Answer:
it's not 100 or 102, just took the test and got them both wrong.
Step-by-step explanation:
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Answer:
The apricots are less expensive per pound.
Step-by-step explanation:
Cost of 1 pound of almonds = 21.98/2
Cost of 2 pounds of almonds = $21.98
So then you have to do 21.98 - 21.98/2. Which equals $10.99
Cost of 1 pound of dried apricots = 26.25/3
Cost of 3 pounds of dried apricots = $26.25
So then you have to do $26.25 - 26.25/3 which = $17.5 then divide that by 2 which equals $8.75.
To find out how much less expensive you have to find the difference, so to do that you have to do $10.99 - $8.75 = $2.24 per pound less expensive.
Answer:
x = -5
Step-by-step explanation:
We don't know what equation solver you're supposed to use. Here are the results from one available on the web.
There are 2 possibilities for where A can be: one where C is 30° (and A is 60°) and another where C is 60° (and A is 30°). Since it's not specified, we can find both.
30°:
drawing the triangle on a graph, you can see that point C is 4 units above point B, so we know that one side of the triangle is 4. Once we find the other "leg" of the triangle (the one that's parallel to the x-axis), we can just add that value to B to find the x coordinate of A.
If angle C is 30°, using the side ratios of a 30-60-90 triangle, that side is "a√3", and the side we're looking for is a. So, to find a, we just divide 4 by √3. In that case, point A is 4/(√3) units to the right of -2√3. We can rationalize 4/(√3) like this:
(4√3)/3
and then add that to 2√3:
(4√3)/3 + -2√3
(4√3)/3 + (-6√3)/3 = (-2√3)/3
We know that the x-coordinate of A is (-2√3)/3, and the y-coordinate is -1 because B is a right angle and we're just moving horizontally. So, if C is 30° and A is 60°, point A is at ((-2√3)/3, -1).
60°:
in this case, the leg we know is "a" and the leg we're looking for is "a√3". So, we can multiply 4 by √3 to get the distance from B:
4 x √3 = 4√3
4√3 + -2√3 = 2√3
So the x-coordinate of A here is 2√3, and the y-coordinate is still -1: (2√3, -1).
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Answer:
d = -19
Step-by-step explanation:
64 = -3d + 7
Subtracting 7 on both sides,
64-7 = -3d
57 = -3d
Divide both sides by -3,
d = -19