Answer:
P(t)= 100t + 150
Step-by-step explanation:
If the price for 6 hours of studio time is 600 dollars, that means every hour the studio is used it costs 100 dollars. Since the fixed fee is 150 dollars, that is added to the cost of how many hours the studio is used.
I hope this helped you. If it did Brainilest is appreciated.
Answer:
The equation of the line is;
3y = 2x-8
Step-by-step explanation:
Firstly, we need the to get the slope of the given line
To do this, we will write the equation of the line in the standard form
the standard form
is;
y = mx + b
where m is the slope and b is the y-intercept
y -4 = 2/3(x-3)
y -4 = 2x/3 - 2
y = 2x/3 -2 + 4
y = 2x/3 + 2
with respect to the given equation, the slope of the line is 2/3
Mathematically, when two lines are parallel, the slopes of the line are equal
So now, we want to find the equation of the line that has a slope of 2/3 and passes through the point (1,-2)
so;
y = 2x/3 + b
So substitute the values of (1,-2)
1 for x and -2 for y
-2 = 2/3(1) + b
-2 = 2/3 + b
b = -2 - 2/3
b = (-6-2)/3 = -8/3
So the equation of that line is;
y = 2/3x - 8/3
Multiply through by 3
3y = 2x - 8
We have that
the volume of a right square pyramid ---------- > (1/3)b²h
Let
V1------------ > initial volume
V1=(1/3)b²h
<span>if its height is multiplied by 8
</span>
V2=(1/3)b²(8h)-------------- > V2=V1*8
therefore
the answer is the option D
the factor is is 8
Hi there!
To solve this problem, you need to use the distributive property. You distribute the 4 inside the parenthesis as well as the 5.
Hope this helps!
1. Observe the problem
2. Make a system of linear equations
x is pens
y is pencil
As stated in the text, x=2y
x=2y
7x+12y=6.50
Using substitution,
7(2y)+12y=6.50
14y+12y=6.50
26y=6.50
y=0.25
Substituting it back into the first equation:
x=2(0.25)
<h2><u><em>
x=0.5</em></u></h2><h2><u><em>
y=0.25</em></u></h2>