Answer:
Hey buddy, here is your answer. Hope it helps you.
Step-by-step explanation:
144 students enter a spelling bee contest.
Step 1
For the semi final round we are told that only 1/6 of the group will make it into that round.
This is calculated as
1/6 × 144/students = 24 students.
This means that only 24 students would make it into the semi final rounds.
Step 2
We are also told in the question that only 2/3 of THAT group would make it into the final round.
" THAT" group been referred to in the question means the number students that made it to the semi final round
This is calculated as
2/3 of that group( the group that made it to the semi finals)
= 2/3 × 24 students
= 16 students.
Therefore, the number of students that will enter the final round of the spelling bee is 16 students.
A). because B,C, and D didnt really make any sence
Answer:
Step 2
Step-by-step explanation:
Meredith made a fatal mistake or error in step 2;
Any quadratic problem will always have two solutions. Therefore since, we only have one solution here, it is wrong. The mistake was incurred in step 2;
From the given problem ;
<u> Wrong right</u>
2(x + 4)² = 242
(x + 4)² = 121 Step 1
x+4=11 Step 2 x + 4 = ± 11
x = 7 Step 3 x + 4 = 11 or x + 4 = -11
x = 11- 4 or x = -11 - 4
x = 7 or -15
Answer:
b. might or might not
Step-by-step explanation:
Theorem:
If f is a continuous function in a bounded interval, it must have an absolute maximum.
In this question:
The interval is 2x^4+6y^2 >= 152, which goes to infinite, meaning it is not bounded, and so the function might or might not have an absolute maximum, and the correct answer is given by option b.
First, let's multiply the first equation by two on the both sides:
<span>8x + 7y = 39 /2
</span>⇒ 16x + 14y = 78
Now, the system is:
<span>16x + 14y = 78
</span><span>4x – 14y = –68
</span>
After adding this up in the column:
(16x + 4x) + (14y - 14y) = 78 - 68
20x = 10
⇒ x = 10/20 = 1/2
y can be calculated by replacin the x:
<span>8x + 7y = 39
</span>⇒ 8 · 1/2 + 7y = 39
4 + 7y = 39
7y = 39 - 4
7y = 35
⇒ y = 35 ÷ 7 = 5