Kaley cuts half of a loaf of bread into 4 equal parts. What fraction of the whole loaf does each of the 4 parts represent?

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Answer 1
Answer: When you cut a loaf of bread into 4 parts it is 1/4 since you would need 3 more 1/4 to create 4/4. 
1/4 x 4 =4/4

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trever saves 2/3 of the money he earns at his after- school job. suppose Trevor starts saving 1/4 as much as he is saving now. which statement below is true? so will Trevor saves more or less?

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so 1/4 is a fraction
a fractin is less than a whole
so if he saves a fraction of what he is savind now, then he is saving only a part of what he originally saved
he is saving less
TREVOR SAVES LESS

he will save less because a fraction of a fraction will always end up smaller if it isn't improper, so instead of saving 2/3 of his money, if my math is correct, he'd only be saving 1/6 of his paycheck

a building with a height of 32m casts a shadow that is 20m long. a person standing casts a shadow that is 1.2 m long how tall is the person

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Most of the information's required for solving the question is already given in the question.
Height of the building that casts a shadow of 20 m = 32 m
Then
Height of the man that casts a shadow of 1.2 m = (32/20) * 1.2 meter
                                                                             = 3.2 * 1.2 meter
                                                                             = 3.84 meter
So the actual height of the person casting a shadow of 1.2 meter is 3.84 meters. I hope that the procedure used for solving the problem is easy enough for you to understand. You can definitely use this method in future for solving problems of similar type without requiring any additional help from outside.

In the Hope family there are seven sisters, and each sister has one brother.Including Mr. and Mrs.Hope, how many are in the family tree.

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10 people because all the sisters have the same brother so 7+1+2.

The Hope family tree consists of 16 individuals.

In the Hope family, there are seven sisters. Each sister has one brother, which means there is one brother for each sister. Furthermore, there are Mr. and Mrs. Hope, making a total of two additional family members. To determine the total number of individuals in the family tree, we add the number of sisters (7), the number of brothers (7), and the number of additional family members (2). Therefore, there are 16 individuals in the Hope family tree.

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A contractor charges $1,200 for 100 square feet of roofing installed. At this rate, how much does it cost to have 1,100 square feet installed?

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Answer: $13200

Step-by-step explanation:

If 100 square feet of roofing is installed for a cost of $1,200

1,100 square feet would cost $Z (let the unknown cost be Z)

i.e 100 ft^2 = $1,200

1100 ft^2 = $Z

Hence, to get the value of Z, cross multiply

Z x 100 = 1200 x 1100

100Z = 130000

Divide both sides by Z

100Z/100 = 1320000/100

Z = $13200

Thus, $13200 is the cost to have 1,100 square feet of roofing sheet installed

A. Use composition to prove whether or not the functions are inverses of each other. B. Express the domain of the compositions using interval notation.

Answers

Given: f(x) = (1)/(x-2)

           g(x) = (2x+1)/(x)

A.)Consider

f(g(x))= f((2x+1)/(x) )

f((2x+1)/(x) )=(1)/(((2x+1)/(x))-2)

f((2x+1)/(x) )=(1)/((2x+1-2x)/(x))

f((2x+1)/(x) )=(x)/(1)

f((2x+1)/(x) )=1

Also,

g(f(x))= g((1)/(x-2) )

g((1)/(x-2) )= (2((1)/(x-2)) +1 )/((1)/(x-2))

g((1)/(x-2) )= ((2+x-2)/(x-2) )/((1)/(x-2))

g((1)/(x-2) )= (x )/(1)

g((1)/(x-2) )= x


Since, f(g(x))=g(f(x))=x

Therefore, both functions are inverses of each other.


B.

For the Composition function f(g(x)) = f((2x+1)/(x) )=x

Since, the function f(g(x)) is not defined for x=0.

Therefore, the domain is (-\infty,0)\cup(0,\infty)


For the Composition function g(f(x)) =g((1)/(x-2) )=x

Since, the function g(f(x)) is not defined for x=2.

Therefore, the domain is (-\infty,2)\cup(2,\infty)



What is the area of a circle with a diameter of 240mm

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A circle is a curve sketched out by a point moving in a plane. The area of the circle with a diameter of 240 mm is 45238.934 mm².

What is a circle?

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a setdistance from a given point, the centre.

The area of the circle with a diameter of 240 mm is,

Area of circle = (π/4) × D²

                       = (π/4) × (240)²

                       = 45238.934 mm²

Hence, the area of the circle with a diameter of 240 mm is 45238.934 mm².

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d =240 \ mm = 24 \ cm \n\nr = (d)/(2) =(24)/(2)=12 \ cm \n \n \pi=3,14 \n \nA = \pi r^2\n\nA= 3,14\cdot 12^2 =3,14 \cdot 144 = 452,16 \ cm^2