The table shows the gallons of fuel remaining after a car

travels a certain distance in miles

Distance

(miles)

Fuel Remaining

(gallons)

The change in fuel remaining from one row to the next

in the table is gallon(s)

The change in distance from one row to the next in the

table is

mile(s)

The slope of the line that runs through the points given

in the table is

The slope indicates a

13. 50

13. 46

13. 42

3

13. 38

13. 34

5

13. 30

Answers

Answer 1

The slope shows a change in the amount of fuel left in each mile. Since the slope is -0.04, the amount of fuel left drops by 0.04 gallons each mile

what is slope ?

The slope of a line governs its steepness. Using mathematics, the gradient is expressed as "gradient overflow" (the change in y divided by the change in x). The slope is the ratio of the vertical (rise) to the horizontal (run) change in distance between any two sites. Every time the equation for a straight line is written as y = mx + b, the slope-intercept representation of the equation is utilized. At the location of the y-intercept, the line has a slope of m, b, and c. (0, b). As an example, the y-intercept of the equation y = 3x - 7 has a value of 3. (0, 7).

given

It is evident that with each additional row, the distance is increased by one mile and the fuel level is altered.

From one row to the next in the table, the amount of fuel left changes by -0.04 gallons.

The distance in the table that changes from one row to the next is 1 mile.

The slope is the pace at which the amount of fuel left changes in relation to the change in distance.

The line that passes through the places listed in the table has a slope of -0.04 degrees.

The slope shows a change in the amount of fuel left in each mile. Since the slope is -0.04, the amount of fuel left drops by 0.04 gallons each mile.

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Related Questions

find asymptotes for y=x^3 + 3^x​

Answers

Answer:

No asymptotes

Step-by-step explanation:

The equation provided does not have any asymptotes. Neither for the y-axis or x-axis. It instead goes towards infinity endlessly. Meanining that there is no value that is equal to zero in this equation. The graph below shows the equation graphed, but could not be zoomed out because the equation is endless.

Which expression shows the product of 1.5 x 106 and 12,000?
A. 1.8 x 1018
B. 1.8 x 1010
C 1.8 x 10°
D 1.8 x 1024

Answers

Answer:

d

Step-by-step explanation:

PLEASE HELP ME GUYS! WILL GIVE 5 stars, brainliest, and everything!!!!

Answers

Answer:

I think it's 388.335

Step-by-step explanation:

I did

(12.75 x 3.75) x2

(3.75 x 8.87) x2

(8.87 x 12.75) x2

and added them all up

Which expression is equivalent to 4 - 10 (9m – 7:)

0-3 - 90m

O 42 – 54m

O 74 - 90m

O-7 - 54m

Answers

The correct choice will be 74 - 90m

volume of the cone below?
O A. 5082pi ^3
O B. 10,164pi ^3
O C. 3388pi ^3
O D. 924pi ^3

Answers

I think that the answer is going to be A because it can’t be 10,164 and it can’t be 3388 so it has to be A

please help me
please help me

Answers

Step by step explaintion



1. Bailey made 5 - cups of applesauce. He
gave 2 of it to his baby sister. How many
cups of applesauce did he give his baby
sister?

Answers

Answer:

2 cups

Step-by-step explanation:

- 6 <1/3(6y + 12) < 14

Answers

Answer:

1 - 5 < y < 5

I hope you pass your assignment

The range of solutions for the given inequality is -5<y<5.

What are inequalities?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The given inequality is -6<1/3(6y + 12)<14.

Here, -6<(2y + 4)<14

-6<(2y + 4)

Subtract 4 on both the sides of an inequality, we get

-10<2y

Divide 2 on both the sides of an inequality, we get

-5<y

(2y + 4)<14

Subtract 4 on both the sides of an inequality, we get

2y<10

Divide 2 on both the sides of an inequality, we get

y<5

So, -5<y<5

Therefore, the range of solutions for the given inequality is -5<y<5.

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Please hurry!
Which best describes the relationship between the two triangles below?
Triangle M N L. Angle M is 51 degrees and angle L is 36 degrees. Triangle F H G. Angle F is 51 degrees and angle G is 36 degrees.
Triangle M L N is similar to Triangle F G H because of the third angle theorem, Angle M is congruent to angle F, Angle L is congruent to angle G, and Angle N is congruent to angle H.
Triangle M L N may or may not be similar to Triangle F G H because the third angle is unknown.
Triangle M L N is similar to Triangle F G H because of the angle-angle criterion, Angle M is similar to angle F, Angle L is similar to angle G, and Angle N is similar to angle H.
Triangle M L N may or may not be similar to Triangle F G H because the side lengths are unknown.

Answers

Answer:

Triangle M L N is similar to Triangle F G H because of the third angle theorem, Angle M is congruent to angle F, Angle L is congruent to angle G, and Angle N is congruent to angle H.

Step-by-step explanation:

Triangles are similar if all of the angles are congruent and corresponding to the other triangle and the sides are proportionate. It is important to note that if the angles are congruent then the sides must be proportionate; so, the side lengths are not necessary. Additionally, the third angle theorem states that if two known angles are congruent then the third angles must also be congruent. So, the two triangles must be similar because all of the angles are congruent to their corresponding angles.

How to find coordinates of the center of dilation?

Answers

We label points A=(x1,y1)=(1,1) A = (x1, y1) = (1,1) and A′=(x2,y2)=(3,3) A ′ = (x 2, y 2) = (3,3) to identify the centre of dilation. The centre of dilation's coordinates are then determined using the formula. (xo,yo) ( xo,yo) ( xo,yo )

What is the location of a dilation's centre?

When the scale factor exceeds 1, the dilation becomes an enlargement. If it falls within the range of 0 and 1, the dilation is a contraction. The point from which the image is dilated is known as the centre of dilation (or point of dilation).

The centre point formula is what?

The equation for the circle must be converted into standard form, (x h), in order to be able to determine the centre and radius.[tex](x-h)^2+(y-k)^2=r^2[/tex], where r is the radius and h and k are the coordinates for the centre.

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What would the approximate amperage setting be if a welder were set to the high range (150 to 350 amps) and the fine adjustment knob were painting at 5 on a 10 point scale

Answers

On solving the provided question, we can say that the approximate amperage setting be if a welder were set to the high range would be 350 amps.

What is range?

The variable's range is obtained by finding its largest observed value (maximum) and subtracting its smallest observed value (minimum). Variational bounds or possible range: various steel prices; various styles; The extent or magnitude of a procedure or action: insight. the maximum or expected range of a weapon's projectile. The range of a list or set is the number between the minimum and maximum. Prior to identifying the region, align all the numbers. Remove (remove) the lowest number from the highest number next. The list's range is provided in the solution.The solution provides the list's range.

here,

the approximate amperage setting be if a welder were set to the high range would be 350 amps

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A cleaning company charges a fixed amount for a house call and a second amount for each room it cleans the total cost to clean six rooms is $250 and the total cost to clean eight rooms is $320 how much would this company charge to clean two rooms

Answers

The cleaning company would charge $150 for cleaning two rooms according to the fixed charges.

What is fixed amount?

A fixed amount is a fixed amount or amount established by agreement or contract. This amount is usually a specified amount, does not change over time, and is usually paid on demand or by a certain date. Fixed amounts are commonly used in loans, insurance, and other financial contracts.

This cost is calculated by dividing the difference between the total cost of 6 and 8 rooms by the number of rooms cleaned (6 - 2 or 4).

= ($250 - $320)/4

= $40

This will give you a price of for each additional room.

To calculate the cost of two rooms, simply add the fixed amount of the home visit and double the cost ($40) for each additional room. That's a total of $150 for two rooms.

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Find the measure of ∠a. PLEASE HELP

Answers

Answer:

86.4

Step-by-step explanation:

6x +12 + 4x + 44 = 180

10x +56 = 180

10x = 180 - 56

x = 12.4

180 - 4*12.4 + 44 =86.4

How does the value of a number change when you divide by 10 100 1000?

Answers

Answer: It gets smaller

Step-by-step explanation: When you divide something by anything, the place value of the digits decreases. The digits move to the right since the number gets smaller, but remember, the decimal point does not move.

lines a and b are parallel. which angles is congruent to angle? 4

Answers

Answer:

ANGLE 5 IS CONGURENT TO ANGLE 4

PLEASE MARK BRAINLIEST

During January 2012, 50 000 new vehicles were sold in Ontario. About 20% of these were leased. How many vehicles were leased?

Answers

Answer:

10,000 vehicles.

Step-by-step explanation:

20 percent of 50,000 is 10,000.

If sin ⁡ A = 28 53 sinA= 53 28 ​ and cos ⁡ B = 3 5 cosB= 5 3 ​ and angles A and B are in Quadrant I, find the value of tan ⁡ ( A + B ) tan(A+B).

Answers

Answer:

[tex]Tan(A+B)=\frac{264}{23}[/tex]

Step-by-step explanation:

From the question we are told that:

 [tex]SinA=\frac{28}{53}[/tex]

 [tex]CosB=\frac{3}{5}[/tex]

Let X be the adjective side to A

Let Y be the opposite side to B

Generally the equation for X is mathematically given by

 [tex]X^2=\sqrt{53^2-28^2}[/tex]

 [tex]X=45[/tex]

Therefore [tex]TanA[/tex]

[tex]TanA=\frac{28}{45}[/tex]

Generally the equation for Y is mathematically given by

 [tex]Y^2=\sqrt{5^2-3^2}[/tex]

 [tex]Y=4[/tex]

Therefore [tex]TanB[/tex]

[tex]TanB=\frac{4}{3}[/tex]

Generally the equation for [tex]Tan(A+B)[/tex] is mathematically given by

[tex]Tan(A+B)=\frac{TanA+TanB}{1-TanA*TanB}[/tex]

[tex]Tan(A+B)=\frac{\frac{28}{45}+(\frac{4}{3})}{1-(\frac{28}{45})*(\frac{4}{3})}[/tex]

[tex]Tan(A+B)=\frac{264}{23}[/tex]

define why 2+2 is not 5​

Answers

Answer:

Step-by-step explanation:

because 2 + 2 is 4

A 7th-grade class has 14 girls and 10 boys. An 8th-grade class has 11 girls and 13 boys. What is the probability of picking a student from each class and having them both be girls? (Write answer as simplified fraction)

Answers

Answer:

14>10   11<13

Step-by-step explanation:

Answer the following as the website for my hwk says I am incorrect:

a) 6/24 as its simplest form (I put 1/4)
b) 52.491 to 2 decimal places (I put 52.49)
c)how many 0.125m drinking straws are needed for a bridge which is 0.85m long (I put both 6.8 and 7)
d) 756.985 × 45 - 14.325 ( I put 34,050)

Answers

a) 1/4
b) 52.49
c) 7
d) 34,050

Find the value of x.

Answers

Answer:

60°

Step-by-step explanation:

as they are a linear pair

120°+x=180

x=180-120

x=60°

Please help me on this

Answers

Answer:

12. C

13. B

14. B

Step-by-step explanation:

12 - length of ramp = hypotenuse

given the angle 20, we have hypotenuse and opposite, so we use sin

sin 20* = 10/r

13- tan 46 = x/11, x = 11(tan46) = 11.4

14- cos 46 = 12/x = 17.3

Brendan is an hourly worker. During a week's pay period, he worked the following hours and minutes: Day Hours Minutes Monday 8 45 Tuesday 7 52 Wednesday 8 0 Thursday 9 36 Friday 8 24 Using the quarter-hour method, how many total hours did Brendan work that week

Answers

The total hours did Brendan work that week is 669.86.

How to calculate how many hours Brendan work that week?

A finite collection of symbols that are properly created in line with context-dependent criteria is referred to as an expression, sometimes known as a mathematical expression. Operations include addition, subtraction, multiplication, and division.

The collection of mathematical symbols that emerges from the right arrangement of numbers is known as a mathematical expression and variables using operations like addition, subtraction, multiplication, division, exponentiation, and other as-yet-unlearned operations and functions.

The three different types of algebraic expressions are monomial, binomial, and polynomial.

The total hours did Brendan work that week is 669.86.

The complete question is: Brendan is an hourly worker and earns $15.25/hour. During a week's pay period, he worked the following hours and minutes:

Day Hours Minutes

Monday 8 45

Tuesday 7 52

Wednesday 8 0

Thursday 9 36

Friday 8 24

Using the hundredth-hour method, what is Brendan's gross pay for the week? The employer pays overtime for all time worked in excess of 40 hours per week.

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This year, there was 40% more snow than last year. The amount of snow this year is 140% of the amount of snow last year.




1. This year, there were 25% fewer sunny days than last year. The number of sunny days this year is (BLANK)% of the number of sunny days last year.


2. Compared to last month, there was a 50% increase in the number of houses sold this month. The number of houses sold this month is (BLANK)% of the number of houses sold last month.


3. The runner’s time to complete the marathon was 10% less than the time to complete the last marathon. The runner's time to complete the marathon was (BLANK)% of the time to complete the last marathon.

PLEASE FILL IN THE BLANKS. This is in fact the full question

Answers

Answer:

75%150%90%

Step-by-step explanation:

You want the percentage multiplier associated with the following changes:

25% decrease50% increase10% decrease

Multiplier

To find the multiplier, add 1 to the change. When you want the multiplier in percent, then add 100% to the change expressed as a percent. (1 = 100%)

1. 25% fewer

  100% -25% = 75% . . . . of last year

2. 50% increase

  100% +50% = 150% . . . . of sales last month

3. 10% less

  100% -10% = 90% . . . . of last marathon's time

Does 9 12 15 make a right triangle?

Answers

The side lengths measuring 9 units , 12 units and 15 units make a Right Triangle because the sides satisfy the condition of the Pythagoras Theorem .

According to the  Pythagoras Theorem , which states that square of the lonest side (hypotnuse) is equal to the sum of the square of the other two sides ( perpendicular and Base) ,

The side lengths of right triangle are = 9 units , 12 units and 15 units ,

According to the condition of Pythagoras theorem , [tex]15^{2} = 12^{2} + 9^{2}[/tex]

On simplifying ;

we get ;

[tex]225 = 144 + 81[/tex] ;

[tex]225 = 225 ;[/tex]

the condition is satisfied ,

that means the sides form a right triangle .

Therefore , the side 9 units , 12 units and 15 units  make a right triangle .

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What is the value of 5 + 5.3^4?
810
410
O65
120

Answers

Therefore , the solution of the given problem of expression comes out to be 794.0481.

Describe expression.

combinations of numbers, symbols, and operations (such + and) that show how much something is worth. Examples: • 2 + 3 is the formula.

• 3 x/2 variable  is another formula.There is no equals sign in the expression. A mathematical expression is a sentence made up of variables, numbers, or both. There is never an equal symbol in an expression. These expressions are examples. An equation is a mathematical statement proving the equality of two expressions.

Here,

Given : 5 + [tex](5.3)^{4}[/tex]

=> 5 + (5.3)*(5.3)*(5.3)*(5.3)

=> 789.0481 + 5

=> 794.0481

Therefore , the solution of the given problem of expression comes out to be 794.0481.

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What line is parallel to 2x 3y 6 at 2 3 )?

Answers

The line parallel to the given line 2x+3y=6 is 2x+3y=13.

The general equation of a line is y=mx+c where m is the slope of the line and c is the y-intercept.

The slope of the given line 2x+3y=6 is

3y=(-2x)+6

y=(-2/3)x+2

y=mx+c where m is the slope of the line

so the slope of the given line is (-2/3)

as the slope of two parallel lines is equal so the slope of the line parallel to the given line is also (-2/3)

(y-y1)=m(x-x1) where x1 is the x-coordinate and y1 is the y-coordinate.

Here x1=2 and y1=3

(y-3)=m(x-2)

y-3=(-2/3)x+4/3

3y-9=(-2x)+4

3y+2x=13

2x+3y=13

The line 2x+3y=13 is parallel to the given line 2x+3y=6.

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y=x^2-8x+13 in vertex form​

Answers

Answer:

vertex is (4,-3)

Step-by-step explanation:

5.BC is the diameter of the semicircle.The area of rectangle ABCD is 20 and the length of line AB is 5.What is
the area of the semicircle?

Answers

The area of the semicircle is, 6.28 unit².

What is Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

We have to given that;

BC is the diameter of the semicircle.

And, The area of rectangle ABCD is 20 and the length of line AB is 5.

Now, We have;

The area of rectangle ABCD is 20 and the length of line AB is 5.

Let the width of rectangle = x

So, We can formulate;

⇒ 20 = x × 5

⇒ x = 4

Here, the width of rectangle is the diameter of the semicircle.

So, The radius of semicircle = 4 / 2

                                            = 2 units

We know that;

Area of semicircle = π r

Where, 'r' is radius of semicircle.

Hence, We get;

⇒ Area of semicircle = π r

⇒ Area of semicircle = 3.14 × 2

                                 = 6.28 unit²

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Can you help me with this I really need it it is for a test

Answers

Answer:

90

Step-by-step explanation:

each dot = 45 bc 540 / how many dots there are which is 12 = 45 then there are 2 dots worth of 45 making it 90

math

540/12=45

45 x 2 = 90

Answer: 135 students

Step-by-step explanation:

1. Divide 540 (total number of students) by the number of dots (12)

2. So then 540/12= 45

3. Then see how many dots are more then 5 miles away so that is 3 dots (2dots on 6 miles, and 1 dot on 7 miles)

4. After 45*3= 135

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