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3 years ago

405 over 750 in reduced fractions

Mathematics

1 answer:

My name is Ann [436]3 years ago

7 0

Answer:

27/50

Step-by-step explanation:

405/750

Divide by five

We have 81/150

Divide by 3

We have 27/50

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Please help with 15, 17 and 19

Irina-Kira [14]

Given:

15. $\log_{\frac{1}{2}}\left(\dfrac{1}{2}\right)$

17. $\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)$

19. $2^{\log_2100}$

To find:

The values of the given logarithms by using the properties of logarithms.

Solution:

15. We have,

$\log_{\frac{1}{2}}\left(\dfrac{1}{2}\right)$

Using property of logarithms, we get

$\log_{\frac{1}{2}}\left(\dfrac{1}{2}\right)=1$ $[\because \log_aa=1]$

Therefore, the value of $\log_{\frac{1}{2}}\left(\dfrac{1}{2}\right)$ is 1.

17. We have,

$\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)$

Using properties of logarithms, we get

$\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)=-\log_{\frac{3}{4}}\left(\dfrac{3}{4}\right)$ $[\because \log_a\dfrac{m}{n}=-\log_a\dfrac{n}{m}]$

$\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)=-1$ $[\because \log_aa=1]$

Therefore, the value of $\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)$ is -1.

19. We have,

$2^{\log_2100}$

Using property of logarithms, we get

$2^{\log_2100}=100$ $[\because a^{\log_ax}=x]$

Therefore, the value of $2^{\log_2100}$ is 100.

6 0

3 years ago

The expression (8-3)^2-(5-2)^2 is equivalent to what numerical expression

Tresset [83]

(8-3)²-(5-2)²
Follow the PEMDAS
P-Parenthesis
E-Exponents
M/D-Multiplication/Division
A/S-Addition/Subtraction
clear the numerals in the parenthesis:
(5)²-(3)²
Now do the exponents:
=25-9
=16
Its just: (5)²-(3)²

7 0

3 years ago

A. Convert 39/7 to a mixed number

saul85 [17]

The answer to this question is A). 39 b). 56

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3 years ago

12. At noon the temperature was 30 degrees Celsius. At night it becomes 25 degrees Celsius. How

yawa3891 [41]

Answer:

5 degrees colder

Step-by-step explanation:

You take the starting point then subract the ending point and you get your answer. But in order to know if its colder or warmer is to know that the higher the number, the hotter, and the lower the number, the colder.

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3 years ago

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Answer ASAP!!! I know I am asking a lot of questions

natta225 [31]

Answer:

-1.2 Degree Fahrenheit.

Step-by-step explanation:

Since,

The average daily changes, total changes/number of days

Here,

The total changes = - 16.8° F ( - sign shows the decreasing )

And, the number of days = 14

So,

The average daily rate of change in the high temperature in degrees Fahrenheit is -1.2° F.

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3 years ago

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