1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Paul [167]
3 years ago
10

In a field there are cows, birds, and spiders. Spiders have 4 eyes and 8 legs each. In the field there are 20 eyes and 30 legs.

All three animals are present, and there is an odd number of each animal. How many spiders, cows, and birds are present?
Mathematics
1 answer:
Kitty [74]3 years ago
7 0

Answer:

1 spider, 3 cows, 5 birds.

Step-by-step explanation:

Cows (C): 4 legs, 2 eyes.

Birds (B): 2 legs, 2 eyes.

Spiders (S): 8 legs, 4 eyes.

The number of legs and eyes are given, respectively by:

30 = 4C+2B+8S\\20 = 2C+2B+4S

Multiplying the second equation by -2 and adding it to the first one gives us the number of birds:

30 -40= 4C-4C+2B-4B+8S-8S\\-10 = -2B\\B=5

Rewriting the original equations with B =5:

30 = 4C+2*5+8S\\20 = 2C+2*5+4S\\20 = 4C+8S\\10 = 2C+4S\\C=5-2S

Since the number of cows cannot be negative, and both C and S must be odd numbers, the only possible value of S is 1:

C=5-2S\\S=1\\C=3

You might be interested in
Calculate the state income tax owned on a 40,000 per year salary
kenny6666 [7]

Answer:

The state income tax to be paid will be $ 2,300.

Step-by-step explanation:

Given that an annual salary of $ 40,000 pays a state income tax of 5.75% of said value, to determine the total amount of tax to be paid, the following calculation must be made:

40,000 x 5.75 / 100 = X

230,000 / 100 = X

2,300 = X

Therefore, the state income tax to be paid will be $ 2,300.

8 0
3 years ago
Hey I really need help on this question please
Dmitry_Shevchenko [17]
A circle’s standard form of an equation is:
(x-h)^2 + (y-k)^2 = radius^2

Plug in h and k immediately because that is something you automatically know. H and k are derived from the center of the circle. The center of the circle is (h,k). Don’t get tripped up though, your center of a circle has negative coordinates. When you have two negatives, they become positive.

So now you have:
(x+4)^2 + (y-2)^2 = radius^2

So figure out what the radius is. Use the distance formula to find out. You have a change of 5 from -4 to 1 in x. You have a change of 2 from 2 to 4 in y. Distance formula has the distance as the square root of x distance squared and y distance squared. That would mean that the distance/radius is equal to the square root of (25 + 4). 5 squared is 25 while 2 squared is 4.

The radius of the circle is equal to the square root of (29). However, looking back at the circle equation the radius should be squared for the equation. Square root of 29 squared gets you 29.

Plug that in and you get:
(x+4)^2 + (y-2)^2 = 29

5 0
2 years ago
What are the coefficients in the expression 4x6y+8
maria [59]

Answer:

4 and 6.

Step-by-step explanation:

They are the numbers before the variable.

That is 4 and 6.

8 0
3 years ago
Jada and her sister watched a cartoon movie that was 1 hour and 35 minutes long. After the movie, they played a card game for 30
sesenic [268]

Answer:

10:45 - they started watching the film at this time

Step-by-step explanation:

8 0
3 years ago
Devin has a new job as an apple employee he is paid $16 per hour a one time bonus of $4,325. If he earns $4,997 on his paycheck,
Snezhnost [94]
$4,997 paycheck - $4325 bonus = $672 earnt
$672 earnt / $16 per hour = 42 hours

Devin worked:

42 hours
5 0
3 years ago
Other questions:
  • Consider the graph of the quadratic function y = 3x2 – 3x – 6.
    13·1 answer
  • Marilyn has 7/8 yard of ribbon. What is the maximum number of 1/16 yard-long pieces Marilyn can cut from this ribbon?
    10·1 answer
  • Plz help me with this qustion
    13·2 answers
  • Please answer correctly! I will mark you as Brainliest!
    5·1 answer
  • Which 2 grids have 25% shaded?​
    12·1 answer
  • Need help now plez i need it plez ;(
    15·1 answer
  • If p(x)= 2^x, what is the value of p(3) - p(2)?
    6·1 answer
  • The formula for the volume of a cube is V = s³, where s represents the side length of the cube. If a cube has a side length of 4
    13·2 answers
  • Factor of -2800 and -2
    8·1 answer
  • Please help serious answers only
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!