30 pencils multiplied by 1/6 is equal to 30/6. Reduce 30/6 to lowest term by dividing 30 by 6. The quotient of 30 and 6 is 5. Therefore, Jake used 1/6 or 5 pencils of the 30 pencils in a pack.
So there are a totally of 52 cards right?(not counting jokers because jokers are not in official cards)
And there are 4 aces right?
So there are 52 outcomes and 4 of them are aces.
So when we write probabilities we write it in fraction form where the total number of outcomes is the denominator and the ones you want to get are the numerator OK?
So the total number is outcomes is 52 and becomes the denominator and 4 the number of aces become the numerator.
So 4/52 right?
And we now have to simplify it right?
And so we divide by the highest common factor right?
In this case 4 because there isn’t other numbers that are factors and greater than 4.
So 4 divided by 4/52 is 1/13 right?
4 goes into 4 1 time and 13 times into 52.
So your answer is 1/13
Answer:
-28 = x
Step-by-step explanation
[5x + 20] + [4x - 8] = 180
9x + 12 = 180
- 12 -12
______________
9x = 168
18⅔ = x
m∠EBC = 5[18⅔] + 20 = 113⅓
93⅓
You will get a negative answer if you set them equal to each other, which is not allowed when you are talking about <em>length</em><em>.</em>
I hope this is correct, and as always, I am joyous to assist anyone at any time.
Answer:
see explanation
Step-by-step explanation:
Given
f(x) = ax + b
x = 2 → f(x) = 1 and x = - 1 → f(x) = - 5 ( from the table )
Substitute these values into f(x) = ax + b, that is
2a + b = 1 → (1)
- a + b = - 5 → (2)
Subtract (2) from (1) term by term to eliminate b
3a = 6 ( divide both sides by 3 )
a = 2
Substitute a = 2 into (2) and evaluate for b
- 2 + b = - 5 ( add 2 to both sides )
b = - 3
(b)
When x maps onto itself then
ax + b = x, that is
2x - 3 = x ( subtract x from both sides )
x - 3 = 0 ( add 3 to both sides )
x = 3
Thus a = 2, b = - 3 and x = 3
Okay, so if e=110, then so does c, because they are Alternate Interior angles. If c=110, then so does a, because they are Alternate Exterior. Angles a and b are on a straight line, which equals 180 altogether, and 180-110 is 70, so the measure of angle b is 70.
Hope this helps ya
