Why does it take 3 copies of 1/6 to show the same amount as 1 copy of 1/2

Answers

Answer 1

Answer: Common question that is always asked : "Why does it take 3 copies of 1/6 to show the same amount as 1 copy of 1/2".Well let me show you how it works.=> 3 of 1/6 to makw 1/2First, i'll show you the 3 copies of 1/6 added together=> 1/6 + 1/6 + 1/6 = 3/6, since they already have the same denominator, we directly added it.=> now, notice that 3/6 can be divided with or simplified=> 3/6 divided by 3 = 1/2Hence, that's how it becomes 1/2

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A rectangle of perimeter 100 units has the dimensions shown. Its area is given by the function A = w(50 - w). What is the GREATEST area such a rectangle can have? The rectangle shown has 50-w on the top and bottom.
and a w on its left side and right side.

Answers

Answer:

The greatest area of rectangle is:

625 square units.

Step-by-step explanation:

It is given that:

A rectangle of perimeter 100 units has the dimensions as:

50-w on the top and bottom.

and a w on its left side and right side.

i.e. we may say the length of the rectangle is:

50-w

and the width of the rectangle is:

Now, we need to find the greatest area of rectangle.

As the area of rectangle is:

A = w(50 - w)=50w-w^2

Now, to find the maximum area we differentiate the Area with respect to the width as:

$(dA)/(dw)=0\n\ni.e.\n\n50-2w=0\n\n50=2w\n\nw=25$

Hence, to obtain the maximum area the width of the rectangle is: 25 units.

and that of the length of the rectangle is:

50-25=25 units.

Hence, the dimensions of rectangle in order to obtain the maximum area is:

25 units by 25 units.

So, the area of rectangle is:

$Area=25* 25\n\nArea=625\ \text{square\ units}$

Hence, the greatest area of rectangle is:

625 square units.

disregard the w and w-50 for now
to have the greatest area, try to make legnth and width the same
P=100
P=2(L+W)
100=2(L+W)
50=L+W
if L=W
50=L+L
divide 2
25=L=W

A=LW=25*25=625

greatest is 625 square units

Marys pet turtle weighs 4.094 pounds how is this written in word form

Answers

The answer is four point ninety-four.

At a school carnival, the diameter of the mat of a trampoline is 12 feet and the diameter of its metal frame is 14 feet. What is the length, in feet, of the metal frame that surrounds the trampoline? Use 3.14 for π and round your answer to the nearest tenth37.7
44.0
75.4
87.9

Answers

Find the circumference of the metal frame?

C = pi * d

Where 'd' is the diameter.

In this case, the diameter is 14, because that is the given information from the question.

Plug it in along with 3.14 for pi:

C = 3.14 * 14

C = 43.96

So it's approximately 44

To answer this question, you have to find the circumference of the metal frame. The formula for the circumference of a circle is:
C = pi * d

So, you have to multiply pi which is 3.14 with the diameter
C = 3.14 * 14

If you do this the circumference of the circle will be 43.96 feet
C = 43.96

Hope it helps:)

Angel bought 8 oranges and 11 apples for a total of $15.22. He knows that each orange costs $0.50 and reasoned that each apple must cost a little more than $1.00. Is the answer reasonable why or why not?

Answers

find cost of apples
total=oranges+apples
total-oranges=apples

0.5=1/2
cost of oranges=8 times 0.5=8 times 1/2=4

total=15.22
oranges=4
15.22-4=apples
11.22=11 apples
we can see that if the apples were 1 dollar each then the cost woud be $11, but is is more, so it is a little more than $1 each

correct, because of math

he is correct
.50x8=4 15.22-4=11.22 11.22/11=1.02

What is 100 divided by 11.99?

Answers

Answer:

8.4033613445378151260504201680672

Step-by-step explanation:

Use a calculator :)

Answer:

$(1000)/(1199)$ = 8.34028

Step-by-step explanation:

multiply 100 by 100 = 1000

and multiply 11.99 by 100 = 1199

divide them you get 10000/1199

The Pythagorean Theorem can only be used with which type of triangle?

Answers

right triangle because a2 + b2 = c2

Answer: Right triangle.

Step-by-step explanation: The Pythagorean theorem can only be used in a right triangle and states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.

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