Answer:
no solution
Step-by-step explanation:
The absolute value function always gives a positive value, that is
| - a | = | a | = a
Given
- 10 | 5x + 5 | = 100 ( divide both sides by - 10 )
| 5x + 5 | = - 10
The absolute value cannot be negative thus the equation has no solution
The anwser would be (2x-5)(3x+1).
Answer:
The least possible score Pia can earn on the fourth assignment and still be able to finish the week with an average score of 90 on all five assignments is 86
Step-by-step explanation:
The information given are;
Pia's scores in the first three assignments = 87, 85, and 92
The question asks to find upon finishing the week's five assignments the least possible score that Pia can earn on the fourth assignment and still be able to have an average score of 90 on all five assignments
Let the least score required to have an average score of 90 on all five assignments be X
If X is the least score to obtain an average of 90 for the five assignments, then fifth assignment score, will be maximum possible score obtainable to allow the attainment of the average score of 90 which is 100, which gives;
(87 + 85 + 92 + X + 100)/5 = 90
∴ 5 × 90 = 450 = 87 + 85 + 92 + X + 100 = 364 + X
X = 450 - 364 = 86
Therefore, the least possible score Pia can earn on the fourth assignment and still be able to finish the week with an average score of 90 on all five assignments = 86.
Answer:
Given that is a 45-45 triangle, the hypotenuse should be <em>x</em>, so in this case. The hypotenuse should be 3, and the other side lengths 3. I see no other way of it going other than that one; I hope I helped at least a bit!
Step-by-step explanation:
Answer:
Trey lives 384 feet.
Step-by-step explanation:
Let the average rate be represented by s, and the distance by d.
speed =
⇒ distance = speed x time
i.e d = s x t
On his first trip,
d = s x 8
d = 8s ............ 1
on his trip home, the average rate was 16 miles per hour faster, so that;
d = (s + 16) x 6
d = 6s + 96 ............ 2
Equation 1 and 2, we have;
8s = 6s + 96
8s - 6s = 96
2s = 96
s = 48
The average rate is 48 miles per hour.
Thus from equation 1 (also equation 2 can be used),
d = 48 x 8
= 384
Therefore, Trey lives 384 feet from the mountains.