Answer:
69 3/4
Step-by-step explanation:
The stock market goes down to 50 3/4 at the beginning of the day
At the end of the day it goes up to 120 1/2
Therefore total change in the stock market from the beginning to the end of the day can be calculated as follows
= 120 1/2 - 50 3/4
= 241/2 - 203/4
= 279/4
= 69 3/4
Hence the total change in the stock market from the beginning to the end of the day is
69 3/4
Answer:
$243.
Step-by-step explanation:
We can use algebra here.
Let x = the original price.
Then 1/3 x - 27 = 54
1/3x = 54 + 27 = 81
x = 81 / 1/3
x = 81 * 3
x = $243 (answer).
(a).
The product of two binomials is sometimes called FOIL.
It stands for ...
the product of the First terms (3j x 3j)
plus
the product of the Outside terms (3j x 5)
plus
the product of the Inside terms (-5 x 3j)
plus
the product of the Last terms (-5 x 5)
FOIL works for multiplying ANY two binomials (quantities with 2 terms).
Here's another tool that you can use for this particular problem (a).
It'll also be helpful when you get to part-c .
Notice that the terms are the same in both quantities ... 3j and 5 .
The only difference is they're added in the first one, and subtracted
in the other one.
Whenever you have
(the sum of two things) x (the difference of the same things)
the product is going to be
(the first thing)² minus (the second thing)² .
So in (a), that'll be (3j)² - (5)² = 9j² - 25 .
You could find the product with FOIL, or with this easier tool.
______________________________
(b).
This is the square of a binomial ... multiplying it by itself. So it's
another product of 2 binomials, that both happen to be the same:
(4h + 5) x (4h + 5) .
You can do the product with FOIL, or use another little tool:
The square of a binomial (4h + 5)² is ...
the square of the first term (4h)²
plus
the square of the last term (5)²
plus
double the product of the terms 2 · (4h · 5)
________________________________
(c).
Use the tool I gave you in part-a . . . twice .
The product of the first 2 binomials is (g² - 4) .
The product of the last 2 binomials is also (g² - 4) .
Now you can multiply these with FOIL,
or use the squaring tool I gave you in part-b .
Answer:
Lower quartile: 85; median: 97; upper quartile 115.5
Step-by-step explanation:
Divide 3/4 by 1/8 and you should get 6 hurdles.
