Answer:
65
Step-by-step explanation:
so first you want to find out how fast Henry can solve the problems
26 problems in 2 minutes
that means 13 problems per minute
then 13*5=65
Answer:
Associative Property of Multiplication.
Step-by-step explanation:
(self-explanatory)
I hope this helps, have a nice day.
Answer:
what??
Step-by-step explanation:
We can write the question as a mathematical formula as follows:
1000 * 0.08 = m * 0.05 + c * 0.2
1000 = m + c
where m are pints of milk and c are pints of cream
So solving the first equation with m = 1000 - c
1000*0.08 = (1000-c)*0.05 + c*0.2
80 = 50 - 0.05c + 0.2c
80-50 = (0.2-0.05)*c
30 = 0.15*c
c = 30/0.15
c = 200
m = 1000-200 = 800
So the dairy needs 800 pints of milk and 200 pints of cream
Answer:
D
Step-by-step explanation:
First, let's find <em>x</em>.
We know that one of the angles is 30. The side opposite to than angle is 11, and <em>x</em> is the adjacent side to it. Therefore, we can use the trig function tangent.
Recall that:

Plug in 30 for the angle, 11 for the opposite, and <em>x</em> for the adjacent. Solve for <em>x</em> by cross-multiplying:

From the unit circle, recall that tan(30) is equal to one over the square root of 3. Thus:

Now, we can use the Pythagorean Theorem to find <em>y</em>. <em>y</em> is the hypotenuse. Thus:
