When you multiply/divide by a negative number while solving the inequality, you reverse the symbol.
A.) 4(5 - y) ≥ 80 To solve this, isolate/get the variable "y" by itself in the inequality. Divide 4 on both sides
5 - y ≥ 20 Subtract 5 on both sides
5 - 5 - y ≥ 20 - 5
-y ≥ 15 Divide -1 on both sides to get "y" by itself
Because you are dividing by a negative number, you need to reverse the sign
y ≤ -15
B.) 2(y - 3) ≥ 8 Isolate "y", divide 2 on both sides
y - 3 ≥ 4 Add 3 on both sides to get "y" by itself
y ≥ 7
C.) 3y - 4 > 1 Add 4 on both sides
3y > 1 Divide 3 on both sides to get "y" by itself
D.) Isolate "y", add 3/4 on both sides
6y > 1 Divide 6 on both sides to get "y" by itseld
Answer:
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Step-by-step explanation:
24 * 5 = 120
120 + 6 = 126 - total cost - meals and service
6/126 *100% = 4,76%
service charge was 4,76% of total costs.
For this case we have the following expression:
By definition of properties of powers and roots we have to:
Then, we can rewrite the expression as:
Answer:
Answer:
x = 8
Step-by-step explanation:
To solve for x, you use the Pythagoras Theorem. ==> a² + b² = c², where a and b are the side lengths and c is the hypotenuse
x² + 6² = 10²
Rearrange to make x on its own
x² = 10² - 6²
x² = 100 - 36
x² = 64
x = ±√64
x = ±8
Length can't be a negative hence, x must equal 8