Answer:
d = 25
Step-by-step explanation:
The value of d has to satisfy the inequality
so replace d with one of the given options
We have to simplify the fraction first
What the gcf to 39 and 6
1 answer:
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Answer:
Step-by-step explanation:
Part 1: Solve for the total amount of marbles
To solve for the probability of certain events, a population is needed to derive this information from. In order to find this population, add up the amounts of each marble.
8 + 14 + 12 = 34 marbles
Part 2: Determine the probabilities
Now, given the amounts of marbles, simply multiply the ratios of blue marbles to total marbles and the ratio of clear marbles to total marbles to get the combined probability.
The probability of these events occurring simultaneously is 15%.
Answer:
The three points that lie on a line y = -2/5x with a slope -2/5 will be:
- (0, 0)
- (5, -2)
- (10, -4)
Please check the attached graph also.
Step-by-step explanation:
We know that the slope-intercept form of the line equation is
where m is the slope and b is the y-intercept
Given
slope = m = -2/5
We suppose the line passes through the origin.
so b = 0
substituting m = -2/5 and b = 0 in the slope-intercept form
y = -2/5x + 0
y = -2/5x
Thus, the equation of line with the slope m = -2/5 and passes through the origin (0, 0) will be:
y = -2/5x
As the equation of line passes through (0, 0), thus the point (0, 0) lies on the line.
Putting x = 0 in the equation y = -2/5x
y = -2/5 × (0)
y = 0
Thus, (0, 0) is the point which also passes through the line
Putting x = 5 in the equation y = -2/5x
y = -2/5 × 5
y = -2
Thus, (5, -2) is the point which also passes through the line
Now, putting x = 10 in the equation y = -2/5x
y = -2/5 × 10
y = -4
Thus, (10, -4) is the point which also passes through the line.
Thus, the three points that lie on a line y = -2/5x with a slope -2/5 will be:
- (0, 0)
- (5, -2)
- (10, -4)
Please check the attached graph also.
