Please help with this question.

A hypothetical square grows so that the length of its diagonals are increasing at a rate of 8m/min. How fast is the area of the

ad-work [718]

Answer: The area of the square is increasing at a rate of 90.4 m2/min (square meters/minute)

Step-by-step explanation: Please see the attachments below

7 0

3 years ago

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The pair of points lies on the same line with the given slope. Find x.

barxatty [35]

Can u answer my question in my profile

7 0

3 years ago

An ice cream shop is testing some new flavors of ice cream. They invent 252525 new flavors for customers to try, and throw out t

navik [9.2K]

Answer:

Total 480 liters of ice cream is in the cartons.

Step-by-step explanation:

Given:

An ice cream shop is testing some new flavors of ice cream. They invent 25 new flavors for customers to try, and throw out the 13 least popular flavors. The shop makes 80 cartons of each of the remaining flavors. It takes 2 cartons to get one liter of ice cream.

Now, to find the total ice cream in the cartons.

The ice cream shop invent new flavors = 25.

And ice cream shop throw out least popular flavors = 13.

So, to get the remaining ice cream we subtract quantity of flavors ice cream shop throw out from the quantity of flavors ice cream shop invent:

$25-13=12.$

Thus, the remaining flavors = 12.

According to question, the shop makes 80 cartons of each of the remaining flavors. And it takes 2 cartons to get one liter of ice cream.

So, we get the unit rate of liter per carton:

If, 2 cartons contain 1 liter.

Then, 1 carton contain = $\frac{1}{2} =0.5\ liter.$

Total quantity of ice cream per carton = 0.5 liter

Total number of cartons = 80.

Total flavors of ice cream = 12.

Now, to get the total ice cream in the cartons we multiply total quantity of ice cream per carton by total number of cartons by total flavors of ice cream:

$0.5\times 80\times 12\\\\=480\ liters.$

Therefore, total 480 liters of ice cream is in the cartons.

7 0

2 years ago

In 1995, the USPS approximated that they handled 1.8 x 10^11 pieces of mail. In 2010, the

8_murik_8 [283]

Answer:

$1 \times 10^{10}$ more pieces of mail were handled in 1995 than in 2010.

Step-by-step explanation:

We are given that in 1995, the USPS approximated that they handled $1.8 \times 10^{11}$ pieces of mail and in 2010, the USPS reported that they handled $1.7 \times 10^{11}$ pieces.