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
loris [4]
3 years ago
15

Kim uses decals to decorate 5 cars and 2 motorbikes. She uses 2/3 of the decals on the cars and 2/5 of the remaining on the moto

rbikes. She has 6 decals left. How many decals does Kim use on each car?​
Mathematics
1 answer:
stiks02 [169]3 years ago
4 0

Answer:

I decal per car and motor bike

Step-by-step explanation:

You might be interested in
Integral of 17/(x^3-125)
daser333 [38]

Answer:

17/75 ln│x − 5│− 17/150 ln(x² + 5x + 25) − 17/(5√75) tan⁻¹((2x + 5) / √75) + C

Step-by-step explanation:

∫ 17 / (x³ − 125) dx

= 17 ∫ 1 / (x³ − 125) dx

= 17 ∫ 1 / ((x − 5) (x² + 5x + 25)) dx

Use partial fraction decomposition:

= 17 ∫ [ A / (x − 5) + (Bx + C) / (x² + 5x + 25) ] dx

Use common denominator to find the missing coefficients.

A (x² + 5x + 25) + (Bx + C) (x − 5) = 1

Ax² + 5Ax + 25A + Bx² − 5Bx + Cx − 5C = 1

(A + B) x² + (5A − 5B + C) x + 25A − 5C = 1

Match the coefficients and solve the system of equations.

A + B = 0

5A − 5B + C = 0

25A − 5C = 1

A = 1/75

B = -1/75

C = -2/15

So the integral is:

= 17 ∫ [ 1/75 / (x − 5) + (-1/75 x − 2/15) / (x² + 5x + 25) ] dx

Simplify:

= 17/75 ∫ [ 1 / (x − 5) − (x + 10) / (x² + 5x + 25) ] dx

Factor ½ from the numerator of the second fraction:

= 17/75 ∫ [ 1 / (x − 5) − ½ (2x + 20) / (x² + 5x + 25) ] dx

Split the fraction:

= 17/75 ∫ [ 1 / (x − 5) − ½ (2x + 5) / (x² + 5x + 25) − ½ (15) / (x² + 5x + 25) ] dx

Multiply the last fraction by 4/4:

= 17/75 ∫ [ 1 / (x − 5) − ½ (2x + 5) / (x² + 5x + 25) − 30 / (4x² + 20x + 100) ] dx

Complete the square:

= 17/75 ∫ [ 1 / (x − 5) − ½ (2x + 5) / (x² + 5x + 25) − 15 / ((2x + 5)² + 75) ] dx

Split the integral:

= 17/75 ∫ 1 / (x − 5) dx − 17/150 ∫ (2x + 5) / (x² + 5x + 25) dx − 17/5 ∫ 1 / ((2x + 5)² + 75) dx

The first integral is:

∫ 1 / (x − 5) dx = ln│x − 5│

The second integral is:

∫ (2x + 5) / (x² + 5x + 25) dx = ln(x² + 5x + 25)

The third integral is:

∫ 1 / ((2x + 5)² + 75) dx = 1/√75 tan⁻¹((2x + 5) / √75)

Plug in:

= 17/75 ln│x − 5│− 17/150 ln(x² + 5x + 25) − 17/(5√75) tan⁻¹((2x + 5) / √75) + C

4 0
3 years ago
The melting point of substance X is -20 degrees Celsius and the boiling point is 90 degrees Celsius. How many Celsius degrees ar
Kazeer [188]
To find the distance between 2 numbers you must take the absolute value of the difference

|90-(-20)|
|110|
110

110 degrees celsius 
3 0
3 years ago
Read 2 more answers
34(5f−3)=38 How do i find the value of f?
Oduvanchick [21]

f=14/17 or 0.82352941

8 0
3 years ago
Read 2 more answers
Table 1<br> Table 2<br> Table 3<br> Table 4. Please help fast
Natasha2012 [34]
Table 2 heheheheheehehehehheheheheehheheheheheheheehehehehhehehehehhehehehehehe
6 0
3 years ago
Write an inequality for the following.<br> Jackie spent no more than $40 on a video
ANEK [815]

Answer:

x ≥ $40

Step-by-step explanation:

Jackie didn't spend more than $40 on a video.

x ≥ $40

7 0
3 years ago
Other questions:
  • What is the average rate of change of f(x) = −2x + 1 from x = −5 to x = 1?
    12·1 answer
  • Stock market question ASAP
    5·1 answer
  • How do you find the area of this
    13·1 answer
  • You begin a hike in Death Valley, California, at an elevation of -86 meters. You hike to a point of elevation at 45 meters. What
    13·1 answer
  • There are 250 vehicle's at the dealership and 75 of them are SUV's. What percent of the vehicle's are SUV's?
    8·2 answers
  • You toss a rock of mass m vertically upward. Air resistance can be neglected. The rock reaches a maximum height h above your han
    5·2 answers
  • Which of the following are the most likely factors of the function graphed above?
    15·1 answer
  • Round 43.7575 to the nearest thousandth. a) 43.700 b) 43.758 c) 43.750 d) 43.757
    12·1 answer
  • If $5000 is invested at a rate of 3% interest
    13·1 answer
  • A photograph is 3 in. longer than it is wide. When a 2-in. border is placed around the photograph, the total area of the photogr
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!