Answer:
825 pesos a day on average
1 dozen weight = 2.4 kg
Step-by-step explanation:
In ENGLISH:
Doña Gertrudis collects on average 75 liters of goat milk per day and uses around 5 liters to make one kilogram of cheese. The cheeses he makes weigh 200 grams each and he sells them for 132 pesos a dozen. How much money do you get per day on average from the sale of your cheeses? How many kilograms does the dozen cheeses weigh?
<u>Solution:</u>
75 Liters / 5 Liters = 15
15 * 1 kg = 15 kg of cheese per day
15kg in grams is 15*1000 = 15,000 grams
Each cheese block is 200 grams, so number of blocks of cheese:
15,000/200 = 75 blocks of cheese
1 dozen (12) = 132 pesos, so 1 would be:
132/12 = 11 pesos PER BLOCK
SO, 75 blocks of cheese = 75 * 11 = <u>825 pesos (per day on average)</u>
<u></u>
Dozen cheese weight in kg,
200 grams * 12 = 2400 grams
In kg,
2400/1000 = <u>2.4 kg</u>
Answer:
B) 2
Below I wrote the steps on how I would find the answer.
Step-by-step explanation:
1. Yep, so basically cba = cbl + lba.
2. So you need to find x
3. So basically if you set up the equation 61x - 2 = 13x - 1 + 95
4. Then you can solve for x
5. X = 2
Answer:
B. {16, 19, 20}
Step-by-step explanation:
The <em>triangle inequality</em> requires for any sides a, b, c you must have ...
a + b > c
b + c > a
c + a > b
The net result of those requirements are ...
- the sum of the two shortest sides must be greater than the longest side
- the length of the third side lies between the difference and sum of the other two sides
__
If we look at the offered side length choices, we see ...
A: 8+11 = 19 . . . not > 19; not a triangle
B: 16+19 = 35 > 20; could be a triangle
C: 3+4 = 7 . . . not > 8; not a triangle
D: 5+5 = 10 . . . not > 11; not a triangle
The side lengths {16, 19, 20} could represent the sides of a triangle.
_____
<em>Additional comment</em>
The version of triangle inequality shown above ensures that a triangle will have non-zero area.
The alternative version of the triangle inequality uses ≥ instead of >. Triangles where a+b=c will look like a line segment--they will have zero area. Many authors disallow this case. (If it were allowed, then {8, 11, 19} would also be a "triangle.")
Answer:
There are 216 employees
Step-by-step explanation:
First you divide 126 by 7 (number of women) and you get 18 then you times that by 5 (total number of men) and you get 90 finally you add 90 (men) and 126 (women) to get 216 employees in total.
We could do it with algebra. But we can also do it the long way, which is
shorter than the algebraic way.
The digit in the tens place is 3 times the digit in the units place.
So the number MUST be
31, or
62, or
93 .
It can't be anything else.
Now here they are again, with the reverse of each one:
31 . . . 13 The new number is 18 less.
62 . . . 26 The new number is 36 less.
93 . . . 39 The new number is 54 less.
Obviously, the original number is 62.