Answer:
- The system of equations is x + y = 85 and 7/20x+2/5y=31
- To eliminate the x-variable from the equations, you can multiply the equation with the fractions by 20 and multiply the other equation by -7.
- B-She used 60 minutes for calling and 25 minutes for data.
Step-by-step explanation:
It is always a good idea to start by defining variables in such a problem. Here, we can let x represent the number of calling minutes, and y represent the number of data minutes. The the total number of minutes used is ...
x + y = 85
The total of charges is the sum of the products of charge per minute and minutes used:
7/20x + 2/5y = 31.00
We can eliminate the x-variable in these equations by multiplying the first by -7 and the second by 20, then adding the result.
-7(x +y) +20(7/20x +2/5y) = -7(85) +20(31)
-7x -7y +7x +8y = -595 +620 . . . . eliminate parentheses
y = 25 . . . . . . . . simplify
Then the value of x is
x = 85 -y = 85 -25
x = 60
Let's assume
the price of each train ticket is x
we are given
total number of family members =5
so, total cost of ticket = total number of family members*the price of each ticket
so, total cost of ticket =5*x
so, total cost of ticket =5x
now, we have
each family member buys a boxed lunch for $6.50
so, total cost of lunch box = total number of family members*price of each lunch box
so, total cost of lunch box = 5*6.50
total cost of trip = total cost of ticket+total cost of lunch box
we are given
total cost of trip is $248.50
now, we can plug values
and we get
now, we can solve for x
so,
the price of each train ticket is $43.2..........Answer
Answer:
no of kernels pop = 4.34
Step-by-step explanation:
given data
kernels pop in 5 second = 12
kernels are present = 235
solution
we get here kernels are pop at rate of here
kernels are pop at rate = 12 ÷ 235
kernels are pop at rate = 0.051063
and
we get here maximum kernels are remaining that is
maximum kernels remaining = 235 - 140
maximum kernels remaining = 85
so
no of kernels pop in 5 second will be
no of kernels pop = 0.051063 × 85
no of kernels pop = 4.34
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.
Answer:
It would be
-2+7x
Step-by-step explanation:
