Petrol costs 137p a litre at garage A, 139p a litre at garage B and 138p a litre at garage C. Carol has £27.50 and she needs to fill up her tank with 20 litres of petrol. 1. 20 litres cost £ at garage A. 2. 20 litres cost £ at garage B. 3. 20 litres cost £ at garage C. 4. Which garage should Carol go to, to fill up her car? 5. How much more money would she need if she went to the most expensive garage?£​

The coordinates of point B are (-3, 17).

The given equation is M = I₁ + I₂ = 31 + 32.

Now let's substitute in our given values:

(-2, 2) = ((-5 + x₂) / 2, (-5 + 2 + y₂) / 2)

We will now set up two equations to solve for our two unknowns, x₂ and y₂:

Equation 1: (-5 + x₂) / 2 = -4

Multiply both sides by 2:

-5 + x₂ = -8

Add 5 to both sides:

x₂ = -3

This gives us the x-coordinate of point B.

Equation 2: (-5 + 2 + y₂) / 2 = 7

Simplify:

(-3 + y₂) / 2 = 7

Multiply both sides by 2:

-3 + y₂ = 14

Add 3 to both sides:

y₂ = 17

This gives us the y-coordinate of point B.

Therefore, the coordinates of point B are (-3, 17).

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x is 146 degrees

This is because angle y and angle x are supplementary, which means their measures add up to 180 degrees

180 - 34 = 146

Answer: x = 146°

Step-by-step explanation:

Given that y = 35°, Using linear pair

x+y = 180

x+35=180(Substitute value of y)
x=180-35(Transposition Method)

x=145°

The distance between the two points on the number line is of \(\mathbf{\frac{5}{9}}\) units.

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\(-\frac{2}{9} - (-\frac{7}{9}) = -\frac{2}{9} + \frac{7}{9} = \frac{-2 + 7}{9} = \frac{5}{9}\)

Thus, distance of \(\mathbf{\frac{5}{9}}\) units.

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Answer:

x = 2

Step-by-step explanation:

Answer:

x = -1, y = 2

Step-by-step explanation:

6x + 5y = 4

6x - 7y = -20

We already have a similar leading coefficient (6 for X), so we just subtract equation 1 from equation 2 to get:

12y = 24

Now solve normally:

y = 2

Then substitute into the first equation (or second, it doesn't matter)

6x + 10 = 4

6x = -6

x = -1

Answer:

Step-by-step explanation:

GIven that :

(a) lim (x,y)→(0,0) 5x + y √ 5x + y + 9 − 3

(b) lim (x,y)→(0,0) 2xy x 2 + y 2

We are to evaluate and determine if the limit exist or not.

From (a);

\(\lim \limits _{x \to y (0,0) } 5x + y \sqrt{5x} + y + 9 - 3\)

x = 0

y = 0    (Since no presence of indeterminate)

= \(} 5(0 )+ y \sqrt{5(0)} + (0) + 9 - 3\)

= 0+0+0 +9 - 3

= 6

Therefore; the limit exist

(b)

\(\lim \limits _{x \to y (0,0) } \dfrac{2xy}{x^2+y^2}\)

If  y = mx

\(\lim \limits _{x \to y (0,0) } \dfrac{2(mx^2)}{x^2+(mx)^2}\)

\(\lim \limits _{x \to y (0,0) } \dfrac{2(mx^2)}{x^2+(m^2x^2)}\)

\(= \dfrac{2m }{1+m^2}\)

So;  the limit depends  on the value of m; then the limit does not exist

9514 1404 393

Answer:

  D.  Rectangle

Step-by-step explanation:

For any pyramid or prism, a cross section parallel to the base will have the same shape as the base.

A rectangular pyramid will have a rectangular cross section parallel to the base.

Answer:

Rectangle is the correct option.

Step-by-step explanation:

Step-by-step explanation:

Team A time is    1 garden / ( 1 garden/ 2 hr + 1 garden/4 hr) = 1 1/3 hr

Team B =   1 / ( 1/3 + 1/3) =  1 1/2 hr

Team A wins !

Answer:

0.14545454545 Maybe

Step-by-step explanation:

Answer:

8/55

Step-by-step explanation:

The first thing you need to do is find a common denomintor.

The first denominator is 5, the other is 11.

If you multiply these together, you will get 55. This can not be reduced and still be divisable by 5 and 11, so this is your new denominator.

So for the 3/5 multiply both top and bottom by 11, since thats how many times bigger the denominatir needs to be:

3*11/5*11= 33/55

Then for 5/11 multiply both top and bottom by 5, since thats how many times bigger the denomator is to make 55:

5*5/11*5=25/55

Now we have:

33/55-25/55

When subtracting fractions, you are only subtracting the two numerators, and the denominators are unaffected:

33-25/55=8/55

So 8/55 is your answer.

Hope this helps!

Answer:

1) 25, 2) 6

Step-by-step explanation:

Answer:

ok

Step-by-step explanation:

Answer:

I need 1 Brainliest before I can become Virtuoso

Step-by-step explanation:

Answer:

x=5:2 =5/2

5/2+6

6/1×2/2 =12/2 then

5/2+12/2=17/2

The answer is 17/2

9514 1404 393

Answer:

  0  (no solutions)

Step-by-step explanation:

Eliminating parentheses, the equation becomes ...

  24s +72 = 24s -112

  184 = 0 . . . . . . . . . . . add 112 -24s to both sides

There is no value of the variable s that will make this true. The equation has no solutions.

Answer:

x>9/5

Step-by-step explanation:

x>9/5

Answer:

-20

Step-by-step explanation:

36 ÷ [-3] + [-4] × 3 − [-4]

In order to calculate this expression, all we have to do is following the order of operations:

Since division and multiplication comes before addition and subtraction

Then

36 ÷ [-3] + [-4] × 3 − [-4]

= (36 ÷ [-3]) + ([-4] × 3) − [-4]

= (-12) + (-12) − [-4]

= ((-12) + (-12)) − [-4]

= (-12 − 12) − [-4]       (Recall :  + (-a) = - a )

= - (12 + 12) − [-4]

= - (24) − [-4]

= - (24) + 4       (Recall :  - (-a) = a )

= - (24 - 4)     (Recall :  -a + b = - (a - b) )

= - (20)

= -20

Answer:

\(x < \frac{3}{14} \)

Step-by-step explanation:

\(1. \: x < \frac{ - 3}{ - 14} \\ 2. \: x < \frac{3}{14} \)

The zeros with each multiplicity are given as follows:

The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

Considering the linear factors of the function in this problem, the zeros are given as follows:

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\(\boxed{\sf \dfrac{d}{dx}x^n=nx^{n-1}}\)

\(\boxed{\sf \dfrac{d}{dx}sinx=cosx}\)

Now

\(\\ \sf\longmapsto \dfrac{d}{dx}(x+1)sinx\)

\(\\ \sf\longmapsto 1+cosx\)

sin x + x · cos x + cos x

Step-by-step explanation:

f(x) = u · v → f'(x) = u' · v + u · v'

f(x) = (x + 1) sin x

f'(x) = 1 · sin x + (x + 1) · cos x

f'(x) = sin x + x · cos x + cos x

Answer:

12/37

Step-by-step explanation:

Answer:

the gcf is 27

27(x-3)

Step-by-step explanation:

Answer:

y = -4x - 7

Step-by-step explanation:

we use the slope intercept formula given by; y = mx + b

b = y intercept, which is when x = 0

m = slope

so they tell us the slope.. we just need to find b - the y intercept.

y = mx + b

plug in your coordinates (-2,1)

1 = -4(-2) + b

1 = 8 + b

1 - 8 = b

-7 = b

put it all together.

y = -4x - 7

The test results' standard deviation is around 33. Standard deviation is a measure of the spread or dispersion of a set of data. It measures how much the individual data points deviate from the mean of the data.

To find the standard deviation of this data, we first need to calculate the sample mean and variance:

Sample mean, = (290 + 805 + 708 + 606 + 504 + 401 + 302 + 05) / 31 = 56.45

Sample variance, \(s^2 = [(2-56.45)^290 + (80-56.45)^25 + (70-56.45)^28 + (60-56.45)^26 + (50-56.45)^24 + (40-56.45)^21 + (30-56.45)^22 + (0-56.45)^25] / (31-1) = 1080.56\)

To find the standard deviation, we take the square root of the variance:

Standard deviation, \(s = sqrt(s^2) = sqrt(1080.56) = 32.90\\\)

Rounding to the nearest unit, the standard deviation is approximately 33.

Therefore, the standard deviation of the test scores is approximately 33.

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Answer:

He can buy 7 packs or 5 packs it depends on how each costs seperately.

Step-by-step explanation:

If each pack costs 5 dollars then he can buy 7.

If each pack costs 7 dollars then he can buy 5.

Answer:

Step-by-step explanation:

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Two angles which are congruent to each other are,

⇒ ∠ MLR = ∠ QON

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

The figure is shown in graph.

Now, By the figure we have;

Two angles which are congruent to each other are,

In triangles MLR and OQN'

⇒ ∠ MLR = ∠ QON

Thus, Two angles which are congruent to each other are,

⇒ ∠ MLR = ∠ QON

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Answer:

21.1 minutes

Step-by-step explanation:

Time for first mile + second + third

6.75+ 7.1+ 7.25

21.1 minutes or (21.1 * 60) seconds = 1266 seconds

Answer:

10%

Step-by-step explanation:

please tell me if im right or wrong

Okay, here we have this:

Considering the provided information we obtain the following equation:

We are going to add all the notes obtained, and finally we will divide them by the number of notes to obtain the average, which must be equal to 88 according to the statement.

(83*2+86*4+92*3+x*3)/12=88 (Where x, represents the final exam grade)

Let's simplify the expression a bit:

(786+3x)/12=88

Now, let's solve for x, to find what grade will Jenna need to get on the final test to receive an 88 for the term:

Finally we obtain that she needs get a 90 on the final test to receive an 88 for the term.