Step-by-step explanation:
(39 + 33) - 94
39 + 33 = 72
94 - 72 =22
Answer:
Step-by-step explanation:
To find the value of b, we need to isolate it on one side of the inequality. We can do this by subtracting 2x from both sides, which gives us b > -3 - 2x.
Since we want x to be greater than 3, we can plug in the value 3 for x on the right-hand side of the inequality. This gives us b > -3 - 6, or b > -9.
Therefore, the value of b that makes the inequality true is any value that is greater than -9. For example, b could be -8, -7, -6, or any other value that is greater than -9.
To check if our solution is correct, we can plug in the value of b and the value of x (3) into the original inequality to see if it is true. If we plug in -8 for b and 3 for x, we get the inequality 2x + b > -3, which simplifies to 2 * 3 + (-8) > -3, or 6 - 8 > -3, which is true. Therefore, our solution is correct.
Given expression: 3x+9
Take 3 outside from the expression, we get,
= 3(x+3), which is called the equivalent expression
Answer:
The hikers are 5.9 miles apart.
Step-by-step explanation:
Let O represents the base camp,
Suppose after walking 3.5 miles west, first hiker's position is A, then after going 1.5 miles north from A his final position is B,
Similarly, after walking 2 miles east, second hiker's position is C then going towards 0.5 miles south his final position is D.
By making the diagram of this situation,
Let D' is the point in the line AB,
Such that, AD' = CD
In triangle BD'D,
BD' = AB + AD' = 1.5 + 0.5 = 2 miles,
DD' = AC = AO + OC = 3.5 + 2 = 5.5 miles,
By Pythagoras theorem,
![BD^2 = BD'^2 + DD'^2](https://tex.z-dn.net/?f=BD%5E2%20%3D%20BD%27%5E2%20%2B%20DD%27%5E2)
![BD = \sqrt{2^2 + 5.5^2}=\sqrt{4+30.25}=\sqrt{34.25}\approx 5.9](https://tex.z-dn.net/?f=BD%20%3D%20%5Csqrt%7B2%5E2%20%2B%205.5%5E2%7D%3D%5Csqrt%7B4%2B30.25%7D%3D%5Csqrt%7B34.25%7D%5Capprox%205.9)
Hence, the hikers are 5.9 miles apart.
The answer is 7/9.
0.7 as a fraction is 7/10.
I found the least common denominator of these two and converted them to equivalent fractions.
7/10 = 63/90
7/9 = 70/90
Therefore 70/90 is bigger, therefore the answer is 7/9.
Hope this helps~