Answer:
7 5/12
Step-by-step explanation:
3+2=6
2/3 + 3/4 = 8/12 + 9/12 = 17/12 = 1 5/12
1 + 6= 7 5/12
Answer:
w=-13/4
w=2
Step-by-step explanation:
|8w+5|=21
Step by step solution :
STEP
1
:
Rearrange this Absolute Value Equation
Absolute value equalitiy entered
|8w+5| = 21
STEP
2
:
Clear the Absolute Value Bars
Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is |8w+5|
For the Negative case we'll use -(8w+5)
For the Positive case we'll use (8w+5)
STEP
3
:
Solve the Negative Case
-(8w+5) = 21
Multiply
-8w-5 = 21
Rearrange and Add up
-8w = 26
Divide both sides by 8
-w = (13/4)
Multiply both sides by (-1)
w = -(13/4)
Which is the solution for the Negative Case
STEP
4
:
Solve the Positive Case
(8w+5) = 21
Rearrange and Add up
8w = 16
Divide both sides by 8
w = 2
Which is the solution for the Positive Case
STEP
5
:
Wrap up the solution
w=-13/4
w=2
Answer:
3x+18
Step-by-step explanation:
3 (x+6)
Distribute
3x+3*6
3x+18
Answer:
37.1 ft
Step-by-step explanation:
Draw a right triangle with a horizontal side and a vertical side going up from one endpoint of the horizontal side. These two sides form the right angle of the triangle. Then draw a hypotenuse. The hypotenuse has length 40 ft. The acute angle at the end to the horizontal side measures 51°.
Let the length of the vertical side be y.
sin 51° = y/40
y = 40 * sin 51°
y = 31.1
The horizontal side of the triangle is not the ground. It is at the height of Jennifer's hand. Now we add 6 ft to the height.
31.1 ft + 6 ft = 37.1 ft
Answer: 37.1 ft
Answer/Step-by-step explanation:
Part A:
![Key:\left[1 Adult = 4 Student]](https://tex.z-dn.net/?f=Key%3A%5Cleft%5B1%20Adult%20%3D%204%20Student%5D)

<u> 12 Student = 3 Adult</u>
<u>24 Student = 6 Adult</u>
<u>40 Student = 10 Adult</u>
Part B:
33 Student
Hence, divide 33 by 4 = 8 with a remainder of 1.
Therefore, 8 Adult and for the remainder 1 student either one Adult takes 5 Student or Needed 9 Adult.