ≅ ΔCBD                                             6) SAS

Hope this helps!

btw, I was not able to put the lines on top of some of the letters, so my apologies.

Solve the equation
3(-2-3x)=-9x-4

Answers

Answer: There are no values of x that make the equation true. No solution.

3. A number increased by 5 and divided by 2 is equal to 75. What is the number?

Answers

Answer:

633

Step-by-step explanation:

are the two triangles congruent ?

A. yes
B. no
c . there not enough information to say ​

Answers

Answer:

no

Step-by-step explanation:

Please help me with this question

Answers

Answer:

1. 3 x 2 = 6 / 4 x 3 = 12 = 6/12 [simplify] = 1/2 thats the first answer, just do how i did it to get the others, its pretty simple

The last one is 4/9.

Find the Value of “Y”.

Answers

Answer:

26

Step-by-step explanation:

7x - 28 = 5x + 12 and 5x + 12 + y = 180

The angle (7y - 28) and angle y are supplementary angles which means their sum is 180°

7y - 28 + y = 180 add like terms

8y - 28 = 180 add 28 to both sides

8y = 208 divide both sides by 8

y = 26

5.5.19
Factor out the greatest common factor from the following polynomial.
6x(z + 14)+(z + 14)
Select the correct choice below and, if necessary, fill in the answer box to complete your cho
6x(z + 14)+(z+14) = _______ Type your answer in factored form.)
The polynomial has no common factor other than 1.

Answers

Answer:

The greatest common factor of 6x(z + 14)+(z + 14) is 1

and if you want it in factored form it is (z + 14)(6x + 1)

Consider a set of data in which the sample mean is 73.4 and the sample standard deviation is 4.9. Calculate the z-score given that x

Answers

This question is incomplete, the complete question is;

Consider a set of data in which the sample mean is 73.4 and the sample standard deviation is 4.9. Calculate the z-score given that x  = 69.5.

Round your answer to two decimal places.

Answer: the z-score is -0.80

Step-by-step explanation:

Given that;

mean μ = 73.4

standard deviation σ = 4.9

x = 69.5

z-score = ?

z = (x - μ) / σ

we substitute

z =  (69.5 - 73.4) / 4.9

z = -3.9 / 4.9

z = - 0.7959 ≈ -0.80    { 2 decimal places }

Therefore, the z-score is -0.80

Given:
g(x) = 5 – 6x
Find:
g(5)

Answers

let's start by substituting 5 for x
g(5) = 5 - 6(5)
g(5) = 5 - 30
g(5) = -25
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