84-29=x
55=x
You will have a $55 credit
This is all about operations priority! We have to perform the operations in the right order, remembering that parentheses come first, then powers, then multiplications and then additions:
Start with
Perform the operations inside parenthesis first:
Perform the square:
Perform the product:
Perform the sum:
Note: you have an extra parenthesis at the end, and none of the options meets the result. I'm afraid that there's a typo in the question, but this should still give you a valid strategy to solve the actual exercise.
Answer:
8 - 2x <4 gives us x>2
|x-8| >22 gives us (-inf, -14) and (30,inf)
|x+5| < 4 gives us (-9,-1)
Step-by-step explanation:
Inequalities differs from equalities in that they return a range of values for x and not a single value (case of equalities)
The first one
8 - 2x <4 if you subtract every side 8, you will get -2x<-4
Next divide every side with -2, since its a negative number you have to change the orientation of the inequaiity, thus we have x>4/2, x>2
The second
|x-8| >22, it has to be treated as this. -22>x-2>22 which can be treated as two single inequalities, -22>x-8, and the other, x-8>22. The fist gives you x<-14, and the other x>30, two non intercepting ranges, so your range will be (-inf, -14) and (30, inf)
The third
|x+5| < 4 if you apply the same steps from above, you will have the following -4<x+5<4 This results in two intercepting ranges, giving you the range (-9,-1)
Because it is square, the distance from home to first base is the same as first base to second base.
Home to First is one side of a right triangle, first to second is the second side of the right triangle and then home to second base would be the hypotenuse of a right triangle.
Using the Pythagorean Theorem we can solve for the hypotenuse:
Let C = the hypotenuse:
90^2 + 90^2 = c^2
8100 + 8100 = c^2
16200 = c^2
c = √16200
c = 127.279 feet, round to 127 feet.
Answer:
3:4
Step-by-step explanation:
find the GCD of both numbers (30) and divide both sides to get 3:4
