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ella [17]
3 years ago
15

How to solve n-5*2/3=3/4

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
5 0

n-5\cdot\dfrac{2}{3}=\dfrac{3}{4}\\\\n-\dfrac{10}{3}=\dfrac{3}{4}\ \ \ \ |\cdot12\\\\12n-12\cdot\dfrac{10}{3}=12\cdot\dfrac{3}{4}\\\\12n-4\cdot10=3\cdot3\\\\12n-40=9\ \ \ \ |+40\\\\12n=49\ \ \ \ \ |:12\\\\n=\dfrac{49}{12}

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the sum of four consecutive integers is 2174. what are the integers? (continuation) the smallest of four consecutive integers is
timofeeve [1]
The smallest of the four numbers is x.
Since the four numbers are consecutive, this means that each number is one more than the previous.
Therefore, the four numbers are:
x
x + 1
x+1 + 1 = x+2
x+2 + 1 = x+3

Now, we are given that the sum (s) of the four numbers is 2174
This means that:
s = x+x+1+x+2+x+3
s = 4x + 6

We are given that s = 2174. Substitute with s in the above equation and solve for x as follows:
2174 = 4x + 6
4x = 2174 - 6
4x = 2168
x = 2168 / 4
x = 542

Based on the above calculations, the four numbers are:
542, 543, 544 and 555

7 0
3 years ago
Read 2 more answers
Aristotle was born in 384 BC. Ron Howard was born in 1952 AD. HOW many years apart were they born?
rodikova [14]
The answer is 2336 cause bc was before Christ ad us after death so if we add them that's the answer
6 0
3 years ago
PLEASE HELP ME WITH THIS THANKS
kotykmax [81]

Answer:

SA = 1244.64 square centimeters

Step-by-step explanation:

From the attached figure

The formula of the surface area of the prism is SA = 2B + PH, where

  • B is the area of its base
  • P is the perimeter of its base
  • H is the distance between its bases

The base of the prism is a regular hexagon with side 8 cm

If you join each vertex of the hexagon with its center you will form 6 congruent triangles with base 8 cm and height 6.93 cm

The area of the hexagon = 6 × area of a triangle

∵ The base of the triangle = 8 cm

∵ Its height = 6.93 cm

- The formula of the area of a triangle is A = \frac{1}{2} × base × height

∴ Area of the triangle = \frac{1}{2} × 8 × 6.93 = 27.72 cm²

- Lets find the area of the hexagon

∴ The area of the hexagon = 6 × 27 .72 = 166.32 cm²

∴ B = 166.32 cm²

The formula of the perimeter of the regular hexagon is P = 6 × s, where s is the length of its side

∵ The side of the hexagon is 8 cm

∴ P = 6 × 8

∴ P = 48 cm

∵ The distance between the two bases is 19 cm

∴ H = 19 cm

Substitute the values of B, P and H in the formula of the surface area above

∵ SA = 2(166.32) + (48)(19)

∴ SA = 332.64 + 912

∴ SA = 1244.64 square centimeters

7 0
3 years ago
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8 0
3 years ago
The perimeter of a rectangle is 64 feet. If one side of the rectangle has a length of 20 feet. How long is the other side?
Sauron [17]

Answer:

b=12

Step-by-step explanation:

Perimeter=2*(l+b)

64=2*(20+b)

b=12

4 0
3 years ago
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