What is the result when the number 51 is decreased by 75%?

The dimension of the box is 50in by 10in by 15in

The volume of an object is the quantity of substance it contains.

The formula for calculating the volume of the box is expressed as:

V = lwh

where:

Given the following parameters

length = 5w
height = w + 5

Substiute

7500 = 5w(w)(w+5)
7500 = 5w²(w+5)
1500 = w³+5w²
w³+5w² - 1500 = 0

Factorize to determine the width

On factorizing, the width of the box is 10 inches

Recall that:

l = 5w
l = 5(10)

l = 50inches

Get the height

h = w + 5
h = 10 + 5
h = 15inches

Hence the dimension of the box is 50in by 10in by 15in

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area of triangular prism:

[tex]\dashrightarrow \sf (4+3+5) \ x \ 7 \ + 3 \ x \ 4[/tex]

[tex]\dashrightarrow \sf 96 \ ft^2[/tex]

Answer:

Step-by-step explanation:

A =  7 ft

B = 5 ft

C = 3 ft  (base of the triangle)

D =  4 ft  (height of the triangle)

Surface area of prism = base *height + ( B + C + D)*A

                                    = 4*3 + (5 + 3 + 4) * 7

                                    = 12 + 12 *7

                                    = 12 + 84

                                     = 96 square ft.

Answer: 2.23 hours

Step-by-step explanation:

dimensions of the room------------------- >16*13

1 in---------------- >0.0833333 foot

3 in----------------- >x

x=3*.0833333=0.25 ft

Let

C-------------- > dimensions of the piece of carpet that Charlotte must purchase

C-------------- > (16+2*0.25)*(13+2*0.25)---------- > (16.50)*(13.50)=222.75 ft²

The answer a the question 1) is 16.50 feet X 13.50 feet

The answer a the question 2) is 222.75 ft²

3. How many hours should it take for the four-person crew to lay the flooring in Charlotte's bedroom?

if two-person carpet crew can lay 50 square feet of carpet---------- > 1 hour

four person carpet crew can lay 100 square feet of carpet---------- > 1 hour

therefore

if  100 ft² carpet----------------------- > 1 hour

222.75 ft² carpet--------------------- > x

x=222.75/100=2.2275 hours=2.23 hours

The answer is 2.23 hours

Answer:

41/20

Step-by-step explanation:

or 2 1/20

Answer:

that is 4.6 m that the answer

Answer:

3 7/8 liters

Step-by-step explanation: 3 7/8 liters because she first filled one container with 1 5/8 liters of rice and 2 1/4 liters on the other. Since you want to know how much she has in both you add 1 5/8 and 2 1/4. After that you convert 2 1/4 into 2 2/8 and add that to 1 5/8 to get 3 7/8 liters of rice.

The angle made by the apothem and the radius is 30 degrees. Then the correct option is B.

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

The apothem of a regular hexagon measures 8 cm.

Then the side length of the hexagon will be

[tex]\rm x = \dfrac{8}{\sin 60^o}= 9.24\ cm[/tex]

The perimeter of the hexagon will be

Perimeter = 6 × 9.24 = 55.43 cm

The area of the hexagon will be

Area = 0.5 × 8 × 9.24 = 36.95 cm².

The angle made by the apothem and the radius is 30 degrees.

More about the polygon link is given below.

https://brainly.com/question/17756657

Answer:

2, 4, & 5

Step-by-step explanation:

I did it

The area of the trapezoid, to the nearest whole number is: D. 8 units²

Area of trapezoid = 1/2(a + b)h, where:

Using the coordinates of the trapezoid, (0,0), (1,3), (4,3), (2,0), the points have been plotted on a coordinate plane as shown in the image attached below, and we have the following dimensions of the trapezoid:

Area of the trapezoid = 1/2(a + b)h = 1/2(3 + 2)3

Area of the trapezoid = 7.5 ≈ 8 units²

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Answer: They both will get 2 pizzas

Step-by-step explanation: 4 divided by 2

Answer:

50.24

Step-by-step explanation:

8/2 = 4

3.14 x 4^2 = 50.24

Answer:

30.4

Step-by-step explanation:

17+28+32+35+59+20+19+33+30+31=304

304/10=30.4

The volume of the cone is 58.875 cubic inches. The volume of the cylinder is 176.625 cubic inches. The volume of the cylinder is three (3) times the volume of the cone.

The volume of a cone is equal to one-third (1/3) of the area of the circular base as well as the height product.

Mathematically, the volume of a cone can be expressed as:

[tex]\mathbf{V_{cone} = \pi r ^2 \dfrac{h}{3} }[/tex]

where;

[tex]\mathbf{V_{cone} = 3.14 \times (2.5 ^2)\times \dfrac{9}{3} }[/tex]

[tex]\mathbf{V_{cone} = 3.14 (2.5 ^2)\times 3 }[/tex]

[tex]\mathbf{V_{cone} =58.875\ inches ^3}[/tex]

The volume of a cylinder implies the amount of quantity of material being carried in the cylinder. The volume of the cylinder can be expressed as:

V = πr²h

V = π(2.5)² × 9

V = 3.14 × (2.5)² × 9

V = 176.625 inches³

The volume of the cylinder is three times the volume of the cone because:
[tex]\mathbf{=\dfrac{176.625 \ in^3}{ 58.875\ in^3}}[/tex]

=  3

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Answer:

The number line "D" represents the solution to 5+8x<3(2x+4)

Answer:

Solve;

5 + 8x < 3(2x + 4)

Perform the distributive property:

5 + 8x < 6x + 12

-5              -5

8x < 6x + 7

-6x     -6x

2x < 7

/2   /2

x < 3.5, so your answer is D.

Answer:

x = 1

Step-by-step explanation:

To find the vertical asymptote(s) we set the denominator to 0, but first we have to factor and simplify the function

[tex]f(x)=\frac{(x+1)(x-7)(x+10)}{(x-1)(x-7)(x+10)}[/tex]

step 1 the function is already factored so we just have to simplify it by canceling like terms

[tex]f(x)=\frac{x+1}{x-1}[/tex]

step 2 set denominator to 0 and solve for x

x - 1 = 0  

step 3 add 1 to both sides

x = 1

Answer: x = 1

By "doing the math" from the function given:

      Given:

[tex]f (x) =\displaystyle \frac{(x+1)(x-7)(x-10)}{(x-1)(x-7)(x-10)}[/tex]

      Terms in both the numerator and denominator are equal to 1:

 [tex]f (x) =\displaystyle \frac{(x+1)}{(x-1)}[/tex]

      We cannot have a denominator equal to 0, because you cannot divide by 0, so the vertical asymptote is x = 1 since 1 - 1 = 0. This can also be found by setting the denominator equal to 0 and solving for x.

By graphing:

      A vertical asymptote, put simply, is a vertical line "within" the domain, but not a part of the graph. I will graph the equation given and see what we come up with.

-> See attached

      Either way, the answer to your problem is:

x = 1

Answer:

answer A

Step-by-step explanation:

Option C is correct, the Coriolis Effect shows us that when moving from the equator towards the poles, the air is moving at the same speed.

Speed is the time rate at which an object is moving along a path,

The Coriolis Effect causes moving objects, including air, to be deflected to the right in the Northern Hemisphere and to the left in the Southern Hemisphere.

As air moves from the equator towards the poles, it experiences a change in latitude, which causes it to be deflected.

This deflection results in the formation of high-pressure and low pressure systems that move weather patterns around the globe.

The speed of the air is affected by a number of factors, including temperature, pressure, and the Coriolis Effect.

However, the Coriolis Effect does not directly affect the speed of the air as it moves from the equator towards the poles.

Therefore, the Coriolis Effect shows us that when moving from the equator towards the poles, the air is moving at the same speed.

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#SPJ2

The volume of the cylinder with the same radius and height as the cone is: 135 cm³.

Relating both volumes, we would have:

Volume of a cylinder = 3(volume of a cone), if they both have equal height and radius.

Given that a cone and a cylinder have the same radius (r) and the same height (h), and the cone has a volume of 45 cm³, therefore:

Volume of the Cylinder = 3(45)

Volume of the Cylinder = 135 cm³.

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Answer: The answer is 13, read on to find out

Step-by-step explanation: The traingles are simliar so the values are similar as well. Find a lowest common factor of the values.

The lowest common factor is 4 because all the numbers can be divided by the number 4.

20 divided by 4 is 5 which is already shown on the graph

48 divided by 4 is 12

All we have to do now is 52 divided by 4

Hope I helped you answer the question! Have a great day/afternoon!

Answer:

65

Step-by-step explanation:

[tex]\frac{3(2^5)-13(-2)+2^3}{-2^2+3^2-3} =\frac{3(32)+26+(8)}{(-4)+(9)-3} =\frac{96+34}{2} =\frac{130}{2}=65[/tex]

The equation of the line that is perpendicular to y = 4x + 5, in slope-intercept form is: y = -1/4x - 2.

Lines that are perpendicular to each other have slope that are negative reciprocal to each other.

Slope of y = 4x + 5 is 4.

Negative reciprocal of 4 is -1/4.

Substitute m = -1/4 and (a, b) = (8, -4) into y - b = m(x - a):

y - (-4) = -1/4(x - 8)

y + 4 = -1/4x + 2

y = -1/4x + 2 - 4

y = -1/4x - 2

Equation of the perpendicular line is: y = -1/4x - 2.

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Answer:

100

Step-by-step explanation:

5*5*4=100

Answer:

A is the correct answer

Step-by-step explanation:

Answer:

[tex]x=5\pm10i[/tex]

Step-by-step explanation:

[tex]y=x^2-10x+125\\\\0=x^2-10x+125\\\\0-100=x^2-10x+125-100\\\\-100=x^2-10x+25\\\\-100=(x-5)^2\\\\\pm10i=x-5\\\\5\pm10i=x\\\\x=5\pm10i[/tex]

Answer:

6 m/hr

Step-by-step explanation:

The first brother took   12/8 = 1.5 hr

the second brother took  1.5 + .5 = 2hours

  12 miles / 2 hrs =

Answer:

Taking like terms ( i.e. terms with same variables ) to left side and constant terms ( i.e. simple numbers ) to right side . .

Answer:

x = 9

Step-by-step explanation:

#1) Simplify each side.

#2) Bring x terms to the left side and numbers to the other side.

#3) Divide both sides by 4.

Hope the picture will help you!!

Answer: $17.24

Step-by-step explanation:

6.78 + (1.49 x 4) + 4.50= 17.24

First find out the value of big triangle and small triangle and - Big triangle and small triangle

Answer:

b= 26 degrees

Step-by-step explanation:

A whole circle is equal to 360 degrees, so subtract 298 from it and get 62.

62 is the gap and also the value of the whole angle b+36.

Subtract 36 from 62 to get b.

62-36 = 26 degrees

Your answer!

Using the t-distribution, as we have the standard deviation for the sample, we could claim that the mean weight in pounds is in the interval (79.1, 85.7).

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which:

The critical value, using a t-distribution calculator, for a two-tailed 99% confidence interval, with 100 - 1 = 99 df, is t = 2.6259.

The other parameters have values given by:

[tex]\overline{x} = 82.4, s = 12.6, n = 100[/tex].

We could claim that the mean is any value in the 99% confidence interval, which has bounds given by:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 82.4 - 2.6259\frac{12.6}{\sqrt{100}} = 79.1[/tex]

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 82.4 + 2.6259\frac{12.6}{\sqrt{100}} = 85.7[/tex]

More can be learned about the t-distribution at https://brainly.com/question/16162795

Answer:

63 square inches

Step-by-step explanation:

You already have the polgygon divided into two rectangles, so we will use them.

The top rectangle has the dimensions of 5 and 9.

The bottom rectangle has the dimensions of 6 and 3.

To find the area of a rectangle:

area = length x width

A = lw

The area of the top rectangle:

A = 5 x 9

A = 45 square inches

The area of the bottom rectangle:

A = 6 x 3

A = 18 square inches

To find the total area, add the two areas together.

45 + 18 = 63 square inches

Answer: d - the amount of space occupied by an object (its capacity)

Explanation:

        [a] The total distance around a figure is the perimeter, this does not answer our question.

        [b] The average of the sum of all items is the mean, this does not answer our question.

        [c] The exposed surface of a solid shape is the object's surface area, this does not answer our question

        [d] The amount of space occupied by an object is the object's volume, so this does answer our question.

Answer:

(2y)(7x-1)(2x+3)

Step-by-step explanation:

first, all the terms have a 2 and a y in common. you can take that out of every term. then i just used the quadratic x factor method, you can find out what it is via the internet, its the fastest option to factor if possible :)

Answer:

[tex]=2y (7x-1) (2x+3)[/tex]

Step-by-step explanation:

[tex]28x^{2}y + 38xy - 6y[/tex]

[tex]=2y(14x^{2} +19-3)[/tex]

[tex]=(7x-1) (2x+3)[/tex]

[tex]=2y(7x-1) (2x+3)[/tex]