Answer:
Step-by-step explanation:
Change 2/5 to a decimal
2/5 = 0.4
Change 1 2/15 of a fluid ounce to a decimal.
1.133333
Set up your proportion.
0.4 / 1.133333 = x / 5 Cross multiply
0.4*5 = 1.133333*x
2 = 1.133333 x Divide by 1.1333333
2/1.33333 = x
x = 1.5 ounces.
He needs 1.5 ounces of red to make 5 ounces of purple.
Answer:
x = 5, x = 1
Step-by-step explanation:
The quadratic equation 0 = 4(x - 3)2 - 16.
Using binomial theorem, (a - b)2 = a2 - 2ab + b2 to expand (x - 3)2.
0 = 4(x2 - 6x + 9 ) - 16.
Using distributive property to multiply 4 by x2 - 6x + 9.
0 = 4x2 - 24x + 36 - 16.
Subtract 16 from 36 to get 20.
0 = 4x2 - 24x + 20.
4x2 - 24x + 20 = 0.
Divide both sides by 4.
x2 - 6x + 5 = 0.
To solve the equation, factor and rewrite as x2 + ax + bx + 5
a + b = -6, ab = 1(5) = 5.
a = -5, b = -1.
Rewriting x2 - 6x + 5 as
(x2 - 5x) + (-x + 5)
Factor x in the first and -1 in the second group.
x(x - 5) - (x - 5)
Factor out common term
(x - 5)(x - 1)
By solving the above, we get
x = 5, x = 1
Hope this is what you are looking for
Answer:
84 has 12 factors: 1, 84; 2, 42; 3, 26; 4, 21; 6, 14; 7, 12.
96 has 12 factors: 1, 96; 2, 48; 3, 32; 4, 24; 6, 16; 8, 12.
