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.
Answer: f(-3) = -27 & f(3) = 27
Step-by-step explanation:
(-3)^3
-27
(3)^3
27
Answer: y = 6 - 4x
Step-by-step explanation: Find the slope: (y2-y1) / (x2-x1). In this case, [2-(-6)] / (-1-1) = 8/-2 = -4. Then write it in intercept form, substituting in a point for y and x: 2 = a -4(-1). Then balance to get a = 6. So y = 6 - 4x
For this case we can make the following rule of three:
0.3472 $ -----> 1.00 turkish lira
$ 30 -----------> x
Clearing x we have:
x = (30 / 0.3472) * (1)
x = 86.40552995 turkish lira
Answer:
the same dozen roses costs:
x = 86.40552995 turkish lira
First of all We will need to find the area of the cube with side 2.5 inches...
- Side is denoted by the variable a which is equal to 2.5 in our case
Let us assume that 1 gram of sand covers 1 in², So the maximum amount of sand that could fit is 6.25 grams of sand...~
