Answer:
x = 19.5
Step-by-step explanation:
-2x + 7 = -32 (subtract 7 on both sides)
-7 -7
-2x = -39 (Divide by -2)
x = 19.5
Principal clements needs to buy 10 packages
<em><u>Solution:</u></em>
Given that, Principal clements wants to buy a pencil for each of the 57 fourth graders in her school
The pencils come in packages of 6
Therefore,
Total number of students = 57
<em><u>Thus, divide 57 by 6 to get the number of packages clements need to buy</u></em>
<em><u></u></em>
<em><u>Substituting the given values we get,</u></em>

Thus principal clements needs to buy 10 packages
Answer:
D 4.5
..........................................
Answer:
22years
Step-by-step explanation:
The sum of ages of people in the room is 40 * 5= 200
[ Remember mean = total ahead of people/ number of people]
Let the age of the 6th person be X
200+x. / 6 = 37
200 + x = 37 * 6 = 222
x = 222- 200 = 22
Answer:
3√3
Step-by-step explanation:
If sinx = 4/8, find Cos (6x)
we need to first find cos
but applying trigonometry rule
sin²x+cos²x = 1
sinx = 4/8
sin²x = (4/8)² = 4²/8² = 16/64
from the rule
cos²x= 1 -sin²x = 1-16/64 = 64-16/64 = 48/64 = 3/4
cos²x = 3/4
cos x = √3/4 = √3/2
cos 6x = 6 x √3/2 = 3√3