Answer:
x=9
y=4
z=4
Step-by-step explanation:
9x-13=7x+5
9x-7x=5+13
2x=18
x=18/2=9
3y=12
y=12/3=4
11z-41=5z-17
11z-5z=-17+41
6z=24
z=24/6=4
Your answer is correct in the sense that 14 ≤ x ≤22 since the temperature is 18 ° plus/minus 4°. However, the wording of the problem implies that it wants your final answer in terms of absolute value.
Based on your work, you understand the basics of the problem, and you correctly expressed it as an inequality. The problem is how to express it with an absolute value and only one inequality sign.
The word "within" implies that ≤ is the correct symbol, rather than < (you were correct to use that symbol)
We can word the expression in this way: The difference between the real temperature and 18° is less than or equal to 4. Difference in this sense is a positive number whether the real temperature is lower or higher than 18, so absolute value is implied.
We can express it mathematically this way:
|18-x| ≤ 4
Plug a few numbers in for X to make sure it makes sense.
If X equals 16 (within the range), |18-16| = 2, which is less than 4
If X equals 20, |-2| equals 2, which is less than 4
If X equals 10, |18-10| = 8, does not comply with our inequality.
Answer:
The length of the diagonal of the TV screen is 51.40.
Step-by-step explanation:
Given:
Aspect ration of Screen = 16:9
Also The Width (w) from exercise 4 is = 25.2
We need to find the length of the diagonal of the TV screen.
Solution first we will find the Length (l) of the TV screen
Now we know that;
Substituting the value of width 'w' we get;
Hence Length (l) =44.8
Now we know that;
Diagonal of TV screen is equal to Square root of sum of square of Length (l) and width (w).
framing in equation form we get;
Diagonal of TV screen =
Hence The length of the diagonal of the TV screen is 51.40.
Complete question :
Chris has 7/8 yards of purple ribbon and 1 1/6 yards of green ribbon. Chris has a total of 3 2/3 yards of ribbon. How many yards of Chris's ribbon are neither purple nor green.
Answer:
1.625 yards
Step-by-step explanation:
Purple ribbon = 7/8 yards
Green ribbon = 1 1/6 yards = 7/6 yards
Total ribbon = 3 2/3 yards = 11/3 yards
Ribbon that is neither purple nor green :
Total ribbon - (green + purple ribbon)
7/8 - (7/6 + 7/8)
11/3 - (28 + 21) / 24
11/3 - 49/24
= 1.625 yards
Answer: 0
Step-by-step explanation:
Using the Trigonometric values table or unit circle, calculate the expression.