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3 years ago

Donatella and annasara shared some money in the

Mathematics

1 answer:

SVEN [57.7K]3 years ago

4 0

Answer:

£30

Step-by-step explanation:

Since the ratio of Donatella and Annasara's amount is in the ratio 4:5,

Let's say Donatella and Annasara have 4x and 5x of money.

Since Annasara has £6 more than Donatella, we can say,

5x = 4x + £6

or, 5x - 4x = £6

or, x = £6

Hence,

Amount that Annasara has = 5x

 = 5*£6

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

stealth61 [152]

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:

4 0

3 years ago

If a varies directly as b, and a = 28 when b = 7, find b when a = 5.

Jlenok [28]

Answer:

Value of b = $\frac{5}{4}$ =1.25.

Step-by-step explanation:

Direct Variation states that a relationship between two variables in which one is a constant multiple of the other.

*if one variable changes the other changes in proportion to the first.

*If a is directly proportional to b i.e,

$a \propto b$ then it is of the form

a = kb ;where k is constant variation.

Given: a varies directly as b;

then, by definition of direct variation;

we have;

$a = kb$ .....[1]

Substitute the value of a =28 and b =7 to solve for k;

$28 = k(7)$

Divide both sides by 7 we have;

$\frac{28}{7}=\frac{7k}{7}$

Simplify:

k =4

now, find b using same method when a =5;

then;

after substituting the value of a = 5 and k=4 in [1] ;

$5=(4)b$

Divide by 4 to both sides we get;

$b =\frac{5}{4}$

Therefore, the value of b = $\frac{5}{4}$ =1.25

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2 years ago

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