Answer:
x= 26°
Step-by-step explanation:
it's a 90 degree angle as a whole so just subtract 64° from 90° to get the other angle.
Answer:
number of adults tickets sold = x = 90
number of teachers tickets = y = 45
number of students tickets = z = 145
Step-by-step explanation:
Cost of tickets
Adults = $6
Teachers = $4
Students = $2
Total tickets sold = 280
Total revenue = $1010
Let
x = number of adults tickets
y = number of teachers tickets
z = number of students tickets
x + y + z = 280
6x + 4y + 2z = 1010
If the number of adult tickets sold was twice the number of teacher tickets
x = 2y
Substitute x=2y into the equations
x + y + z = 280
6x + 4y + 2z = 1010
2y + y + z = 280
6(2y) + 4y + 2z = 1010
3y + z = 280
12y + 4y + 2z = 1010
3y + z = 280 (1)
16y + 2z = 1010 (2)
Multiply (1) by 2
6y + 2z = 560 (3)
16y + 2z = 1010
Subtract (3) from (2)
16y - 6y = 1010 - 560
10y = 450
Divide both sides by 10
y = 450/10
= 45
y = 45
Substitute y=45 into (1)
3y + z = 280
3(45) + z = 280
135 + z = 280
z = 280 - 135
= 145
z = 145
Substitute the values of y and z into
x + y + z = 280
x + 45 + 145 = 280
x + 190 = 280
x = 280 - 190
= 90
x = 90
Therefore,
number of adults tickets sold = x = 90
number of teachers tickets = y = 45
number of students tickets = z = 145
Ok I got 2,131 I hope that helps!
2
n
−
7
=
19
Explanation:
Well first we should look at the part that says "twice a number"
This number can be anything so let's assign a variable to it
Let
n
=
a number
And we also see at the end "twice a number equals 19"
So we get
2
n
=
19
Then we see that "Seven less than"
2
n
all equals
19
So we get
2
n
−
7
=
19
Now if you would want to solve this equation you first add
7
to both sides and we get
2
n
=
26
Then we divide both side by
2
So
n
=
13
