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
KIM [24]
3 years ago
15

Kenny had 5/7 more trading cards than lee. After Kenny collected 50% more trading cards, he had 220 more trading cards than lee.

How many trading cards did lee have?
Mathematics
1 answer:
svp [43]3 years ago
6 0

Answer:

Step-by-step explanation:

Let X is the number of cards Kenny has

Let Y is the number of cards Lee has

1. Kenny had 5/7 more trading cards than lee, it means

X = Y + 5/7X (1)

2. After Kenny collected 50% more trading cards, he had 220 more trading cards than lee, it means:

X + 50%X = Y +  220 (2)

So, we solve the 2 equations to find out X and Y

\left \{ {{X=Y + 5/7X} \atop {1.5X=Y +220}} \right.

<=> X = \frac{3080}{17} and Y = \frac{880}{17}

<=> X ≈181 and Y ≈ 52

You might be interested in
For what values of θ on the polar curve r=θ, with 0≤θ≤2π , are the tangent lines horizontal? Vertical?
Bond [772]
Given that r=\theta, then r'=1

The slope of a tangent line in the polar coordinate is given by:

m= \frac{r'\sin\theta+r\cos\theta}{r'\cos\theta-r\sin\theta}

Thus, we have:

m= \frac{\sin\theta+\theta\cos\theta}{\cos\theta-\theta\sin\theta}



Part A:

For horizontal tangent lines, m = 0.

Thus, we have:

\sin\theta+\theta\cos\theta=0 \\  \\ \theta\cos\theta=-\sin\theta \\  \\ \theta=- \frac{\sin\theta}{\cos\theta} =-\tan\theta

Therefore, the <span>values of θ on the polar curve r = θ, with 0 ≤ θ ≤ 2π, such that the tangent lines are horizontal are:

</span><span>θ = 0

</span>θ = <span>2.02875783811043
</span>
θ = <span>4.91318043943488



Part B:

For vertical tangent lines, \frac{1}{m} =0

Thus, we have:

\cos\theta-\theta\sin\theta=0 \\  \\ \Rightarrow\theta\sin\theta=\cos\theta \\  \\ \Rightarrow\theta= \frac{\cos\theta}{\sin\theta} =\sec\theta

</span>Therefore, the <span>values of θ on the polar curve r = θ, with 0 ≤ θ ≤ 2π, such that the tangent lines are vertical are:

</span>θ = <span>4.91718592528713</span>
3 0
3 years ago
What does this mean 31&gt;28
Alona [7]

Answer:

31 is greater than 28

Step-by-step explanation:

That is how you read it: 31 is greater than 28

8 0
3 years ago
Read 2 more answers
A random sample has been taken from a population. A statistician, using this sample, needs to decide whether to construct a 90 p
AURORKA [14]

Answer:

Step-by-step explanation: a confidence interval is a range that shows how precise the measurement is. if a statistician decides to construct using 90 percent C I over a 95% C I, it tells you that you have 10% chance of being wrong rather than 5% chance of being wrong while using the 95%. Also a 90 percent confidence interval would be narrower than a 95 percent confidence interval

5 0
3 years ago
To which subset of real numbers does the number 1/5 belong
Travka [436]
1/5 is an expression that represents 1÷5= .2
Since the return decimal equivalent doesn't go on forever and has a finite end, this is a member of the rational number set.
4 0
3 years ago
A. -7x+5<br> B. -7x-35<br> C. -7x+35<br> D. x-35
liubo4ka [24]

Answer:

B

Step-by-step explanation:

p(x) = r(x) * s(x)

     = (x + 5) *(-7)       {Use distributive property}

    = x * -7 + 5 * -7

    = - 7x - 35

5 0
3 years ago
Read 2 more answers
Other questions:
  • Solve for n.<br><br> 8n-3=9n
    8·2 answers
  • How many tenths greater is the 2 in the thousands place than the 2 in the trnths place in 2,453.29
    15·1 answer
  • ⅜ and 11\12 greater than less than or equal
    11·1 answer
  • What is the area of the triangle
    15·1 answer
  • Dean wonders if all powders dissolve in water. He decides to see what happens with flour, cornstarch, powdered sugar, and baby p
    5·1 answer
  • NEGATIVE INTEGER LESS THAN -5
    6·2 answers
  • In how many days will the inspectors come on the same day
    15·1 answer
  • PLZZZ HELPPPP Assume line q is parallel to line m. Choose from the drop-down menus to solve for m∠6​​
    9·1 answer
  • The circumference of a circle is 37. 68 ft. What is the radius of the circle?.
    7·1 answer
  • Give the side lengths in order from least to greatest. The side lengths are LM, MK, LK.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!