There were 300 jelly beans in the bag. that includes the green ones.
Answer:
rate of the plane in still air is 33 miles per hour and the rate of the wind is 11 miles per hour
Step-by-step explanation:
We will make a table of the trip there and back using the formula distance = rate x time
d = r x t
there
back
The distance there and back is 264 miles, so we can split that in half and put each half under d:
d = r x t
there 132
back 132
It tells us that the trip there is with the wind and the trip back is against the wind:
d = r x t
there 132 = (r + w)
back 132 = (r - w)
Finally, the trip there took 3 hours and the trip back took 6:
d = r * t
there 132 = (r + w) * 3
back 132 = (r - w) * 6
There's the table. Using the distance formula we have 2 equations that result from that info:
132 = 3(r + w) and 132 = 6(r - w)
We are looking to solve for both r and w. We have 2 equations with 2 unknowns, so we will solve the first equation for r, sub that value for r into the second equation to solve for w:
132 = 3r + 3w and
132 - 3w = 3r so
44 - w = r. Subbing that into the second equation:
132 = 6(44 - w) - 6w and
132 = 264 - 6w - 6w and
-132 = -12w so
w = 11
Subbing w in to solve for r:
132 = 3r + 3(11) and
132 = 3r + 33 so
99 = 3r and
r = 33
2. The absolute value of -8 is 8. True
3. An isosceles triangle has three congruent sides.
Nope. It has two
4. The cosine is the ratio between the length of the opposite leg to the length of the hypotenuse.
I have no idea.
5. The boiling point of water is 212°C.
true
6.
The expression 28xyz has 4 terms.
true
7.
Shapes that have the same size and shape are said to be similar.
false
8.
The points where the sides of a polygon meet are called the vertexes.
true
9. A heptagon is a seven-sided polygon.
true (hexagon)
10.
An acute angle has more than 90° but less than 180°.
true
Reflection and translation