Answer:
a) x = 62
b) x = 33
Step-by-step explanation:
Hi there!
a) Let´s write the equation:
√(2x-3) = 11
Square both sides
2x - 3 = 121
add 3 to both sides of the equation
2x = 124
divide by 2 both sides
x = 62
Let´s check:
√(2x-3) = 11
x = 62
√(2(62)-3) = 11
√(124-3) = 11
√121 = 11
11 = 11
x = 62 satisfies the equation
b) Let´s write the equation:
∛(6 - x) = -3
Cube both sides
6 - x = -27
subtract 6 to both sides
-x = -27 - 6
-x = -33
divide by -1 both sides
x = 33
Now, let´s check the result:
∛(6 - x) = -3
x = 33
∛(6 - 33) = -3
∛(-27) = -3
-3 = -3
x = 33 satisfies the equation
These rates are not in proportion. Juan walked faster.
Explanation:
First, we want to make these ratios to have the same denominator so we can compare the numerators. To do this, do 3x5 and 8x5 to get 40:15. Then, we do 5x3 and 14x3 to get 42:15. Now we can just compare the numbers 40 and 42, and since 42 < 40, we know Juan walked faster.
Answer:
0.5 or 50%
Step-by-step explanation:
The number of total employees is:

The number of married employees is:

The probability that a randomly selected employee is not married is given by:

The probability is 0.5 or 50%.
Answer:
D
Step-by-step explanation:
The United States federal earned income tax credit or earned income credit is a refundable tax credit for low- to moderate-income working individuals and couples, particularly those with children.