Answer:
k=1
Step-by-step explanation:

Subtract 8 from both sides

Divide

Simplify

Answer:
2. B
3. B
4. 2(7k+5h)
5. $325
Step-by-step explanation:
2) "X decreased by the sum of 2x + 5" Decreased means to be lowered, so that means this problem has subtraction in it. It also says x is being decreased BY the sum of 2x + 5 so that means 2x + 5 needs to be solved, which calls for parentheses. B best fits the description.
3) It is B because if you distribute the 8 to 2a and 3b, you'll get 16a and 24b, which is the given expression.
4) The given expression is 10h + 14k and in the equivalent expression, you are given 5h. To get from 10 to 5, you must divide by 2. This tells you that 2 is being distributed, so you put 2 before the parentheses. Since you divided 10 by 2, you want to do the same to 14, which is 7. Therefore, it is 2(7k+5h).
5) You are given the hourly charge, which is $25. This means that they charge $25 per hour/for every hour. You want to find the cost for 13 hours, so you multiply the hourly charge by 13 hours. 25 x 13 = 325.
Answer:
57
Step-by-step explanation:
10% of 570 = 57 (dividing by 10). Times that by 3, which is 171. Now divide 171 by 3, equals 57 (the answer).
Answer:
Option C.
The distance from the point to the circle is 6 units
Step-by-step explanation:
we know that
The distance between the circle and the point will be the difference of the distance of the point from the center of circle and the radius of the circle
step 1
Find the center and radius of the circle
we have

Convert to radius center form
Complete the square

Rewrite as perfect squares

so
The center is the point (0,4)
The radius is

step 2
Find the distance of the point from the center of circle
the formula to calculate the distance between two points is equal to

we have
(6,-4) and (0,4)
substitute the values




step 3
Find the difference of the distance of the point from the center of circle and the radius of the circle

therefore
The distance from the point to the circle is 6 units
see the attached figure to better understand the problem