Johnny is selling tickets to a school play. On the first day of ticket sales he sold 14 senior (S) citizen tickets and 4 child (C) tickets for a total of $200. On the second day of ticket sales he sold 7 senior (S) citizen tickets and 1 child (C) ticket for a total of $92. What is the price of one child ticket?
14S + 4C = 200
14S = 200 - 4C
S = (200 - 4C)/14
7S + 1C = 92
7S = 92 - C
S = (92 - C)/7
(200 - 4C)/14 = (92 - C)/7
7 x (200 - 4C) = 14 x (92 - C)
1400 - 28C = 1288 - 14C
1400 - 1288 = 28C - 14C
112 = 14C
C = 112/14 = 8
the price of one child ticket = $8
9a + (9t+27)=x
To write it another way you could flip the numbers around:
(9t+27)+9a=x
Or flip the variable to the other side.
x=9a + (9t+27)
Any way you put the numbers as long as x is on the either side, you will get the same answer.
Hope this helps!
Answer:
P____Q____R
PR= PQ+ QR
(14x-13) = (5x-2)+(6x+1)
14x-13= 11x – 1
14x – 11x = 13–1
3x = 12
x= 12/ 3
x= 4
PR= 14x – 13 = 14 (4) – 13 = 18 – 13= 5
If you want (PQ , QR ) this is the solution
PQ =5x-2=5(4)-2=20-2=18
QR =6x+1=6(4)+1=24+1=25
I hope I helped you^_^
(In the picture, QRST looks like a rhombus, so I will assume that it is a rhombus.)
In a rhombus, opposite angles are congruent based on the alternate interior angle theorem. In other words, R and T along with Q and S are both alternate interior angle pairs.
(You can actually test this by printing out a rhombus, cutting out the angles, and matching up the opposite ones.)
We know that Q is equal to 4x + 10, but we need to solve for x. Since Q and S are congruent, we can set them equal to each other:
1) 4x + 10 = 5x - 3
2) 4x + 13 = 5x
3) 5x = 4x + 13
4) x = 13
Now let's plug 13 in for Q:
5) 4(13) + 10 = 52+10 = 62
I got m<Q = 62 degrees. Hope this helps!
Answer:
See explanation
Step-by-step explanation:
The question is incomplete, however, one of the requirements of this question while I searched, was to make a table and sketch the equation.
If this is the case, then, all you need to do is take the equation, Assume some values for x, and compute the values of y. Then, you can do the graph.
I begin with value from 0 to 10.
This is the example of calculations:
x = 0
y = 18.25*0 = 0
for x = 0, we get y = 0. For x = 2:
y = 18.25 * 2 = 36.5
If we keep doing this, we should get a straight line. See the graph and attached table. If the question is asking another thing, then please get back to me to answer it.
