Answer: 21 quarts of blue paint
Step-by-step explanation: To make a batch of purple paint, it is necessary 2 quarts of red and 3 quarts of blue, resulting in 5 quarts of purple.
So, to make 35 quarts of purple:
5x = 35
x = 7
It is needed, in total, 7 quarts of purple.
As, the ratio is 2 quarts of red to 3 quarts of blue:
Blue: 7 x 3 = 21
For 35 quarts of purple paint, it's necessary 21 quarts of blue paint.
Answer:
<em>cos a = -1.28 and 0.78</em>
Step-by-step explanation:
The question is not properly written. This is the correct question:
If sina×tan(a) = 1/2, find cosa
According to trigonometry identity;
tan a = sina/cosa
sina×tan(a) = sin a * sina/cosa
sin²a/cos a = 1/2
(1-cos²a)/cosa = 1/2
Cross multiply
2(1-cos²a) = cos a
2 - 2 cos²a = cos a
2cos²a + cos a - 2 = 0
Let P = cos a
2P² + P -2 = 0
P = -1 ±√1-4(2(2)/2(2)
P = -1 ±√1+16/4
P = -1 ±√17/4
P = -1±4.12/4
P = -1-4.12/4 and -1+4.12/4
P = -5.12/4 and 3.12/4
P = -1.28 and 0.78
Since P = cos a
<em>Hence cos a = -1.28 and 0.78</em>
Answer:
y^2
Step-by-step explanation:
(y x y^1/3)^3/2 would be clearer if written as
(y*y^(1/3))^(3/2).
Because y^a*y^b = y^(a + b), the quantity inside the first set of parentheses becomes
y^(4/3)
and if we apply the power (3/2) to this result, we get:
4 3
(y^(4/3))^(3/2) = y^{ ----- * ----- ) = y^2
3 2
Answer:
C) x=2 and x= -14
Step-by-step explanation:
|x + 6| = 8
means
x + 6 = 8 or x + 6 = -8
x + 6 = 8
x = 2
x + 6 = -8
x = -14
Answer:
x + 37 ≥ 65
Step-by-step explanation:
Given:
Money Micah wants = $65
Money Micah had = $37
Find:
Money Micah need
Computation:
Money Micah need(x)
x + 37 ≥ 65
So,
Money Micah need = 65 - 37
Money Micah need = $28
