The pattern is x3 so it's 108
<u>Note: The only way to solve this problem is by adjusting the fees to $3.50 and $7.50.</u>
Answer:
<em>1300 children attended the basketball game</em>
Step-by-step explanation:
System of Equations
Let's call:
x = number of children attending the basketball game
y = number of adults attending the basketball game
On a certain night, 1500 people enter the game, thus:
x + y = 1500 [1]
Since each admission fee for children cost $3.50 and $7.50 for adults and it was collected $6050, thus:
3.50x + 7.50y = 6050 [2]
From [1]:
y = 1500 - x
Substituting in [2]:
3.50x + 7.50(1500 - x) = 6050
Operating:
3.50x + 11250 - 7.50 = 6050
-4x = 6050 - 11250
Solving:
x = 1300
1300 children attended the basketball game
<span>3t – 6t + 8 – 7t = – 2
Simplify and combine Like-Terms
</span><span><span><span>3t + −6t + 8 </span>+ </span>− 7t </span>= <span>−<span>2
</span></span><span><span>(<span><span>3t+<span>−6t</span></span>+<span>−7t</span></span>) </span>+ (8) </span>= <span>−<span>2
</span></span><span><span>−10t </span>+ 8 </span>= <span>−<span>2
Subtract 8 from each side
</span></span><span><span><span>−<span>10t </span></span>+ 8 </span>− 8 </span>= <span><span>−2 </span>− <span>8</span></span>
-10t = -10
Divide each side by -10
-10t ÷ -10 = -10 ÷ -10
t = 1
Answer:
k=13t/t+6
Step-by-step explanation:
kt=13t−2k(3)
Step 1: Add 6k to both sides.
kt+6k=−6k+13t+6k
kt+6k=13t
Step 2: Factor out variable k.
k(t+6)=13t
Step 3: Divide both sides by t+6.
k(t+6)t+6=13tt+6
k=13t/t+6
