A total of 120,000 votes were cast for 2 opposing candidates, Garcia and Pérez. If Garcia won by a ratio of 5 to 3, what was the number of votes cast for Pérez?

Answers

Answer 1

Answer: Total votes = 120,000
Gracia won by a ratio of 5 : 3
so, total votes earned by Gracia = 5/8 * 120,000 = 75000

So, number of votes cast for Pérez = (120000 - 75000)
=

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Simplify (-3)⁴x(7)⁴

Answers

Answer:

194481

Step-by-step explanation:

(-3)⁴ × (7)⁴

= 81 × 2401

= 194481

Verify the identity
Cos^2x-Sin^2x=1-2sin^2x

Answers

$cos^2x-sin^2x=1-2sin^2x\n\n\nR=1-2sin^2x=cos^2x+sin^2x-2sin^2x=cos^2x-sin^2x=L\n\n\n\n\nsin^2x+cos^2x=1$

(x/3)+5=2x-70
solve for x
what are the steps

Answers

(x/3)+5=2x-70
3[(x/3)+5]=[2x-70]3
x+15=6x-210
+210 +210
x+225=6x
-x -x
5x=225
x=45

$(x)/(3)+5=2x-70\ \ \ \ \ \ |\cdot3\n\nx+15=6x-210\ \ \ \ |combine\ like\ terms\n\nx-6x=-210-15\ \ \ \ |simplify\n\n-5x=-225\ \ \ \ \ \ \ |:-5\n\nx=45$

Find the value or values of the Y in the quadratic equation y squared + 4 y + 4 equals 7

Answers

y² + 4y + 4 = 7
   - 7 - 7
y² + 4y - 3 = 0
   y = -(4) ± √((4)² - 4(1)(-3))
   2(1)
   y = -4 ± √(16 + 12)
   2
   y = -4 ± √(28)
      2
   y = -4 ± 2√(7)
      2
   y = -2 ± √(7)
   y = -2 + √(7) U y = -2 - √(7)

How far away would you need to place the ladder