You have to multiply them
Answer:
-6/5
Step-by-step explanation:
Answer:
<u>Part 1:</u> Angle = 154.3°
<u>Part 2:</u> About 2.33 Rotations
Step-by-step explanation:
Part 1:
The arc length of a circle is given by the formula 
Where
- s is the arc length
- r is the radius of the circle
is the angle
**The angle are in radians and we will use radian**
When smaller gear has made 1 complete rotations (
radians), the arc length traveled is 
Now, what angle is swept by the larger circle when it travels
? Put in
and r is 7 to find
:

** Since
radians is 180°, we plug in 180 into
and find the degree measure:

Angle = 154.3°
Part 2:
In one complete rotation of the larger gear, it travels a distance of:

We know that the smaller circle makes 1 rotation and travels
, so in
distance, it makes:
Rotations = 
About 2.33 Rotations
<em>An adult ticket costs $205 and a child ticket costs $49.</em>
<h2>
Explanation:</h2>
Hello! Recall you have to write complete questions in order to find exact answers. Here I'll assume the complete question as:
<em>Two families are planning a trip to Disney. The Smith family bought tickets for 2 adults and 3 children for $557. The Jones family bought tickets for 2 adults and 1 child </em><em>for $459</em><em>. How much does and adult and child ticket cost?</em>
To solve this problem, we need to write a system of linear equations in two variables. So, we know some facts:
- Two families are planning a trip to Disney.
- The Smith family bought tickets for 2 adults and 3 children for $557.
- The Jones family bought tickets for 2 adults and 1 child for $459.
Let:

For the Smith family:
Cost for the 2 adults:

Cost for the 3 children:

Total cost:

For the Jones family:
Cost for the 2 adults:

Cost for the 1 child:

Total cost:

So we have the following system of linear equations:

Subtracting (2) from (1):

Finally, <em>an adult ticket costs $205 and a child ticket costs $49.</em>
<em></em>
<h2>Learn more:</h2>
System of linear equations: brainly.com/question/13799715
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