Answer:
or 
Step-by-step explanation:
Multiply both sides of the equation by 
Simplify both sides of the equation.
or
<em>hope this helps :)</em>
Answer:
Step-by-step explanation:
3n to the third power+11
n=2
so, 3x2=6, so to simplify take 3x2 three times and make it 9x6=54 then add 11 so it becomes 56+11=65
so the answer is D.
Answer:
Step-by-step explanation:
We have been given that at midnight, the temperature was 
. At noon, the temperature was 
.
Since our temperature has increased to 23 degree Fahrenheit from -8 degree Fahrenheit, we can represent this increase in temperature as:
Therefore, the expression represents the increase in temperature.
9514 1404 393
Answer:
a. x, x+2, x+4
b. 10 ≤ 3x+6 ≤ 24
c. 6 ft, 8 ft, or 10 ft
Step-by-step explanation:
<u>Given</u>:
- The lengths of the sides of a certain triangle, in feet, are consecutive even integers.
- The perimeter of this triangle is between 10 feet and 24 feet inclusive.
<u>Find</u>:
a. Using one variable, write three expressions that represent the lengths of the three sides of the triangle.
b. Write a compound inequality to model this problem.
c. Solve the inequality. List all possible lengths for the longest side of the triangle.
<u>Solution</u>:
You have let x represent the shortest side. (Note that the question asks for the length of the longest side.)
a. The expressions for side lengths can be x, x+2, x+4 when x is the shortest side.
__
b. Here is the compound inequality
10 ≤ x+(x+2)+(x+4) ≤ 24
__
c. Here is the solution
10 ≤ 3x+6 ≤ 24 . . . . collect terms
4 ≤ 3x ≤ 18 . . . . . . . subtract 6
4/3 ≤ x ≤ 6 . . . . . . . . divide by 3
<em>Your working is correct, but incomplete</em>. The values of interest are the even integers x+4.
5 1/3 ≤ x+4 ≤ 10
The longest side may be 6 ft, 8 ft, or 10 ft.
The answer is A) x = 6
<span>3(4x-3) - 19 = 8x-4
12 x - 9 - 19 = 8x - 4
12x - 8x = -4 + 9 + 19
4x = 24
4x / 4 = 24 / 4
x = 6</span>
