Answer:
x = -11
Step-by-step explanation:
Convert fraction into negative exponential form:
Simplify using exponent power rule:
Convert both sides of the equation into terms with same base:
Simplify using exponent power rule:
Based on the given conditions, corresponding exponents are equal:
Rearrange unknown terms to the left side of the equation:
Combine like terms:
Calculate the sum or difference:
Thurs, x = -11
[RevyBreeze]
Answer:
<u>Using below system of inequalities</u>
<u>Following the rules </u>
- 1. Finding x- and y - intercepts
- 2. Connecting with dotted line for each as no equal symbol present in any inequality
- 3. Shade respective regions
- 4. Solution is the intersection of the shades regions
- 5. Select any three points in the solution region
<u>Line 1</u>
- y > 2x - 3
- x- intercept: y = 0 ⇒ 0 = 2x - 3 ⇒ 2x = 3 ⇒ x = 1.5
- y - intercept: x = 0 ⇒ y = -3
- Shaded region is above the line (or to the left)
<u>Line 2</u>
- y < x + 1
- x- intercept: y = 0 ⇒ 0 = x + 1 ⇒ x = -1
- y - intercept: x = 0 ⇒ y = 1
- Shaded region is below the line (or to the right)
<u>Selected points are:</u>
Stacy's present age = x
Laura's present age = 8 + x
Laura's age next year = (8 + x) + 1
Also, Laura's age next year = 3x
Therefore,
3x = (8 + x) + 1
3x = 9 + x
3x - x = 9
2x = 9
x = 9/2
x = 4.5
Laura's present age = 8 + x = 8 + 4.5 = 12.5
With base-ten blocks ,there would be the 3 units, 1 tens block , and five hundreds cubes
We want to find 5 weeks to 22 days as a fraction.
Because there are 7 days n a week,
5 weeks = 5*7 = 35 days
Therefore
(5 weeks)/(22 days) = 35/22
Answer: 35/22