Answer:
42 inches
Step-by-step explanation:
1 foot is 12 inches
12 times 3=36
12 divided by 2=6
36+6=42
Answer:
Part 1) 
Part 2) The equation satisfy the set of coordinates (see the explanation)
Step-by-step explanation:
step 1
Find the linear equation
The rule for the linear equation states that y is three more than twice x.
so
The variable y is equal to the number 2 multiplied by x plus the number 3
step 2
Prove that the equation satisfies the set of coordinates
substitute the value of x and the value of y in the linear equation and then compare the results
a) (-1, 1)
----> is true
so
The equation satisfy the ordered pair
b) (0, 3)
----> is true
so
The equation satisfy the ordered pair
c) (-1/3,7/3)
----> is true
so
The equation satisfy the ordered pair
therefore
The equation satisfy the set of coordinates
On = 38 - 9n
Step-by-step explanation:
Note the common difference d between
consecutive terms
d= 20 - 29 = 11 - 20 = - 9
This indicates the sequence is arithmetic with n
th term
On
= apt (n - 1)d
where a, is the first term and d the common
difference
Here a, = 29 and d=- 9, thus
An = 29 - 9 (n - 1) = 29 - 9n + 9 = 38 - 9n
Exterior angle=sum of interior angles
so 89+5x-7=14x+1
solve for x and plug the value into 5x-7 and you'll get m
Answer:
196 tickets
Step-by-step explanation:
The total expenses to put on a 3-day production of a play is $980. Each ticket to go and watch the play is going to be sold for $5. The producer sells x number of tickets, x number of tickets would cost 5x. Therefore to find the number of tickets the producer must sell so as to make a profit the money generated from selling the tickets must be more than the cost of production. Therefore we use the formula:
5x ≥ 980
Dividing through by 5:
x ≥ 980
x ≥ 980/5
x ≥ 196
Therefore the producer must sell at least 196 tickets so as to make a profit
