Answer:
The absolute value inequality to represent the situation is presented as follows;

Step-by-step explanation:
The given information are;
The number of words Annika needs to write = 400 words
The absolute deviation of the number of words Annika needs to write = 10 words
When we let the number of words Annika write = w, we have;
The absolute value inequality given that the absolute deviation of the number of words is 10 is given as follows;
Therefore we have;
gives the statement, -10 < w - 400 < 10.
Answer:
The answer is 100.5
.
Step-by-step explanation:
To solve for the volume of the cylinder, use the cylinder volume formula, which is V =
.
Next, plug in the information given from the problem, and the formula will look like V =
.
Then, solve the equation, and the answer will be 100.5
.
Perimeter of a parallelogram = 2(l + w). But w = l - 4
Therefore, 72 = 2(l + l - 4) = 2(2l - 4) = 4l - 8
4l = 72 + 8 = 80
l = 80/4 = 20
w = 20 - 4 = 16
Therefore, length = 20 meters and width = 16 meters
Given:
The ratio is
.
To find:
Inverse tangent of the given ratio.
Solution:
We know that,
Inverse tangent of the ratio
= 
= 
Using scientific or graphing calculator, we get
Inverse tangent of the ratio
= 
Round to the nearest degree
Inverse tangent of the ratio 
Therefore, the correct option is C.
In this question, we're trying to find cost of one sandwich.
To find this, we must make a systems of equation from the given information:
We would represent sandwiches as "s" and drinks as "d".
Systems of equations:
6s + 4d = 53
4s + 6d = 47
Solve for s:
6(6s + 4d = 53)
-4(4s + 6d = 47)
36s + 24d = 318
-16s - 24d = -188
--------------------------
20s = 130
Divide both sides by s
s = 6.50
This means that one sandwich costs $6.50
Answer:
$6.50