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3 years ago

P is inversely proportional to Q.

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

Read 2 more answers

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

Hope it helpful and useful :)

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:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

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

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

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

Step 2: Solve for x

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

Step 3: Check

Plug in x into the original equation to verify it's a solution.

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