A plane gets an average of 25 miles per gallon when it is traveling 500 miles per hour. The plane has 15,000 gallons of gas at the beginning of a trip and travels at an average speed of 500 miles per hour. Which of the following functions f models the number of gallons of gas remaining in the tank t hours after the trip begins?

(A) f = 15000 + (25t/500)

(B) f = 15000 - (25t/500)

(C) f = 15000 - (500t/25)

(D) f = 15000 - 25t

(E) f = 25t

Answer:

AB = DC So ∠A and ∠D are bigger then 90%

Answer:

E2020

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

x = 16

Step-by-step explanation:

Since the numbers are in ascending order, x is the number with the highest value here.

From the arrangement, we can see that the median (the middle number) is the third number which is 9

The mean is the sum of the numbers divided by their count. So we set up the mean and equate to the median

We have this as;

(1 + 9 + 9 + 10 + x)/5 = 9

29 + x = 5(9)

29 + x = 45

x = 45-29

x = 16

Answer:

the above answer help you.

Answer:

1/4 of a yard of material

Step-by-step explanation:

First, we must convert both 12 1/4 yards and 8 1/2 yards to quarters. Since 1/2 of a yard is equal to 2/4 of a yard, 8 1/2 yards will be equal to 8 2/4 yards. 8 yards + 12 yards = 20 yards, and 2/4 of a yard + 1/4 of a yard = 3/4 of a yard, so you get 20 3/4 of a yard to finish the draperies. To find the leftover material, do 21 yards - 20 3/4 yards = 1/4 of a yard of material. Hope this helps!

Answer: h = 14

Step-by-step explanation:

7h-5(3h-8)-56 = -128

7h -15h+40-56 = -128

or, -8h-16= -128

or, -8h = -128 + 16

or, -8h = -112

or, 8h = 112

or, h = 112/8

so, h = 14

Answer:

h = 14

Step-by-step explanation:

We are going to use basic algebra to solve this equation.

First, let's isolate the h variables by moving -56 to the other side:

7h - 5(3h - 8) - 56 = -128

(add 56 to both sides)

7h - 5(3h - 8) = -72

Next, let's distribute the -5 to (3h - 8) by separating it from the equation then adding it back:

7h - 5(3h - 8) = -72

Separation:

-5(3h - 8) --> (-5*3h) + (-5*-8) --> (-15h) + (40)

-15h + 40

Adding it back in:

7h -15h +40 = -72

Next, let's simplify it down by adding like terms, meaning adding 7h & -15h:

7h -15h +40 = -72

(add 7h & -15h)

-8h + 40 = -72

Now we're going to move the 40 to the other side but subtracting 40:

-8h + 40 = -72

(subtract 40 to both sides)

-8h = -112

Finally, we're going to divide both sides by -8

-8h = -112 --> h = 14

The answer is h = 14

(You can double check by plugging 14 into the equation and see if it equals -128, which it does, so it's correct :-) )

Hope it helps (●'◡'●)

Answer:3136

Step-by-s

tep explanation:

Answer:

4506

Step-by-step explanation:

you have do like this 56+57+58+59+60+.....+108 look you will 4506 as answer

Answer:

204g + 48

Step-by-step explanation:

simplifying the expression

The angle based on the diameter is always right

Then <ABC=90 and ∠BAC=∠ACB=45° ;  and ∠BCD=180-45=135 then                x=(180-135):2=22,5°

Hello!

(3n + 2) - 10 =

= (3 × 3 + 2) - 10 =

= (9 + 2) - 10 =

= 11 - 10 =

= 1

Good luck! :)

[tex]\displaystyle\bf (3n+2) -10 \ if \ n=3\Longrightarrow 3\cdot3+2-10=11-10=\boxed{1}[/tex]

Given:

The inequalities are:

[tex]y>\dfrac{2}{3}x+3[/tex]

[tex]y\leq -\dfrac{1}{3}x+2[/tex]

To find:

The graph for the given system of inequities.

Solution:

We have,

[tex]y>\dfrac{2}{3}x+3[/tex]

[tex]y\leq -\dfrac{1}{3}x+2[/tex]

The related equations are:

[tex]y=\dfrac{2}{3}x+3[/tex]

[tex]y=-\dfrac{1}{3}x+2[/tex]

Table of values

x                       [tex]y=\dfrac{2}{3}x+3[/tex]                        [tex]y=-\dfrac{1}{3}x+2[/tex]

0                             3                                           2

3                             5                                           1

Plot the points (0,3) and (3,5) and connect them by a straight line to get the boundary line [tex]y=\dfrac{2}{3}x+3[/tex].

Plot the points (0,2) and (3,1) and connect them by a straight line to get the boundary line [tex]y=-\dfrac{1}{3}x+2[/tex].

In [tex]y>\dfrac{2}{3}x+3[/tex], the sign of inequality is ">" it means the boundary line is a dashed line and shaded area lies above the boundary line.

[tex]y\leq -\dfrac{1}{3}x+2[/tex], the sign of inequality is "[tex]\leq [/tex]" it means the boundary line is a solid line and shaded area lies below the boundary line.

Therefore, the required graph is shown below.

Answer:

D

Step-by-step explanation:

-10 < -6 - 1

-10 < - 7 (ok)

-10 < -4 - 3

-10 < -7 (ok)

The answer is D (-2, -10)

Answer:

answer will be the integer only which was added to zero

Note: The values in the table are not correct because the sum of the probability of all events is not equal to one. The should be 0.13 and 0.33 instead of 0.113 and 0.133 respectively.

Given:

The probability distribution for a random variable x is given in the table.

x     :    -5          -3            -2            0           2          3

P(x) :  0.17      0.13       0.33       0.16       0.11      0.10

To find:

The probability of -2.

Solution:

From the given probability distribution for a random variable x, it is clear that the value of the probability is 0.33 corresponding to -2.

[tex]P(-2)=0.33[/tex]

Therefore, the probability of -2 is 0.33.

Answer:

Area = 14.5

Step-by-step explanation:

Let's label the given coordinates A, B, C;

Thus;

A = (2, 3)

B = (-1, 0)

C = (2, -4)

From the coordinate geometry formula, the formula for area of a triangle with 3 vertices is;

Area = [Ax(By - Cy) + Bx(Cy - Ay) + Cx(Ay - By)]/2

Area = [2(0 - (-4)) + (-1)(-4 - 3) + 2(3 - (-4))]/2

Area = 29/2

Area = 14.5

Answer:

[tex]\sqrt{90^2 + 90^2}[/tex]

= 127.2792206

Step-by-step explanation:

Answer: 127.28 feet.

Step-by-step explanation:

It’s actually 127.2792206 feet, but rounded to the nearest hundredth, it’s 127.28 feet. Hope I helped!

Answer:

25

Step-by-step explanation:

you would do the total which is 45-20

Answer:

Step-by-step explanation:

by considering  2 + 3 = 95

3² = 9

2 + 3 = 5      

by considering  4 + 5 = 259

5² = 25

4 + 5 = 9  

by considering  6 + 7 = 4913

7² = 49

6 + 7 = 13  

by considering  8 + 9 = ????

9² = 81

8 + 9 = 17  

∴ 8 + 9 = 8117

Answer:

I guess this is the answer

Answer:

1 2 and 4 not capping like everyone else

Step-by-step explanation:

the quiz sequence

Answer:

i toke it on edu

Step-by-step explanation:

it is 2

Answer:

c

Step-by-step explanation:

Answer: x = -2

Step-by-step explanation:

[tex]x=4+(4x-4)\frac{1}{2} \\x=4+\frac{4x}{2}-\frac{4}{2}\\x=4+2x-2\\x=2+2x\\x-2x=2\\-x=2\\x=-2[/tex]

Answer:

Step-by-step explanation:

M is the midpoint. SO length of XM  equals length of MY

MY = XM

9x + 12 = 5x + 8

Subtract 12 from both sides

9x  = 5x  +8 - 12

9x = 5x  - 4

Subtract 5x from both sides

9x - 5x = -4

      4x = -4

Divide both sides by 4

x = -4/4

x = -1

XY = 5x + 8

     = 5*(-1) + 8

     = -5 + 8

XY = 3

MY = 9x + 12

     = 9*(-1)1 + 12

     = -9 + 12

MY = 3

X Y = 3+3

XY = 6

Answer:

[tex]{ \tt{ = 2\pi \: rh}} \\ = 2 \times 3.14 \times 12 \times 1 \\ = 75.4 \: {cm}^{2} [/tex]

Answer:

brainliest and 20 points! Which best explains whether or not ΔABC ≅ ΔLMN? The figures are congruent because a 270° rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN. The figures are congruent because a 90 rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN. The figures are not congruent because point B corresponds with point N and point C corresponds with point M. The figures are not congruent because there is no rigid transformation or combination of rigid transformations that will map ΔABC onto ΔLMN.

Step-by-step explanation:

it's is the answr

Answer:

option C : 1/2

Step-by-step explanation:

[tex]\frac{1}{3} \div \frac{2}{3} \\\\\frac{\frac{1}{3}}{\frac{2}{3}}\\\\\frac{1}{3} \times \frac{3}{2} \\\\\frac{1}{2}[/tex]

Answer:

16x16x16x1.6

Step-by-step explanation:

here's your answer hope it helps you

Answer:

[tex]D. 7x^{2}(\sqrt[3]{x^{2}y} )[/tex]

Step-by-step explanation:

is this edge?

If it is, my friend had the same question i think. I didn't tho