Two equivalent ratios for 12/60
Answers
12/60 = 12/2 / 60/2 = 6/30
6/30 = 6/2 / 30/2 = 3/15
3/15 = 3/3 / 15/3 = 1/5
The result would be 6/30 or 3/15 or 1/5.
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Answers
The table of values and graph for the equation y = 3x - 5 shows a linear relationship with a positive slope of 3, and the y-intercept is -5.
To create the table of values, we will substitute the given x-values into the equation y = 3x - 5 and calculate the corresponding y-values.
x y
-2 -11
-1 -8
0 -5
1 -2
2 1
For instance, when x is -2,
=> y = (3 * -2) - 5 = -6 - 5 = -11.
Similarly, for
=> x = -1, y = (3 * -1) - 5 = -3 - 5 = -8,
=> x = 1, y = (3 * 1) - 5 = 3 - 5 = -2,
and so on.
Now, let's plot these points on a graph. On the horizontal axis (x-axis), we will mark the x-values, and on the vertical axis (y-axis), we will mark the corresponding y-values. After plotting all five points, we will join them to form a straight line.
The graph will show a line slanting upwards from left to right. This is typical of a positive slope, which indicates that as x increases, y also increases. The slope of the line is 3, which means that for every unit increase in x, y increases by 3 units. The line intersects the y-axis at -5, which is the y-intercept. It means that when x is 0, y is -5.
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Answers
Answer:
Option C gives the graph for given equation.
Step-by-step explanation:
We are given the following equation of line:
comparing the equation to point slope form of straight line:
where m is the slope of line and c id the y-intercept.
On comparing, we get,
Also, (2,1) will lie on this line.
Thus, the given equation have graph given in Option C.
The points on the graph are (2, 1) and (-4, -2) extending the line and we get a straight line that represents the graph of y = (1/2)x.
Option C is the correct answer.
We have,
The equation y = (1/2)x represents a linearfunction in slope-intercept form, where the coefficient of x (1/2) represents the slope and the constant term (0) represents the y-intercept.
Now,
The graph of y = (1/2)x is a straightline that passes through the origin (0, 0) because the y-intercept is 0.
The slope of the line is 1/2, which means that for every unit increase in x, the corresponding y-value increases by 1/2.
Since the slope is positive, the line slants upward from left to right. It has a gentle slope, indicating a less steep increase compared to a larger slope.
The points on the graph of y = (1/2)x can be obtained by choosing values for x and calculating the corresponding y-values using the equation.
For example:
When x = 2, y = (1/2)(2) = 1. So we have the point (2, 1).
When x = -4, y = (1/2)(-4) = -2. So we have the point (-4, -2).
Thus,
By connecting these points and extending the line, we get a straight line that represents the graph of y = (1/2)x.
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Answers
100% = 168
1% = 1.68
17.5% =
1.68 x 17.5 = 29.4
168 + 29.4 = 197.4 which is the increased amount in pounds
Answers
Answers
Answer:
x = 15
Step-by-step explanation:
Given in the question an equation
31 = 3x - 14
Solution
rearrange the constant to the right of equation
3x = 14 + 31
3x = 45
divide 3 on both sides of the equation
3x/3 = 45/3
x = 15
Answer:
x=15
Step-by-step explanation:
The given equation is;
31=3x-14
Group similar terms:
31+14=3x
Combine the left hand side to obtain;
45=3x
Divide both sides by 3 to get;
x=15
Answers
The number of inches will obviously be greater.