Answer:
12.75w + 25 = 114.25
w = 7
Step-by-step explanation:
since sarah is receiving 12.75 each week for a number of weeks, w (we don't know its value yet) we know that first part of the equation: that 12.75 is the coefficient next to w. Then we have the extra 25, so we know that adding 12.75w and 25 would give us sarah's total amount, which is 114.25.
to find out what w represents, we have to solve for it. solving for w means isolating it on one side. so, what we can do first is subtract 25 from both sides. that would then make the equation:
12.75w = 89.25
now, we have only one step left to isolating w, and that's to get 12.75 on the other side somehow. since we're multiplying 12.75 with w, and we're applying additive inverse properties, meaning the opposite of what is happening to cancel it out on the side it's in, we would divide 12.75 on both sides. in the left, 12.75 would cancel out, and in the right, we would divide 89.25 by 12.75. the quotient is 7.
now there's nothing left to take out to isolate w, so we have:
w = 7
sarah saved up for 7 weeks.
Answer:
FJ= 24
DM= 16
EM= 18
Step-by-step explanation:
The centroid is twice as close along any median to the side that the median intersects as it is to the vertex it emanates from.
So in the case of FJ, the median intersects the side at point J and extends from vertex F. This means that FM is twice as long as MJ. It tells us that MJ is 8, so MF would be 16. Now because FJ is just FM+MJ, <u>FJ is 24.</u>
It also tells us that DK is 24, which means that DM+MK = 24. If DM is twice as long as MK, that would make MK equal to 8 and <u>DM equal to 16</u>
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Similarily, EM would be twice as long as ML. It says that ML=9 so that would make <u>EM=18</u>
Answer:x is GREATER than or EQUAL to 3/2 or 1 and 1/2
Step-by-step explanation:
I’ve added a picture of my work. Dont forget to swap the sign when multiplying or dividing by a negative!!
If x is inversely proportional to y, then:
x=k/y.
When y=2, x=3.
3=k/2, therefore k=6.
So, x=k/y is in fact x=6/y.
When x=9:
9=6/y
9y=6
y=6/9=2/3.
