Answer:
150(1-x)
Step-by-step explanation:
120 is decreased by d%
Let x = d%
120 - 120*x
120(1-x)
Then it is increased by 25%
(120 (1-x)) +(120 (1-x))*.25
(120 (1-x)) +(30 (1-x))
150(1-x)
The question requires us to find out by how much did Kendra increased her distance every day:
The first day she hiked 1/8 miles
the second day she hiked 3/8 miles
third day she hiked 5/8 miles
this can be written as arithmetic sequence given by:
1/8,3/8,5/8,...
the arithmetic difference will be:
3/8-1/8=5/8-3/8=2/8
This means that Kendra increased her daily distance by 2/8 miles
The pressure is 39 Pa if the volume is expanded to 168L and the pressure, P, of a gas varies inversely with its volume, V.
<h3>What is a proportional relationship?</h3>
It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.
We have:
The pressure, P, of a gas varies inversely with its volume, V.
P ∝ 1/V
P = k/V
k is the constant.
If P = 126 Pa and V = 52 L
126 = k/52
k = 6552
P = 6552/V
Plug V = 168 L
P = 6552/168 = 39 Pa
Thus, the pressure is 39 Pa if the volume is expanded to 168L and the pressure, P, of a gas varies inversely with its volume, V.
Learn more about the proportional here:
brainly.com/question/14263719
#SPJ1
Answer: In mathematics, a variable is a symbol which functions as a placeholder for varying expression or quantities, and is often used to represent an arbitrary element of a set. In addition to numbers, variables are commonly used to represent vectors, matrices and functions
Step-by-step explanation:A symbol for a value we don't know yet. It is usually a letter like x or y.
Example: in x + 2 = 6, x is the variable.
Why "variable" when it may have just one value? In the case of x + 2 = 6 we can solve it to find that x = 4. But in something like y = x + 2 (a linear equation) x can have many values. In general it is much easier to always call it a variable even though in some cases it is a single value.
Reflected over the x-axis:
. Hence the original triangle is described by A'B'C'.
