The <em>correct answers</em> are:
It would take 5 months and she would save $250.
Explanation:
Let m be the number of months.
For the first way of saving, $200 up front and $10 each month, the expression would be
200+10m.
For the second way of saving, $100 up front and $30 each month, the expression would be
100+30m.
Setting them equal gives us the equation
200+10m = 100+30m
Subtract 10m from each side:
200+10m-10m = 100+30m-10m
200 = 100+20m
Subtract 100 from each side:
200-100 = 100+20m-100
100 = 20m
Divide both sides by 20:
100/20 = 20m/20
5 = m
It would take 5 months.
$200 up front and $10 each month for 5 months:
200+10m
200+10(5)
200+50
250
She would save $250.
Answer:
He must work 52 days to pay for a single ticket.
Step-by-step explanation:
This question can be solved using proportions.
Per hour:
Joel earns $7.25 per hour, 20% of which is deducted for taxes. So without taxes, in each hour, he earns 100%-20% of 80% of this, so 0.8*7.25 = $5.8.
Per day:
He works 9 a.m. to 5 p.m. each day, so 8 hours a day.
For each hour, he earns $5.8.
So in a day, he makes 8*5.8 = $46.4
How many days he must work:
The ticket costs $2400.
He makes $46.4 a day.
So, to buy a ticket, he needs to work:
2400/46.4 = 51.7 days
Rounding up
He must work 52 days to pay for a single ticket.
Answer: yes, because it is useful to describe changes in the behavior of the thing we are describing.
Step-by-step explanation:
A piecewise function f(x) is a function that is "different" depending on the range of the values of x, this is for example:
y = x -----> if x < 0
y = x^2 ----- if x ≥ 0
This is used to represent changes in the behavior of the thing we are describing.
For example, suppose an object that is moving with constant velocity, the velocity graph will be a constant line.
Now, the object suddenly, at a time t = t0 accelerates to a constant acceleration A, now the graph of the velocity is a linear graph with slope equal to A.
So this situation can be represent this with a piecewise function:
V(t) = c -----> if t < t0
V(t) = c + A*t -----> if t ≥ t0
So the answer is yes, we can.
<h3>Area of shape P = 12 square cm</h3>
Explanation:
Shape P is a triangle with the base of 4 units across the horizontal portion up top.
The height of the triangle is 6 units. Count the spaces down the middle of the triangle and you should get 6 spaces.
Area = base*height/2
Area = 4*6/2
Area = 24/2
Area = 12 square cm.
Coincident lines are lines that are the same.
In the beginning of both equations we have '4x' and '8x'.
Note that 8 / 4 = 2.
Multiply the rest of the numbers in the first equation by 2.
5y * 2 = 10y
8 * 2 = 16
So our 2nd line will be:
8x + 10y = 16
