15 8/9 less than the product of 2 and a number y expression

Mathematics

1 answer:

timurjin [86]2 years ago

8 0

Answer:

Step-by-step explanation:

does it come with an example?

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A theater sells adult tickets and student tickets. A total of 165 tickets are sold and the ratio of adult tickets sold to studen

Dmitry [639]

Answer:

88 adult tickets and 77 student tickets were sold.

Step-by-step explanation:

Let the number of adult tickets sold be 8x and the number of student tickets sold be 7x.

adult tickets + student tickets = 165 tickets

8x + 7x = 165

15x = 165

x = 165 ÷ 15

= 11

No. of adult tickets sold (8x) = 11 × 8

= 88

No. of student tickets sold (7x) = 11 × 7

= 77

5 0

2 years ago

Read 2 more answers

Quadrilateral A’B’C’D’ is a dilation of quadrilateral ABCD about point P. Quadrilateral ABCD is shown. Side AB is labeled 5. Sid

Stolb23 [73]

Answer: The correct option is (A) reduction.

Step-by-step explanation: Given that the quadrilateral A'B'C'D' is a dilation of the quadrilateral ABCD.

As shown in the given figure, the lengths of the sides of quadrilateral ABCD are as follows:

AB = 5 units, BC = 4 units, CD = 10 units and DA = 6 units.

And, the lengths of the sides of quadrilateral A'B'C'D' are as follows:

$A'B'=1\dfrac{1}{4}=\dfrac{5}{4}~\textup{units},~~B'C'=1~\textup{units},~~C'D'=2\dfrac{1}{2}=\dfrac{5}{2}~\textup{units},\\\\D'A'=1\dfrac{1}{2}=\dfrac{3}{2}~\textup{units}.$

We know that the dilation will be an enlargement if the scale factor is greater than 1 and it will be a reduction if the scale factor is less than 1.

Now, the scale factor is given by

$S=\dfrac{\textup{length of a side of the dilated figure}}{\textup{length of the corresponding side of the original figure}}\\\\\\\Rightarrow S=\dfrac{A'B'}{AB}=\dfrac{\frac{5}{4}}{5}=\dfrac{5}{4\times5}=\dfrac{1}{4}$