Answer:
kathryn= 6 years old
her mother= 38 years old
Step-by-step explanation:
kathryn=x
mother= x²+2
x²+2 +x=44
x=6
kathryn= 6 years old
her mother= 38 years old
Answer:
r = 8,9,10
Step-by-step explanation:
The given inequality is :
5r≤6r−8 ...(1)
We need to find the value of r.
Subtracting 5r to both sides of the inequality .
5r-5r≤6r-5r−8
0≤r−8
r ≥ 8
Hence, the values of r are 8,9,10.
Answer:
MOE= ± 0.098
Step-by-step explanation:
-The margin of error is calculated using the formula:

#Substitute to solve for MOE:

Hence, the margin of error is ± 0.098
The value of x is 105 when y=42
Step-by-step explanation:
A direct proportion means that the change in one quantity will also cause the change in other quantity
Given
y varies directly with x
x ∝ y
when the proportionality symbol is removed a proportionality constant is introduced

The value of x is 105 when y=42
Keywords: Proportion, Direct variation
Learn more about proportion at:
#LearnwithBrainly
Volume of sphere = 4/3 x pi x r^3
904.32 = 4/3 x pi x r^3
Divide both sides by 4/3
678.4 = pi x r^3
Divide both sides by pi:
216 = r^3
Take the cubic root of both sides
R = 6