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3 years ago

How do I set up proportion’s and also cross multiply

Mathematics

1 answer:

xenn [34]3 years ago

6 0

Answer:

u transpose all the constans to one side of the '=' sign and solve

Step-by-step explanation:

for example,

in the first question

the sides of the triangles are proportional then,

25/30 = x/ 10

=> (25x10)/30 = x

=> 250/30 = x

=> 8.33

im pretty sure like this u can do the rest, ;)

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3^x= 3*2^x solve this equation

kompoz [17]

In the equation

$3^x = 3\cdot 2^x$

divide both sides by $2^x$ to get

$\dfrac{3^x}{2^x} = 3 \cdot \dfrac{2^x}{2^x} \\\\ \implies \left(\dfrac32\right)^x = 3$

Take the base-3/2 logarithm of both sides:

$\log_{3/2}\left(\dfrac32\right)^x = \log_{3/2}(3) \\\\ \implies x \log_{3/2}\left(\dfrac 32\right) = \log_{3/2}(3) \\\\ \implies \boxed{x = \log_{3/2}(3)}$

Alternatively, you can divide both sides by $3^x$ :

$\dfrac{3^x}{3^x} = \dfrac{3\cdot 2^x}{3^x} \\\\ \implies 1 = 3 \cdot\left(\dfrac23\right)^x \\\\ \implies \left(\dfrac23\right)^x = \dfrac13$

Then take the base-2/3 logarith of both sides to get

$\log_{2/3}\left(2/3\right)^x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x \log_{2/3}\left(\dfrac23\right) = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(3^{-1}\right) \\\\ \implies \boxed{x = -\log_{2/3}(3)}$

(Both answers are equivalent)

8 0

3 years ago

PLEASE HELP ME OUT!!

andrey2020 [161]

Short answer A
This one is exactly the same (with number changes) as the last one. You cannot use t which is in time, to mix with pure numbers which in this case is grams. That means that both C and D are incorrect.

Now as with the last one, are you going to raise e to a minus number or a plus number? Remember that if e is raised to a plus number, the sample in this case will increase. You are watching a radioactive decay. The number has to be smaller. So B is eliminated. There is only one answer left and that's A. It should be correct.

A <<<<< answer

8 0

3 years ago

Using radicals, what is an equivalent expression for the expression 2 1/3

faltersainse [42]

Answer:

Step-by-step explanation:

21/3

3 will council it self one and 21 7times

4 0

3 years ago

marcos has a coin collection. His collection started with 25 coins. He adds 8 coins to his collection every month. Based on this

avanturin [10]

Answer: G does not show the relationship

Step-by-step explanation:

x is the number of months and he originally had 25 coins. The correct representation of this equation would be y=8x+25 since he adds 8 coins every month. So, G does not show the relationship.

8 0

3 years ago

Which formula is used to find the volume of a pyramid? A) Area of its base · height. B) 1 2 (Area of its base · height) C) 1 3 (

serg [7]

Answer:

the formula for finding the volume of a pyramin is (lenght*width*height)/3

or (area of base*height) divided by 3

Step-by-step explanation:

3 0

3 years ago

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