14
A canteen spends money on food and drink in the ratio of 29:3
In total, they spend £6496.
Find how much money they spend on drink.​

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Answer:

  [tex]\dfrac{20+5\sqrt{3}}{13}[/tex]

Step-by-step explanation:

Multiply numerator and denominator by the "conjugate" of the denominator.

  [tex]\dfrac{5}{4-\sqrt{3}}=\dfrac{5(4+\sqrt{3})}{(4-\sqrt{3})(4+\sqrt{3})}=\dfrac{20+5\sqrt{3}}{4^2-(\sqrt{3})^2}=\boxed{\dfrac{20+5\sqrt{3}}{13}}[/tex]

__

This is done in different scenarios in order to take advantage of the factoring of the difference of squares. Square root terms and imaginary terms in the denominator can be eliminated in this way.

  a² - b² = (a -b)(a +b)

Answer:

x = 13

Step-by-step explanation:

x = hypotenuse which is c in the Pythagorean theorem

c = √a^2 + b^2

c = √12^2 + 5^2

c = 13

Answer:

the y- intercept is "3" and the x- intercept is "6"

Step-by-step explanation:

Answer:

John is 3 and Annie is 5 because to be half of someone's age while being to years younger it would have to be 2 and 4 - but then a year passed and so the are now 3 and 5.

Step-by-step explanation:

The present  age of John is  3 years

The present age of Annie is 5 years  

Given that John is 2 years younger than Annie's age

Let the present age of John be "J"

Let the present age of Annie be "A"

According to the given situation

[tex]\rm J = A -2........(1)\\[/tex]

One year ago the age of John = [tex]\rm J-1[/tex]

One year ago the age of Annie = [tex]\rm A -1[/tex]

According to the given situation

[tex]\rm\dfrac{A-1}{2}= J-1.........(2)[/tex]

On solving for equations (1) and (2) we get

A = 5 and J = 3

So the present  age of Annie is  5 years

The present age of John is 3 Years  

For more information please refer to the link given below

https://brainly.com/question/21835898

9514 1404 393

Answer:

  $48,000 to start, with 6% raises

Step-by-step explanation:

The starting salaries are within a few percentage points of each other, so the majority of the difference in earnings will come because of the raises. The offer with the largest raise percentage is likely the best.

The earnings total can be figured as the sum of a geometric series with a first term of "starting salary" and a growth factor of (1+raise percentage). For starting salary 's' and raise percentage 'r', the total earnings in 6 years will be ...

  S = s((1+r)^6 -1)/r

Here are the total earnings, in thousands, for each of the offers:

  a) s = 49, r = .03, S = 316.95

  b) s = 51, r = .01, S = 313.75

  c) s = 48, r = .06, S = 334.82 . . . . best offer

  d) s = 50, r = .02, S = 315.41

The worker can earn the most from a starting salary of $48,000 and 6% increases each year.

C) a starting salary of $48,000 with a 6% increase each year

Answer:

3)-rightx (877

Answer: Organisms go through mitosis that allows new identical cells to be made.

explanation:

mitosis also occures when cells are worn out or are injured and the mitosis will replace the injured cells

9514 1404 393

Answer:

  Table B is a function

Step-by-step explanation:

The relation shown in a table is NOT a function if the same input value gives different output values.

In Table A, input Taurus gives different outputs, so Table A is NOT a function.

In Table B, there are no repeated inputs, so Table B IS a function.

Answer:

Step-by-step explanation:

Step one:

given the expression w/8 - 4 = 20

the first operation is to isolate the term that has w by adding 4 to both sides

w/8 - 4+4 = 20+4

w/8 = 16

Required

the value of w

Step two:

the next step is to cross multiply

w=16*8

w=128

Answer:

x = 6

Step-by-step explanation:

In order for m to be parallel to n 16x - 6 would have to equal 90. We can demonstrate that using an equation.

16x - 6 = 90

Let's solve for x:

First add 6 to both sides to isolate the 16x:

16x - 6 + 6 = 90 + 6

16x = 96

Now divide both sides by 16 to isolate the x:

16x/16 = 96/16

x = 6

The value of x has to be 6 in order for m to be parallel to n.

Answer:

55

Step-by-step explanation:

Please let me know if you need an explanation.

Answer:

The two numbers are 40, and 27.

Explanation:

Since there are only two numbers, with two different aspects, you can just make

a system, and solve.

A sum of two numbers adding up to 67 can be modeled by: x + y = 67.

A difference of those same two numbers being 13 can be modeled by: x – y = 13.

You can add the two equations together to eliminate the y value because the -y and y will cancel out:

x + y = 67.

+ x – y = 13.

And you get: 2x = 80.

Now to find x, just divide by 2 on both sides to cancel out the coefficient of 2 in 2x:

2x = 80

÷2 ÷2

x = 40.

So the first number is 40.

Since we know the first number, we can immediately find the other number by substituting it into the first equation.

x = 40 → x + y = 67

(40) + y = 67

-40. -40

Subtract from both sides to cancel the constant terms.

Then you will get that y or the second number is y = 27.

This is true because 40 + 27 = 67, and 40 - 27 = 13.

Answer:

x < 3

Step-by-step explanation:

Given

4x - 7 < 5 ( add 5 to both sides )

4x < 12 ( divide both sides by 4 )

x < 3

Answer:

y=mx+b hope this helps

Step-by-step explanation:

Answer:

11/36

Step-by-step explanation:

Answer:

5x-7

Step-by-step explanation:

5x-7

Product=multiply so 5x and less than is minus so 5x-7.

Hope this helps :D

Answer:

y = 3.

Step-by-step explanation:

x + 5y = 7

x = 7 - 5y

Substitute x for 7 - 5y in the second equation.

2 ( 7 - 5y ) + 4y = -4

14 - 10y + 4y = -4

14 - 6y = -4

6y = 14 + 4

6y = 18

y = 3.

Hope this helped!

Answer:

y = 3

Step-by-step explanation:

x + 5y = 7

Subtract 5y from both sides;

x = -5y + 7

Substitute x into the equation;

2x + 4y = -4

2(-5y + 7) + 4y = -4

Distribute;

-10y + 14 + 4y = -4

-6y + 14 = -4

Subtract 14 from both sides;

-6y = -18

Divide both sides by -6

y = 3

Substitute y;

x + 5y = 7

x + 5(3) = 7

x + 15 = 7

Subtract 15 from both sides;

x = -8

Number 4 would be: C

And number 5 would be: C

Please Mark as Brainliest!!!

Answer:

Number 4 is c 1/6 and number 5 is also c

Step-by-step explanation:

I just divided 1 and 6 and got 0.1666

and did the same for the other one

pls mark brainliest

Step-by-step explanation:

13) 4x-22+x+11+10x-4 =180

15x=195

x=13

<P=(10(13)-4)=126

<Q=(4(13)-22)=30

<R=13+11=24

Answer:

(-2,3) if your doing substitution

(-2,3) for Elimination

Step-by-step explanation:

Answer:

yay thats so coolllllllll

Answer:

x=6

alternative exterior angles

Step-by-step explanation:

to prove y and z parallel then the two angles must be equal:

11x-3=4x+39

11x-4x=39+3

7x=42

x=42/7

x=6

-260

then

-5x

-13x+390

-390

/-13

=

Answer:

x=30

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:parallel

Step-by-step explanation:

Answer:

Please check the attached figure!

Step-by-step explanation:

Part a)

Point A is located at the x-coordinate x=-4 and y-coordinate y=1.

Hence, the coordinates of point A = (-4, 1)

Part b)

Point B(3, -2) has been plotted and is shown in the attached figure.

It is clear from the attached diagram that point B is located at the x-coordinate x=3 and y-coordinate y=-2. Hence, the coordinates of point B = (3, -2)

Part C)

Point C has the same x-coordinate as point A i.e. x=-4 and the same y-coordinate as point B i.e. y=-2.

Hence, the coordinates of point C = (-4, -2). Point C is also plotted as shown in the diagram.

Answer:

width = 15

Step-by-step explanation:

a² + b² = c² This the the formula

(PLUG IN)

8² + b² = 17²

64 + b² = 289 (subtract 64 on both sides)

b² = 225 (square root)

b = 15

Hope this helps ya!!

Answer:

2 + 2 is 4

Step-by-step explanation:

thanks!!!!!!!