Answer: an adult ticket cost $8 and a student ticket cost $4
Step-by-step explanation:
Let x represent the cost of one student ticket.
Let y represent the cost of one adult ticket.
A drama club earns $1040 from a production. It sells a total of 64 adult tickets and 132 student tickets. It means that
132x + 64y = 1040 - - - - - - - - - -1
An adult ticket costs twice as much as a student ticket. It means that
y = 2x
Substituting y = 2x into equation 1, it becomes
132x + 64 × 2x = 1040
132x + 128x = 1040
260x = 1040
x = 1040/260 = 4
y = 2x = 2 × 4
y = 8
Answer:
y=2
x=3
Step-by-step explanation:
make x - y = 1 into x= y + 1
put that wherever x is in the other equation
so y + 1 + 2y =7. then combine like terms into 3y =6. then divide 6 by 3 so you get y = 2
then substitute 2 into the y in the equation x - y = 1 and you get x = 3
Answer:

Step-by-step explanation:
You can use Summation Notation as a pattern to evaluating "20 + 30 + 40 + 50 + 60 + 70 + 80":

I am joyous to assist you anytime.
a) To find the missing side length on triangle A, we can use the Pythagorean theorem.
a^2 + 12^2 = 13^2
a^2 + 144 = 169
a^2 = 25
a = 5 cm
5 and 12 = 5 and 12
b) The two triangles are congruent because they have two side lengths in common. If at least two side lengths are the same on two triangles, then they are congruent. In addition, these triangles have one angle in common as well.
Hope this helps!! :)
Answer:
Mary is 7
Step-by-step explanation:
If their ages combined equals 21 and john is twice Mary’s age then johns age takes up 2/3 of 21. that would b 14. 14 is 2 x 7. and Mary is 7. 14+7=21. Mary is 7 years old