If karen works 85 hours within two weeks and earns $1,891.25, you'd set up an equation like this, to find the value of x ----
x=amount of money per hour Karen works
85x=<span>1,891.25
then divide </span><span>1,891.25 by 85
x=</span>22.25
this says that karen gets $22.25 for every hour she works.... then to find how much she works for 8 hours you want to multiply the amount of money she gets per hour by 8 hours.
22.25 x 8 = 178
Karen earns $178 after working 8 hours.
Answer:
Step-by-step explanation:
<u>Geometric Sequences</u>
The geometric sequence is given as:
Where n is the number of the term, n≥1, and r is the common ratio.
The sum of n terms of the geometric sequence is given by:
We are given: S3=252, a1=192, thus substuting:
Dividing by 12:
Recall that:
Substituting:
Simplifying:
Rearranging:
16r^2+16r-5=0
Rewriting:
Factoring:
Solving:
Both solutions are valid
Answer:
-1/6
Step-by-step explanation:
24x=-4
X=-4/24
X=-2/12
X=-1/6
When multiplying numbers of the same base , we add the powers.
Example:
2^2 * 2^3 = 2^(2+3) = 2^5
For the givens:
The seventh root of x can be written as x^(1/7)
Now, we need to multiply x^(1/7) by x^(1/7) by x^(1/7)
These numbers have the same base which is "x", therefore, we will just add the power.
This means that:
x^(1/7) * x^(1/7) * x^(1/7) = x^(1/7 + 1/7 + 1/7) = x^(3/7)
Therefore, the correct choice is the first one: x^(3/7)
