An iPhone costs £750 in London, €800 in Paris and $1,050 in New York.
Using £1 = €1.14 and £1 = $1.39, state the lowest price of the iPhone in £.
Give your answer to 2 dp.

Answer:

3/13

Step-by-step explanation:

Here is the full question

There are seven nickels and seven dimes in your pocket. You randomly pick a coin out of your pocket and place it on a counter. Then you randomly pick another coin. Find the probability that both coins are nickels.

Because there is no replacement, after you pick the first coin, the number of coins in your pocket becomes 13 and the number of nickels in your pocket becomes 6

probability that both coins are nickels = probability that the first coin is a nickel x probability second coin is a nickel

7/14 x 6/13 = 3/13

Answer:

≈ 49.9° and ≈ 71.0°

Step-by-step explanation:

Using the sine ratio in the right triangle

sin? = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{13}{17}[/tex] , then

? = [tex]sin^{-1}[/tex] ([tex]\frac{13}{17}[/tex] ) ≈ 49.9° ( to the nearest tenth )

----------------------------------------------------------------

Using the cosine ratio in the right triangle

cos? = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{14}{43}[/tex] , then

? = [tex]cos^{-1}[/tex] ([tex]\frac{14}{43}[/tex] ) ≈ 71.0° ( to the nearest tenth )

Answer:

See answers below

Step-by-step explanation:

1) Given the simultaneous equation;

-2x + 2y = 2 .... 1  * 2

4x –4y= 4...2 * 1

____________

-4x + 4y = 4 .... 1

4x –4y= 4...2

Add both equations

4y-4y = 4-4

0y = 0

y = 0/0

Let x = k

Substitute x = k into 1

From 1: -2x + 2y = 2

-x+y = 1

-k + y = 1

y = 1+k

Hence the solution to the system of equation (x, y) is (k, 1 + k) where k is any integer.

The presence of k shows that the equation has many solutions since k can take any value

2) Let a box of popcorn be x

Let the cost of a drink be y

If a customer at a concession stand bought 2 boxes of popcorn and 3 drinks for $12, then;

2x + 3y = 12 ... 1

Also, if another customer bought 3 boxes of popcorn and 5 drinks for $19, then;

3x + 5y = 19 ...2

Solve 1 and 2 simultaneously

2x + 3y = 12 ... 1  * 3

3x + 5y = 19 ...2  * 2

_________________

6x + 9y = 36  

6x + 10y = 38

Subtract

9y - 10y = 36 - 38

-y = -2

y = 2

Recall that 2x + 3y = 12

2x + 3(2) = 12

2x + 6 = 12

2x = 12-6

2x = 6

x = 6/2

x= 3

Hence a box of popcorn cost $3 and a drink cost $2

Answer:

8°

Step-by-step explanation:

The sum of the measures of the exterior angles of a any polygon = 360.

So,  x + 2x + 4x + 5x + 6x + 8x + 9x + 10x = 360

        45x = 360

            x = 8°

The measure of the smallest exterior angle would be equal to 8°

In geometry, a Octagon is a eight - sided polygon. For a [n] sided polygon -

According to the question, we have - A Octagon and the measures of the exterior angles of an octagon are x°, 2x°, 4x°, 5x°, 6x°, 8x°, 9x° and 10x°.

The sum of the exterior angles of the octagon will be 360°.

Therefore, we can write -

x + 2x + 4x + 5x + 6x + 8x + 9x + 10x = 360°

45x = 360°

x = 360/45

x = 8

The smallest exterior angle would be equal to [x]° = 8°

Therefore, the measure of the smallest exterior angle would be equal to 8°

To solve more questions on Polygons, visit the link below -

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Answer:

5

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

It is given that a prism is built that have a volume of 36.

Now if the prism is rebuild with either centimeter cubes or the inch cubes or foot cubes will have the same volume of 36 as the volume here is constant. The centimeter cubes used to build the prism will be smaller in size and will require more of the cubes to build the cube for a volume of 36.

Similarly, if we take inch cubes or the foot cubes, to build a prism having a volume of 36, we need to take less number of the cubes accordingly.

Answer: Never produce a rational numbers

Step-by-step explanation: IT doesnt matter if integers are added, subtracted, multiplied, or divided, intergers will always be integers.

Answer:

Mehmed II

Step-by-step explanation:

Answer:

the second one

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

[tex]\sqrt{144*4}\\\\ \sqrt{576}\\\\ \sqrt{24^2}\\\\\boxed{24}[/tex]

Hope this helps!

Answer:

24 Ans ...

Step-by-step explanation:

Data:

=√144 x 4

Solution:

=√576

=24 Ans ...

Answer:

212121

Step-by-step explanation:

21121212

Answer:

5 erasers for $3.00 is a good price and a good amount of erasers to get but if you get 7 of em' for $3.50 then you will have more but it depends on how much money you have if you have the limited about of only $3.00 then you should get the 5 erasers hope this helps. Have a wonderful day!!

Step-by-step explanation:

Answer:

solve for x: x = 17b/ 5

Solve for b: B= 5x/ 17

hope this helps :)

Answer: 10 miles

Step-by-step explanation:

You can set this up as an equation where x will represent the number of miles charged. So if we know how much the pick up fee is, how much it is per mile and the total charge we can set up the equation as follows:

3.20 + 3x = 33.20

If we solve for x we will find out how many miles she traveled. So to do so we need to get x on one side and the other numbers on the other side of the equal sign. So to begin we'll subtract 3.20 from both sides:

3x = 30.00

and then divide both sides by 3:

x = 10

So she traveled 10 miles.

The Taxi ride was 10 miles.

An equation is an expression that shows the relationship between two or more numbers and variables.

We can set an equation where x will represent the number of miles charged. So, the total charge we can set up the equation as follows:

3.20 + 3x = 33.20

If we solve for x we will find out the miles she traveled.

Then subtract 3.20 from both sides:

3x = 30.00

then divide both sides by 3;

x = 10

Therefore, she traveled 10 miles.

Learn more about equations here;

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Answer:

∠POM and ∠POR

Step-by-step explanation:

Step-by-step explanation:

angle POM and angle QRT

Answer:

i dont know

Step-by-step explanation:

Answer:

(x - 9)(x + 8)

Answer:

I would go with answer B

Step-by-step explanation:

The starting of the decreasing is B and slowly decreases down to C

Answer:

6n^2-8n+2

Step-by-step explanation:

(4n^2-5n+6)+(2n^2-3n-4)

4n^2+2n^2-5n-3n+6-4

6n^2-8n+2

Answer:

6n^2-8n+2

Step-by-step explanation:

cuz I’m smart

Answer:

New price of the ball after discount = $16.65

Step-by-step explanation:

Selling price of the soccer ball = $45

Discount labeled on the ball = 63% off

Therefore, selling price after the discount = Original selling price - %discount

= $45 - (63% of $45)

= $45 - $28.35

= $16.65

New price of the ball after discount = $16.65

Answer:

(A) V = π(8)²h

Answer:

c = 30:2 = 15

x =

[tex] \sqrt{15 {}^{2} } + 33 {}^{2} [/tex]

(its all under square root)

so x = 36,25.. mate it could be wrong on there

Answer:

The value of x=27

Step-by-step explanation:

Answer:

81.692in

Step-by-step explanation:

Given data

Diameter =26in

Radius = 12in

The expression for the circumference is given as

Circumference = 2πr

Substitute

C=2*3.142*13

C=81.692in

Hence the circumference is 81.692in

Answer:

Step-by-step explanation:

Determine the perpendicular bisector of AB:

Slope of AB = (12-6)/(4-14) = -0.6

Midpoint of AB: ((4+14)/2, (12+6)/2) = (9, 9)

Perpendicular bisector: y = -0.6x + 14.4

Determine the perpendicular bisector of AC:

Slope of AC = (12-2)/(4+6) = 1

Midpoint of AC: ((4-6)/2, (12+2)/2) = (-1, 7)

Perpendicular bisector: y = x + 8

Circumcenter is the intersection of the perpendicular bisectors.

x + 8 = -0.6x + 14.4

1.6x = 6.4

x = 4

y = x + 8 = 12

(4,12)

Answer:

36.5

Step-by-step explanation:

255.5/7 = 36.5

Answer:

53&8

Step-by-step explanation:

38-23=15

23+15+15=53

23-15=8