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yaroslaw [1]
4 years ago
8

Solve the equations in two different ways:6p=0.6(5p+15)

Mathematics
1 answer:
Damm [24]4 years ago
6 0

Answer:

Step-by-step explanation:

1st way:

Solve directly

6p=0.6(5p+15)

Open bracket

6p = 3p + 9

Collecting like terms

6p - 3p = 9

3p = 9

Dividing by 3

p = 9/3

p = 3

2nd way:

6p=0.6(5p+15)

Convert the decimal to fraction

6p= 6/10(5p+15)

6p= 3/5(5p+15)

6p= 3/5(5p) +3/5(15)

6p = 3p + 9

Collecting like terms

6p - 3p = 9

3p = 9

Dividing by 3

p = 9/3

p = 3

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What is the value of 5x^3+4y^3 when x=4 and y=3?
Liula [17]

Answer:

428

Step-by-step explanation:

5x^3+4y^3

Let x=4 and y=3

5 * (4)^3 + 4 *(3)^3

5 *64 + 4* 27

320 + 108

428

4 0
4 years ago
The cone and cylinder above have the same radius and height. The volume of the cone is 210 cubic centimeters. What is the
Juli2301 [7.4K]

Answer:

706.3 cm³

Step-by-step explanation:

<u>Given</u>

<em>"The cone and cylinder above have the same radius and height..."</em>

<em>the volume of the cone = 210 cubic centimeters</em>

<u>Formula</u>

The formula for the volume of a cylinder is V=Bh or V=πr2h. The radius of the cylinder is 8 cm and the height is 15 cm. Substitute 8 for r and 15 for h in the formula V=πr2h.

<u>How to solve</u>

Given radius and height calculate the volume, lateral surface area, and total surface area.

Calculate V, L, A | Given r, h

use the formulas above

Given radius and volume calculate the height, lateral surface area, and total surface area.

Calculate h, L, A | Given r, V

h = V / πr2

Given radius and lateral surface area calculate the height, volume, and total surface area.

Calculate h, V, A | Given r, L

h = L/2πr

Given the height and lateral surface area calculate the radius, volume, and total surface area.

Calculate r, V, A | Given h, L

r = L/2πh

Given height and volume calculate the radius, lateral surface area, and total surface area.

Calculate r, L, A | Given h, V

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5 0
3 years ago
Range of 100,212,215,303,308,600
Shalnov [3]

Answer:

The range is 500 :)

Step-by-step explanation:

the range is the difference between the largest number, in this case 600 and the smallest number, 100. So you do 600-100 which gives you 500.

4 0
2 years ago
Read 2 more answers
Put in a new
mr_godi [17]

Answer:

$110

Step-by-step explanation:

The first step would be to multiply 11 and 5 to get the result of 55.

Then, you would multiply 55 by whatever the cost per square yard is, which in this case is $2.

Finally after multiplying 55 and 2 you would get the answer of $110.

Hope this helped! Have a great day! :)

3 0
3 years ago
By the square property, if b is a real number , and a2=b, then a=
Serggg [28]

Answer:

a=\sqrt{6},\:a=-\sqrt{6}

Step-by-step explanation:

Given

  • b is a real number
  • a^2=b

as

\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}

so

a^2=6

a=\sqrt{b},\:a=-\sqrt{b}

Therefore,

a=\sqrt{6},\:a=-\sqrt{6}

5 0
3 years ago
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