7x-8 (2) = 12x+8
14x-16 = 12x+8
-12x -12x
2x-16 = 8
+16 +16
2x = 24
÷2 ÷2
x= 12
UV= 7x-8
UV= 7(12)-8
UV= 84-8
UV= 76
Answer:
76
Step-by-step explanation:
given a quadratic equation in standard form : ax² + bx + c = 0 : a ≠ 0
then the discriminant is Δ = b² - 4ac
given 3x² - 10x = - 2 ( add 2 to both sides )
3x² - 10x + 2 = 0 ← in standard form
with a = 3, b = - 10 and c = 2
b² - 4ac = (- 10)² - (4 × 3 × 2) = 100 - 24 = 76
equation for first figure=2x+y=2
equation for second figure= 4x-y=8
(use formula x/a+y/b=1)
where, a=x component and b= y component..
Answer:the number of kids that used the public pool that day is 122
the number of adults that used the public pool that day is 92
Step-by-step explanation:
Let x represent the number of kids that used the public pool that day.
Let y represent the number of adults that used the public pool that day.
214 people used a public swimming pool. This means that
x + y = 214
1.50 for kids and $2.25 for adults. The receipt totaled to $390. This means that
1.5x + 2.25y = 390 - - - - - - - - - -1
Substituting x = 214 - y into equation 1, it becomes
1.5x
1.5(214 - y) + 2.25y = 390
321 - 1.5y + 2.25y = 390
- 1.5y + 2.25y = 390 - 321
0.75y = 69
y = 69/0.75 = 92
Substituting y = 92 into x = 214 - y, it becomes
x = 214 - 92 = 122