Answer:
The answer is A.
Step-by-step explanation:
This is quite the odd question to see on homework, but looking at it a certain way helps determine the answer. two fourths are shaded in, and so is one twelfth. Since the other five twelfths are blank, it can be interpreted that the model is showing us A. This can be checked on a scientific calculator.
.5 / (1/12) = 6
Therefore, A is correct.
Answer:
The solution to the system of equations is x=3 y= 23
Step-by-step explanation:
solving this system of equation using substitution method
-3x-y=14 ….. equation (1)
-9x =-27 ….. equation (2)
Solving for value of x from equation 2
-9x =-27
so x= -27/-9 = 3
so x = 3
The second equation is solved for x, so we can substitute the expression 3 in for x in the first equation (1)
-3x-y=14
-3 (3) - y =14
-9-y= 14
-9=14+y
y=-23
The solution to the system of equations is x=3 y= -23
We can check our work by plugging these numbers back into the original equations. Let's try -3x-y=14
-3x-y=14
-3(3) -(-23)= 14
-9+23 = 14
14= 14
Yes, our solution checks out.
Step-by-step explanation:
6-20/3=14/3..........
Answer:
111 grams
Step-by-step explanation:
Total mass: 185 g
The ratio of the mass of fruit to yoghurt is 2 : 3
185/5 = 37 g
37 x 3 = 111 g
Answer:
a = + or - sqrt(7)/6, which are irrational ( Answer Choice (b) ) for either case.
Step-by-step explanation:
a^2 = 7/36 implies that
a^2 - 7/36 = 0, by subtracting 7/36 from both sides of the equation, which implies that
(a - sqrt(7)/6)(a + sqrt(7)/6) = 0, by factoring, which implies that
a - sqrt(7)/6 = 0 or a + sqrt(7)/6 = 0, by the zero product property of the real number system, which implies that
a = sqrt(7)/6 or a = - sqrt(7)/6, which are both irrational, since sqrt(7) is irrational and an irrational number divided by an integer (other than 0) is irrational.
