2. The Martian Zoological Society has a unique display of the native monocephalous fauna:
Tripods (three feet each) and Pentapods (five feet each). When I was there, I counted 20 heads
and 84 feet.
a.) Draw a picture to find the solution.
b.) Set up a system of equations to make sure your "picture" answer is correct. Show your
work.

Answers

Answer 1

Answer:

There are 12 pentapods and 8 Tripods, which in total add up to 84 feet.

Step-by-step explanation:

Given that both the Tripods and the Pentapods have, at least, 3 feet (the Pentapods have 5), and that in total between both groups they add 20 heads and 84 feet, the following logical reasoning can be made:

If there are 20 heads, there are 20 Martians in all. Each of them has, at least, 3 feet, with which in principle the 20 Martians would add up to a total of 60 feet (20 x 3). Therefore, there is a surplus of 24 feet (84 - 60).

If the Pentapods have 2 feet more than the Tripods, the number of Pentapods in the total Martians is determined by that difference. Thus, if there are 24 feet left, there are 12 Pentapods (24/2).

Therefore, in the group of Martians there are 12 pentapods (12 x 5 = 60) and 8 Tripods (8 x 3 = 24), which in total add up to 84 feet (60 + 24).


Related Questions

a ____ is the total number of possible equal parts in a fraction

1. numerator
2. inverse operations
3. reciprocal
4. fraction
5. denominator
6. mixed number​

Answers

Answer: The answer is 5. The denominator.

Step-by-step explanation:

The answer is Denominator because it is the bottom of a fraction and shows how many parts.

FIRST RIGHT ANSWER GETS BRAINLIEST!!!!
A chimpanzee has a lifespan of approximately 50 years. The average lifespan of a Galapagos tortoise is at least 4 times that of a chimpanzee. Write an inequality to represent the lifespan of a Galapagos tortoise.

Answers

Answer:

w h a t

Step-by-step explanation:

Answer:

Step-by-step explanation:

chimpanzees, including the eating of colobus monkeys, by calling them (p3) ... times before the last 40,000-odd years, a time period which may ... metabolic limitation for humans of no more than 50% of calories to ... the evolutionary life span of our species, Homo sapiens, which is ... dead animals, from turtles to elephants.

A recipe for 12 bran muffins calls for one cup of flour the number of muffins that can be made varies directly with the amount of flour used there are two 2/3 cups of flour available how many muffins can be made

Answers

Answer: 8

Step-by-step explanation:

12 bran muffins in 1 Cup so for 2/3 it is

2/3*12 = 8

A denotes an mn matrix. Determine whether the statement is true or false. Justify your answer. The row space of AT is the same as the column space of A.

Answers

Answer: true

Step-by-step explanation:

For an m*n matrix, the column space of A will be a space formed by the lineal combination of all the columns of A.

column space = a1*c1 + a2*c2 + ...

                       

where a1, a2, ... are scalars, and c1 is the vector of column 1.

Then we should write:

Column space = a1*(A₁₁, A₂₁, A₃₁, ...) + a2*(A₁₂, A₂₂, A₃₂, ...) + ...

Now, the transpose is defined as:

[At]₁₃ = A₃₁

Here i used the element with subindex 3 and 1, but is the same for every subindex.

Notice that if A is m*n, then [At] is n*m

Now, the row space of [At] will be, same as before.

Row space = b1*r1 + b2*r2 + ...

Where b1, b2, ... are scalars and the r's are the vector of each row.

                   = b1*( [At]₁₁ , [At]₁₂, [At]₁₃, ...) + b2*([At]₂₁, [At]₂₂, [At]₂₃, ...) + ...

Now we replace each term of the transpose by the associated element in the original matrix.

                   = b1*( A₁₁, A₂₁, A₃₁, ...) + b2*(A₂₁, A₂₂, ...) + ....

If we take:

b1 = a1, b2 = a2, b3 = a3, ...

We will have that the row space of [At] is the same as the column space of A.

what is the radius of the cylinder​

Answers

Answer: 8 inches

Step by step

320 pi in^3= (r^2) (5in)
64 in^2 = r^2
r=8 in

what is the meaning of the word indiced

Answers

Basically means “ to succeed in persuading or influencing someone to do something “

Answer:

You may have mispelled the word and meant index, indiced means index

Step-by-step explanation:

a family rents a cottage for $79.95 a day for 7 days. about how much does the family pay for the cottage?

Answers

They will pay $559.65,rounded will be $560.00.


Hope this helped <3

Answer:

$560

Step-by-step explanation:

Since the family rents a cottage for 7 days, 79.95 dollars each day, we multiply 79.95 by 7 and get 559.65. Since the question asks about how much does the family pay, we round 559.65 to get $560.

If the simple interest on ​$3000 for 3 years is ​$720 ​, then what is the interest​ rate?

Answers

Answer:

8%

Step-by-step explanation:

Starting Principal: $  

3,000.00

Years:    

3

Annual Interest Rate:    

8

%

 

Results

Future Value, using...

 Simple Interest: $  

3,720.00

 Annually Compounded Interest: $  

3,779.14

What is the best estimate of 157 divided by 2=

What is the best estimate of 108 divided by 5=

Answers

Answer:

157 divided by 2 is 78.5 round that to get 70

108 divided by 5 is 21.6 round that to get 22

3/2:1/4 as a unit rate

Answers

Answer:

25

Step-by-step explanation:

Christian has a collection of 18 shark teeth. He identified them as 6 tiger shark teeth, 8 sand shark teeth, and the rest as bull shark teeth. What does the ratio 6:8 represent in this situation? What does the ratio 4:18 represent in this situation. Explain your reasoning. Include a model in your explanation. I​

Answers

Answer:

Step-by-step explanation:

There are 18 teeth

6 tiger + 8 sand = 14

18-14 = 4

This means there are 4 bull shark teeth

4:18

4 bull shark teeth: 18 total shark teeth

Answer:

Step-by-step explanation:  ratio 6:8 is tiger shark:sand shark

the ratio 4:18  is  bull shark teeth:all the teath

Ihope this helps :D

Javier had $305 in his bank account. His bank charges a fee of $7.50 each month that a balance is below $500. If he makes no other deposits or withdraws, how much money is in javier’s account at the end of three months?

Answers

Answer:

282.5

Step-by-step explanation:

7.50x3=22.50

305-22.50=282.5

I WILL MARK BRAINLIST
Question 9

Answers

Answer:

True

Step-by-step explanation:

True because I did that one too

(PLEASE HELP ASAP!!!)Micheal has five different stocks that he watches on a daily basis. The table shows the change in each stock price in dollars at the end of a trading day.

What is the correct order of the rational numbers in the table from least to greatest?

A) -1.5, 2.9, -1/2, 3 3/4, 4.6

B) -1/2, -1.5, 2.9, 3 3/4, 4.6

C) -1.5, -1/2, 2.9, 3 3/4, 4.6

D) 4.6, 3 3/4, 2.9, -1/2, -1.5

Answers

Answer:

C

Step-by-step explanation:

A 36-m-wide field is how many yards wide?
The field is yards wide.
(Type a whole number or a decimal. Round to three decimal places as needed.)

Answers

Answer 39.370

Step-by-step explanation:


1) Is the solution to -2.7 + x= -3.5 positive or
negative.

Answers

Answer:

positive because two negatives make a positive and the answer is not positive.

The solution of the expression -2.7 + x =-3.5 is -0.8 and is negative.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given expression is -2.7 + x= -3.5. The value of x will be calculated as,

-2.7 + x =-3.5

x = -3.5 + 2.7

x = -0.8

Therefore, the solution of the expression -2.7 + x =-3.5 is -0.8 and is negative.

To know more about an expression follow

https://brainly.com/question/25968875

#SPJ2

p – 22 < 40 . could you give me the answer and the steps thank you!

Answers

Answer:

the answer is 62

Step-by-step explanation:

ok so all you do is add 22 instead of subtracting 22

whatis the reciprocal of the number. 7/8

Answers

Answer:

8/7

Step-by-step explanation:

reciprocal is just the same number flipped

Answer:

8/7

Step-by-step explanation:

The reciprocal of a fraction is what you multiply with that fraction to get 1. Essentially, you flip the original fraction. The reciprocal of 7/8 is just flipping that to get 8/7. To check, 7/8 * 8/7 = 56/56 = 1

Let A = {1, 2, 3, 4, 5} and B = {2, 4}. What is A ∩ B​

Answers

Answer:

{2,4}

Step-by-step explanation:

If m ACD=100 degree,then m ECB=[?]

Answers

Answer:

100

Step-by-step explanation:

They are the same.

Hope I helped!

Answer:

100°

Step-by-step explanation:

ACD=ECB=100°

[Vertical opposite angles are equal]

Use the graph below for this question:

What is the average rate of change from x = −3 to x = 3?
a) −1
b) 0
c) 1
d) 6


Use the graph below for this question:
What is the average rate of change from x = 2 to x = 3?

a) 2
b)3
c) 0
d) 5

Answers

Answer:6 0

Step-by-step explanation:

Can someone help me plz

Answers

Answer:

blahhfhdhdhhshshhdhdhdhdhdhshhshhshshdh

Four more than three times a number is thirteen. What is this number?

Answers

Answer:

3

Step-by-step explanation:

13-4=9

9/3=3

Answer:

n=3

Step-by-step explanation:

Four more than three times a number is thirteen

3n + 4 = 13 subtract 4 on both sides

3n + 4 - 4 = 13 - 4 Simplify

3n = 9 divide both sides by 3

3n/3 = 9/3 Simplify

n=3 Answer

I hope this helps

2. Determine the scale factor of a drawing if the scale is 1 inch = 4 feet.

Answers

Answer: Therefore the scale factor is 48 times.

Step-by-step explanation: Since the drawing is in inches, the scale will be 1/4

the scale is 1 inch to 4 FEET.

Convert feet to inches

1 inch to 48 inches

So the ratio is 1:48

Do not understand this

Answers

Answer:

It has a volume of 512cm

Answer:

536 19/50 cm

Step-by-step explanation:

Volume = length*width*height

It's a cube so the length, width, and height are  8 1/8 cm's

8 1/8 = 65/8

65/8 * 65/8 * 65/8 = 274625/512

274625/512 = 536 19/50 cm

A rectangular yard has a width that is 10 feet longer than the width . If the the area of the yard is 600 squared feet , find the dimension of the yard

Answers

Answer:

length = 30 feet and width = 20 feet

Step-by-step explanation:

Let l is length and b is width of a rectangular yard. The area of a rectangle is given by :

A = lb ..(1)

A rectangular yard has a length that is 10 feet longer than the width.

length, l = 10+b ...(2)

ATQ,

Put the value of l in equation (1),

[tex](10+b)b=600\\\\10b+b^2=600\\\\b^2+10b-600=0\\\\b^2+30b-20b-600=0\\\\b(b+30)-20(b+30)=0\\\\(b+30)(b-20)=0\\\\b=-30\ \text{feet}\ \text{and}\ b=20\ \text{feet}[/tex]

Width can't be negative. The width is 20 feet.

Put the value of b is equation (2),

l = 10+20

l = 30 feet

Hence, the length and width are 30 feet and 20 feet.

There are 3,785 milliliters in 1 gallon, and there are 4 quarts in 1 gallon.

How many milliliters are in 3 gallons?

Answers

Answer:11,356

Step-by-step explanation: that is the answer! I’m sure

Answer:11.355

Step-by-step explanation:

Does anyone understand this?

Answers

Answer:

no looks confusing

Step-by-step explanation:

Yes, 18-1, 36-2 and so on, add 18 on the left side as you add 1 on the right, then put that on the graph

Determine the slope, y-intercept and equation of the graph below.

Answers

Answer:

Step-by-step explanation:

y intercept is 7.5

slope 1/2

y = 1/2x + 7.5

Select each situation that can represent a proportional relationship

The price of buying x gallons of gas at $3 a gallon.

The total amount of weight a kitten gains in w weeks when it gains 4 ounces per week and started at a weight of 6 ounces.

The price of renting a scooter for m miles when it costs $0.75 per mile plus a base fee of $2.50.

The total amount of money a child earns from doing chores when she earns $10 a week for w weeks.
Plz help!

Answers

Answer:

The 1st one and the last one

Step-by-step explanation:

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