Answer:
7/12
Step-by-step explanation:
You can pretend the given ratio units are the actual weights. Then the desired ratio is ...
book : mug = 7 : 5
book : (book +mug) = 7 : (7 +5) = 7 : 12
The weight of the book is 7/12 of the total weight.
(0.12,∞) is the correct answer
Answer:
Yes. (see below)
Step-by-step explanation:
First, find the slope of the line. You can do that by using the slope formula:
y2 - y1
m = ----------
x2 - x1
Now, choose any two points from the line to plug in. I'm using the points (0, 3) and (2, 4).
4 - 3
m = ------
2 - 0
1
m = --- = 1/2
2
Now, to simplify your situation, you can use the slope-intercept formula. To use this, you first need to find the slope and y-intercept.
The y-intercept is where the line meets the y-axis, which is (0, 3), so the y-intercept is 3.
Now, plug them in:
y = mx + b
y = 1/2x + 3
To see if a specific point is on this line—which, in this case, is (20, 13), plug them in and simplify to see if it's true:
13 = 1/2 (20) + 3
13 = 10 + 3
13 = 13
This is true, so the point (20, 13) is on this line.
Answer:
x = 8.5
Step-by-step explanation:
In this question, we are to calculate the value of x.
To calculate this, we shall be utilizing one of the important properties of parallelogram.
This property is that opposite angles of a parallelogram are equal.
This means that mQSR = mSPQ = 4x + 90
Now to finally calculate x, we make use of another important parallelogram property which is that angles of parallelogram which faces each other are supplementary.
This means that they add up to be 180
Since mQSR faces mQRS
This means that;
4x + 90 + 9x -20 = 180
13x + 70 = 180
13x = 110
x = 110/13 which is approximately 8.5
Answer:
Step-by-step explanation:
(f o g)(7) = f(g(7))
but g(7) = 7-4 =3
(f o g)(7) = f(g(7)) = f(3) = 3² =9
