Answer:
135 Adult tickets and 70 Child tickets sold
Step-by-step explanation:
135*10 (adult ticket price) = 1,350
70*3 (child ticket price) = 210
$1,350 + $210 = $1,560
135 + 70 = 205 tickets sold
Answer:1.079
Step-by-step explanation:
We know that log a +log b = logab
Using this rule, we will find log12.
Log6 + log2= log12
.778 + .301 = 1.079
Answer:
Step-by-step explanation:
Cos(Ф) = Adj / Hyp
Cos(Ф) = Adj / 5
use Pythagoras's
= 
+
25 - 4 =
21 =
= x
Cos(Ф) = / 5
(using the square root means the answer is exact. so leave it like that.)
Answer: The numbers are 4 and 6.
Step-by-step explanation:
Let one number be represented as
x
and the other as
y
.
According to the problem:
x
=
2
3
y
and
x
+
y
=
10
From the second equation we get:
x
+
y
=
10
∴
y
=
10
−
x
(subtracting
x
from both sides)
Replacing the value of
y
in the first equation we get:
x
=
2
3
y
x
=
2
3
(
10
−
x
)
Multiplying both sides by
3
we get:
3
x
=
2
(
10
−
x
)
Opening the brackets and simplifying we get:
3
x
=
20
−
2
x
Add
2
x
to both sides.
5
x
=
20
Divide both sides by
5
.
x
=
4
Since from the second equation we have:
x
+
y
=
10
substituting
x
with
4
we get:
4
+
y
=
10
Subtract
4
from both sides.
y
=
6
(5,2) is the answer
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