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Licemer1 [7]
3 years ago
15

Jeff hikes 1/2 mile every 15 minutes, or 1/4 hour. Lisa hikes 1/3 mile every 10 minutes, or 1/6 hour. How far do they each hike

in 1 hour?​
Mathematics
1 answer:
inessss [21]3 years ago
6 0

Answer:

they each hike 2 miles

Step-by-step explanation:

Jeff: 15=1/2

        *4    *4

      60 min=2 miles

Lisa:  10=1/3

          *6   *6

        60 = 2

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A farmer owns pigs, chickens, and ducks. When all her animals are together, she has 30 feathered animals, and the animals all to
tatiyna

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.

3 0
3 years ago
The local genealogical society in Coles County, Illinois, has compiled records on all 55,914 gravestones in cemeteries in the co
krok68 [10]

Answer:

Step-by-step explanation:

There are 2 ways to proceed further.

Option A is with using the random number table.

  1. Let us assume that each gravestone has  a unique number between 1 and 55914.
  2. Choose a row at random from  the table.
  3. 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.
3 0
3 years ago
Haley's car gets at least 17 miles per gallon. If she plans a trip that is 250 miles, what is the minimum number of gallons she'
icang [17]
Divide 250 miles by 17 mpg:

250 miles
-------------- = 14.7 gallons (absolute mininum).  Go for 15 gallons.
  17 mpg
4 0
3 years ago
Read 2 more answers
Use the vocabulary term "absolute value" to explain the term opposite as it pertains to positive and negative numbers. Explain w
Anika [276]
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.
3 0
3 years ago
If (a-bi)^2 = 13 - 12i, what is the product of a and b?
VARVARA [1.3K]

Answer:

\large \boxed{\sf \ \ \ a\cdot b= 6 \ \ \ }

Step-by-step explanation:

Hello,

(a-bi)^2 = 13 - 12i\\\\ a^2+(bi)^2-2abi = 13-12i\\\\a^2-b^2-2abi=13-12i

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

6 0
3 years ago
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