Let's break this down:
Total Pictures = 77
Drew's Pictures = X (An unknown amount)
Danielle's Pictures = 17 + 2X (2 times the amount of Drew plus 17)
So, let's put the pieces together, the problem should look like this:
Total Pictures = Drew's Pictures + Danielle's Pictures
So let's put in what we know:
77 = X + (17 + 2X)
1st step is to get X to one side:
77 = X + 17 + 2X
-17 - 17
=> 60 = X + 2X
=> 60 = 3X
Now that X is on one side, the 2nd step is to get X to be alone:
60/3 = 3X/3 (We have to divide to each side because the answer is equal)
20 = X
So, now that we know what X equals, let's go back to what we broke down:
Drew's Pictures = X (An unknown amount)
Danielle's Pictures = 17 + 2X (2 times the amount of Drew plus 17)
*Remember that X = 20*
So the amount of Drew's Pictures (since the amount is equal to X) is 20.
Danielle had 17 + 2X pictures which means:
17 + 2(20)
17 + 40
57
So Danielle took 57 pictures
"18xy" is the one among the following choices given in the question that <span>is the greatest common factor of 72x^2y and 18xy. The correct option among all the options that are given in the question is the fourth option or option "D". I hope that this is the answer that you were looking for and it has come to your help.</span>
Answer:
$44.19
Step-by-step explanation:
15.98-1.25=14.73
14.73*3-44.19
In this item, we are given that the rays are opposite. We consider each of the choices and justify why each is true or false in order to answer this item.
1. A, B, C are collinear
For points, collinear means they lie on the same line. For rays to be opposite, they should be in the same line making a 180° or a straight line with each other. Hence, this statement is TRUE.
2. A, B, C are coplanar
Coplanar means the points lie in the same plane. For these rays to be opposite and collinear as justified in 1, the points should lie in the same plane. This is TRUE.
3. AB = AC
This is not entirely true. The ray is a geometric figure with one enpoint and the other end extends infinitely. Therefore, there is no definite measure of the rays. Hence, this is FALSE.
4. A is in betweeen B and C
In the names of the rays, it is known that A appears for both AB and AC. This means that point A is shared and must be between points B and C. This statement is TRUE.
Therefore, the only false statement is number 3.
Answer:
A. the equality means that the two equations should be equal in a certain x value. Solving the x for these equation gives you the x point where the 2 equations intersect.
B. The x value where the funcionts intersect is x = 1
Step-by-step explanation:
You can solve the x value using natural logarithms.
If you make a table for the two functions you will also see the result:
Value y = 8^x y = 2^(x+2)
-3 0,00195 0,5
-2 0,0156 1
-1 0,125 2
0 1 4
1 8 8
2 64 16
3 512 32