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3 years ago

A cinema sold 1000 tickets on a Saturday evening. Adult tickets cost £9, children's

Mathematics

1 answer:

Alla [95]3 years ago

3 0

Answer:

Step-by-step explanation:

a + c = 1000

9a + 5c = 6680

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

9a + 9c = 9000

9a+ 5c = 6680

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

4c = 2320

c = 580

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

a+ 580 = 1000

a = 420

A = 420

C = 580

If you substitute the numbers into 9a + 5c = 6680, that should give you the right answer.

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What is n if the equation is

Andrej [43]

N - 2 / - 3 = - 6 (1) multiply both sides by -3 to get n - 2 alone
n - 2 = 18 (2) add 2 to both sides; 2 on left side gets cancelled so we can now have n all alone
n = 20

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3 years ago

Is the book at rest or in motion

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The book is in motion. Hope this answers your question!

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3 years ago

The width of a rectangle is 2x + 4 and the length of the

iren [92.7K]

Given:

Width of a rectangle = $2x+4$

Length of the rectangle = $6x+12$

To find:

The ratio of the width to the length.

Solution:

We need to find the ratio of the width to the length.

$\text{Required Ratio}=\dfrac{\text{Width}}{\text{Length}}$

Putting the given values, we get

$\text{Required Ratio}=\dfrac{2x+4}{6x+12}$

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$\text{Required Ratio}=\dfrac{2}{6}$

$\text{Required Ratio}=\dfrac{1}{3}$

$\text{Required Ratio}=1:3$

Therefore, the ratio of the width to the length is 1:3.

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3 years ago

A school principal plans to form teams from 126 third-graders, 180 fourth-graders, and 198 fifth-graders so that there is the sa

marissa [1.9K]

Answer:

There are 9 teams possible each having 14 third-graders, 20 Fourth-graders, 22 Fifth-graders

Step-by-step explanation:

126 third-graders

180 fourth-graders

198 fifth-graders

Find the highest common factor of 126, 180, 198

Factors of 126: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126.

Factors of 180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Factors of 198: 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198.

The highest common factor of 126, 180, 198 is 9

The largest possible number of teams that can be formed is 9

Each team has

third-graders = 126 / 9

= 14

Fourth-graders = 180 / 9

= 20

Fifth-graders = 198 divided by 9

= 22

There are 9 teams possible each having 14 third-graders, 20 Fourth-graders, 22 Fifth-graders

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3 years ago

#17. Use the number line below to model 6: 3/4.#18. What is the quotient 6: 3/4?

riadik2000 [5.3K]

18. Let's start by finding the ratio, since this will make it easier to model it on the number line.

We can write 6 as

$\frac{6}{1},$

$\frac{6}{1}\div\frac{3}{4}=\frac{\frac{6}{1}}{\frac{3}{4}}\text{.}$

In order to do a division of fractions, we multiply both ends of the operation and put the result in the numerator, and then we multiply the two numbers in the middle and put them in the denominator:

$\frac{\frac{6}{1}}{\frac{3}{4}}=\frac{6\cdot4}{1\cdot3}=\frac{24}{3}=8.$

In other words, the quotient is 8.

17. Now that we know the result of the operation, we simply mark the 8 on the number line:

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1 year ago