Answer:
y = 56
Step-by-step explanation:
the midsegment SV is half the length of the side TU , that is
y - 9 = 
(y + 38) ← multiply both sides by 2 to clear the fraction
2y - 18 = y + 38 ( subtract y from both sides )
y - 18 = 38 ( add 18 to both sides )
y = 56
The situation with an expression involving signed numbers is w - 12 + 4 3/8 and the overall change in Sara’s weight is -7 5/8 pounds
<h3>Represent this situation with an expression involving signed numbers. </h3>
Let Sara's initial weight be w.
The given parameters are:
Lost = 12 pounds
Gain = 4 3/8 pounds
The situation with an expression involving signed numbers is represented as:
Weight = Initial - Lost + Gain
So, we have:
Weight = w - 12 + 4 3/8
<h3>What is the overall change in Sara’s weight?.</h3>
In (a), we have:
Weight = w - 12 + 4 3/8
The overall change is:
Change = - 12 + 4 3/8
Evaluate
Change = -7 5/8
Hence, the overall change in Sara’s weight is -7 5/8 pounds
Read more about sum and difference at:
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Answer:
The value of x = 2
Step-by-step explanation:
Given the equation
- Expand 12(x-2) = 12x - 24
- Expand 1/2(x+6) = 1/2x + 3
so the equation becomes
simplifying
multiplying both sides by 2
subtracting x from both sides
divide both sides by 29
simplifying
Therefore, the value of x = 2
The Supplemental Security Income (SSI) program, administered by the Social Security Administration (SSA), is the income source of last resort for thelow-income aged, blind, and disabled. As the nation's largest income-assistance program, it paid $38 billion in benefits in calendar year 2006 to roughly 7 million recipients per month. BecauseSSI is means tested, administering the program often requires month-to-month, recipient-by-recipient benefit recomputations. An increase in a recipient's income usually triggers a benefit recomputation. Or, an increase in the recipient's financial assets, which may render the recipient ineligible, would also prompt a recomputation. With this crush of ongoing recomputations, it is of little wonder that administrative simplification is a time-honored mantra for program administrators.
So it decreases by 11% which means by the next year it's worth 89% of the original price, write 89% like a decimal. then put it to the power of 4 (4 years) and multiply by the original number
.89 ^ 4 * 12250 = 7685.92
