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3 years ago

Solve the following equations: 5–(6+9x)=9–(4x–1)

Mathematics

1 answer:

Advocard [28]3 years ago

8 0

Answer:

x=4/13

Step-by-step explanation:

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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

HELP PLS :) its for my class

Elis [28]

Answer:

about 170

Step-by-step explanation:

i say thi because 360 into 4 quadrants is 90 per qudrant than tge second quadrant is almost full so i put the answer nearly 2 quadrants

8 0

3 years ago

A crew of highway workers paved 14 mile in 16 hour. If they work at the same rate, how much will they pave in one hour?

Novosadov [1.4K]

14 miles.....16hours
xmiles.......1hour

14x1=14
14/16=0,88 miles

4 0

3 years ago

If the area of the larger circle is 25 times the area of the smaller circle, then the radius of the larger circle is how many ti

IrinaVladis [17]

Answer:

easy peasy (again)

Step-by-step explanation:

given is that, area of the larger one is 25 times more than the smaller one

so, just put it in the area formula,

let the radius of the larger circle be represented by = R

and of the smaller circle be = r

then, (pi) (R)^2 =25 x (pi) (r)^2

=> dividing the equation by pi on both sides, also taking square root on both sides

=> R = 25 r

that would be the radius of the larger circle is 25 times bigger than the smaller radius

(all u need is to pay attention to the data given in the question and the relation between all that data itself) then it'll look like magic of how the question gets solved...the answer is always in front of you, only thing is to look harder ...good luck with what you are aiming to achieve

3 0

3 years ago

PLAESE HELP ASAP!!!!

vovikov84 [41]

11 5/8 + 9 1/2= 21 1/8
3/4 - 2/5= 7/20
4 5/6 - 2 1/2= 2 1/3
I think these are right, I apologize if they are wrong.

5 0

3 years ago

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