Answer:
Step-by-step explanation:
for 1st week=1 ¢
for 2nd week= 2¢
for 3rd week= 4¢
for 4th week=8¢
for 5th week=16¢
for 6th week=32¢
for 7th week=64¢
for 8th week=64+64=128¢
for 9th week= 128+128=256¢
for 10th week= 256+256=512¢
.: he saved a total of
1+2+4+8+16+32+64+128+256+512=1023¢
1023¢=1023/100=$10.23
1/4 x 4/7
do the top numbers first. 1 x 4 is 4do bottom numbers next 4 x 7 is 28
that leaves you with 4/28. But you have to reduce.
4/28 = 2/14 = 1/7 (notice I just cut both the top and bottom numbers in half each time I reduced until I couldn't reduce any more).
So, final answer is 1/7
Must be 16 and 21 because we can see
30 and 70 has 10 as factor
24 and 44 has 2 as factor
12 and 30 has 2 as factor and all those factors are greater than one
At the beginning, the chances that the teacher will choose a student who has forgotten his lunch are 2/10, or 1/5.
If the teacher now chooses another student from the remaining 9 students, the chances of his choosing a student who has forgotten his lunch are 1/9, since one of the forgetful students has already been removed from the original group of 10 students, and there are only 9 in the group remaining.
The probability that both students forgot lunch is (1/5)(1/9), or 1/45.
Vectors give us direction and distance. the first part of our ordered pair moves us in the x direction (left and right), and the second member of the ordered pair moves us in the y direction (up and down)
if you plotted each point along the move, you would go from (7,17) and move -1 in the x direction and 0 in the y, ending up at (6,17). From there, we move 2 in the x direction and 7 in the y, to (8,24).
basically we just add all of the x's together and the y's together since we are moving in a specific direction from a point to a new point.
so
x=7+-1+2+2=10
y=17+0+7+10=34
and we end up at (10,34)