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
Ivanshal [37]
2 years ago
14

A town has two high schools. All of the 11th grade girls from both schools will combine to form a district debate team. Only 20

Mathematics
1 answer:
MariettaO [177]2 years ago
5 0

Answer:

<h2>60</h2>

Step-by-step explanation:

You might be interested in
Find the measure of an angle between 0 and 360 coterminal with -323
Roman55 [17]
I hope this helps
<span>372° - 360° = 12°</span>
7 0
3 years ago
A man travels 20 km by car from Town P to Town Q at an average speed of x km/h. He finds that the time of the journey would be s
yuradex [85]

Answer:

x = 20.

Step-by-step explanation:

First, you should remember the relation:

Distance = Speed*Time.

First, we know that a man travels a distance of 20km at a speed of x km/h, in a time T.

We can write this as:

20km = (x km/h)*T

We know that the time is shortened by 12 minutes if the speed is increased by 5km/h

Rewriting these 12 minutes in hours (remember that 60min = 1 hour)

12 min = (12/60) hours = 0.2 hours

Then from this, he can travel the same distance of 20km in a time T minus 0.2 hours if the speed is increased by 5 km/h

We can write this as:

20km = (x + 5 km/h)*(T - 0.2 h)

Then we have a system of two equations, and we want to find the value of x:

20km = (x km/h)*T

20km = (x + 5 km/h)*(T - 0.2 h)

First, we should isolate the variable T in one of the equations, if we isolate it in the first one, we will get:

20km/(x km/h) = T

Replacing that in the other equation we get:

20km = (x + 5 km/h)*(T - 0.2 h)

20km = (x + 5 km/h)*( 20km/(x km/h) - 0.2 h)

Now we can solve this for x.

Removing the units (that we know that are correct) so the math is easier to read, we get:

20 = (x + 5)*(20/x - 0.2)

We only want to solve this for x.

20 = x*20/x - x*0.2 + 5*20/x - 5*0.2

20 = 20 - 0.2*x + 100/x - 1

subtracting 20 in both sides we get:

20 - 20 = 20 - 0.2*x + 100/x - 1 - 20

0 = -0.2*x + 100/x - 1

If we multiply both sides by x we get:

0 = -0.2*x^2 + 100 - x

-0.2*x^2 - x + 100 = 0

This is just a quadratic equation, we can solve it using the Bhaskara's equation, the solutions are:

x = \frac{-(-1) \pm \sqrt{(-1)^2 - 4*(-0.2)*100} }{2*-0.2}  = \frac{1 \pm 9 }{-0.4}

Then the two solutions are:

x = (1 + 9)/-0.4 = -25

x = (1 - 9)/-0.4 = 20

As x is used to represent a speed, the negative solution does not make sense, so we should use the positive one.

x = 20

then the average speed initially is 20 km/h

3 0
2 years ago
Geometry help. abcd is a parallelogram
joja [24]
The first and the 2nd one are correct because x is 21 and y is 49
3 and 4 at wrong
6 0
3 years ago
What is the solution of 2(4x-2) = 4
JulsSmile [24]

Answer:

Step-by-step explanation:

Divide 2 from both sides.

4x-2 = 4

Add 2 to both sides.

4x = 6

x = 1.5

8 0
2 years ago
Read 2 more answers
Solve using a proportion.
Advocard [28]

Answer:

t = 24 yards

Step-by-step explanation:

Since the trapezoids are similar then the ratios of corresponding sides are equal, that is

\frac{t}{c} = \frac{u}{d}

Substitute in given values

\frac{t}{0.4} = \frac{15}{0.25} ( cross- multiply )

0.25t = 6 ( divide both sides by 0.25 )

t = 24

5 0
3 years ago
Other questions:
  • Brett took elevator A from the 6th floor to the lobby, the 0 floor. His nonstop tip took 9 seconds.
    9·1 answer
  • 2.933 expanded form decimals
    13·1 answer
  • Consider the figure. Determine the value of y.​
    8·1 answer
  • What is the value of y?
    6·1 answer
  • Math Prodigy- I know the answer, just trying to get an even number of points.
    6·2 answers
  • The following quadrilateral is a parallelogram.
    5·1 answer
  • You put $200 in a savings account. The account earns 2% simple interest per year.
    14·1 answer
  • 1) Find the general solution to the following differential equation x^3•y’- y = 0
    13·1 answer
  • ANSWER ASAP FOR BRAINLIEST
    13·2 answers
  • 2 oranges and 3 lemons cost 64p 3 oranges and 4 lemons cot 89p whats the cost of an orange?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!