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
zaharov [31]
2 years ago
10

Ants have 6 legs. Katie and Lukas write equations showing the proportional relationship between the number of ants, a, and the n

umber of ant legs, l.
Katie writes a = 6 • 1 and Lukas writes a = 1/6 • l.

Whose equation do you agree with?

A. Katie
B. Lukas
C. Both
D. Neither

Explain your reasoning.​
Mathematics
1 answer:
krek1111 [17]2 years ago
6 0

Answer:

A

Step-by-step explanation:

I agree with Katie because number is legs is directly proportional to the number of ants.

1 ant has 6 legs.

So, 2 ants have 6 *2 = 12

3 ants have 6*3 = 18

You might be interested in
Write the equation of the line that has undefined slope and passes through the point(-5,9)
jasenka [17]

Write the equation of the circle with center (3, 2) and radius r = 7. Use the ^ key for the exponents. Write your answer as the example: (x - 4)^2+(y+8)^2=25


6 0
3 years ago
A bus driver pays all tolls, using only nickels and dimes, by throwing one coin at a time into the mechanical toll collector.
lutik1710 [3]

Answer: a) An = An-1 + An-2

b) 55ways

Step-by-step explanation:

a) a nickel is 5 cents and a dime is 10cent so a multiple of 5 cents is the possible way to pay the tolls in both choices.

Let An represents the number of possible ways the driver can pay a toll of 5n cents, so that

An = 5n cents

Case 1: Using a nickel for payment which is 5 cents, the number of ways given as;

An-1 = 5( n-1)

Case 2: using a dime which is two 5 cents, the number of ways is given as;

An-2 = 5(n-2)

Summing up the number of ways, we have

An = An-1 + An-2

From the relation,

If n= 0, Ao= 1

n =1, A1= 1

b) 45 cents paid in multiples of 5cents will give us 9 ways(A9)

From the relation, we have that

Ao = 1

A1 = 1

An =An-1 + An-2

Ao = 1

A1 = 1

A2 = A1+Ao = 1+1= 2

A3 = A2 + A1 = 3

A4 = A3+A2=5

A5=A4+A3=8

A6=A5+A4=13

A7 =A6+A5 = 21

A8= A7+A6= 34

A9= A8+A7= 55

So there are 55ways to pay 45cents.

4 0
2 years ago
If you are self-employed, you don't have to pay FICA on all your salary, just on 92.35% of it. If your salary is $128,255 what i
Artist 52 [7]

Answer:

The amount that I am required to pay monthly as FICA if my salary remains constant is $18,121.85¢

Step-by-step explanation:

Federal insurance contributions act is a law that mandates all employers of labour to withhold medicare and certain taxes from the wages that are paid to employees or workers. These taxes are remitted to the government later which is then used for the provision of basic amenities and quality health care.

Since, I am only required by law to pay FICA on only 92.35% of my monthly salary, we need to calculate the the actual amount that makes up 92.35 percent of my monthly salary.

If $128,255 is my current monthly salary, then 92.35% of it will be:

92.35/100 × 128,255

= 0.9235 × 128,255

= $118,443.49¢

This is the part of his monthly salary that he is required by law to pay FICA on.

Then, if FICA is 15.3% of a worker's taxable income, then I am required to pay 15.3% of the taxable $118,443.49¢ since I am self employed and mustn't pay it on the entire $128,255 that I earn monthly.

My monthly FICA contribution is then:

15.3/100 × 118,443.49

= 0.153 × 118,443.49

= $18,121.85¢.

Therefore, if my salary remains constant, the amount that I am required by law to pay monthly as FICA is $18,121.85

6 0
3 years ago
Read 2 more answers
47 was divided by the power of ten to get 0.047 what power of ten was divided
Dmitrij [34]

Answer:

1,000

Step-by-step explanation:

47 to 0.047 moves 3 places

47, 4.7, 0.47, 0.047

this means that the power of then used should have 3 0's

making the power of ten 1,000

3 0
3 years ago
Can someone help me solve #9!?
yarga [219]
Dy/dx = (4y²)(x⁴/³)

Find ∫(4y²)(x⁴/³) =∫(4y²∛(x⁴)dx = 3∛(x⁴).y² +c or 3x⁴/³.y² + c
4 0
3 years ago
Other questions:
  • An initial population of 12 earthworms increases by 4% each year. If the function f(x) = abx models this situation, which functi
    5·1 answer
  • Beach ball has a diameter of 10 in what is the volume of air contained inside the beach ball
    14·2 answers
  • 5(x+4)+10-2x+3(2x+9)
    15·1 answer
  • How to identify the square roots of each term​
    7·1 answer
  • The sum of an irrational number and a rational number is irrational. Sometimes True Always True Never True
    9·2 answers
  • Can’t put it Into a question because it is a graph kinda urgent
    10·2 answers
  • consider a sphere which area (in square meters) equal to its volume (in cubic meters) what is the radius (in meters) of this sph
    6·1 answer
  • Which expression is equivalent to 24 - (-6)?
    11·1 answer
  • Determine the relationship between the two triangles and whether or not they can be proven to be congruent. ​
    9·1 answer
  • Write an equation in slope-Intercept form for the line with slope 2/5 and y- intercept - 3
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!