Answer:
8 meters
Step-by-step explanation:
First you calculate 10% of 1,015 which is about 101.
Then you add 101 to 1,015 for the second lap distance, which is 1,116
Then you find 11/12 of 1,116 which is 1,023
Finally you subtract 1,023 by 1,015 to get 8.
Answer:
<em>The sound level would be at 80 decibels at 1 or 7 number of measures played</em>
Step-by-step explanation:
<u>Equations with Absolute Values</u>
We have the function s to represent the sound level in decibels:
Where x is the number of measures of the music played.
We are required to find the value of x that makes s=80 decibels. We have to find the equation:
Subtracting 50:
Dividing by 10:
For the absolute value be equal to 3, its argument could be positive or negative:
Or
This leads us to two solutions:
x=7
Or
x=1
The sound level would be at 80 decibels at 1 or 7 number of measures played
Answer:
x ≤ − 9
Step-by-step explanation:
x + 5 ≤ − 4
Subtract 5 from each side
x + 5-5 ≤ − 4-5
x ≤ − 9
Answer:
x = 31.12
Step-by-step explanation:
First find the base (hypotenuse) of the smaller triangle (the isosceles triangle): Its three sides are 11, 11 and b. b can be found using the Pythagorean Theorem: b^2 = 11^2 + 11^2 = 242. Then b = √242, or b = approximately 15.56.
b (which is approximately 15.56) is the shorter leg of the large (right) triangle. The trig function needed to solve for x is the cosine:
adjacent side
cos 60 degrees = ----------------------
hypotenuse,
15.56
which becomes (1/2) = ------------
x
Solving this for x, we get: x = 2(15.56) = 31.12
Answer:
Total cost = 983.8
Step-by-step explanation:
Monthly charge = 39.95
One time set up fee = x
Number of months = y
Total cost = x + 39.95y
The total cost of 6 months of service is 264.70.
264.70 = x + 39.95(6)
264.70 = x + 239.7
264.70 - 239.7 = x
x = 25
Total cost = 25 + 39.95y
Write and solve a linear equation to find the total cost for 2 years of service
2 years = 24 months
Total cost = 25 + 39.95y
= 25 + 39.95(24)
= 25 + 958.8
= 983.8
Total cost = 983.8
