x is the number of student tickets and y is the number of adult tickets sold. we now that a total of 846 tickets were sold so x+y=846=>x=846-y. we also now that their worth was 3 846usd so 3*x+6*y=3846. we substitute x and are left with the following equation:3x+6*(846-x)=3846

5076-3x=3846

3x=1230

x=410

=>y=846-410=436

4 0

3 years ago

In a circle of diameter 30 cm a chord of 10cm is drawn. To 2 decimal places, how far is the chord from the center of the circle?

Romashka-Z-Leto [24]

<u>Given:</u>

The circle has a diameter of 30 cm and a chord of 10 cm is drawn.

Radius of the circle = 15 cm

Half of the chord = 5 cm

We need to determine the distance of chord from the center of the circle.

<u>Distance of chord from the center of the circle:</u>

Let us use the Pythagorean theorem, to find the distance between the center and the chord.

Let d denote the distance between the center and the chord of the circle.

Thus, we get;

$15^2=d^2+5^2$

$225=d^2+25$

$200=d^2$

Taking square root on both sides, we get;

$14.14=d$

Thus, the distance between the center and the chord of the circle is 14.14 cm.

Hence, Option A is the correct answer.

4 0

3 years ago

Log base 2 (1/4) ...?

liubo4ka [24]

Log ( base 2 ) ( 1 / 4 ) =
= log ( base 2 ) ( 2 ^(-2 ) ) =
= - 2 log ( base 2 ) 2 = ( because : log x^n = n log x )
= ( - 2 ) * 1 = ( because: log (base x) x = 1 )
= - 2

5 0

3 years ago

in a box of doughnuts, 4/7 of the doughnuts are chocolate and the rest are filled with jam. what is the ratio of chocolate dough

Lina20 [59]

The answer to the question is 4:3

6 0

3 years ago