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
navik [9.2K]
3 years ago
6

The quotient of two numbers is 20. Their sum is 84. What are the two numbers?

Mathematics
1 answer:
Zinaida [17]3 years ago
3 0
The two numbers are 80 and 4.
The quotient of 80 and 4 is 20: 80 ÷ 4 = 20
The sum of 80 and 4 is 84: 80 + 4 = 84
You might be interested in
The position vector for a particle moving on a helix is
topjm [15]

Answer:

a) 25.15

b)

   x = 1

   y = t

   z = (4pi)^2 + t *(8pi) = 4pi(4pi + 2t)

c) (x,y) = (1, -2pi)

Step-by-step explanation:

a)

First lets calculate the velocity, that is, the derivative of c(t) with respect to t:

v(t) = (-sin(t), cos(t), 2t)

The velocity at t0=4pi is:

v(4pi) = (0, 1, 8pi)

And the speed will be:

s(4pi) = √(0^2+1^2+ (8pi)^2) = 25.15

b)

The tangent line to c(t) at t0 = 4pi has the parametric form:

(x,y,z) = c(4pi) + t*v(4pi)

Since

 c(4pi) = (1, 0, (4pi)^2)

The tangent curve has the following components:

x = 1

y = t

z = (4pi)^2 + t *(8pi) = 4pi(4pi + 2t)

c)

The intersection with the xy plane will occurr when z = 0

This happens at:

  t1 = -2pi

Therefore, the intersection will occur at:

(x,y) = (1, -2pi)

6 0
3 years ago
Four points partition the directed line segment from A to B. • Point P partitions the directed line segment from A to B into a 3
Alecsey [184]

Answer:

S is closest to B.

Step-by-step explanation:

Given a directed line segment from point A to B.

Point P divides the line A to B in a ratio 3:4.

Point Q divides the line A to B in a ratio 4:3.

Point R divides the line A to B in a ratio 2:5.

Point S divides the line A to B in a ratio 5:2.

To find:

The point which is closest to the point B.

Solution:

Here, to find the point closest to B we need to find the distances PB, QB, RB and SB.

We can see the sum of ratio 3:4, 4:3, 2:5 and 5:2 is 7.

Let the distance between A and B be 7 units.

Now, the distances can be found easily.

PB = \dfrac{4}{7}\times 7 = 4\ units

QB = \dfrac{3}{7}\times 7 = 3\ units

RB = \dfrac{5}{7}\times 7 = 5\ units

SB = \dfrac{2}{7}\times 7 = 2\ units

The point which has the minimum distance from point B, will be nearest to B.

We can clearly observe that SB is the minimum distance.

Therefore, <em>S is closest to B</em>.

4 0
2 years ago
Read 2 more answers
Suppose the expression a(b)n models the approximate number of people who visited an aquarium each day since an aquarium opened,
mel-nik [20]

Answer:

A

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
For the function defined by [Image Displayed], What is the constant of proportionality?
GaryK [48]

Answer:

I think the answer is undefined because the question above is an expression of f of x not a statement of variation which should have a constant of proportionality

3 0
3 years ago
I NEED HELP PLEASE! TEST
SIZIF [17.4K]

Answer:

Yes by SSS because you have the same hypotenuse and same hatch marks on other sides

6 0
3 years ago
Read 2 more answers
Other questions:
  • John saved money to have a party if he spends 2/8 of his money on food 1/5 of his money on prizes and 2/10 of his money on decor
    14·1 answer
  • Z = the sales tax percentage for a randomly selected amazon purchase, where n = the total number of possible sales tax percentag
    7·1 answer
  • Pleasssseeee hheeelllppp
    15·1 answer
  • Complete the proof showing that DE is parallel to AC
    13·1 answer
  • Repost: I don't want anyone to give me the answer. I just need to know the best way to solve it.
    7·1 answer
  • Angle a measures 110 degrees angle b measures 72 degrees the measure of angle D is
    12·1 answer
  • This question needs to be answered, been stuck on this for 20 minutes.
    10·1 answer
  • Gavin wants to buy a bike which costs 1,000 dollars. He raised 250 so far from his shoe shop. How much more does Gavin need to r
    7·2 answers
  • Christopher is 20 years younger than Ishaan. Ishaan and Christopher first met two years ago. 14 years ago ishaan was 3 times as
    11·1 answer
  • Find the nth term of this quadratic sequence 4 9 16 25 36
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!