Answer: 2
Step-by-step explanation:
Answer:
The original number was: x = 0
Step-by-step explanation:
Let 'x' be the number
Given that:
Dan first divides it by 5
x/5
Then adds 3
x/5 + 3
To get an answer of 3
x/5 + 3 = 3
now solving the expression
Subtract 3 from both sides
Simplify
Multiply both sides by 5
Simplify
Therefore, the original number was: x = 0
Answer:
Part 1)
Part 2)
Part 3)
Part 4)
Step-by-step explanation:
Part 1) what is the value of side XY?
we know that
In the right triangle XYZ
Applying the Pythagoras Theorem
substitute the values
Part 2) what is the value of sin(x)?
we know that
In the right triangle XYZ
------> the sine is equal to divide the opposite side angle (x) by the hypotenuse
substitute the values
Part 3) what is the value of cos(x)?
we know that
In the right triangle XYZ
------> the cosine is equal to divide the adjacent side angle (x) by the hypotenuse
substitute the values
Part 4) what is the value of tan(x)?
we know that
In the right triangle XYZ
------> the tangent is equal to divide the opposite side angle x by the adjacent side angle (x)
substitute the values
(5x^2-21x-20)/(5x^2-16x-16)
((x-5)(5x+4))/((x-4)(5x+4))
(x-5)/(x-4)
x² - 3 x - 54 = x² + 6 x - 9 x - 54 = x ( x + 6 ) - 9 ( x + 6 ) = ( x + 6 ) ( x - 9 )
x² - 18 x + 81 = ( x - 9 )²
x² + 12 x + 36 = ( x + 6 )²
... = ( x + 6 ) · ( x - 9 ) / ( x - 9 )² * ( x + 6 )² / ( x + 6 ) = ( after cancellation )
= ( x + 6 )² / ( x - 9 )
After solving the given problem, I’ve been able to get 3(x-2) / 2(x-3) as the simplified form of the given equation. I am hoping that this answer has satisfied your query and it will be able to help you, and if you would like, feel free to ask another question.
If I understand clearly, the expression is
(18st^4/52s^3t)(16s^3/9s^2t)
To simply the expression, we simply have to multiply the constants and reduce the product to the lowest terms and apply the laws on exponents to simplify the variables. So, the answer would be:
8t^2/13s
(40v^2)/(35v^4) / (20v^3)/(5v)
(8)/(7v^2) / (4v^2/1)
(8)/(7v^2) * (1 / 4v^2)
2/(7v^4)
There is 2/3 cup of pineapple juice used for every 1/3 cup of orange juice. If you have 1 cup of orange juice, that is 3 times more than 1/3 cup. So you multiply 2/3 pineapple juice and 3 to get an answer of 2 cups of pineapple juice. You can also look at it as there being a ratio of 2:1, pineapple to orange. So there is always twice the amount of pineapple juice than orange juice. So if you have 10 cups of pineapple juice, you have 5 cups of orange juice.