MATHEMATICS MIDDLE SCHOOL

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 1

Answer:

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.

Answer 2

Answer: 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

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What is the answer to this?

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Are there any pictures of the graphs?

Step-by-step explanation:

6y+4<8y-8

12<2y

y>6

To graph this, draw a dashed line along y=6. Then shade above that.

Felipe put a bowl of candies on his desk. He grabbed the relationship between how many days had passed and how many candies remained. What does the X intercept represent in this context

Answers

Answer:

see the explanation

Step-by-step explanation:

Let

x -----> the number of days

y ----> the number of candies remained

we know that

The x-intercept is the value of x when the value of y is equal to zero

In this context, the x-intercept is the number of days that have passed when the amount of candy remaining is equal to zero.

Final answer:

The X intercept represents the number of days it takes for all the candies to be gone. When the line goes through the X-axis (X intercept), it means that there are no candies remaining in the bowl.

Explanation:

In the context of Felipe's bowl of candies, the X intercept on a graph represents the number of days it takes for all the candies to be gone. Essentially, the X intercept is when the Y value (in this case, the number of candies remaining) hits zero.

This is because the X-axis often represents time in such scenarios, and when the graphed line crosses, or 'intercepts' the X-axis, it means the count of what is being measured (candies here) has become zero. So, if the graph showed that the X intercept was 5, it would mean all of the candies were eaten within 5 days.

Learn more about X intercept:

brainly.com/question/32551343?referrer=searchResults

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The parking lot for a hotel should have 114 parking spaces. If ech row can have 13 parking spaces, then the minimum nukber of rows should be?

Answers

So @mathmate deleted my comment because "I wasn't explaining my answer" well I did

I clearly stated that you have to make educated guess and I showed how I GOT my answer

so i guess here is my "proper" answer

There is no specific formula for this, so you can make an educated guess

for example:

13*5 = 65 (this isn't right because we need a minimum of 114)

so we continue the guessing

I then next tried

13*9

I got 117,

117 is more than 113

making 9 the minimum amount of rows for the hotel parking lot

there ya go @mathmate is that clear enough?

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Answers

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Answers

The fraction that shows how much Jeremy walked in simplest is 3/4. Hope it helps:)

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- One-fourth of the guests brought a dessert.

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Answers

10 guests brought chips. To find the total number of guests who brought each item, all you need to do is divide 24 by the number in the fractions denominator. Then, add your answers and subtract them from 24 to get the total number of guests who brought chips.

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Hope this helps!

Answer: The answer would be 10 guests brought chips

Step-by-step explanation:

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