Answer:
-1/4
Step-by-step explanation:
Hello!
The rate of change is also known as the slope.
Standard equation of a line: y = mx + b
- y: output
- m: slope
- x: input
- b: y-intercept
So, if we match the standard form to the given function:
-1/4 is m, or the rate of change.
Answer:
the area is multiplied by 3
Step-by-step explanation:
if the diagonal is multiplied by 3 than the area will "grow larger" by 3.
Step-by-step explanation:
x = the total money she had first.
x - x×1/4 - (x - x×1/4)×1/2 = 15
you see, first we needed to deduct 1/4 of x from x. that left us with (x - x×1/4). and from that we need to deduct 1/2.
now, we can simplify :
(x - x×1/4) = (x×4/4 - x×1/4) = x×3/4
x×3/4 - x×3/4 × 1/2 = 15
x×3/4 - x×3/8 = 15
we multiply both sides by 8 (4 is a factor of 8, so this handled both fractions perfectly) :
x×3×2 - x×3 = 120
6x - 3x = 120
3x = 120
x = $40
she had $40 at the beginning.
Note: It seems you may have unintentionally missed writing the complete question. As total cost is missing.
So, I am assuming how many tickets Mr. XYZ can buy if he/she pays 188 dollars.
The solution would still clear your concept though.
Answer:
Please check the explanation.
Step-by-step explanation:
Given the function
The slope-intercept form of the line equation
We know that the slope-intercept form of the line equation
where m is the slope and b is the y-intercept
so
comparing with the slope-intercept form of the line equation
here:
- c(x) or y represents the cost
and
'x' represents the number of tickets
Assuming the total cost i.e. c(x) = $188
In order to determine the value of x, set c(x) = 188
i.e.
188 = 18x -10
switch sides
188x - 10 = 170
add 10 to both sides
18x - 10 + 10 = 188 + 10
18x = 198
Divide 18 to both sides
18x/18 = 198/18
x = 11
Therefore, if you can buy x = 11 tickets if you pay 170 dollars.
45 would be able to go into 60 only 1 time, with a remainder of 15.
1 r^15