Answer:
Hi there!
Your answer is:
2 & 1/4 <u>OR</u> 2.25 cups fills the container!
Step-by-step explanation:
If 1 & 1/2 (aka 3/2) fills 2/3 of the container, then:
we know that <em>half</em> of 3/2s fills 1/3 of the container
To find half of 3/2, we multiply 3/2 by the <em><u>inverse</u></em> of 2, which is 1/2.
3/2÷2
3/2×1/2 = 3/4 ths
Now that we know 3/4ths fills 1/3 of the container, we add that to 1& 1/2.
3/4+ 1&1/2 = 2 & 1/4
Check your work!
3/4 × 3 should equal 2&1/4 if we are correct
3/4 × 3/1 = 9/4.
Simplify!
9/4 = 2&1/4
That tells us that <u>we</u><u> </u><u>are</u><u> </u><u>correct</u><u>!</u>
Hope this helps!
N the slope-intercept form you use the slope of the line and the y-intercept to express the linear function.
y=mx+b
y=mx+b
Where m is the slope and b is the y-intercept.
Example
Graph the equation
y−2x=1
y−2x=1
rewrite in slope-intercept form
y=2x+1
y=2x+1
Identify the slope and the y-intercept
m = 2 and b = 1
Plot the point corresponding to the y-intercept, (0,1)
picture23
The m-value, the slope, tells us that for each step to the right on the x-axis we move 2 steps upwards on the y-axis (since m = 2)
picture24
And once you have your second point you can just draw a line through the two points and extend it in both directions.
picture25
You can check to see that the line you've drawn is the correct one by substituting the coordinates of the second point into the original equation. If the equation holds true than the second point is correct.
Our second point = (1, 3)
y−2x=1
y−2x=1
3−2⋅1=3−2=1
3−2⋅1=3−2=1
Our second point is a solution to the equation i.e. the line we drew is correct.
A line that passes through the origin has a y-intersect of zero, b = 0, and represents a direct variation.
y=mx
y=mx
In a direct variation the nonzero number m is called the constant of variation.
You can name a function, f by using the function notion
f(x)=mx+b
f(x)=mx+b
f(x) is another name for y and is read as "the value of f at x" or "f of x". You can use other letters than f to name functions.
A group of functions that have similar characteristics are called a family of functions. All functions that can be written on the form f(x) = mx + b belong to the family of linear functions.
The most basic function in a family of functions is called the parent function. The parent function of all linear functions is
f(x)=x
So, let's begin...
First off, you must note that the question is asking for the d value when you substitute the value of c(x).
You are given the following information:
1. The c(x) value is already given to be 0.75x.
2. The equation to find d of (any value) is 0.8y-5.
So, substitute the value of 0.75x as a y value into 0.8y - 5. This is because you are substituting the value of c(x) for d. This is equal to 0.8 times 0.75x - 5. This is equal to 0.6x - 5, which is the function. Thus, your final answer is d(c(x)) = 0.6x - 5.
If you have any questions please comment. Otherwise, hope this helps! :)
Answer:
0.13m
Step-by-step explanation:
1m = 100cm
0.13m = 13cm