A withdrawal from an account means taking money out of your account. That means whatever money you have in there becomes a smaller amount because you're subtracting money from the account.
So, to work out how much money Jan withdrew as a negative sum, you just have to look at how much she took out:
-25 - 45 - 75 = -$145
This means Jan took out $145 from her account, and we write it with a negative sign because it's money that's going to be taken away from whatever's in there.
The same thing applies to Julie:
-35 - 55 - 65 = -$155
Julie took out $155 from her account, so her withdrawals were -$155.
Therefore, your final answer for 24a. is -$145 and your answer for 24b. is -$155.
Answer:there are 16 goats and 22 chickens.
Step-by-step explanation:
Let x represent the number of goats in the field.
Let y represent the number if chicken in the field.
After a quick count, you determine there are 38 heads and 108 feet in the field. A goat has one head. A chicken also has one head. It means that
x + y = 38
A goat has four legs. A chicken has 2 legs. It means that
4x + 2y = 108 - - - - - - - - - - - 1
Substituting x = 38 - y into equation 1, it becomes
4(38 - y) + 2y = 108
152 - 4y + 2y = 108
- 4y + 2y = 108 - 152
- 2y = - 44
y = - 44/ - 2
y = 22
x = 38 - y = 38 - 22
x = 16
Answer:
then 2x = 0 and x - 3 = 0
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
I think we had a question similar to this before. Again, let's figure out the vertical and horizontal distances figured out. The distance from C at x=8 to D at x=-5 is 13 units while the distance from C at y=-2 to D at y=9 is 11 units. (8+5=13 and 2+9=11, even though some numbers are negative, we're looking at their value in those calculations)
Next, we have to divide each distance by 4 so we can apply it to the ratio. 13/4=
and 11/4=
. Next, we need to read the question carefully. It's asking us to place the point in the ratio <em>3</em> to <em>1</em> from <em>C</em> to <em>D</em>. The point has to be closer to endpoint D because of this. Let's take each of our fractions, multiply them by 3, then add them towards the direction of endpoint D to get our answer (sorry if that sounds confusing):
Therefore, our point that partitions CD into a 3:1 ratio is (
).
I'm not sure if there was more to #5 judging by how part B was cut off. From what I can understand of part B, however, I believe that Beatriz started from endpoint D and moved towards C, the wrong direction. She found the coordinates for a 1:3 ratio point.
Also, for #6, since a square is a 2-dimensional object, the answer needs to be written showing that. The answer for #6 is 9 units^2.
Answer:
i think its an isoceles
Step-by-step explanation:
