Alyssa is getting gas for her car. Her car's 15-gallon tank has 15 of a tank of gas left. If gas costs $2.699 per gallon, how much will she pay for gas, rounded to the nearest cent?

Answer:

7(7p-5q)

Step-by-step explanation:

49p-35q

7(7p-5q)

Answer:

5 x 4 x 3 = 60

Step-by-step explanation:

Do - H x L x W

H is 5

L is 4

W is 3

Answer:

b

Step-by-step explanation:

Answer:B

I think we are in the same class lol

Step-by-step explanation:448 divided by 14= 32

448 divided by 16= 28

B=speed of boat in water

Y= Speed of current

B+y=32

B-y=28

32 + 28 =60

60 divided by 2 = 30

32 -30 =2

B=30

Y=2

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A boat traveled 448 miles downstream and back. The trip downstream took 14 hours. The trip back took 16 hours. B) boat: 30 mph, current: 2 mph.

If the object is going linearly, and at a constant speed, then the speed of that object is given by the distance it traveled to the time it took to travel that distance.

If the object traveled D distance in T units time, then that object's speed is

[tex]Speed = S = \dfrac{\: Distance \: traveled}{\: Time \: taken} = \dfrac{D}{T} \: \rm unit \: length/unit \: time[/tex]

A boat traveled 448 miles downstream and back.

The trip downstream took 14 hours. The trip back took 16 hours.

[tex]S = \dfrac{D}{T} \: \rm unit \: length/unit \: time[/tex]

Speed of downstream

448/ 14= 32

Speed of back stream

448 / 16= 28

B = Speed of boat in the water

Y = Speed of current

The system of equation

B + y = 32

B - y = 28

32 + 28 =60

60 / 2 = 30

So,

32 - 30 =2

B = 30  

Y = 2

Learn more about motion in stream here:

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Answer:

96 i think

Step-by-step explanation:

I think its 96. just multiply all the sides

Answer:

I believe it's 180 or 90

180?

Answer: multiply each point by 3. You would need to multiply both the x and y value in the point to find the new dilated point.

Step-by-step explanation:

Answer:

[tex]Pr = 6.67\%[/tex]

Step-by-step explanation:

Given

[tex]n = 10[/tex] i.e. 10 people

Required

Probability of being next to each other

First, we calculate the total possible arrangements (without any restriction)

[tex]Total = n![/tex]

[tex]Total = 10![/tex]

If the three are to be next to each other,

First, we arrange the three

[tex]r_1 = 3![/tex]

Now, the 3 will be seen as 1; so, we have a total of 8 people i.e. (1 + 7 others)

The arrangement is:

[tex]r_2 =8![/tex]

So, the total arrangement, when they have to be next to one another is:

[tex]r = r_1 * r_2[/tex]

[tex]r = 3! * 8![/tex]

The probability is:

[tex]Pr = \frac{r}{n}[/tex]

[tex]Pr = \frac{3! * 8!}{10!}[/tex]

Expand

[tex]Pr = \frac{3*2*1 * 8!}{10*9*8!}[/tex]

[tex]Pr = \frac{3*2*1}{10*9}[/tex]

[tex]Pr = \frac{6}{90}[/tex]

[tex]Pr = 0.0667[/tex]

Express as percentage

[tex]Pr = 0.0667 * 100\%[/tex]

[tex]Pr = 6.67\%[/tex]

Answer:

No

Step-by-step explanation:

if both equations begin with 'y=' then we can set the expressions equal to each other:

-x+1 = -x+5

1 ≠ 5 ∴ there are no solution to this system of equations

Answer:

D is correct option.

Step-by-step explanation:

g(x) =-3 root x-1.

Answer: b

Step-by-step explanation:

Answer:

its the one thats right

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex](10a^5b^4-15a^4b^5+5a^3b^3)\div(-5a^3b^3)=\dfrac{10a^5b^4-15a^4b^5+5a^3b^3}{-5a^3b^3}=\\\\\\=\dfrac{10a^5b^4}{-5a^3b^3}+\dfrac{-15a^4b^5}{-5a^3b^3}+\dfrac{5a^3b^3}{-5a^3b^3}=-2a^2b+3ab^2-1[/tex]

Answer:

so the answer for your question is -4

Answer:

Step-by-step explanation:So for this question, you need to find side KI and you can find it with the pythagorean theorem

[tex]5^2+\sqrt{21}^2 = c^2[/tex]

25+21=c^2

46=c^2

c=sqrt46

c=6.78

sin(opposite/hypotnuse)

sin(sqrt21/ sqrt46) =.0117

Answer:

0 | -6

____

3 | -15

Step-by-step explanation:

just plug in the numbers they give u in the chart

when x = 0 -> y = -3*0-6 = -6

when y = -15 -> -15 = -3x-6 -> x = 3

The graph of the line y = -3x -6 is giving the solution (0,-6) and (3,-15).

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The given equation of the line is y = -3x - 6. the two points on the graph are satisfying the equation.

x = 0 , y = -3 x 0-6 = -6

y = -15 -> -15 = -3 x-6 -> x = 3

Therefore, the graph of the line y = -3x -6 is giving the solution (0,-6) and (3,-15).

To know more about an equation of the line follow

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Answer:

105°

Step-by-step explanation:

11x-5 + 6x+5 + x = 180

18x = 180

x = 10

m∠Q = 11(10)-5 = 110-5 = 105°

Answer:

105.

I hope you have a good day :)

Answer:

Step-by-step explanation:

Let the x be the number of hours after noon.

We have the following equation:

Answer:

Step-by-step explanation:

He will pay 25% income tax as per table.

He will earn after tax:

Answer:

the answer is 67789 because he will have enough money for the car to play

Answer:

−6x + 10

Step-by-step explanation:

- (−3) (2x) + (−3) (−4) + −2

-  −6x + 12 + −2

- (−6x) + (12 + −2)

= −6x + 10

Answer:

d

Step-by-step explanation:

Answer:

its right

Step-by-step explanation:

Answer:

(a) is true

Step-by-step explanation:

Given

See attachment for box plots

Required

Which of the options is true?

Option A compares the IQR of both plots.

IQR is calculated using:

[tex]IQR = Q_3 - Q_1[/tex]

Where

[tex]Q_1 \to[/tex] Lower quartile

[tex]Q_2 \to[/tex] Upper quartile

From the attached plots, we have:

Republican

[tex]Q_1 = 170.5[/tex]

[tex]Q_3 = 356[/tex]

So:

[tex]IQR = 356 - 170.5[/tex]

[tex]IQR = 185.5[/tex]

Democratic

[tex]Q_1 = 181[/tex]

[tex]Q_3 = 367.5[/tex]

So:

[tex]IQR = 367.5 - 181[/tex]

[tex]IQR = 186.5[/tex]

We have:

[tex]IQR = 185.5[/tex] --- Republican

[tex]IQR = 186.5[/tex] --- Democratic

Hence, (a) is true

Answer:

Team A: 25 players

Team B: 24 players

Step-by-step explanation:

Team A:

to find the total # of players of the team we need to set up a fraction. 5 out out of an unknown number of players is equal to 1/5, so we set it up as:

[tex]\frac{5}{x} = \frac{1}{5}[/tex]

then we cross multiply to get

x*1 = 5*5

x=25 players

Team B

similarly to Team A

[tex]\frac{3}{x} = \frac{1}{8}[/tex]

cross multiply to get

x*1=3*8

x= 24 players

Given:

The radius of the circle X is XY.

Coordinates of X are (0,3) and coordinates of Y are (-3,-1).

To find:

The area of the circle.

Solution:

Distance formula:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The radius of the circle is the distance between the points X(0,3) and Y(-3,-1).

[tex]XY=\sqrt{(-3-0)^2+(-1-3)^2}[/tex]

[tex]XY=\sqrt{(-3)^2+(-4)^2}[/tex]

[tex]XY=\sqrt{9+16}[/tex]

[tex]XY=\sqrt{25}[/tex]

[tex]XY=5[/tex]

The radius of the circle is 5 units.

The area of the circle is:

[tex]A=\pi r^2[/tex]

Where, r is the radius of the circle.

Putting [tex]\pi=3.14, r=5[/tex] in the above formula, we get

[tex]A=(3.14)(5)^2[/tex]

[tex]A=(3.14)(25)[/tex]

[tex]A=78.5[/tex]

Therefore, the area of the circle is 78.5 square units.

Answer:72

Step-by-step explanation:

Answer: the answer is D

Step-by-step explanation:

Answer:

y= x+1

y= x-5

There are 0 solutions because the lines will never intersect (which is due to their slopes being the same).

Step-by-step explanation:

Because we don't have any numbers we're supposed to esitmate, but the important thing to realize is that the slopes are identical

so let's say our equations are

x+1

x-5

2.)

There are 0 solutions because the lines will never intersect (because their slopes are the same)

Answer:

see explanation

Step-by-step explanation:

The solution to a system of equations given graphically is at the point of intersection of the 2 lines.

Therefore if the lines are parallel, they never intersect and hence there is no solution.

The lines given appear to be parallel and so there is no solution.