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
galina1969 [7]
3 years ago
14

A bicycle shop advertised all mountain bikes were priced at 1/4 discount.

Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
8 0
If you are looking for the percent off it would be 25% off and if you were looking for the amount off in decimal form it will be 0.25.
You might be interested in
Write the standard form of the equation for the circle that passes through the points (2,31),(-15,14),(33,0)
stepladder [879]

Answer:

Step-by-step explanation:

Begin with the standard form of a circle as a conic:

Ax^2+Bxy+Cy^2+Dx+Ey+F=0

For a circle, A and C will be the exact same, and B will equal 0.  If B is non-zero, the equation represents a rotation of a conic, which is reserved for college-level courses.  Shortening this, then:

x^2+y^2+Dx+Ey+F=0 is good enough for us for this.  Start with the first point on the circle, (2, 31) and fill in the equation above with x and y:

2^2+31^2+2D+31E+F=0 which simplifies down to:

(1):2D+31E+F=-965

Do the same with the next point on the circle, (-15, 14):

-15^2+14^2-15D+14E+F=0 which simplifies down to:

(2):-15D+14E+F=0

Do the same with the last point, (33, 0):

33^2+0^2+33D+0E+F=0 which simplifies down to:

(3):33D+F=-1089

Now we will add (1) and (2) to get (4):

 2D + 31E + F = -965

-15D + 14E + F = -421

Multiply the top equatio by -1 to get rid of the F terms:

 -2D - 31E - F = 965

-15D + 14E + F = -421

which simplifies to

(4): -17D - 17E = 544

Now add (2) and (3) to get (5):

-15D + 14E + F = -421

33D           + F = -1089

Multiply the bottom equation by -1 to get rid of the F terms:

-15D + 14E + F = -421

-33D          - F = 1089

which simplifies to

(5): -48D + 14E = 668

Now add (4) and (5) together and eliminate the E terms:

-17D - 17E = 544

-48D + 14E = 668

In order to eliminate the E terms, multiply the top equation by 14 and the bottom equation by 17 to solve for D:

-238D - 238E = 7616

-816D + 238E = 11356

Which gives you that

D = -18

Now plug the value for D into (4) to find E:

-17(-18) - 17E = 544 and

306 - 17E = 544 and

-17E = 238 so

E = -14

Now plug the values for both D and E into (1) to find F:

2(-18) + 31(-14) + F = -965 and

-36 - 434 + F = -965 and

-470 + F = -965 so

F = -495

Now we can fill in the standard form of the conic:

x^2+y^2-18x-14y=495

but we're not done til we complete the square on both the x terms and the y terms (and I am assuming you know how to complete the square):

(x^2-18x+81)+(y^2-14y+49)=495+81+49 which simplifies to

(x-9)^2+(y-7)^2=625

The second choice down matches that equation, but the center they have there is not correct.  The center of that circle is (9, 7) and they have it as being (7, 10) with a radius of 5.  The radius is 25.  The center is wrong in the equation that represents the circle as is the radius.  Maybe let someone know that...

4 0
3 years ago
Read 2 more answers
Which of the following is the correct factorization of this trinomial?
coldgirl [10]
The answer is c. Difference of squares
6 0
3 years ago
Read 2 more answers
What is the slope of a line perpendicular to line AB when point A is (3,-4) point B is (-5,1).
Veronika [31]
Slope = (1 + 4) / (-5 -3) = 5/-8 = -5/8

answer
-5/8
5 0
3 years ago
Y=ax with a&gt;1<br><br> im very confused on what to do
Kazeer [188]

Answer:

Step-by-step explanation:

‘a’ in this question is the slope of the line. Slope is (y2-y1)/(x2-x1) for any two points. We can see the line intersects the point (0,0) and (-10/9) so the slope is -10/9 which is less than -1 so

a<-1

4 0
3 years ago
Which ordered pairs make the open sentence true?
Hitman42 [59]

Answer:

-2,1

Step-by-step explanation:

hope it will be helpful for i

8 0
3 years ago
Other questions:
  • The original price is $150 markdown percentage 40%
    5·2 answers
  • 12.
    11·1 answer
  • The outdoor temperature increases by 3 degrees each hour for 4 hours.
    5·1 answer
  • There are 300 students in the middle school, 4 seventh graders are running for class president. Which type of survey below would
    13·1 answer
  • What’s the answer to 14?
    8·1 answer
  • Ok, guys here's the question. PLEASE HELP ME!!
    15·2 answers
  • Question 15(Multiple Choice Worth 1 points)
    15·1 answer
  • 2/4 = 1/2 or 1/3 <br> which is the answer
    13·2 answers
  • Hhiycycucucicuvuvuvu​
    14·2 answers
  • What is the relationship between .001 and 1,000?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!