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
Alchen [17]
2 years ago
6

The ratio of the number of pears to the number of apples in the basket was 3 : 5 After Sean ate 2 apples, there were still 2 mor

e apples than pears. How many pears were there in the basket?
Mathematics
1 answer:
Veseljchak [2.6K]2 years ago
8 0

Answer:

 6 pears

Step-by-step explanation:

The difference in the number of ratio units is 5-3 = 2. This corresponds to an original difference of 2+2 = 4, so each ratio unit represents 2 pieces of fruit.

The original ratio is ...

  6 pears : 10 apples

There were 6 pears in the basket.

You might be interested in
For the composite function, identify an inside function and an outside function and write the derivative with respect to x of th
alexira [117]

Answer:

The inner function is h(x)=4x^2 + 8 and the outer function is g(x)=3x^5.

The derivative of the function is \frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=120x\left(4x^2+8\right)^4.

Step-by-step explanation:

A composite function can be written as g(h(x)), where h and g are basic functions.

For the function f(x)=3(4x^2+8)^5.

The inner function is the part we evaluate first. Frequently, we can identify the correct expression because it will appear within a grouping symbol one or more times in our composed function.

Here, we have 4x^2+8 inside parentheses. So h(x)=4x^2 + 8 is the inner function and the outer function is g(x)=3x^5.

The chain rule says:

\frac{d}{dx}[f(g(x))]=f'(g(x))g'(x)

It tells us how to differentiate composite functions.

The function f(x)=3(4x^2+8)^5 is the composition, g(h(x)), of

     outside function: g(x)=3x^5

     inside function: h(x)=4x^2 + 8

The derivative of this is computed as

\frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=3\frac{d}{dx}\left(\left(4x^2+8\right)^5\right)\\\\\mathrm{Apply\:the\:chain\:rule}:\quad \frac{df\left(u\right)}{dx}=\frac{df}{du}\cdot \frac{du}{dx}\\f=u^5,\:\:u=\left(4x^2+8\right)\\\\3\frac{d}{du}\left(u^5\right)\frac{d}{dx}\left(4x^2+8\right)\\\\3\cdot \:5\left(4x^2+8\right)^4\cdot \:8x\\\\120x\left(4x^2+8\right)^4

The derivative of the function is \frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=120x\left(4x^2+8\right)^4.

3 0
3 years ago
You have cards with the letters A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P. Event U is choosing the cards A, B, C
Thepotemich [5.8K]

Answer:

If you are asking how many events use P: 1 event is using the letter P (event W)

Step-by-step explanation:

Why event U cannot be using P: This event is only using the letters A, B, C, and D.

Why event V cannot be using P: This event is only using vowels (A, E, I, O, U)

5 0
3 years ago
Find the distance between the points with the given coordinates (-8,-6),(4,10)​
Serggg [28]

Hello from MrBillDoesMath!

Answer:

20

Discussion:

Let (x1,y1) = (-8, -6) and (x2,y2) = (4,10). Per the distance formula,

Distance = sqrt (  (x1-x2)^2 + (y1-y2)^2 )  so

Distance = sqrt (  (-8-4)^2 + (-6-10)^2 )

                = sqrt( (12)^2 + (-16)^2 )

                = sqrt( 144     + 256 )

                = sqrt(400)

                = 20

Thank you,

MrB

3 0
3 years ago
Read 2 more answers
Which number line represents the solution of 5X < 30
Volgvan

Answer:

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Help this is high school mathematics and even though I’m usually good I need a little help it would be nice if you could also pr
Kitty [74]

Step-by-step explanation:

I'm not sure if this correct or not

7 0
3 years ago
Other questions:
  • Please help!
    13·1 answer
  • Solve the equation for x. the square root of the quantity x plus 4 end quantity minus 7 equals 1
    6·1 answer
  • Is 5/8 a rational number?
    8·2 answers
  • Which is enough information to prove that line s is parallel to line t
    6·1 answer
  • Use this triangle.
    6·1 answer
  • PLS HELP, IM DUMB
    11·2 answers
  • 60 - 3d + 20 - 6 = 4d
    15·2 answers
  • Pls help just look at the picture's
    13·1 answer
  • HELP PLEASE! :)
    11·2 answers
  • The lsrl after an exponential transformation is log yhat=.4785 + 1.468x. What is the exponential form of the regression?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!