$A = B \log_x C\\\\\text{Given that,}~~ A = 11, ~B = 4~ C = 190\\\\~~~~~~~~11 = 4 \log_x (190)\\\\\implies \log_x (190) = \dfrac{11}4\\\\\implies x^{\tfrac{11}4} = 190\\\\\implies x = 190^{\tfrac 4{11}}\\\\ \implies x \approx 6.7397$

4 0

2 years ago

A total of 145 tickets were sold to a film showing bringing in a total of $1,153. Two types of tickets were sold: adult tickets

zalisa [80]

Supposing all were child tickets:
145x$5=$725
$1153-$725=$428 (diff. between above price and original price)
$9-$5=$4 (diff. between adult price and child price)
$428÷$4=107 (no. of adult tickets)

Ans: 107

3 0

4 years ago

How do you find the Constant of variation

Harman [31]

If y
y
varies directly as x
x
and y=15
y
=
15
when x=24
x
=
24
, find x
x
when y=25
y
=
25
.

Find the constant of variation.

k=yx=1524=58y=58x k=
y
x
=
15
24
=
5
8
y=
5
8
x
To find x
x
, substitute 25
25
for y
y
.

25=58xx=40

6 0

4 years ago