Answer:
surface area of cube
time
Step-by-step explanation:
given data
new volume = 10 time original volume
to find out
what factor surface area change
solution
we consider here side of cube is a
and volume is V
we consider here a is 2
then volume will be v1 = a³ = 2³ = 8
and surface area = 6a² = 6(2)² = 24 ..........1
so if volume increase 10 time
than
V = 10 × v1
a³ = 10 × 8
a³= 80
a = 2 × ∛10
and
surface area increase here
surface area = 6a²
surface area = 6( 2 × ∛10 )²
surface area = 24 ×
............2
so from equation 1 and 2
surface area / surface area = 24 ×
/ 24
surface area = 
so here surface area of cube will be
time
Answer:
i) Sally' s grocery bill = c -
c = 0.95c
Therefore the correct option is B.)
ii) Therefore the expression which represents the expected population
next year is given by :
= p +
p = 1.075p
Therefore the correct option is B.)
Step-by-step explanation:
Sally has a discount card that reduces the price of her grocery bill in a certain grocery store by 5%.
Let c represent the cost of Sally's groceries.
therefore the expression which represents Sally's grocery bill is given by :
Sally' s grocery bill = c -
c = 0.95c
Therefore the correct option is B.)
The population of a city is expected to increase by 7.5% next year If p represents the current population, which expression represents the expected population next year?
Let p = current population of a city.
Therefore the expression which represents the expected population next year is given by :
= p +
p = 1.075p
Therefore the correct option is B.)
Answer:
B. -4
Step-by-step explanation:
We want to find x such that f(x)=18.
We need to therefore solve 9x+54=18 forx.
9x+54=18
Divide both sides by 9:
(9x+54)/9=18/9
9x/9+54/9=18/9
Simplify:
x+6=2
Subtract 6 on both sides:
x=2-6
Simplify
x=-4.
So f(-4) should have value 18.
Let's check.
f(x)=9x+54
f(-4)=9(-4)+54
f(-4)=-36+54
f(-4)=18
So the answer is B.