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snow_lady [41]
4 years ago
11

Prove the sum of two rational numbers is rational where a, b, c, and d are integers and b and d cannot be zero.

Mathematics
2 answers:
Savatey [412]4 years ago
6 0

Answer:

Step-by-step explanation:

Since a,b,c and d are integers,

bd, ad and cb are also integers because product of two integers is an integer

Also, ad + cb is an integer because sum of two integers is an integer.

(ad + cb)/bd is a rational number

a/b + c/d is a rational number

raketka [301]4 years ago
5 0

Answer:

ad + cb / bd

Step-by-step explanation:

The answer is ad plus cb over bd

(Took test)

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Question is in the picture
Thepotemich [5.8K]

Answer:

$9.00

Step-by-step explanation:

If the price is at 30% discount, this means it is 100-30 = 70% of the original price.

70 \%  \ of \ original \ price = \$ 6.30\\\\\ original \ price = 6.30 \div 70 \%\\\\= 6.30 \times \frac{100}{70}\\\\=\frac{630}{70}\\\\= 9

Hence, original price is $9.00.

3 0
3 years ago
State the inequality that describes the region drawn in the number plane.
Svetach [21]

Answer:

y > -2x - 1

Step-by-step explanation:

The slope is -2 because it goes down 2 every time it goes over 1

The y intercept is -1

Therefore the answer is y > -2x - 1

4 0
3 years ago
Read 2 more answers
B) Find the value of (2.63 - 0.87) – 2.076
Tasya [4]

Answer:

-0.316

Step-by-step explanation:

2.63-0.87-2.076

=-0.316

Hope it helped!

5 0
3 years ago
After 5 years, Rachel’s amount in her savings account is $7446.52. Her account earned interest at 4.32% APR and was compounded d
Katyanochek1 [597]
\bf \qquad \textit{Continuously Compounding Earned Amount}\\\\
A=Pe^{rt}\qquad 
\begin{cases}
A=\textit{accumulated amount}\to &7446.52\\
P=\textit{original amount deposited}\\
r=rate\to 4.32\%\to \frac{4.32}{100}\to &0.0432\\
t=years\to &5
\end{cases}
\\\\\\
7446.52=Pe^{0.0432\cdot 5}\implies \cfrac{7446.52}{e^{0.0432\cdot 5}}=P\implies 5999.92404\approx P
5 0
3 years ago
-125>-135 divide each side by -5 what is the resulting true inequality
Reptile [31]

Answer: 25<27

Step-by-step explanation:

-125/-5=25

-135/-5=27

25<27

5 0
3 years ago
Read 2 more answers
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