Answer: 16,384
Step-by-step explanation:
The seven marbles have different colours, so we can differentiate them.
Now, suppose that for each marble we have a selection, where the selection is in which jar we put it.
For the first marble, we have 4 options ( we have 4 jars)
For the second marble, we have 4 options.
Same for the third, for the fourth, etc.
Now, the total number of combinations is equal to the product of the number of options for each selection.
We have 7 selections and 4 options for each selection, then the total number of combinations is:
C = 4^7 = 16,384
P=2w+2l
We know that P=90 and l=15 so we can plug in and solve for w:
90=2w+2(15)
90=2w+30
60=2w
30=w
The width is 30.
(you could draw a diagram by labelling the two shorter sides 15 and the other sides w)
Hope this helps!!
Answer:
2,734,500
Step-by-step explanation:
27,345 × 113 - 27,345 × 13 ← factor out 27,345 from each term
= 27,345(113 - 13)
= 27,345 × 100
= 2,734,500
Imagine a number line and then go to -28. Do you go left or right?
4*(1/2)^0 + 4*(1/2)^1 + 4*(1/2)^2 =
4 + 2 + 1 = 7