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anzhelika [568]
3 years ago
15

Solve ax + by = c, for b

Mathematics
2 answers:
Elanso [62]3 years ago
8 0

Answer:

b= \frac{c-ax}{y}

Step-by-step explanation:

We can solve the question by isolating the variable

Step 1: Subtract ax from both sides.

ax+by=c\\\\ax+by-ax=c-ax\\\\by=-ax+c

Step 2: Divide both sides by y.

\frac{by}{y} = \frac{-ax+c}{y}\\\\\\b= \frac{-ax+c}{y}

The answer is:

b= \frac{c-ax}{y}

defon3 years ago
6 0

Answer:

b=c-ax/y

Step-by-step explanation:

1) ax + by = c

-ax

2) by = c - ax

3) by/y = b and c - ax/y

4) b = c-ax/y

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List all the factor pairs for the number 56
maks197457 [2]
1, 2, 4, 7, 8, 14, 28, and 56
8 0
3 years ago
Read 2 more answers
Evauluate the expression 6^2 + x -x^2 for x = 3
Bas_tet [7]

Answer:

30

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

Step-by-step explanation:

<u>Step 1: Define</u>

6² + x - x²

x = 3

<u>Step 2: Evaluate</u>

  1. Substitute in <em>x</em>:                     6² + 3 - 3²
  2. Exponents:                           36 + 3 - 9
  3. Add:                                      39 - 9
  4. Subtract:                               30
8 0
3 years ago
A product goes from $25 to $27 in price. The product has a percent increase of _____. 7.4% 74% 8% 80%
nordsb [41]

Answer:

8%

Step-by-step explanation:
8% of $25 is $2. $25 to $27 is a $2 increase so therefore the product's price has had a 8% increase.

7 0
3 years ago
The graph of a parabola is represented by the equation
mestny [16]

Answer:

It will become narrower/steeper

Step-by-step explanation:

To find out how the new parabola will behave, just substitute in numerous values for a and x.

Then compare this to the original graph and you will clearly be able to distinguish the differences between the two graphs.

7 0
3 years ago
By driving 8 mph faster than Bob, John can make a 230 mile trip in one half hour less.How fast does Bob drive on the trip? Round
aivan3 [116]

Answer:

  57 mph

Step-by-step explanation:

Let b represent Bob's speed on the trip. Then his time is ...

  time = distance/speed

  Bob's time = 230/b

Then John's speed is b+8, and his time is ...

  John's time = 230/(b+8)

The difference of their times is 1/2 hour:

  Bob's time - John's time = 1/2

  230/b -230/(b+8) = 1/2 . . . substitute the expressions for time

  460(b+8 -b) = b(b+8) . . . . . multiply by 2b(b+8)

  b^2 +8b -3680 = 0 . . . . . . .put in standard form

  (b +4)^2 -3696 = 0 . . . . . . . add 16-16 to complete the square

  b = -4 +√3696 ≈ 56.795 . . . solve for positive b

Bob's drove about 57 mph on the trip.

3 0
3 years ago
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