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zmey [24]
3 years ago
9

Solve for c.

Mathematics
2 answers:
Mrrafil [7]3 years ago
7 0

<u>Answer:</u>

The answer is c = \frac{d+ab}{a}

<u>Solution:</u>

When a sum of two numbers is multiplied by a number, the number can be distributed to the addends separately, then adding the products together will produce the same result as multiplying sum by the number. This property is called distributive property of multiplication.

To find the value of, a(c-b)=d

On applying the distributive property of multiplication which is [a\times(b+c)=a\times b+a\times c]

Here we get,

a\times(c-b)=a\times c-a\times b

So the equation will be,

a\times c-a\times b=d

ac-ab=d

ac=d+ab

c=\frac{d+ab}{a} or \frac{d}a+\frac{ab}{a}

Lostsunrise [7]3 years ago
7 0

Answer:

c

Step-by-step explanation:

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Umnica [9.8K]

Answer:

(a) 88 integers

(b) 92 integers

Step-by-step explanation:

(a) integers whose last digits are divisible by 2 are multiples of two or numbers whose digits ends with zero. So for number 1-120 , all the even numbers which are sixty in number are are multiples of two.

For  3, numbers whose digits sum is divisible by three are multiples of three. 3,6,9,12,15,18,21,24,27,30 are multiples of three from numbers 1-30. we have four 30s in 120. which means numbers of integers will be 10*4 = 40integers. However out of these numbers , half are also integers of 2 which reduces the number added to 20integers.

For 5, numbers whose digits ends with 5 or 0 are multiples of 5. this gives us 24 integers for 1-120. but out of these 24integers, 16 are common integers of 2 and 3 which reduces the number added to 8integers.

Thus from 1-120 the intergers of 2,3 or 5 = 60+20+8 = 88integers.

(b) if we are considering from numbers 1-140;

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For 7, numbers 7,14,21,28,35,42,49,56,63,70 are multiples of three from 1-70. This pattern is repeated from number 71-140. hence we have 20 integers in all. However 12 of the multiples are also multiples of either 2 or 5 which reduces the number to 8 integers.

Thus from 1-140, the integers of 2, 5, or 7 = 70+14+8 = 92integers

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