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
pickupchik [31]
2 years ago
15

Juan divides the 75 minutes that the kangaroo contest lasts, devoting a time proportional to the points it is worth to each prob

lem. How much time do you spend on each 5-point problem?
Mathematics
1 answer:
raketka [301]2 years ago
8 0

Using proportions, it is found that Juan spends 15 minutes on each 5-point problem.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and is solved using a rule of three.

In this problem, the amount of time is proportional to the amount of points the problem is worth. Hence, for a 5-point problem, in a 75-minute time, the time is given by:

t = 75/5 = 15 minutes.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

You might be interested in
Plz help with this word problem
s344n2d4d5 [400]
Well, this problem is best solved by setting up a system of two linear equations.

A linear equation can be defined 
y=mx+b
where 
b=initial value (when x=0), and
m=rate of increase or decrease.

In the given example, the x-axis represents hour, and the y-axis, number of cells.

Chemical #1 
initial value = b = 12000 cells
rate = m = -4000 / hr
The equation is therefore 
y1=-4000x+12000......................(1)

Similarly, for chemical #2
initial value = b = 6000 cells
rate = m = -3000 / hr
The equation is therefore
y2=-3000x+6000 .......................(2)

The time the two will have an equal sized colony would represent the solution of the system of equations (1) and (2), i.e. when  y1=y2
which means
-4000x+12000 = -3000x+6000
transpose and solve for x
4000x-3000x = 12000-6000
1000x=6000
x=6 hours.

At 6 hours from the start, 
y=-4000x+12000 = -4000*6+12000 = -24000+12000 = -12000 cells

So the solution is x=6, y=-12000, or (6,-12000)

Physical interpretation
Since cells cannot have a negative number, the two are actually equal before six hours, when they are both zero.
Case 1: y=0 when x=3
Case 2: y=0 when x=2

Therefore, after three hours, both trials will have zero cells.

You have to judge whether to give the mathematical solution (x=6,y=-12000) or the physical interpretation (x=3, y=0) as the answer.


6 0
3 years ago
Read 2 more answers
Plz help me solve this ASAP and show the work thank you
Vinil7 [7]

Answer:

14

Step-by-step explanation:

The diagram is right angle triangle so we can use SOHCAHTOA

So in the diagram we have 62 degree opposite to x and the hypotenuse

Step 1

Sin62=x/16

Step 2

X=16sin62 by cross multiplication

Step 3

X=14.13

X=14

6 0
3 years ago
Heyy Answer please and explain
ludmilkaskok [199]

Answer: V=37.5 cm³

Step-by-step explanation:

Formula

V=(πr²h)/3

Given

r=5/2=2.5 cm

h=6 cm

Solve

V=(πr²h)/3

V=(π(2.5)²(6))/3

V=(π(6.25)(6))/3

V=37.5π/3

V=37.5(3)/3

V=37.5 cm³

Hope this helps!! :)

Please let me know if you have any questions

5 0
3 years ago
Write the equation of the trigonometric graph.
prisoha [69]

Answer:

f(x)= \sin(6x)+3

Step-by-step explanation:

The parent function of this graph is:  y = sin(x)

The sine function is periodic, meaning it repeats forever.

Standard form of a sine function:

f(x) = \sf A \sin (B(x + C)) + D

  • A = amplitude (height from the mid-line to the peak)
  • 2π/B = period (horizontal distance between consecutive peaks)
  • C = phase shift (horizontal shift - positive is to the left)
  • D = vertical shift

The parent function y = sin(x) has the following:

  • Amplitude (A) = 1
  • Period = 2π
  • Phase shift (C) = 0
  • Vertical shift (D) = 0
  • Mid-line:  y = 0

From inspection of the given graph:

  • Amplitude (A) = 1
  • \sf Period=\dfrac{\pi}{12}-\dfrac{-\pi}{4}=\dfrac{\pi}{3}
  • Phase shift (C) = 0
  • Vertical shift (D) = +3  (as mid-line is y = 3)

\sf If\:Period=\dfrac{\pi}{3} \implies \dfrac{2 \pi}{B}=\dfrac{\pi}{3}\implies B=6

Substituting the values into the standard form:

\implies f(x) =1 \sin (6(x + 0)) + 3

\implies f(x) = \sin (6x) + 3

Therefore, the equation of the given trigonometric graph is:

f(x)= \sin(6x)+3

6 0
2 years ago
NEED HELP PLEASE!!!<br><br> Given f(x)=9x+4 and g(x)= -5x+1, what is g(x)-f(x)?
GenaCL600 [577]

Answer:

g(x) - f(x) = -14x - 3

Step-by-step explanation:

We need to subtract the function f(x) = 9x + 4 from the function g(x) = -5 + 1.  Rewriting these two functions in columns, we get

       g(x)= -5x+1

      - f(x) = -(9x+4)         Note:  Use parentheses as shown here.

--------------------

g(x) - f(x) = -14x - 3

6 0
2 years ago
Other questions:
  • Match the confidence level with the confidence interval for the population mean. type the correct letter in each box. equation e
    13·1 answer
  • Keith bought
    9·1 answer
  • What is 4.45 repeating as a fraction?
    9·2 answers
  • What is the equation of the line that passes through the point (6,3) and has a slope of -1/3
    9·1 answer
  • Evaluate. -1/2y + 3 = -12
    11·1 answer
  • Can some one help me ASAP please
    5·2 answers
  • A sample of iron-59 contains 50mg. One hundred days later, the sample contains 10.75 mg. What is the half-life of iron-59, in da
    8·1 answer
  • Hihihihi im backkkkkkk<br> please help :D
    6·2 answers
  • Sara picked 18 to 24 roses she divided flowers into groups so that the same number of tulips and roses were in each bouquet. Wha
    12·1 answer
  • Daniel is trying to pick out an outfit for the first day of school. He can choose from 4 pairs of pants, 3 t-shirts, and 3 pairs
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!