Answer:
x=2
Step-by-step explanation:
Here what we need is that the ratios be equal, which is:
x:(5/2) = 8:10 or, what is the same:
x/(5/2) = 8/10
Lets pick the left term x/(5/2) and multiply both numerator and denominator by 2 to eliminate the fraction on the denominator:
2x/2(5/2) = 2x/5
Now, we would like to make a 10 appear on the denominator. As we already have a five we need to multiply numerator and denominator by the num that, multiplied by 5 gives as 10, this is 2:
2(2x)/2(5) = 4x / 10
So, we transformed x/(5/2) in 4x/10, and both are the same, so we can replace it on our first equation:
4x/10 = 8/10
As both denominators are equal, we can concentrate only in numerators:
4x = 8
Dividing both sides by 4:
x = 2
So, for x=2 both ratios are equivalents.
So there is 75 boxes of 12 right? You would figure out how much sticks you have by multiplying then you have to give them to 23 teachers. You take the total of sticks and divide among each teacher
I hope this helps :)
Answer:
the first one is x= 6-3y or if you are going to solve with the y it will be y =2 - x/3
the second one if you are solving for x it will be x= 2/3 + y if you are solving for y it will be x = 2/3 + x
Step-by-step explanation:
hope this helps
Answer:
(the relation you wrote is not correct, there may be something missing, so I will simplify the initial expression)
Here we have the equation:
We can rewrite this as:
Now we can add and subtract cos^2(x)*sin^2(x) to get:
We can complete squares to get:
and we know that:
cos^2(x) + sin^2(x) = 1
then:
This is the closest expression to what you wrote.
We also know that:
sin(x)*cos(x) = (1/2)*sin(2*x)
If we replace that, we get:
Then the simplification is:
To find the mean, add the numbers, and divide by the amount of numbers there is.
(82 + 105 + 247 + 119 + 94 + 202)/6
Simplify. Remember to follow PEMDAS. First, add
(849)/6
Next, divide by 6
849/6 = 141.5
141.5 should be your answer
hope this helps
