Two-fifths of one less than a number is less than three-fifths of one more than that number. What numbers are in the solution se
2 answers:
Answer:
B
Step-by-step explanation:
Let the number = x
2/5 (x - 1)
<
3/5 (x + 1)
2/5 (x - 1 ) < 3/5(x+ 1) Multiply both sides by 5
2(x - 1) < 3 ( x + 1) Remove the brackets.
2x - 2 < 3x + 3 Add 2 to both sides
2x < 3x + 5 Subtract 3x from both sides
2x - 3x < 5
- x < 5 Here's the tricky part . Divide by - 1
x > -5 Notice what happened. The < become > That happens because you have divided (or multiplied) by a negative number.
The original question 2/5 (x - 1 ) < 3/5(x+ 1) was graphed. The red part is every value that satisfies the inequality. You should be using a y and x together to find a more suitable answer using this program. But if you just look along the x axis, you will see that the < has been turned around.
B The second one from the top.
You might be interested in
Answer:
The company must sell at least 2 shirts to break even.
Step-by-step explanation:
Cost:
The cost is given by the following equation:
Revenue:
The revenue is given by the following equation:
How many t shirts must the company sell to break even?
Breakeven point is when the revenue is the same as the costs. So
Multiplying everything by 3
Since you cant make a decimal value of shirts
The company must sell at least 2 shirts to break even.
[
Answer:
solution given;
let
AB=a
AC=b=30ft
AB=c=20ft
<A=115°
By using Cosine rule.
a²=b²+c²-2bc cos angle
a²=30²+20²-2*30*20 Cos 115°
a²=1807.1419
a=√[1807.1419]
a=42.51
Side A is 42.51ft.
Again
Cos B=
Cos B=
Cos B=0.7687
<B=Cos -¹(0.7687)
<B=39.46°
Angle B is 39.46