The price of 50 litres of petrol is £36, find the price of each litre of petrol.

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Explanation:

Lets go through the points one by one

So we'll try (5,3) first. Plug x = 5 and y = 3 into the first inequality

[tex]y > -0.5x+5\\3 > -0.5*5+5\\3 > -2.5+5\\3 > 2.5[/tex]

We get a true result so (5,3) is a solution to the first inequality. Now check the second inequality.

[tex]y \le 3x-2\\3 \le 3(5)-2\\3 \le 15-2\\3 \le 13\\[/tex]

That's also true. Therefore, the point (5,3) is a solution to the system overall.

Your teacher wants you to find a non-solution, so we must cross choice A off the list.

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Let's now try choice B. We have x = 4 and y = 3

[tex]y > -0.5x+5\\3 > -0.5*4+5\\3 > -2+5\\3 > 3[/tex]

That last inequality is false. It's not possible to have a number larger than itself (or smaller than itself). So (4,3) is not a solution to the first inequality. We don't need to check the second inequality as we found the answer.

Answer:

22 feet.

Step-by-step explanation:

Arc Length= Ø / 360 degrees * 2pir

(2pir = 2 * pi * radius)

Given: r = 7 feet

Ø = 180 so the fraction of the circle we seek is 180/360 = 1/2

Arc length: 1/2*2pi*7 = 21.99 ft

22 ft when rounded!

The length of feet he can walk if he extends the leash as far as it can go will be 22 feet.

The arc length formula for a circle is times the radius of a circle. Arc length ( Angle x radius ) is a way to express the arc length formula in radians.

Given that a dog's leash is tied to a pole while the owners go into a restaurant to get the dog some water. The leash is 7 feet long and the dog can walk 180 degrees in a semi-circle.

The length of the arc will be calculated as below:-

Arc Length= Ø / 360 degrees * 2pir

(2πr = 2x π x radius)

r = 7 feet and Ø = 180 the fraction of the circle we seek is 180/360 = 1/2

Arc length =  1/2  x 2 π x 7 = 21.99 ft

Therefore, the length of feet he can walk if he extends the leash as far as it can go will be 22 feet.

To know more about the length of the arc of the circle follow

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Hey! I believe this is the answer you're looking for:

https://brainly.com/question/16663256

Step-by-step explanation:

The volume of paint used, V liters, is directly proportional to the area, A square feet, that the paint can cover.

This is written as:

\begin{gathered}V \propto A\\V=kA,$ where k is the constant of proportionality\end{gathered}

(a)5 liters of paint can cover a wall with an area of 75 square feet.

V=5 liters, A=75 square feet.

Substitution into V=kA

5=75k

k=5/75

\text{Constant of proportionality, k}=\dfrac{1}{15}Constant of proportionality, k=151

(b)Substitution of k=\dfrac{1}{15}k=151 into V=kA

The equation relating V and A is:

V=\frac{1}{15}AV=151A

(c)If A=180 Square feet

Volume of paint needed,

\begin{gathered}V=\frac{1}{15} X 180\\=12$ liters\end{gathered}

Answer:

I A

Step-by-step explanation:

A is the answer sorry I cant conform

Answer:

[tex][tex]\red{\rule{100pt}{100000pt}}[/tex][/tex]

Answer:

40000

Step-by-step explanation:

Simple interest (I) is calculated as

I = [tex]\frac{PRT}{100}[/tex]

P is the amount borrowed , R is the interest and T the time in years

Here I = 2000 , R = 5 and T = 1 with P to be found , then

2000 = [tex]\frac{P(5)(1)}{100}[/tex] ( multiply both sides by 100 )

5P = 200000 ( divide both sides by 5 )

P = 40000

Answer:

The sum (Principal) is Rs.4000.

Step-by-step explanation:

Given :

To Find :

Using Formula :

[tex]\star\small{\underline{ \boxed{\sf{\red{S.I = \dfrac{P \times R \times T}{100}}}}}}[/tex]

Solution :

Substituting all the given values in the formula to find the Simple Interest :

[tex]{\dashrightarrow{\small{\sf{S.I = \dfrac{P \times R \times T}{100}}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{2000= \dfrac{P \times 5 \times 1}{100}}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{2000= \dfrac{P \times 5}{100}}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{2000= \dfrac{5P}{100}}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{P = 2000 \times \dfrac{100}{5}}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{P = 2000 \times \cancel{\dfrac{100}{5}}}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{P = 2000 \times 20}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{P =Rs.40000}}}}[/tex]

[tex]\star\small{\underline{ \boxed{\sf{\red{P = Rs.40000}}}}}[/tex]

Hence, the sum Bharat borrowed is Rs.40000.

[tex] \rule{190}1[/tex]

Answer:

this is not my level of math sorry i cant help you :(

Step-by-step explanation:

sorry

Step-by-step explanation:

hope this help you ......

Answer:

$8.00

Step-by-step explanation:

20% of 44.85=8.97

thats the closest to 8.00

Answer:

the answer is 9 dollars cuz the real answer is $8.97 and round to the nearest whole the answer is 9

Step-by-step explanation:

Para desplazar o trasladar una figura siempre mueva la figura de acuerdo al ángulo o distancia indicado sin modificar el tamaño o características de la figura.

El desplazamiento o traslación de una figura implica el desplazamiento de la figura de acuerdo a un ángulo determinado o distancia.

Este desplazamiento generalmente cambia la posición de la figura pero nunca debe cambiar:

Nota: Esta pregunta esta incompleta porque no hay información sobre las figuras que se deben trasladar ni las preguntas a responder, por está razón respondí la pregunta basado en conocimiento general.

Aprenda más sobre figuras en: https://brainly.com/question/14982752

Answer:

27

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Answer:

1

Step-by-step explanation: i am not sure

Answer:

Point A

Step-by-step explanation:

Look along the x axis (horizontal) and find -1. Then look on the y axis and find 1 and 1/4. Finally, find where the two coordinates meet and that's your point - A.

Hope this helps!

Answer:

Step-by-step explanation:

13500/3 = 4500

4500 x 2 = 9000

Answer: y=5/3x+3

Step-by-step explanation: remember rise over run meaning y over x next where the y intersect is is the b in the equation

Answer:

Your answer is 909.39 feet

Step-by-step explanation:

Answer:

Step-by-step explanation:

i dont know.

Answer:

C) y = 10

Step-by-step explanation:

Subtract 2/7 from each side

4/7y = 40/7

Divide both sides by 4/7 (Multiply by 7/4)

y = 10

Answer:

C) y=10

Step-by-step explanation:

4/7y+2/7=6

7(4/7y+2/7)=7(6)

4y+2=42

4y=42-2

4y=40

y=40/4

y=10

Answer:

The answer is $7.05.

Hope it helps.

Step-by-step explanation:

Okay so Amy bought 5 shirts for $10.59 EACH.

So what we have to do is $10.59 x 5 which equals to $52.95. The final step is to take away $60.00 from $52.95. $60.00 - $52.59 = $7.05.

So Amy gets $7.05 change back.

Answer:

y= 1/2

Step-by-step explanation:

      y=-4 -3y+x

<=> y + 3y = -4 + x

<=> 4y = -4 + 6

<=> 4y = 2

<=> y = 1/2

[tex]x^3+12x^2+47x+60\\\\=x^3+3x^2 +9x^2+27x+20x+60\\\\=x^2(x+3) + 9x(x+3)+20(x+3)\\\\=(x+3)(x^2+9x+20)\\\\=(x+3)(x^2 + 4x +5x +20)\\\\=(x+3)[x(x+4)+5(x+4)]\\\\=(x+3)(x+4)(x+5)[/tex]

Answer:

450$

Step-by-step explanation:

Answer:

x=65

Step-by-step explanation:

Answer:

13. 15

14. 7.25

15. 18.7

16. 40.515

17. 9.6

18. 12.95

19. 20.4

20. 16.2

21. 24

22. 25.65

Answer:

a = 28°

Step-by-step explanation:

62°+a° = 90°

a = 90 - 62

a = 28°

Answer:

Step-by-step explanation:

Since we know that 62 + ∠A must equal 90°, we can find the missing angle by isolating the variable.

Conclusion:

Therefore, the measure of the missing angle is 28°.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

Part A, 3550$

Part B, Ten female ferrets left

Step-by-step explanation:

Answer:

n-1,n,n+1

Step-by-step explanation:

let the numbers be x,x+1,x+2

x+x+1+x+2=3n

3x+3=3n

3x=3n-3

x=1/3 (3n-3)=n-1

so mumbers are n-1,n,n+1

The three consecutive numbers are n-1, n, and n+1.

We have to determine, the three consecutive numbers if their sum is 3n.

According to the question,

The consecutive number series can be even as well as odd depending on the first term of the series and the difference between the numbers.

Let, the three consecutive numbers be x, x+1, and x+2.

The sum of three consecutive numbers is equal to 33.

[tex]\rm x + x+1+x+2=3n\\\\3x+3 = 3n \\\\Divided \ by \ 3 \ on \ both \ the \ sides \\\\x +1 = n\\\\x = n-1[/tex]

Therefore,

The first consecutive number is,

[tex]\rm x = n-1[/tex]

The second consecutive number is,

[tex]\rm x+1 = n-1+1 = n\\[/tex]

The third consecutive number is,

[tex]\rm x+2= n-1+2 = n+1\\[/tex]

Hence, The three consecutive numbers are n-1, n, and n+1.

For more details refer to the link given below.

https://brainly.com/question/16048559

Answer:

  x ≠ -3

Step-by-step explanation:

Adding 4x-72 to the first inequality gives ...

  -12 < 4x

  -3 < x . . . . . divide by 4

Adding -11 to the second inequality gives ...

  14x < -42

  x < -3 . . . . divide by 14

Now we have ...

  x < -3 or x > -3

The solution is x ≠ -3.

_____

The graph of the solution set is the entire number line with a "hole" at -3. The number -3 is the only value not part of the solution set.