Answer:
The solution of the system of equations is (11, 12)
Step-by-step explanation:
∵ The price of each student ticket is $x
∵ The price of each adult ticket is $y
∵ They sold 3 student tickets and 3 adult tickets for a total of $69
∴ 3x + 3y = 69 ⇒ (1)
∵ they sold 5 student tickets and 3 adults tickets for a total of $91
∴ 5x + 3y = 91 ⇒ (2)
Let us solve the system of equations using the elimination method
→ Subtract equation (1) from equation (2)
∵ (5x - 3x) + (3y - 3y) = (91 - 69)
∴ 2x + 0 = 22
∴ 2x = 22
→ Divide both sides by 2 to find x
∵ 
∴ x = 11
→ Substitute the value of x in equation (1) or (2) to find y
∵ 3(11) + 3y = 69
∴ 33 + 3y = 69
→ Subtract 33 from both sides
∵ 33 - 33 + 3y = 69 - 33
∴ 3y = 36
→ Divide both sides by 3
∵ 
∴ y = 12
∴ The solution of the system of equations is (11, 12)
Answer:
0.96 or .96
Step-by-step explanation:
40 divided by 100 = 0.4 to change the percent to a decimal
and multiply 2.40 to 0.4, 0.4 times 2.40 is 0.96 or .96
Answer:
Step-by-step explanation:
The average number is given by :
[m + (m - 1200) + (m - 1200)(1.30 ] / 3 =
[ 2m + 1.30m - 1200 - 1560] / 3 =
[3.3m - 2760] / 3 =
[1.1 m - 920 ]
Answer:
The salesperson called 200 people this month.
Step-by-step explanation:
Let us denote the total people that the salesperson called by a variable "x".
Then,
The ratio of successful signups(success ratio) is given as=0.625
Then total no. of successful signups is the product of the success rate and the total no. of signups ,
i.e. Total successful signups = 
According to the data given in the question,
The total no. of successful signups this month =125
or , 
or, 
∴x= 200
So, the salesperson called 200 people, out of which only 125 signed up.
Answer:
Step-by-step explanation:
W=2.5, L=x
A=LW=2.5x
P=2(L+W)=2(2.5+x)=5+2x
P=A
5+2x=2.5x
5-0.5x=0
-0.5x=-5
x=10