42 Ornaments- 28 Blue ornaments = 14 Red Ornaments
Ratio of Red to Blue 14:28
Which can be simplified to 1:2
Answer:
1) (x + 4)(x - ½) = 0
4x² + 16x = 0
2) 0.25x² + 0.8x - 8 = 0
3x² - 4x = 15
Step-by-step explanation:
1) (x + 4)(x - ½) = 0
x = -4, ½
4x² + 16x = 0
4x(x + 4) = 0
x = 0, -4
2) (x - 6)(x + 9) = 0
x = 6, -9
(x - 1)² = 4
(x - 1)² - (2)² = 0
(x - 1 - 2)(x - 1 + 2) = 0
(x - 3)(x + 1) = 0
x = 3, -1
These two are easier to solve using product = 0 property, while the other two would be easier using the quadratic formula
That technique for solving equations is: Whatever you do to one side of the equation, you have to do to the other side to preserve the equality The technique for solving inequalities is: Whatever you do to one side of the inequality, you have to do to the other side to preserve the inequality. the techniques are the same. The difference between solving equations and solving inequalities is: If you multiply or divide an inequality by a negative number, then the inequality reverses. !!!!!
3a) Answer: 84 degrees
Step-by-step explanation:
3x + 2(x+20)= 180 (total sum of angles in a triangle is 180 degrees)
5x+40 = 180
5x = 140
x= 28
3x= 28 x 3
= 84
Answer:
28 eggs
Step-by-step explanation:
It takes a hen and a half to lay an egg and a half in a day and a half - this means it takes 1 hen to lay 1 egg in a day and a half. Therefore, 1 hen will lay 4 eggs in 6 days, and 7 hens will lay 28 eggs in 6 days.
