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ale4655 [162]
3 years ago
6

The ticket price for an ice hockey match used to cost £19.60. The price has now increased by 12.5%. How much will 2 tickets cost

after the increase?
Mathematics
1 answer:
Amanda [17]3 years ago
8 0

Answer:

The 2 tickets will cost £44.10 after the increase.

Step-by-step explanation:

First, you have to multiply £19.60 by 12.5% to find the increase in the cost of tickets.

19.60(0.125)=2.45

Add the price increase to the original cost to find the new cost of each ticket.

19.60+2.45=22.05

Multiply the result by 2 since you have to look for the cost of the 2 tickets.

22.05(2)=44.10

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Zepler [3.9K]

Garrick's measurement was 2 mm off. (10 - 8 = 2)

Zan's measurement was 12 mm off. (100 - 88 = 12)

Garrick's percent error was 20% (2 / 10 x 100)

Zan's percent error was 12% (12 / 100 x 100)

5 0
3 years ago
Ab is 10. 8 units long if ABC is dilated by a scale factor of k equals 1.3 what is the length of a'b'
Marizza181 [45]
ANSWER


The length of

A'B'=14.04 \: units

EXPLANATION

The object length given to us is,

|AB|=10.8 \: units

The scale factor of the dilation is,

k = 1.3

The image length can be calculated using the formula

|A'B'| = k \times  |AB|

We substitute the given values into the formula to get,

|A'B'| = 1.3\times 10.8


We multiply out to obtain,

|A'B'| = 14.04 \: units
7 0
3 years ago
For vectors u= (3,4) and v= (1,3) find CompuV and the angle between u and v.
vampirchik [111]

Answer:

The angle between the given vectors u and v is \theta=cos^{-1}\left[\frac{3}{\sqrt{10}}\right]

Step-by-step explanation:

Given vectors are \overrightarrow{u}=(3,4) and \overrightarrow{v}=(1,3)

Now compute the dot product of u and v:

\overrightarrow{u}.\overrightarrow{v}=(3,4).(1,3)

  =(3)(1)+(4)(3)

  =3+12

 =15

Now find the magnitude of u and v:

|\overrightarrow{u}|=\sqrt{3^2+4^2}

=\sqrt{9+16}

=\sqrt{25}

=5

|\overrightarrow{u}|=5

|\overrightarrow{v}|=\sqrt{1^2+3^2}

=\sqrt{1+9}

=\sqrt{10}

|\overrightarrow{v}|=\sqrt{10}

To find the angle between the given vectors

\overrightarrow{u}.\overrightarrow{v}=|\overrightarrow{u}|\overrightarrow{v}|cos\theta

\theta=cos^{-1}\left[\frac{\overrightarrow{u}.\overrightarrow{v}}{|\overrightarrow{u}|\overrightarrow{v}|}\right]

=cos^{-1}\left[\frac{15}{5\times \sqrt{10}}\right]

=cos^{-1}\left[\frac{15}{5\times \sqrt{10}}\right]

\theta=cos^{-1}\left[\frac{3}{\sqrt{10}}\right]

Therefore the angle between the vectors u and v is

\theta=cos^{-1}\left[\frac{3}{\sqrt{10}}\right]

3 0
3 years ago
A square pyramid has a heighth and a base with side length b. The side lengths of the base increase by 50%. Write a simplified e
lubasha [3.4K]

Answer: 54

Step-by-step explanation:

8 0
3 years ago
A stadium has 50 comma 00050,000 seats. Seats sell for ​$3030 in Section​ A, ​$2424 in Section​ B, and ​$1818 in Section C. The
Mariulka [41]

A= B+C

As given, A+B+C = 50000 seats

A+(B+C) = 50000

2A = 50000

A= 25000 seats

Now section A sells seats at $30 each

So, 25000\times30=750000

Now, B+C = 25000

B = 25000-C

B sells at $24 and C sells at $18

So, 24B+18C = 538800

Now as section A incurs an amount of $750000 from booking, so B and C will incur 1288800-750000 = 538800 where $1288800 is the total booking amount.

24B+18C = 538800

24(25000-C)+18C=538800

600000-24C+18C=538800

6C = 61200

C = 10200

Now, B = 25000-C

B = 25000 - 10200 = 14800

Hence, section A has 25000 seats

Section B has 14800 seats

Section C has 10200 seats




5 0
4 years ago
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