Answer:
or
or
or 
Step-by-step explanation:
Since, According to the question,
For each pound the operator’s guess differs from the contestant’s weight, the contestant will receive $3.
And, If a contestant weighing x pounds received $15
Then the guessed weight of contestant = 
But, Again according to the question,
The guessed weight is 120 pounds,
Thus, 
⇒ 
⇒
(by multiplying 3 on both sides)
⇒ 
⇒ 
⇒
( On dividing both sides by 3 )
we are given

Since, we have to solve for b

so, we will isolate b ony one side
so, we will add 60 on both sides



so,
Answer:
Maureen should have added 60 to both sides.
Answer:
Option C is the correct answer.
Step-by-step explanation:
Perimeter of current office = 88 ft
We have perimeter = 4a , where a is the side of square.
Equating
4a = 88
a = 22 sqft
Area of current office = a x a = 22 x 22 = 484 square feet.
Area of new office is twice the area of current office.
Area of new office = 2 x 484 = 968 square feet.
Option C is the correct answer.
Answer:
10 cm
Step-by-step explanation:
Given:
No. of small spherical bulb = 1,000
radius (r) of smaller bulbs = 1 cm
Required:
radius of the bigger bulb
SOLUTION:
The following equation represents the relationship of the volume of the smaller and bigger bulb,

Where,
= volume of bigger bulb
= volume of smaller bulb
1,000 is the number of smaller bulbs melted to form the bigger bulb.
Volume of a sphere is given as, ⁴/3πr³
Therefore:
= ⁴/3*π*r³ = 4πr³/3
= ⁴/3*πr³ = ⁴/3*π*(1)³ = ⁴/3π*1 = 4π/3
Plug the above values into the equation below:





(12pie cancels 12 pie)
(taking the cube root of each side)
Radius of the bigger bulb = 10 cm
Answer:
<h2>A 16mm</h2>
Step-by-step explanation:
An equilateral triangle is a triangle that has all of its sides equal.
Perimeter of an equilaterial triangle = 3s where;
s is one side of the triangle.
Given the perimeter of ABC = 96mm
Substituting into the formula above to get s;
96 = 3s
s = 96/3
s = 32mm
Hence the length of one side of the triangle is 32mm
If a perpendicular bisector is drawn from angle A to side Line segment B C at point M, then MC will be half of BC and ΔAMC will be a right angled triangle.
Since all the sides of the triangle are equal, hence BC = 32mm. Since MC is the half of BC, then MC = 1/2 of 32mm
MC = 1/2 * 32mm
MC = 16mm
<em>Hence the length of Line segment MC is 16mm</em>
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