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
Nana76 [90]
3 years ago
14

Meryl spends a total of 68.82 dollars for 2 pairs of sneakers with the same cost. The sales tax is 5.32 dollars.Meryl also uses

a coupon for 3.00 dollars off her purchase. How much does each pair of sneaker cost
Mathematics
1 answer:
Sveta_85 [38]3 years ago
3 0

Answer:

  $33.25

Step-by-step explanation:

If s represents the cost of one pair of sneakers, two pair have a total cost of ...

  2s - 3.00 + 5.32 = 68.82

  2s = 66.50 . . . . . . . . . . . . . . . subtract 2.32

  s = 33.25 . . . . . . . . . . . . . . . . .divide by 2

Each pair of sneakers costs $33.25.

You might be interested in
Help!!! I don’t know what to do
Eduardwww [97]

Answer: the answer is axis of 3

Step-by-step explanation:

3 0
2 years ago
Ples help me find slant assemtotes
FrozenT [24]
A polynomial asymptote is a function p(x) such that

\displaystyle\lim_{x\to\pm\infty}(f(x)-p(x))=0

(y+1)^2=4xy\implies y(x)=2x-1\pm2\sqrt{x^2-x}

Since this equation defines a hyperbola, we expect the asymptotes to be lines of the form p(x)=ax+b.

Ignore the negative root (we don't need it). If y=2x-1+2\sqrt{x^2-x}, then we want to find constants a,b such that

\displaystyle\lim_{x\to\infty}(2x-1+2\sqrt{x^2-x}-ax-b)=0

We have

\sqrt{x^2-x}=\sqrt{x^2}\sqrt{1-\dfrac1x}
\sqrt{x^2-x}=|x|\sqrt{1-\dfrac1x}
\sqrt{x^2-x}=x\sqrt{1-\dfrac1x}

since x\to\infty forces us to have x>0. And as x\to\infty, the \dfrac1x term is "negligible", so really \sqrt{x^2-x}\approx x. We can then treat the limand like

2x-1+2x-ax-b=(4-a)x-(b+1)

which tells us that we would choose a=4. You might be tempted to think b=-1, but that won't be right, and that has to do with how we wrote off the "negligible" term. To find the actual value of b, we have to solve for it in the following limit.

\displaystyle\lim_{x\to\infty}(2x-1+2\sqrt{x^2-x}-4x-b)=0

\displaystyle\lim_{x\to\infty}(\sqrt{x^2-x}-x)=\frac{b+1}2

We write

(\sqrt{x^2-x}-x)\cdot\dfrac{\sqrt{x^2-x}+x}{\sqrt{x^2-x}+x}=\dfrac{(x^2-x)-x^2}{\sqrt{x^2-x}+x}=-\dfrac x{x\sqrt{1-\frac1x}+x}=-\dfrac1{\sqrt{1-\frac1x}+1}

Now as x\to\infty, we see this expression approaching -\dfrac12, so that

-\dfrac12=\dfrac{b+1}2\implies b=-2

So one asymptote of the hyperbola is the line y=4x-2.

The other asymptote is obtained similarly by examining the limit as x\to-\infty.

\displaystyle\lim_{x\to-\infty}(2x-1+2\sqrt{x^2-x}-ax-b)=0

\displaystyle\lim_{x\to-\infty}(2x-2x\sqrt{1-\frac1x}-ax-(b+1))=0

Reduce the "negligible" term to get

\displaystyle\lim_{x\to-\infty}(-ax-(b+1))=0

Now we take a=0, and again we're careful to not pick b=-1.

\displaystyle\lim_{x\to-\infty}(2x-1+2\sqrt{x^2-x}-b)=0

\displaystyle\lim_{x\to-\infty}(x+\sqrt{x^2-x})=\frac{b+1}2

(x+\sqrt{x^2-x})\cdot\dfrac{x-\sqrt{x^2-x}}{x-\sqrt{x^2-x}}=\dfrac{x^2-(x^2-x)}{x-\sqrt{x^2-x}}=\dfrac
 x{x-(-x)\sqrt{1-\frac1x}}=\dfrac1{1+\sqrt{1-\frac1x}}

This time the limit is \dfrac12, so

\dfrac12=\dfrac{b+1}2\implies b=0

which means the other asymptote is the line y=0.
4 0
3 years ago
Another equation for 32x - 12.8
Law Incorporation [45]
You can use a calculator and put is where I’d can tell you the answer
8 0
3 years ago
Factorize :- <br>3( a - b )² - 10( a - b) +8<br>( Plzzz show in detail )​
IgorC [24]

Step-by-step explanation:

the answer in the picture that i sent

6 0
2 years ago
Read 2 more answers
What is the distance from X to Y?
Rama09 [41]

Answer:

Step-by-step explanation:

To find the distance between two points, (A, B) and (C, D), you can use the following distance formula:

distance = \sqrt{(A - C)^{2} + (B - D)^{2}}

Plugging in the points from the problem, you'll get the following:

\sqrt{(0 - 9)^{2} + (6 - (-6))^{2}}

\sqrt{(-9)^{2} + (12)^{2}}

\sqrt{81 + 144}

\sqrt{225}

15

3 0
3 years ago
Read 2 more answers
Other questions:
  • At Michael’s smoothie shop smoothies cost $3.50 during the week and $4.00 on weekends. If Jonathan bought a smoothie every day e
    14·1 answer
  • If you multiply two even numbers where the product be even or odd explain with an example
    5·1 answer
  • What is x? I am no good at math and am trying to help a friend.
    11·1 answer
  • Can someone please help me, I don't understand
    15·1 answer
  • Investing $12,000 in a savings account at 6% annual interest compounded monthly will result in approximately how much money afte
    5·1 answer
  • A figure formed by two rays that have the same endpoint
    6·1 answer
  • Find the sum: (n + 7) + (n - 14)
    10·1 answer
  • 1. The temperature was -8°F and rose by 2°F. What is the new temperature? Expression:​
    6·1 answer
  • Determine the slope given the two points. (-19,4) (17,11) PLEASE SHOW WORK
    11·1 answer
  • What is the area of the shaded sector of the circle?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!