Is 5/12 greater than 3/4
Answers
No, 3/4 is greater than 5/12.
5/12 is not greater than 3/4 because 3/4 is only 1/4 away from becoming a whole number. On the other hand 5/12 is 7/12 away from becoming a whole number. Hope this helped :)
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There were 900 students enrolled in a high school in 2009 and 1,500 students enrolled in the same high school in 2012. The student enrollment of the high school, P, has increased at a constant rate each year, t, since 2009. A) Write the given enrollment numbers as a pair of points in the form (t, P). B) Find the slope of the line passing through the pair of points from part A and explain the information the slope gives about the situation. C) Write an equation that relates the high school's student enrollment, P, to the number of years since 2009, t. D) Predict the high school's enrollment in 2017.
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Answers
Answer: 1
Step-by-step explanation: To solve this problem, let's graph the line.
It's important to understand that the y-intercept is the point where the line crosses the y-axis.
So if our line has a y-intercept of 3, it crosses the y-axis up 3 units. So we start this problem by plotting the point (0,3) which I labeled point A.
From there, our slope of -3 can be thought of as -3/1 so we go down 3 units and to the right 1 unit and plot point B. Notice that point B happens to lie on the x-axis at (1,0) and remember that the x-intercept is the point where the line crosses the x-axis. Since our line crosses the x-axis at the point (1,0), it has an x-intercept of 1.
If you're given a y-intercept and a slope like you are in this problem, you won't always be able to determine the x-intercept but things work out nicely here because point B happens to lie on the x-axis.
The equation of the line would be y = -3x + 3
The x intercept is when y is equal to 0.
To solve for the x intercept, plug 0 in for y and then solve
0 = -3x + 3
0-3 = -3x +3 -3
-3 = -3x
-3/-3 = -3/-3x
1 = x
The x intercept is (1,0)
Answers
The number representing Liam's share is 2; for Sarah's share, it is 3. The difference of those is 1, so each 1 unit of share must be £30, the difference between the amount Sarah got and the amount Liam got.
Emily got 5 shares or £30 × 5 = £150.
68°
64°
17°
Answers
The measure of x in the given figure is equal to 17°
What are vertical angles?
Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines.
In simple words, vertical angles are located across from one another in the corners of the "X" formed by two straight lines.
They are also called vertically opposite angles as they are situated opposite to each other.
Given is figure, where two lines intersects each other and forms angles, we need to find the measure of x, if angle 6 = 4x and angle 7 = 2x + 34
Since, the angles 6 and 7 are vertical angles,
Therefore, the angles are equal,
Therefore,
4x = 2x+34
2x = 34
x = 17
Hence, the measure of x is equal to 17°
Learn more about vertical angles, click;
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Answer:
17°
Step-by-step explanation:
Sedan:
Minivan:
Truck:
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Answer:
Sedan: ✔ 18
Minivan: ✔ 19
Truck: ✔ 16
Step-by-step explanation:
just made it to understand
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Answer:
all work is shown and pictured