Answer:
12 pints
Step-by-step explanation:
There are 24 students & each one gets 1 cup, so you will need 24 cups total. There are 2 cups in a pint. You divided the 24 cups you need by 2 cups in a pint to get the answer of 12 pints.
You can double check: 12 pints converted to cups (2 cups in a pint) is 12 x2 = 24 cups
<span>When a </span>radius<span> is drawn to a point of tangency, the </span>angle formed<span> is always a right angle.
Basically, the 2 tangents and the radii form a quadrilateral.
The 3 angles on the right are 90, 111 and 90 degrees.
Therefore, the fourth angle = 360 -90 -111 -90
Which equals 69 degrees.
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Hey there! I'm happy to help!
PART A
Let's look at our two equations.
y=3x-5
y=6x-8
We will solve this with substitution because we have two different values for y, so it will be be very easy to substitute.
We know that y is equal to 6x-8. This means that we can replace the y in the first equation with 6x-8 and then solve for x.
6x-8=3x-5
We add 8 to both sides.
6x=3x+3
We subtract 3x from both sides.
3x=3
We divide both sides by 3.
x=1
We can plug this x-value into either of our equations to figure out what y is.
y=6(1)-8
y=6-8
y=-2
Therefore, our solution is x=1 and y= -2.
PART B
When graphing the two equations in a systems of equation, the point where they intersect is the solution. We already have our solution, so now we will just write it as a point, which is (1,-2).
Have a wonderful day! :D
