An open box will be made from a rectangular piece of cardboard that is 8 in. by 10 in. The box will be cut on the dashed red lines, removing the corners, and then folded up on the dotted lines. What is the MAXIMUM possible volume for the box?A) 1.5 in3
B) 5.8 in3
C) 52 in3
D) 64 in3

Answers

Answer 1

Answer: The correct answer is this one: "C) 52 in3."

Given the illustration, we can be able to know the dimensions of the formed box.

The dimensions are
Length: 10 - 2x
Width: 8 - 2x
Height: x

So the volume is
Volume = (10-2x) * (8-2x) * (x)
Let x = 2.5
Volume = (5) * (3) * (2.5) = 37.5
Let x = 2
Volume = (6) * (4) * (2) = 48
Let x = 1.5
Volume = (7) * (5) * (1.5) = 52.5
Let x = 1
Volume = (8) * (6) * (1) = 48
Let x = 0.5
Volume = (9) * (7) * (.5) = 31.5

Answer 2

Answer:

The Correct answer is A I took the test

Step-by-step explanation:

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An ice machine uses 3 gallons of water every 9 hours. How many gallons of water does it use each hour? How many hours does it take to use one gallon?

Answers

3 gallons = 9 hours
3/9 gallons = 1 hour

3 gallons = 9 hours
1 gallon = 9/3 hours

Therefore, It will use 1/3 gallons of water each hour and will use 1 gallon in 3 hours

Answer:

First find out the how many gallons of water does it use each hour .

To prove

As given

An ice machine uses 3 gallons of water every 9 hours.

3 gallons of water = 9 hours

$Water\ uses\ by\ ice\ machine\ in\ one\ hours = (3)/(9)$

Water uses by ice machine in one hours = 0.33 gallons (Approx)

Now find out how many hours does it take to use one gallon .

As given

An ice machine uses 3 gallons of water every 9 hours.

3 gallons of water = 9 hours

$Hours\ take\ by\ ice\ machine\ to\ use\ one\ gallons\ of\ water = (9)/(3)$

Hours take by ice machine to use one gallons of water = 3 hours.

At the beginning of the week the balance in your checkbook was $298.72. During the week you made a deposit of $425.69. You also wrote checks for $29.72, $135.47, and $208.28. At the end of the week you received a letter from the bank indicating that they had deducted a $5.00 service charge from your account. How much is in your account at the end of the week?

Answers

$298.72+ $425.69- $29.72- $135.47- $208.28- $5.00= $345.94.

There is $345.94 in the account at the end of the week.

Remember that when you make a deposit, you add money to your account and when you write checks, it means you take away the money from your account.

Hope this helps~

Answer:

345.94

Step-by-step explanation:

Find the volume of the given prism. round to the nearest tenth if necessary.

Answers

Volume of triangular prism = area of triangle x length.
Here, the triangle is an equilateral triangle with sides 14yds
Area of the triangle = 1/2 x 14 x 14 x sin 60 = 84.87 square yds
volume of the triangular prism = 84.87 x 25 = 2,121.8 cubic yds

Correct answer= MARKED BRAINLIEST

Answers

Answer: the answer would be 24 = m

Step-by-step explanation:

I got that answer be dividing both 2.5 and 15 and figured out that 1 hour equals 6 mile so that would make it so that it is 24

not sure exactly, but the answer for m on the top is 6.

At the veterinarian's office, 4 animals out of every 5 seen were cats. A total of 35 animals were seen.a. How many cats were seen?

b. The ratio of male cats seen was 6:7. How many of the cats seen were males?

Answers

a: 28 cats were seen, to find the answer you multiply the ratio, 4:5 by 7 so that the total animals is 35, 28:35
b:24 cats seen were males, you do this problem similar to the other one. Multiply the ratio by 4 so that the total number of cats is 28, 24:28

Jerome is writing a number in scientific notation. The number is greater than one million and less than ten million. What will be the exponent in the number Jerome writes?PLEASE HELP!!!!(by that i mean i want the answer)

Answers

The exponent in the number Jerome writes will be anywhere between 6 to 7.

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have:

Jerome is writing a number in scientific notation.

Let's suppose the number is x

The number x is greater than one million and less than ten million.

In scientific notation:

$\rm 10^6\leq x\leq 10^7$