t = 15 + x and t = 5 + 2x represents the system of equations for this real world situation
<em><u>Solution:</u></em>
<em><u>Workout Gym has a sign up fee of $15 and charges $1 per day for membership</u></em>
Therefore,
Sign up fee = $ 15
Charge per day = $ 1
Let "x" be the number of days charged for membership
Let "t" be the total charge for membership
<em><u>Thus, we frame a equation as:</u></em>
Total fee = sign up fee + charge per day (number of days)
Total fee = 15 + 1(x)
t = 15 + x ------- eqn 1
<em><u>Healthy Gym has a $5 sign up fee and charges a $2 daily fee</u></em>
Sign up fee = $ 5
Charge per day = $ 2
Let "x" be the number of days charged for membership
Let "t" be the total charge for membership
<em><u>Thus, we frame a equation as:</u></em>
Total fee = sign up fee + charge per day (number of days)
t = 5 + 2(x)
t = 5 + 2x ------- eqn 2
Thus eqn 1 and eqn 2 represent the system of equations for this situation
Answer:
Step-by-step explanation:
Answer:
40/49
Step-by-step explanation:
probability that a point chosen at random in the given figure will be inside the larger circle and outside the smaller circle = ( area larger circle - area of smaller circle / area of larger circle )
area of a circle = πr² where r = radius
area of smaller circle :
radius = 6
==> plug in 6 for r
A = π(6)²
==> evaluate exponent
A = 36π
Area of larger circle :
Radius = 14
==> plug in 14 for r
A = π(14)²
==> evaluate exponent
A = 196π
We have probability = area larger circle - area of smaller circle / area of larger circle
area of larger circle = 196π
area of smaller circle = 36π
probability = (196π - 36π)/196π
==> subtract 36 from 196
probability = 160π/196π
==> simplify fraction and cancel out π
probability = 40/49
The coefficient of the term 13a is 13
The coefficient of 6b in expression is a + 6b is 6
<em><u>Solution:</u></em>
<em><u>Given expression is:</u></em>
13a + 6b
We have to find the coefficient of 13a
The coefficients are the numbers that multiply the variables or letters
Here in 13a , a is the variable that is multiplied with number 13
Thus the coefficient of the term 13a is 13
<em><u>Second expression:</u></em>
a + 6b
Here, in 6b , b is the variable that is multiplied with number 6
so 6 is the coefficient
