Answer:
B=16 ounces
C=24 ounces
B=1/0.75=133%
Step-by-step explanation:
we have that
A≡0.25B (25%), if A=4 ounces then B=4/0.25 = 16 ounces
C=1.5B (150%), if B=16 ounces then C=1.5*(16 ounces) = 24 ounces
D≡xB (?%), if D=12 ounces then x=12/16 = 0.75 ≡ 75%, but xB≡D ⇒ B≡D/x →
B≡12(1/0.75)= B=12*(1.333)→ B≅133%D
Answer:
(2 x + 3) (2 x + 9)
Step-by-step explanation:
Factor the following:
4 x^2 + 24 x + 27
Factor the quadratic 4 x^2 + 24 x + 27. The coefficient of x^2 is 4 and the constant term is 27. The product of 4 and 27 is 108. The factors of 108 which sum to 24 are 6 and 18. So 4 x^2 + 24 x + 27 = 4 x^2 + 18 x + 6 x + 27 = 9 (2 x + 3) + 2 x (2 x + 3):
9 (2 x + 3) + 2 x (2 x + 3)
Factor 2 x + 3 from 9 (2 x + 3) + 2 x (2 x + 3):
Answer: (2 x + 3) (2 x + 9)
Cannot reduce, it is already in simplest form. You can convert it to a decimal though, 0.671875
45 is my first choice answer
Answer:
√85
Step-by-step explanation:
for this, you will probably need to draw a graph. Plot the points, and then you will notice that you can draw a triangle with one side being the x-axis ( go on to (-6,0) then drop down unitll you hit the point (-6;-7)
// use the pythagoream theorem to find the length
the distance of the leg on the x-axis is 6 (calculate 0-(-6))
the distance of the leg that is dropping down is -7 (calculate 0-(-7))
then we have 2 legs and need to find the hypotenuse.
Pythagorean theorem a^2 + b^2 = c^2
substitute :
6^2 + 7^2 = c^2
36+49 = 85
c= √85
