Answer:
x = 4
Step-by-step explanation:
y = kx²
NOTE: k is constant for proportionality
putting values for x and y
if x is 2
and y is 12
12 = k(2)²
12 = k4
12 = 4k
divide both sides by coefficient of k
12÷4 = 4k ÷ 4
k=3
substitute 3 for k
therefore when
y is 48
and k is constant 3
then x will be:
48=3x²
divide both sides by coefficient of x²
48 divide by 3 = 3x² divide by 3
16=x²
take the square root of both sides
√16 = √x²
x = 4
Answer:
She will need to purchase 16 rolls of ribbon
Step-by-step explanation:
Step 1: Express the total length of ribbon
Use the expression below;
T=R×N
where;
T=total length of ribbon Ruby has
R=length per roll
N=number of rolls
In our case;
T=120 meters, but since 1 meter=3.28084 feet
T=(120×3.28084)=393.7008 feet
R=25 feet
N=n
replacing;
393.7008 =25×n
n=393.7008/25
n=15.748 rounded up=16
She will need to purchase 16 rolls of ribbon
It represents the absolute value of negative 5 which is positive 5
Answer: 
Step-by-step explanation:
Given: The diameter of a large lawn ornament in the shape of a sphere = 16 inches.
Then, the radius of ornament =
inches.
We know that the volume of a sphere is given by :-
, where r is the radius of a sphere.
Now, the volume of the ornament is given by :-

Hence, the approximate volume of the ornament 
Answer:
(7, 3)
Step-by-step explanation:
get rid of the y by adding:
x=-2
+x=16
then add the equalities:
2x=14
divide by 2:
x=7
then subsitute the x in to find y!
7+3y=16
3y=16-7
3y=9
y=3