4p = 2p + 3c....p = popcorn, c = candy bars
c = 6
4p = 2p + 3(6)
4p = 2p + 18
4p - 2p = 18
2p = 18
p = 18/2
p = 9......whoa....9 bucks for popcorn....nothing is cheap anymore
No, the two lines do NOT intersect because they are parallel lines (see the attached image). Both lines have a slope of 2, or 2/1. Recall that slope = rise/run. So this means that we go up 2 and over to the right 1. Lines with the same slope but different y intercepts means that they are parallel. Parallel lines never cross.
In short, the final answer is choice D.
Answer:
7
Step-by-step explanation:
When working with order of operations, use the acronym 'PEMDAS' (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
The equation should basically be done in that order.
There are no parenthesis,
no exponents,
But there IS multiplication.
1 x 10 = 10.
So now, what is left over is 10 - 3.
There addition, but there IS subtraction.
10 - 3 = 7.
7 is what is left over.
Therefore, 1 x 10 - 3 in standard form is 7.
B.) Hibiscus Street
The key thing to remember is the slope of the lines. The equation for a line in slope intercept form is
y = ax + b
where
a = slope
b = y intercept
So the equation for Oak Street is y = 2/3x - 7. So it's slope is 2/3. And any street that has the same slope will be given a tree name. And any street that's perpendicular will be given a flower name. You can determine is a line is perpendicular if it has a slope that's the negative reciprocal. So a street that's perpendicular to Oak street will have a slope of -3/2.
Now you've just been given the equation to a new street that's y = -3/2x - 2. Since the slope is -3/2 and Oak street has a slope of 2/3, the new street is perpendicular to Oak street. And given the naming scheme, that means that the new street will have the name of a flower. So let's look at the available street names and pick a flower.
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A.) Weeping Willow Street
* Nope a Weeping Willow is a tree. So this name won't work.
B.) Hibiscus Street
* Yes. A Hibiscus is a flower, so this name is suitable.
C.) Oak Street
* Nope. Not only is this a tree instead of a flower, but there's already an Oak street. So bad choice.
D.) Panther Street
* Nope, this is an animal, not a flower. Bad choice.
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