To solve this problem, let us first assign some
variables. Let us say that:
x = pigs
y = chickens
z = ducks
From the problem statement, we can formulate the
following equations:
1. y + z = 30 --->
only chicken and ducks have feathers
2. 4 x + 2 y + 2 z = 120 --->
pig has 4 feet, while chicken and duck has 2 each
3. 2 x + 2 y + 2 z = 90 --->
each animal has 2 eyes only
Rewriting equation 1 in terms of y:
y = 30 – z
Plugging this in equation 2:
4 x + 2 (30 – z) + 2 z = 120
4 x + 60 – 2z + 2z = 120
4 x = 120 – 60
4 x = 60
x = 15
From the given choices, only one choice has 15 pigs. Therefore
the answers are:
She has 15 pigs, 12 chickens, and 18 ducks.
Answer:
Step-by-step explanation:
There are 2 ways to proceed further.
Option A is with using the random number table.
- Let us assume that each gravestone has a unique number between 1 and 55914.
- Choose a row at random from the table.
- Take the first number consisting of 5 digits, if the number corresponds with a number between 1 and 55914, then select the corresponding plot, otherwise move on to the next 5 digit-number.
Repeat until 395 gravestones have been selected.
Option B is with using any calculator with capability of generating random integer. Here for example consider any TI series programmable calculator.
- Enter the following command into your calculator:
randInt(1,55914,395)
- The first and second number are the lower and upper limits between which the values have to lie.
- The third number is the number of required selections.
Divide 250 miles by 17 mpg:
250 miles
-------------- = 14.7 gallons (absolute mininum). Go for 15 gallons.
17 mpg
Zero is the opposite of it self because nothing can goes into zero. Zero can never be lower them a negative number order than a positive number.
Answer:
Step-by-step explanation:
Hello,
Imaginary term must be the same so
-2ab=-12
2ab = 12
ab = 12/2 = 6
So the product of a and b is 6
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
