Suppose that the maximum weight that a certain type of rectangular beam can support varies inversely as it’s length and jointly as its width and the square of its height. Suppose also that a beam 5 inches wide, 2 inches high and 10 feet long can support a maximum weight of 8 tons. What is the maximum weight that could be supported by a beam that is 6 inches wide, 2 inches high, and 24 feet long

Answers

Answer 1

Way: W = k * w  * h^2/ L

Answer 2

4 tons is maximum weight that could be supported by a beam that is 6 inches wide, 2 inches high, and 24 feet long

What is Weight?

Gravitational force of attraction on an object, caused by the presence of a massive second object, such as the Earth or Moon.

Given,

Maximum weight that a certain type of rectangular beam can support varies inversely as it’s length and jointly as its width and the square of its height.

beam 5 inches wide, 2 inches high and 10 feet long can support a maximum weight of 8 tons.

W = k × w × h²/ L

8 = k × 5 × 2² / 10

8 = k ×20/10

8 = 2 × k

k = 4

The maximum weight that could be supported by a beam that is 6 inches wide, 2 inches high, and 24 feet long

w =4 ×6 ×2² / 24

= 24 ×4/ 24

W=4 tons

Hence 4 tons is maximum weight that could be supported by a beam that is 6 inches wide, 2 inches high, and 24 feet long

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Related Questions

PLZ HELP
A total of 800 advertisements were sold for a certain magazine. If 80 percent of the first 150 sold in color, 40 percent of the next 400 sold in color, and 80 percent of the next 80 were sold in color, what percent of the 800 magazines were sold in color?

Answers

Answer: 43 percent

Explanation:
First you have to find how many of each group were sold. To do this you multiply the number given(150, 400, or 80) by the percent as a decimal.

So for the first 150 you multiply 150 by .80
150*.8=120

The next 400 would be 400*.4=160

The next 80 would be 80*.8=64

Now you add up the totals found.
120+160+64=344

Finally divide this number by the total 800 and multiply the decimal by 100 to convert it to percent.
344/800=.43
.43*100=43

43 percent

Answer:60 %

Step-by-step explanation:

I am stuck on how to do this, can someone please help?
1. Compute the total, and then fill in the rest of the ratio table given the different quantities that
have been set to 100. Make sure to always use the numbers in the first row to avoid round off error. Note the header row with titles is not counted as the “first” row. The first one is done for you.

Answers

Answer:

whats the problem about addition or subtraction or what then ill help u and post in comments

Step-by-step explanation:

a patio is rectangular. Its length is 8.27 meters and it's width is 4.2 meters. what is the approximate perimeter of the patio?

Answers

Answer: P≈24.94m

Step-by-step explanation:

P=2(l+w)=2·(8.27+4.2)≈24.94m

How do I evaluate this

Answers

Answer:

18

Step-by-step explanation:

Plug in 3 for x

2(3)^2

2(3*3)

2*9

18

Answer:

The answer is 18

Step-by-step explanation:

2x², x = 3

Evaluate 3

2(3)²

2 × 9 = 18

Thus, The answer is 18

-TheUnknownScientist 72

Super simple, just don't know if I am right or not.

Answers

The answer is 100% true
When it is graphed it points up over x axis
See pic

A bank is offering home loans at an interest rate of 52%. Express the percent
as a fraction in simplest form.

Answers

Answer: 13/25

Step-by-step explanation:

52/100 divided by 4/4

= 13/25

PLEASE SOME ANSWER QUICKLY!!!!

Answers

Answer:

D

Step-by-step explanation:

The range is the y-values of a function. In this case, it would be 2, 4, 9, 16

Write168 to the nearest hundred

Answers

Answer:

200

Step-by-step explanation:

6 is closer to 10 than 0

Hi, Which statement is True?

Answers

Answer:

The second one is true

Step-by-step explanation:

Find the percent decrease. Round to the nearest percent.


From 85°F to 60°F

Answers

The answer would be 75%

Answer:

Percent Decrease ≈ 30%

Step-by-step explanation:

Let's first find what part of 85 is 60

60/85 = 12/17

12/17 = 0.70588 ≈ 0.70 = 70%

Now, since 85 is 100%, and 60 is 70% of 85, the percent decrease is :

100% - 70% = 30%

-Chetan K

Hi, wanted to know if this looks correct to you guys, please leme know?

Answers

Answer:

yep all looks good to me

Step-by-step explanation:

Plz help I need help

Answers

Answer:

1.025

Step-by-step explanation:

divided 6.15 by 6 to get 1.025

in math, the word dilate means to

Answers

Answer: it means to make larger or smaller.

Step-by-step explanation:

it means to make larger or smaller.

Answer:

A dilation is a transformation that changes the size of a figure. It can become larger or smaller, but the shape of the figure does not change. ... Knowing the scale factor allows you to predict what the image will look like after the dilation.

Step-by-step explanation:

What is the common difference in the arithmetic sequence 30, 27, 24, 21, 18, ...?

Answers

Answer:

common difference is 3 you take each number from left to rifht and subtract so thr answer is 15

The common difference is -3.

The graph of y = x^2 is translated 1 unit to the right. What is the equation of the new graph?
1) y = (x + 1)^2
2) y = (x - 1)^2
3) y = x^2 + 1
4) y = x^2 - 1

Answers

Answer: 2

Step-by-step explanation:

If the number was OUTSIDE the exponents it represents a movement up or down

If the number is inside the parenthesis and exponent ex: (x-1)^2 then it decides a movement on the left or right

However inside the parenthesis it is reversed, so a - is move to the right and a + is moved to the left, this making your answer (x-1)^2

- Gage Millar, Algebra 2 Tutor

Identify the axis of symmetry of the parabola.

A. X=5

B. X=4

C. X=6

D. X=3

Answers

9514 1404 393

Answer:

  B.  x = 4

Step-by-step explanation:

The axis of symmetry is the vertical line through the vertex. This parabola has its vertex at (4, -1), so the axis of symmetry is x = 4.

what is the LCD of 4/7 1/6

Answers

Answer:

The denominators can be made equal by finding the least common denominator (LCD), which is 42 in this case.

Step-by-step explanation:

Hope i helped!

find all the zeros of the quadratic function y=x²-9x+20

Answers

Answer:

Roots: x = 5; x = 4

Step-by-step explanation:

Given the quadratic equation, x² -9x + 20 = 0

where a = 1, b = -9, and c = 20

Determine the nature and number of solutions based on the discriminant, b² - 4ac:  

b² - 4ac = (-9)² - 4(1)(20) = 1

Since b² - 4ac > 0, then it means that the equation will have two real roots.

Use the Quadratic Formula:

[tex]x = \frac{-b +/- \sqrt{b^{2} - 4ac} }{2a}[/tex]

[tex]x = \frac{-(-9) +/- \sqrt{(-9)^{2} - 4(1)(20)} }{2(1)}[/tex]

[tex]x = \frac{9 +/- \sqrt{1}}{2}[/tex]

[tex]x = \frac{9 + 1}{2}; x = \frac{9 - 1}{2}[/tex]

[tex]x = \frac{10}{2}; x = \frac{8}{2}[/tex]

x = 5; x = 4

Therefore, the roots of the quadratic equation are: x = 5; x = 4.

8252 to base six

i'm struggling so bad

Answers

Answer:

6^5

because i used a calculator enjoy

A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the time read exactly 7 : 40 p.m. At this time, he started pumping gas into the tank. At exactly 7 : 45 , the tank was full and he noticed that he has pumped 12.3 gallons. What is the average rate of flow of the gasoline into the gas tank

Answers

Answer: 2.46 gallons per minute.

Step-by-step explanation:

12.3 divided by 5 is 2.46.

7. Kate bought 4 pounds of apples
for $10.80. How much did it cost for
one pound of apples?

Answers

Answer:

Step-by-step explanation:

$10.80 for 4 pounds of apples

How much for 1 pound?

$10.80/4 pounds = cost of 1 pound of apples

answer: $2.70

PLS HELP ME UNDERSTAND THIS

Answers

Answer:

-1

Step-by-step explanation:

can be soled by substitution remember BEDMAS

can also be written like this

((-2)-2*(-0.5))^3

-1 is the answer
Calcutense this to that and ejejsjekw sueñen con la que me has mandado el video del día del año que me paso en el día del año pasado

2. (Opts) A ladder leans against the wall of a building. The length of the ladder is 9 feet
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of the top of the ladder reaches up the side of the building is 7 feet longer than the
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sides of the triangle formed by the ladder leaning against the building.

Answers

thank you far donating ur points...✌

btw

#sry fa the spam

Given b(x)= (-3,7), state what the coordinates of this point will be of the following transformations are effected: 2b(x)

Answers

The point translated up 7 and left 3. This will cause the point to go from (-3,7) to (-6,14)

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Answers

This is algebra, so the first step would be to combine like terms. Instead of adding 3x to 7x like they should’ve, they instead subtracted 3 from 5 ignoring the fact that they’re different numbers on different sides of the equation.

7x + 3x = 10
5 - 21 = -16
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-16/10 = -1.6
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Judging by how this is formatted however, x=-16/10

15 ) Kayla has 14.5% of her salary placed into an Individual
Retirement Account. What fraction is this? *
1/2
22/100
2/3
29/200

Answers

Answer:

29/200

Step-by-step explanation:

Turn all fractions into percentages by dividing the numerator by the denominator then multiply the quotient by 100 to get it in percent.

1/2 = 50%

22/100 = 22%

2/3 = 66.7%

29/200 = 14.5%

Now that we turned all fractions into percents, we can see that 29/200 is that answer since its percentage is 14.5%.

40 24 56
16 ? 72
8 48 32​

Answers

Answer:

32

Step-by-step explanation:

8x4=32oooooooooooooooooooooooo

find the measure of the angle indicated, WILL GIVE
BRAINLIEST!!

Answers

Answer:

m < S = 40°

Step-by-step explanation:

According to the Triangle Exterior Angle Postulate, the measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.

The exterior angle is m < R = 140°.  In reference to the Triangle Exterior Angle Postulate, the sum of the measures of < T and < S must equal 140°.

Given m < T =  (8x + 4)°

          m < S = (3x + 4)°

We can set up the following equality statement to solve for the value of x:

m < R = m < T + m < S

140° = (8x + 4)° + (3x + 4)°

Combine like terms:

140° = 11x + 8

Subtract 8 from both sides:

140° - 8 = 11x + 8 - 8

132° = 11x

Divide both sides by 11:

132°/11 = 11x/11

12 = x

Substitute the value of x into the equality statement to verify whether it is the correct value:

140° = (8x + 4)° + (3x + 4)°

140° = [8(12) + 4]° + [3(12) + 4]°

140° =  (96 + 4)° + (36 + 4)°

140° = 100° + 40°

140°  = 140° (True statement. Therefore, the correct value for x = 12).

Therefore, m < S = (3x + 4)° = [3(12) + 4]° = 40°

Please mark my answers as the Brainliest if you find this helpful :)

Does (4, 0) make the equation y = 6x true?

Answers

Answer: No

Step-by-step explanation: it would be  (0,4)

if 25 articles cost $43.75 how much does each cost?​

Answers

Answer:

$1.75

Step-by-step explanation:

I had this question and got it right!

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