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Stels [109]
3 years ago
13

P is inversely proportional to Q.

Mathematics
1 answer:
Volgvan3 years ago
7 0
If\ P\ is\ inversely\ proportional\ to\ Q\ then:\\\\P\times Q=constans\\\\P=100;\ Q=32\\\\100\times32=3200\\\\P=2Q\\\\therefore\\\\P\times Q=2Q\times Q=2Q^2\\\\2Q^2=3200\ \ \ \ |divide\ both\ sides\ by\ 2\\Q^2=1600\ \ \ \ \ |sqare\ rot\ both\ sides\\Q=\sqrt{1600}\\\boxed{Q=40}
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A farmer had a farm with animals.
Gnom [1K]

Answer: Part B

Step-by-step explanation:

3 0
3 years ago
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Please help ASAP :) this is really easy ino lol
Zanzabum

Known :

Ratio = Greg : Harry = 1 : 3

Greg's money = £8

Asked :

Harry's money = ...?

Answer :

\:  \ \:  \:  \:   \:  \:  \:  \frac{1}{3}  =  \frac{greg}{harry}  \\   \:  \:  \:  \:  \:  \:  \:  \: \frac{1}{3}  =  \frac{8}{harry}  \\ harry =  \frac{3 \times 8}{1}  \\ harry = 24

So, Harry gets £24

<em>Hope </em><em>it </em><em>helpful </em><em>and </em><em>useful </em><em>:</em><em>)</em>

5 0
3 years ago
The first term of an arithmetic sequence is 1 and the sum of the first four terms is 100. Find the first four terms ​
7nadin3 [17]

Answer:

1, 17, 33, 49

Step-by-step explanation:

given the first term is 1 then the next 3 terms are

1 + d, 1 + 2d, 1 + 3d ( d is the common difference )

the sum of the first 4 terms is 100 , then

1 + 1 + d + 1 + 2d + 1 + 3d = 100 , that is

4 + 6d = 100 ( subtract 4 from both sides )

6d = 96 ( divide both sides by 6 )

d = 16

1 + d = 1 + 16 = 17

1 + 2d = 1 + 2(16) = 1 + 32 = 33

1 + 3d = 1 + 3(16) = 1 + 48 = 49

the first 4 terms are

1, 17, 33, 49

3 0
2 years ago
Read 2 more answers
5x + 3 - 2x = 12 + 7x - 2 solution ??? SOMEONE HELPPP PLEASE !!
tensa zangetsu [6.8K]

Answer:

x = -7/4

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

5x + 3 - 2x = 12 + 7x - 2

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Combine like terms:                                                                                        3x + 3 = 7x + 10
  2. [SPE] Subtract 3x on both sides:                                                                    3 = 4x + 10
  3. [SPE] Subtract 10 on both sides:                                                                      -7 = 4x
  4. [DPE] Divide 4 on both sides:                                                                         -7/4 = x
  5. Rewrite:                                                                                                           x = -7/4

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                     5(-7/4) + 3 - 2(-7/4) = 12 + 7(-7/4) - 2
  2. Multiply:                                -35/4 + 3 + 7/2 = 12 - 49/4 - 2
  3. Add:                                      -23/4 + 7/2 = 12 - 49/4 - 2
  4. Add:                                      -9/4 = 12 - 49/4 - 2
  5. Subtract:                               -9/4 = -1/4 - 2
  6. Subtract:                               -9/4 = -9/4

Here we see that -9/4 does indeed equal -9/4.

∴ x = -7/4 is the solution to the equation.

8 0
3 years ago
Round to nearest number 29 4/5
kaheart [24]
29.8 would be the number, but rounded would be 30
5 0
3 years ago
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