Answer:
p=2
Step-by-step explanation:
-7p = -3p - 8
Add 3p to each side
-7p+3p = -3p+3p - 8
-4p = -8
Divide each side by -4
-4p/-4 = -8/-4
p = 2
Answer:
a=109° b=71°
Step-by-step explanation:
All the angles in a parallelogram add up to 360. There are a few rules:
The opposite angles are congruent.
Consecutive angles are congruent.
We can apply these rules here.
71 is opposite to b
and a is consecutive to 71 so we can put together these equations.
180=71+a
71=b
we can simplify to get the answers
the end
Answer:
x= 1 or x=7
Step-by-step explanation:
2 x 2− 16 x + 14 =0
2 (x−1) (x−7)=0
x−1=0 or
x−7=0
x=1 or x=7
Let's assume that Kirby walks with a speed

for a time

, and that he runs with a speed

for a time

.
The total time available for Kirby to catch the train is:

and this must be equal to the sum of the two times t1 and t2:
The distance Kirby should cover is

and this should be equal to the sum of the distances covered by walking and by running:

So we have a system of 2 equations:


If we solve the system, we find:


So, Kirby needs to run at least for 8 minutes in order to catch the train.
There is a 1/4 chance to pull a non-yellow card