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Mumz [18]
3 years ago
8

Hamdan says that when you add fractions with the same denominator, you can add the numerators and keep the same denominator. Is

Hamdan correct?
Mathematics
1 answer:
Elina [12.6K]3 years ago
6 0

Answer:

Yes, Hamdan is correct.

Step-by-step explanation:

Let the two fractions are q/r and s/r.

Here, the denominator is same for both the fractions.

So, as we add them, add the numerators and the denominators remains same.

\frac{q}{r}+\frac{s}{r}\\\\=\frac{q + s}{r}

For example

\frac{3}{5}+\frac{4}{5}\\\\=\frac{3 + 4}{5}\\\\=\frac{7}{5}

So, Hamdan is correct.

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* The nth term of sequence A is 3n − 2 The nth term of sequence B is 10 − 2n Sally says there is only one number that is in both
Nina [5.8K]

Answer:

Sally is not right

Step-by-step explanation:

Given the two sequences which have their respective n^{th} terms as following:

Sequence A. 3n - 2

Sequence B. 10 - 2n

As per Sally, there exists only one number which is in both the sequences.

To find:

Whether Sally is correct or not.

Solution:

For Sally to be correct, we need to put the n^{th} terms of the respective sequences as equal and let us verify that.

3n-2=10-2n\\\Rightarrow 3n+2n=10+2\\\Rightarrow 5n=12\\\Rightarrow n = \dfrac{12}{5}

When we talk about n^{th} terms, n here is a whole number not a fractional number.

But as per the statement as stated by Sally n is a fractional number, only then the two sequences can have a number which is in the both sequences.

Therefore, no number can be in both the sequences A and B.

Hence, Sally is not right.

7 0
3 years ago
Which equation can be used to find the value of x?
Dafna11 [192]

Answer:

C

Step-by-step explanation:

We know every triangle equals 180 so were just going to take 180 - 42 = 138 then were going to do 138 - 67 = 71  we can check our work by doing

42 + 67+ 71 = 180. We also know 67 + 42 = 109.

Lets look at our answers;

A. 109 = 180 + x  When solved it gave me; x = -71. We got a positive 71 so this is incorrect.

B. x + 42 = 67   When solved it gave me;  x = 25, which is incorrect.

C. x = 180 - 109 When solved it gave me; x = 71

D. 42 + 67 - x = 180 When solved it gave me; x =  - 71

Therefore the answer is C.

6 0
3 years ago
Solve for x. Geometry problem.
barxatty [35]

Answer:

12.33

Step-by-step explanation:

6x - 2 + 9x - 3 = 180° (linear pair)

6x + 9x - 2 - 3 = 180°

15x - 5 = 180°

15x = 180 + 5

15x = 185

x = 185/15

x = 12.33

hope this helps you!

5 0
3 years ago
What is a tenth of a decimal ?
trapecia [35]
One decimal place to the left decimal point is the place.
8 0
4 years ago
Sanjay read 56 pages of his book this weekend.This is 35% of the pages in the book.How many pages are in Sanjays book?
Maurinko [17]
1. 56 : 35 = 1.6
2. 1.6* 100 = 160
3. The answer is 160
3 0
4 years ago
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