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Lera25 [3.4K]
3 years ago
10

Make B the subject of the relation : 1/a is equal to 1/b + c​

Mathematics
1 answer:
stealth61 [152]3 years ago
4 0

Answer:

By making ‘a’ the subject, I believe you mean isolate the variable ‘a’.

1/a - 1/b = 1/c : add 1/b to both sides

1/a = 1/b + 1/c : combine the unlike fractions by finding a common denominator, bc is the common denominator

1/a = (1/b)(c/c) + (1/c)(b/b) : simplify

1/a = (c/bc) + (b/bc) : add numerators only, because the denominators match

1/a = (c + b)/bc : multiply both sides by a

1 = (a)[(c + b)/bc] : multiply both sides by the reciprocal of [(c + b)/bc] which is [bc/(b + c)]

1[bc/(b + c)] = a

a = bc/(b + c)

This will not work if c = -b, because then you would be dividing by zero.

Example: 1/2 - 1/3 = 1/6 a = 2, b = 3 c= 6

a = bc/(b + c) => 2 = (3 x 6)/(3 + 6) => 2 = 18/9 => 2 = 2.

Step-by-step explanation:

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Mark simplified 3/5 + 5/8 his work is shown below. Identify where he made his error.
iren2701 [21]

Answer:

Step 1

Step-by-step explanation:

Mark simplified 3/5 + 5/8 using the steps below:

Step 1: 3/5 * 8/5

Step 2: 3 * 8 / 5 * 5

Step 3: 24/5

Step 4: 4 4/5

Mark's error is in Step 1 where he changed the addition sign to multiplication sign.

The correct solution is:

Step 1: \dfrac{3}{5}+ \dfrac{5}{8}\\Step 2:  \dfrac{24+25}{40}\\Step 3:  \dfrac{49}{40}\\Step 4: 1\dfrac{9}{40}

6 0
3 years ago
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Effectus [21]
the answer will be bbcuz
7 0
3 years ago
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
kow [346]

Answer:

616 cm²

Step-by-step explanation:

To find the area of a circle you use the formula A = π · r²

So we know that the diameter is 28 cm, to find the radius we would divide this in half, because d = 2r, giving us 14. Now we can do 14² which is 196, and then times that by pi or in this case 22/7.

196 × (22/7) = 616

3 0
3 years ago
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Plssss helppppp!!!!!!!!!
Ira Lisetskai [31]

Answer:

it is two because one apple plus one apple equals two

it is 2

8 0
3 years ago
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The baseball coach is 70 inches tall. How tall is the child?
tankabanditka [31]

The child is <u>59.4 inches tall</u>, assuming the length from the coach's shoulder to his head cap is approximately 10 inches.

<h3>What is Heigth?</h3>

Height refers to the vertical distance between the top and bottom of something.

Height measures the length of some objects or persons vertically to determine whether it is high or low, according to some ascertained criteria.

<h3>Data and Calculations:</h3>

Baseball coach's height = 70 inches

Coach's shoulder to head = 10.6 inches

Height of the child standing slightly below the coach's shoulder = 59.4 inches (70 - 10.6)

Thus, the child standing slightly below the coach's shoulder is 59.4 inches tall.

Learn more about height measurements at brainly.com/question/73194

#SPJ1

<h3>Question Completion:</h3>

Assume that the height of the coach from his shoulder to the head is 10.6 inches.

6 0
1 year ago
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