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Ratling [72]
3 years ago
12

A box is created from a sheet of cardboard 20 in. on a side by cutting a square from each corner and folding up the sides. Let x

represent the length of the sides of the squares removed from each corner. Find an expression for the volume of the box in terms of x

Mathematics
1 answer:
Digiron [165]3 years ago
5 0
Assuming the sheet is a square

see diagram
the length will be 20-2x
the width will be 20-2x
and the height will be x

the volume will be (20-2x)(20-2x)(x)

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How do the values compare? Order the values from least to greatest
malfutka [58]
-2 1/4, -1 1/4, 3/4, |-1 1/4|, |-1 3/4|, |-2 1/4
hope it helps
8 0
3 years ago
A kilogram of seawater contains 1/40 kg of salt. How much salt is there in two buckets of seawater, which contain 500 liters of
never [62]

Two buckets of seawater contain 13\frac{28}{40} kg of salt.

Step-by-step explanation:

Amount of salt in 1 kg water = \frac{1}{40}\ kg

It is given that;

1 liter = 1\frac{12}{125} = \frac{137}{125}\ kg

500 liters = 500*\frac{137}{125} = \frac{68500}{125}

500 liters = 548 kilogram

As,

1 kg of seawater = \frac{1}{40}\ kg of salt

548 kilograms = \frac{1}{40}*548

548 kilograms = 13\frac{28}{40} kilograms of salt

Two buckets of seawater contain 13\frac{28}{40} kg of salt.

Keywords: unit rate, multiplication

Learn more about multiplication at:

  • brainly.com/question/10525991
  • brainly.com/question/10534381

#LearnwithBrainly

5 0
3 years ago
the area of a square floor on a scale drawing is 100 square centimeters, and the scale of the drawing is 1 cm: 2 ft. what is the
kondaur [170]
The square root of 100 is 10. The drawing must be 10 cm by 10 cm.

1 cm = 2 ft, so 10 cm must equal 20 feet.

20 * 20 = 400 square feet :)
3 0
3 years ago
Suppose a random sample of n measurements is selected from a binomial population with probability of success p = .39. Given n =
Oksi-84 [34.3K]

Answer:

The answer is below

Step-by-step explanation:

a) Given that the number of sample (n) = 300, therefore since n > 30, the distribution of the sample means is going to be normally distributed.

b) The mean of the distribution of sample means (also known as the Expected value of M) is equal to the population mean μ.

\mu_x=\mu=np=300*0.39=117

c) The standard deviation of the distribution of sample means is called the Standard Error of M, it is given by:

\sigma_x=\sqrt{np(1-p)} =\sqrt{300*0.39(1-0.39)} =8.44

8 0
3 years ago
Amrita thinks of a number. She doubles it, adds 9 , divides her answer by 3 and finally subtracts 1 . She obtains the same numbe
maks197457 [2]

Answer:

Amrita's number is 6

Step-by-step explanation:

x               Double the unknown number

2x             Add 9

2x + 9       Divide the answer by 3

2/3x + 3   Subtract 1

2/3x + 2   Set this equal to the original number

2/3x + 2 = x

-2/3x       -2/3x   Subtract 2/3x from both sides

2 = 1/3x   Multiply both sides by 3

6 = x

5 0
3 years ago
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