Answer:
Step-by-step explanation:
The direction of movement of Jordan on his birthday forms a right angle triangle. His movement from his house to his parents due south represents the opposite side of the right angle triangle. His movement due west represents the adjacent side and the movement back home along the straight line, d represents the hypotenuse. To determine d, we would apply the Pythagorean theorem. Thus
d² = 6² + 4² = 52
d = √52 = 7.2 km
The total distance that he drove on his birthday is
6 + 4 + 7.2 = 17.2 km
The given inequality is:
This inequality can be divided in two parts as:
a)
b)
Solving part a:
Solving part b:
Therefore, the solution to the given inequality is
and
. Combining both the ranges we get the solution:
.
In interval notation, this solution can be expressed as [1,5]
Answer:
1. No
2. No
3. No
4. Yes
5. Yes
Step-by-step explanation:
Answer:
10.5 is the answer
Step-by-step explanation:
4(5y−8−2)=185−15
(4)(5y)+(4)(−8)+(4)(−2)=185+−15(Distribute)
20y+−32+−8=185+−15
(20y)+(−32+−8)=(185+−15)(Combine Like Terms)
20y+−40=170
20y−40=170
20y−40+40=170+40
20y=210
20y/20=210/20
y=21/2
y=10.5
At the beginning, there are 15 pigs without ribbons. one of the pigs receives a ribbon. how many are left ribbonless?
<span>14. when another pig is given a ribbon, there are 13 left. after all the ribbons have been given out, 3 of the 15 pigs have ribbons. </span>
<span>if any one of the 15 at the beginning is given a ribbon, there are 15 possible combos. for the second ribbon, there are 14 combos- but each of those combos has to go through the first 15. for the third ribbon, there are 13 combos, going through 14 and 15. </span>
<span>simply put, 15 x 14 x 13.</span>
