Answer:
Step-by-step explanation:
Represent a cup with x; the cat with c and the dog with d
From the first statement, we have:
From the second, we have:
Required
Express d in terms of x
We have:
and
Merge both expressions to give:
Collect Like Terms
Multiply both sides by 3
Answer:
3.5
Step-by-step explanation:
5.25 x 100/1.5 x 100 = 525/150 = 105/30 = 21/6 = 7/2 = 3.5
Answer:
c = 4
Step-by-step explanation:
In g(x)=cx-3 when x is set to 0.5 , g(x)= -1.
We can solve for "c" when it is the only variable in the equation.
Substitute x for 0.5 and g(x) for -1. Isolate "c" to solve by doing reverse operations.
g(x) = cx - 3
g(0.5) = 0.5c - 3 Substitute x=0.5
-1 = 0.5c - 3 Substitute g(0.5) = -1
-1 + 3 = 0.5c - 3 + 3 Add 3 to both sides to start isolating c
2 = 0.5c
2/0.5 = 0.5c/0.5 Divide both sides by 0.5 to isolate c
4 = c Value of c
c = 4 Standard formatting puts the variable on the left side
Therefore the value of c if g(0.5)=-1 is 4.
the equation for the stated problem would be:
3x ≥ -6
2(x - 6) = 3(x + 7)
2x - 12 = 3x + 21
-33 = x
the number is -33