The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. We know that if 2 lines are parallel to one another, their slopes are exactly the same. So the slope of the new line is 5, just like the slope of the original line. We also have a coordinate in the form of (x, y) to fit into that line equation and solve it for b. Like this: -1 = 5(-6) + b and -1 = -30 + b and b = 29. Now we can rewrite the equation fitting in the given slope and the newly found y-intercept value of 29: y = 5x + 29 is the new line.
Using it's concept, it is found that a good estimate for the probability of drawing out a green block from the bag is of 0.67 = 67%.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
In this problem, to get a good estimate, we get the probability taking the outcomes from the sample, that is, 67 green blocks out of 100 blocks, hence:
p = 67/100 = 0.67.
A good estimate for the probability of drawing out a green block from the bag is of 0.67 = 67%.
More can be learned about probabilities at brainly.com/question/14398287
From the solution to the inequality, the correct interpretation is that:
Amanda's family can drive 244 miles before they need to refill the gas tank.
The amount of miles they can still travel is modeled by the following <em>inequality</em>:
It is solved similarly to an equality, hence:
Then:
Amanda's family can drive 244 miles before they need to refill the gas tank.
You can learn more about inequalities at brainly.com/question/25629776
Answer:
x= -2/9
Step-by-step explanation:
2(x-2)/5=4x
2(x-2)=4x*5
2(x-2)=20x
x-2=20x/2
x-2=10x
-2=10x-x
9x= -2
x= -2/9
