Answer:
the line will have a point at -5, as that is it's y- intercept, and the slope is one so each following point is one diagonal to it on the right side, as the slope is positive
Step-by-step explanation:
First we need the equivalence between cups and pints to solve this question, the equivalence is:
1 cup is 0.5 pint
So we can use a rule of three simple, direct proportion to solve the problem, we change the fraction 1/4 = 0.25 to ease calculations:
1 cup ----> 0.5 pint
0.25 cup ---> x
x = (0.25)(0.5)/1
x = 0.125
Therefore 1/4 cups is equivalent to 0.125 pints
Answer:

Step-by-step explanation:
Supplementary angles are angles equal to 180°.
Therefore:

Now that we have our equation, let's distribute the
and the
into the parentheses they are next to:

Combine like terms:

Subtract
from both sides of the equation:

Divide by the coefficient of
, which is
:

~
Check your work by substituting
into one of the equations above:



It's correct!
For
, on the left we have
, and on the right,

(where we use the double angle identity:
)
Suppose the relation holds for
:

Then for
, the left side is

So we want to show that

On the left side, we can combine the fractions:

Recall that

so that we can write




(another double angle identity:
)
Then recall that

which lets us consolidate the numerator to get what we wanted:

and the identity is established.
Answer:
Each is equally likely . The probability of rolling less than 7 is equal to the probability of rolling 1 or 2 or 3 or 4 or 5 or 6. That is 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 6/6.