Answer:
4.50+.75d=7.50+.65d
Step-by-step explanation:
Y=4.50+.75d equation 1
y=7.50+.65d equation 2
4.50+.75d=7.50+.65d sub value of y in equation 2 into equation 1
.10d=3.00 simplify equation
d=30
check answer by subbing 30 for d into each equation.
y=4.50+.75(30)
y=4.50+22.50
y=27
y=7.50+.65(30)
y=7.50+19.50
y=27
both equations equal so 30 is the correct distance for when Fast Rental equals Red Rent
9514 1404 393
Answer:
$562,500 per hour
Step-by-step explanation:
The cost will be a minimum where C'(x) = 0.
C'(x) = 0.56x -0.7 = 0
x = 0.7/0.56 = 1.25
The cost at that production point is ...
C(1.25) = (0.28×1.25 -0.7)1.25 +1 = -0.35×1.25 +1 = 0.5625
The minimum production cost is $562,500 per hour for production of 1250 items per hour.
_____
<em>Additional comment</em>
This is different than the minimum cost <em>per item</em>. This level of production gives a per-item cost of $450. The minimum cost per item is $358.30 at a production level of 1890 per hour.
Answer:
D
Step-by-step explanation:
Since x is the measure of the third angle and all 3 angles are congruent then
All 3 angles have a measure of x
The sum of the 3 angles in a triangle = 180°, this
x + x + x = 180 ← is the required equation
3x = 180 ( divide both sides by 3 )
x = 60
For this problem, we have to set up the formula for the equation first. The equation should help us predict how long would it take to reach a life expectancy of 130 years. Let's start by denoting variable to present them in algebraic equations. Let x be the number of decades, while y is the number of years for life expectancy. The base year used here is 2009 with a life expectancy of 80 years. So, we will expect that 80 is a constant in the expression. We will add to this the number of decades multiplied by 5.4, because it stands for 5.4 additional years per decade. When you write this in an equation, it would be
y = 80 + 5.4x
Now, we substitute y=130.
130 = 80 + 5.4x
x = (130 - 80)/5.4
x = 9.259
Therefore, it would take approximately more than 9 decades. Projecting this amount of time from 2009, the year would be:
Projected year = 2009 + 9 decades * (10 years/1 decade)
Projected year = 2101
It would be in year 2101.
5(x - 3) +6 = 5x - 9 has infinitely many solutions
<h3><u>Solution:</u></h3>
Given equation is 5(x - 3) +6 = 5x - 9
We have to find whether the given equation has one, zero, or infinitely many solutions
Let us solve the given equation
5(x - 3) + 6 = 5x - 9
Let us use BODMAS rule to solve the given equation
According to Bodmas rule, if an expression contains brackets ((), {}, []) we have to first solve or simplify the bracket followed by of (powers and roots etc.), then division, multiplication, addition and subtraction from left to right
So let us first solve for brackets in given equation
5x - 15 + 6 = 5x - 9
5x - 9 = 5x - 9
0 = 0
Since the statement is true, there are infinitely many solutions