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Lena [83]
3 years ago
8

Which of the following represents “two times the sum of a number and fifteen is esqueleto to six times the number”?

Mathematics
1 answer:
Vika [28.1K]3 years ago
4 0

Answer:

2(n + 15) = 6n

Step-by-step explanation:

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What is the volume of the shape?
expeople1 [14]

Volume of the bottom rectangle:

12 x 4.5 x 5.5 = 297 cubic cm

Volume of triangle:

1/2 x 12 x 5 = 30 x 4.5 = 135 cubic cm

Total volume = 297 + 135 = 432 cubic cm

8 0
3 years ago
A rectangular tank that is 2048 ft cubed with a square base and open top is to be constructed of sheet steel of a given thicknes
lyudmila [28]

Answer:

<em>16ft by 16ft by 8ft.</em>

Step-by-step explanation:

Let the total surface area of the rectangular tank be S = 2LW+2LH+2WH where;

L is the length of the box

W is the width of the box

H is the height of the box.

Since the box is openend at the top, S = lw + 2lh+ 2wh

If the base is a square base then, l = w

S = l(l) + 2wh+2wh

S = l²+4wh ............... 1

If volume = lwh

lwh = 2028 ft³

wh = 2048/l ................ 2

Substitute equation 2 into 1;

S = l²+4(2048/l)

S = l²+8192/l

dS/dl = 2l - 8192/l²

If dS/dl = 0 (since we are looking for dimensions of the tank with minimum weight.)

2l - 8192/l² = 0

2l = 8192/l²

2l³ = 8192

l³ = 8192/2

l³ = 4096

l =∛4096

l = 16 ft

Since the length is equal to the width, hence the width = 16ft (square based tank)

Given the volume V = lwh = 2048

lwh = 2048

16*16*h = 2048

256h = 2048

divide both sides by 256

256h/256 = 2048/256

h = 8ft

<em>Hence, the dimensions of the tank with minimum weight is 16ft by 16ft by 8ft.</em>

4 0
3 years ago
Wetlands offer a diversity of benefits. They provide a habitat for wildlife, spawning grounds for U.S. commercial fish, and rene
lianna [129]

Answer:

The solution can be defined as follows:

Step-by-step explanation:

Wetland Percentage:

0] 9\\\\1] None\\\\2] 0 4 7\\\\3] 0 3 5 5 5 7 8\\\\4] 2 2 5 5 8\\\\5] 0 0 1 1 5 9 9\\\\6] 0 8\\\\7] 1\\\\8] 7 7 9\\\\9] 0\\

  • These details are very symmetrical, perhaps pretty biased.
  • There might be a gap whereby shows that none of the 48 lowest states have lost 10 to 19% of all its wetlands.
  • These statistics were distributed between 20% and 60%.
3 0
3 years ago
hannah travels 6 times as many to work as raoul does together they travel 633 minutes how many does hannah travel
musickatia [10]
The answer is 3798 ............
5 0
3 years ago
Determine the fraction of total interest owed using the rule of 78. After the six month of a 12 month loan, the numerator is: {(
Dima020 [189]

Answer:

The fraction of total interest owed is  \frac{57}{78}

The value of it to the nearest tenth is 73.1%

Step-by-step explanation:

Let us solve it using the rule of 78

∵ The loan = 12 month

∵ The numerator is after 6 month

- Substitute n by 1 in each bracket

∴ The numerator = {(1 + 11) + (1 + 10) + (1 + 9) + (1 + 8) + (1 + 7) + (1 + 6)}

∴ The numerator = {12 + 11 + 10 + 9 + 8 + 7}

∴ The numerator = {57}

∴ The numerator of the fraction is 57

∵ The denominator = {(n) + (n + 1) + (n + 2) + .......... + (n + 11)}

- substitute n by 1 in each bracket

∴ The denominator = {1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12}

∴ The denominator = {78}

∴ The denominator of the fraction is 78

The fraction of total interest owed is  \frac{57}{78}

Now find the value of the fraction

∵ The fraction = \frac{57}{78}

∴ Its value = 0.7307692308 × 100%

∴ Its value = 73.07692308%

- Round it to the nearest tenth

∴ Its value = 73.1%

The value of it to the nearest tenth is 73.1%

5 0
3 years ago
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