The answer to (r -3s2t)4 is 4r- 24st
Answer:
Student ticket: $2
Adult ticket: $5
Step-by-step explanation:
1. Setting up the system of equations
let x be the cost for a child
let y be the cost for an adult
For the monday, that would be:
33x + 42y = 276
For the tuesday, you ahve
46x + 40y = 292
2. Solving
First, simplify each equation
33x + 42y = 276
To get all the numbers smaller divide both sides by 3
11x + 14y = 92
Do the same for the other equation:
46x + 40y = 292
divide both sides by 2
23x + 20y = 146
You want to use elimination, so take the equation 11x + 14y = 92 and multiply both sides by 10
110x + 140y = 920
Take the equation 23x + 20y = 146 and multiply both sides by 7
161x + 140y = 1022
Subtract the two equations:
110x + 140y = 920
- (161x + 140y = 1022)
-51x = -102
divide both sides by -51
x = 2
Plug this into the original equation, 11x + 14y = 92:
11 * 2 + 14y = 92
22 + 14y = 92
subtract 22 from both sides
14y = 70
divide both sides by 14
y = 5
So the cost of a student ticket is $2 and the cost of an adult ticket is $5
Step-by-step explanation:
x - 5 < 2 (y - 8) • 1/4
x - 5 < (y - 8) / 2
2 (x - 5) < y - 8
2x - 10 < y - 8
2x - 10 + 8 < y
y > 2x - 2
graph 2x - 2 and shade the section above
Answer:
where is the graph if you can put it i will give you the answer
Step-by-step explanation:
1) EF = 2 and DF = 4
2) KL = 4√3 and JL = 8
3) ST = 6 and RS = 6√3
4) PQ = 4.5√3 and RQ = 4.5
<u>Step-by-step explanation</u>:
<u>Rules for special triangles 30°,60°,90°</u> :
- The length of the side opposite to 30° is a.
- The length of the side opposite to 60° is a√3.
- The length of the side opposite to 90° is 2a.
1) DE = 2√3 is opposite to 60°
⇒ 2√3 = a√3
⇒ a = 2
EF = a which is opposite to 30°.
⇒ EF = 2
DF = 2a which is opposite to 90°.
⇒ DF = 4
2) KJ = 4 is opposite to 30°
⇒ a = 4
KL = a√3 which is opposite to 60°.
⇒ KL = 4√3
JL = 2a which is opposite to 90°.
⇒ JL = 8
3) RT = 12 is opposite to 90°
⇒ 2a = 12
⇒ a = 6
ST = a which is opposite to 30°.
⇒ ST = 6
RS = a√3 which is opposite to 60°.
⇒ RS = 6√3
4) PR = 9 is opposite to 90°
⇒ 2a = 9
⇒ a = 4.5
PQ = a√3 which is opposite to 60°.
⇒ PQ = 4.5√3
RQ = a which is opposite to 30°.
⇒ RQ = 4.5