A sandbox has a volume of 330 cubic feet of sand. If the sandbox is 3 feet tall, and 10 feet wide, what is the length of the sand box?

The volume of the right rectangular prism is the amount of cubes in it

The formula to determine the volume of the right rectangular prism is V(n) = n

The question is incomplete; as the figure is not given.

So, I will provide a general solution

The volume of a one inch cube is:

[tex]V = 1^3[/tex]

[tex]V = 1[/tex]

Assume the number of one inch cubes used to fill the right rectangular prism is n.

Then the volume of the right rectangular prism would be:

[tex]V(n) = n * 1[/tex]

This gives

[tex]V(n) = n[/tex]

Hence, the general formula to determine the volume of the right rectangular prism is V(n) = n

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Step-by-step explanation:

[tex] \hookrightarrow \sf y = kx [/tex]

[tex] \sf where \: k \: is \: constant[/tex]

[tex] \sf \: k = \frac{y}{x} [/tex]

[tex] \hookrightarrow \sf \: k = \frac{y}{5.5} [/tex]

Equation = [tex] \sf \: k = \frac{y}{5.5} [/tex]

Answer:

$3.90

Step-by-step explanation:

2 1/2 pounds = 2.5 pounds

To determine the price per pound, divide $9.75 by 2.5:

[tex]\sf \dfrac{9.75}{2.5}=3.9[/tex]

Therefore, the price per pound was $3.90

The random sample of the students is an illustration of sampling

The chi-square test for goodness of fit is inappropriate because the variable under study is not categorical.

The dataset is given as:

Monday        34

Tuesday       29

Wednesday   32

Thursday        28

Friday             19

The variable of the above dataset is a not a categorical dataset.

One of the conditions of the chi-square test for goodness of fit test is that the variable under study must be categorical.

Hence, the chi-square test for goodness of fit is inappropriate because the variable under study is not categorical.

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To find the coterminal angle, it is similar to going around the entire circle once and then a bit more.

379 - 360 = 19

Coterminal Angle = 19 degrees

---All the way around and a bit more

Quadrant = 1

---Where the angle is

Reference Angle = 19 degrees

---Distance between the x-axis and the angle

Hope this helps!

The correct answer for the given inequality is  {x | x ≤ -9 or x ≥ -5}.

Inequality is a statement shows greater the, greater then equal to, less then,less then equal to between two algebraic expressions.

To solve an absolute inequality, first step is to isolate absolute value expression.

Hence remove -4 from the left side. So, add 4 to each sides of the inequality.

2|x + 7|−4 ≥ 0

2|x + 7|−4 +4≥ 0 +4

2|x + 7| ≥ 4 Combine the like terms.

Divide each sides by 2.

[tex]\dfrac{2|x + 7| }{2} \geq \dfrac{4}{2}[/tex]

|x + 7| ≥2

Next step is to remove the absolute value sign. So,

x + 7≥2 and x+7≤-2.

x≥2-7 and x≤-2-7

x≥-5 and x≤-9

So, the correct choice is  {x | x ≤ -9 or x ≥ -5}.

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Answer:

1st one is: C

2nd one is: A

Step-by-step explanation:

Answer:

[tex]0.3 = \frac{3}{10}\\\\ 0.46 = \frac{23}{50} \\\\0.075 = \frac{3}{40}[/tex]

Step-by-step explanation:

To convert decimals to fractions, you look at the place of the last digit of the fraction (i.e. the digit that the farthest right from the decimal)

For 0.3, 3 is in the tenths place, so we end up with the fraction [tex]\frac{3}{10}[/tex]

For 0.46, 6 is in the hundreths place, so before simplifying we have [tex]\frac{46}{100}[/tex]

The GCF of 46 and 100 is 2 so we divide the fraction by [tex]\frac{2}{2}[/tex] to get [tex]\frac{46}{100}[/tex] ÷[tex]\frac{2}{2}[/tex] = [tex]\frac{23}{50}[/tex]

For 0.075, the 5 is in the thousandths place, so before simplifying we have [tex]\frac{75}{1000}[/tex]

The GCF of 75 and 1000 is 25 so we decide the fraction by [tex]\frac{25}{25}[/tex] to get [tex]\frac{75}{1000}[/tex] ÷[tex]\frac{25}{25}[/tex] = [tex]\frac{3}{40}[/tex]

Answer:

3.486 feet (1.06 m) or 3 feet (0.91 m) five inches

Step-by-step explanation:

17 percent of 4.2 is 0.714 and 4.2–0.714 is 3.486

Step-by-step explanation:

Answer:

[tex]\frac{1}{3} - \frac{1}{9} = \frac{3}{9} - \frac{1}{9} = \frac{2}{9}[/tex]

The first one: 3

The second one: [tex]\frac{2}{9}[/tex]

Step-by-step explanation:

To find the common numerator, you can multiply by 3 on both the numerator and denominator.

Answer:

Step-by-step explanation: 737/ 11= 67

sooooo 67 x 5= 335

Answer:

1. WEA and and TSE

2.WES

3.50

Step-by-step explanation:

the inscribed angles are AWE, AWS, EST

As W is the center, ES is the Diameter

arc AE = 180-AWS

= 180-100

=80 degrees

Answer:

x = -7

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (&Roots)

Multiplications

Divisions

Additions

Subtractions

~

First, add 6 to both sides of the equation:

-5x - 6 = 29

-5x - 6  (+6) = 29 (+6)

-5x = 29 + 6

-5x = 35

Next, divide -5 from both sides of the equation:
(-5x)/-5 = (35)/-5

x = 35/-5

x = -7

-7 is your answer for x.

~

Answer:

b

Step-by-step explanation:

Answer:

circle a: 3.14x36= 113.04

circle b: 3.14 x 64 = 200.96

circle c: 3.14 x 121= 379.94

circle d : 3.14 x 81 = 254.34

Step-by-step explanation: circle a is 6cm, circle b is 8 cm, circle c is 11 cm and circle d is 9cm.

and (Area = π r²) example: circle a 6²=36 and π=3.14 so 3.14x36=113.04

Answer:

Step-by-step explanation:

What is 6 divided by 3/56 ÷ 3 5. The trick to working out 6 divided by 3/5 is similar to the method we use to work out dividing a fraction by a whole number. ... 6 x 5 3 = 30 3. So, the answer to the question "what is 6 divided by 3/5?" ... 30 3. ... 10 1. ... 10 1 = 10.

Answer:

The numbers in 6 divided by 3/5 are labeled below:

6 = whole number

3 = numerator

5 = denominator

To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:

6 x 5

3

 =  

30

3

Thus, the answer to 6 divided by 3/5 in fraction form is:

30

3

To make the answer to 6 divided by 3/5 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

30 / 3 = 10

The answer is rounded to the nearest two decimal points if necessary.

30/3 can be simplified to 10/1.

10/1 is an improper fraction and should be written as 10.Step-by-step explanation:

Answer:

  49.2 square yards

Step-by-step explanation:

The surface area of a rectangular prism can be found using the formula.

  A = 2(LW +H(L +W)) . . . . where L, W, H are length, width, height

  A = 2(3×5 +1.2(3 +5)) = 2(15 +9.6) = 49.2 . . . . square yards

Answer:

7

Step-by-step explanation:

6/(2)+4

3+4

7(BODMAS)

But if you use calculator it we give you

5

Answer:

0.728 to nearest thousandth.

Step-by-step explanation:

3(3 squared2 -4)

= 9√2 - 12

= 0.728 to nearest thousandth.

Answer:

The equation of the parabola which opens left or right is (B) x= ay^2 + by + c

:)

Answer:

The formula to calculate the area of a regular polygon is, Area = (number of sides × length of one side × apothem)/2, where the value of apothem can be calculated using the formula, Apothem = [(length of one side)/{2 ×(tan(180/number of sides))}].

Step-by-step explanation:

Answer:

1/9

Step-by-step explanation:

Sum = 4: (1,3) (2,2) (3,1)

Sum = 12: (6,6)

4/36 = 1/9 or 0.111

hope that helps

The probability of wearing a red shirt and a black jean is the likelihood of the shirt and jean

The probability of wearing a red shirt and a black jean is is 1/6

From the tree diagrams, we have the following parameters

Total combination = 6

Red shirt and Black Jean = 1

The probability of wearing a red shirt and a black jean is calculated as:

P = n(Red shirt and Black Jean)/Total combination

This gives

P = 1/6

Hence, the probability of wearing a red shirt and a black jean is is 1/6

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The solution to the given system of differential equations is x(t) = t + C₁ and y(t) = t²/2 + C₁t + C₂.

1. dx/dt = 2x - y

2. dy/dt = x

Substituting y = -dx/dt into the second equation,

dy/dt = x - t

-d²x/dt² = x - t

Now, assume a particular solution of the form x = At + B,

where A and B are constants.

Substituting this into the differential equation,

-A = At + B - t.

Equating the coefficients of t on both sides,

A = -1 and B = 0.

Thus, the particular solution is x = -t.

Now, integrating dx/dt = -yt,

x = -yt + C₁

Finally, substituting x into the particular solution x = -t,

-t = -yt + C₁.

Solving for y, obtain y = t²/2 + C₁t + C₂.

Therefore, the solution is x(t) = t + C₁ and y(t) = t²/2 + C₁t + C₂.

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#SPJ4

Answer:220

Step-by-step explanation:

Answer:

13) Squares, Rectangles. 14) Rhombus, Square.

15) Parallelogram, rectangle, rhombus, square

Step-by-step explanation:

Answer:

45% x 72.00 = 32.4

Step-by-step explanation:

hope this helped :)

Answer:

If 45% of an item is 72.00 what is the original price is, $160.00

Step-by-step explanation: