Answer:
750 minutes
Step-by-step explanation:
Let the number of minutes be represented as x
1 cent = 0.01
Beetle cellular offers cellular phone service for 39.95 a month plus one cent a minute.
$39.95 + 0.01x
Salamander digital offers cellular phone service for 9.95 a month plus five cents a minute.
$9.95 + 0.05x
How many minutes would a person need to use a month for beetle cellular to cost the same as salamander digital?
This is calculated as:
Beetle cellular = Salamander digital
$39.95 + 0.01x = $9.95 + 0.05x
Collect like terms
$39.95 - $9.95 = 0.05x - 0.01x
$30.00 = 0.04x
x = $30.00/0.04
x = 750 minutes
A person need to use 750 minutes a month for beetle cellular to cost the same as salamander digital.
The first step in solving this question is to split the journey into 2 parts. In the first part of the journey,
miles are covered at a speed of 40 mph. In the second part the journey 5 miles are covered at a speed of 60 mph.
The equation to compute the time of a journey given the speed and distance is
where
is the time,
is the speed and
is the distance.
The time for the first part of the journey is calculated as shown below,
.
The time for the second part of the journey is calculated as follows,
.
The total time is the sum of the times taken to cover each part of the journey and is calculated as shown below,

The time to cover the journey is a third of an hour or 20 minutes.
Answer:
3
Step-by-step explanation:
The set contains only vowels
3 (2x + 4y - y) Combine like terms (4y and -y)
3 (2x + 3y) Use the Distributive Property [(3 · 2x) + (3 · 3y)]
6x + 9y