Distribute -3 to parenthasees
-3(r+9)=-3r-27
now we have
-3r-27=-32
add 27 to both sides
-3r+27-27=27-32
-3r+0=-5
-3r=-5
divide both sides by -3
r=-5/-3
r=5/3
Answer:
(C)c= f
Step-by-step explanation:
Clare uses cups of flour to make 4 cakes.
It means she uses 1 cup of flour to make cakes.
Let us simplify that expression first for future use.
Therefore, Clare uses 1 cup of flour to make cakes.
If Noah follows the same recipe,
He uses f cups of flour to make c cakes
Using Ratio Method
→ Name : Cup : Cake
→ Clare : 1 :
→ Noah : f : c
By using cross multiplication
c X 1 = f
c= f
The equation c= f represents the relationship between c and f
Answer:
Ordered pair, (1, 5/2) does not satisfy the given equation 3x-3y=-3
Step-by-step explanation:
Here
Answer:
Fred is 28 yrs old. Nathalie is 12yrs old
Step-by-step explanation:
Let Nathalie's age be x
Let Fred's age be a
x+a=40 yrs•••••1
4x+a=76yrs•••••2
a=40-x
Substitute a for 40-x in equation (2)
4x+40-x=76
3x=76-40
3x=36
x=12
a=40-12
a=28
From the Special Triangle Theorem, the hypotenuse is equal to the side lengtht times the Sqrt(2).
So hypotenuse H = xSqrt(2), x=H/Sqrt(2).
Using numbers, if H = 7, then x = 7/Sqrt(2) = 7Sqrt(2)/2 to rationalize it.