Answer:
7/2.7/5.5 = 140
297
≅ 0.4713805
Step-by-step explanation:
Divide: 7 / 2.7 = 7
1
· 10
27
= 7 · 10
1 · 27
= 70
27
To divide one fraction by another, invert (turn upside-down) the second fraction, then multiply.
Conversion a decimal number to a fraction: 5.5 = 55
10
= 11
2
Divide: 70
27
: 5.5 = 70
27
· 2
11
= 70 · 2
27 · 11
= 140
297
To divide one fraction by another, invert (turn upside-down) the second fraction, then multiply.
Answer:
2010
Step-by-step explanation:
If the numbers are x and y, you have ...
x +y = 97
x -y = 37
Adding these two equations gives ...
2x = 134
x = 67
y = 67 -37 = 30
The product is then ...
xy = (67)(30) = 2010
__
<em>Alternate solution</em>
There is no need to find the actual numbers. We can go directly to their product.
(x+y)² = x² +2xy +y² = 97² = 9409
(x-y)² = x² -2xy +y² = 37² = 1369
Subtracting the second equation from the first gives ...
4xy = 9409 -1369 = 8040
xy = 8040/4 = 2010
Of course the difference of squares can be factored, so we could compute ...
(97² -37²)/4 = (97 +37)(97 -37)/4 = 134(60)/4 = 134(15) = 2010
In a half hour the bacteria population will multiple by 1 and 1/2.
