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
lawyer [7]
2 years ago
5

A baseball bat costs $41. This is $9 more than four times the wholesale cost of the bat.Find the bat's wholesale cost.

Mathematics
2 answers:
Lostsunrise [7]2 years ago
7 0

We can find the bat's wholesale cost by working backwards -

Do $41 - 9 to get $32, then we can divide the 32 by the 4 to get $8.

Therefore, the wholesale cost of the bat is $8.


Happy to help!

Klio2033 [76]2 years ago
5 0

Answer:

The bat's wholesale cost is $8

Step-by-step explanation:

You first have to subtract 9 from 41 as that will be 4 times the wholesale cost, which is $32. Then you have to divide 32 by 4, as we want to get the wholesale cost, not 4 times of the wholesale cost, and this would give us the wholesale cost, which is $8.

You might be interested in
What is the factored form of the polynomial z² − 10z + 25?
qwelly [4]

Answer:

( z - 5 ) ( z - 5 )

Step-by-step explanation:

z² − 10z + 25

= z² − 5z - 5z + 25

= z ( z - 5 ) - 5 ( z - 5 )

= ( z - 5 ) ( z - 5 )

3 0
3 years ago
Find the exact length of the curve. 36y2 = (x2 − 4)3, 5 ≤ x ≤ 9, y ≥ 0
IrinaK [193]
We are looking for the length of a curve, also known as the arc length. Before we get to the formula for arc length, it would help if we re-wrote the equation in y = form.

We are given: 36 y^{2} =( x^{2} -4)^3
We divide by 36 and take the root of both sides to obtain: y = \sqrt{ \frac{( x^{2} -4)^3}{36} }

Note that the square root can be written as an exponent of 1/2 and so we can further simplify the above to obtain: y =  \frac{( x^{2} -4)^{3/2}}{6} }=( \frac{1}{6} )(x^{2} -4)^{3/2}}

Let's leave that for the moment and look at the formula for arc length. The formula is L= \int\limits^c_d {ds} where ds is defined differently for equations in rectangular form (which is what we have), polar form or parametric form.

Rectangular form is an equation using x and y where one variable is defined in terms of the other. We have y in terms of x. For this, we define ds as follows: ds= \sqrt{1+( \frac{dy}{dx})^2 } dx

As a note for a function x in terms of y simply switch each dx in the above to dy and vice versa.

As you can see from the formula we need to find dy/dx and square it. Let's do that now.

We can use the chain rule: bring down the 3/2, keep the parenthesis, raise it to the 3/2 - 1 and then take the derivative of what's inside (here x^2-4). More formally, we can let u=x^{2} -4 and then consider the derivative of u^{3/2}du. Either way, we obtain,

\frac{dy}{dx}=( \frac{1}{6})( x^{2} -4)^{1/2}(2x)=( \frac{x}{2})( x^{2} -4)^{1/2}

Looking at the formula for ds you see that dy/dx is squared so let's square the dy/dx we just found.
( \frac{dy}{dx}^2)=( \frac{x^2}{4})( x^{2} -4)= \frac{x^4-4 x^{2} }{4}

This means that in our case:
ds= \sqrt{1+\frac{x^4-4 x^{2} }{4}} dx
ds= \sqrt{\frac{4}{4}+\frac{x^4-4 x^{2} }{4}} dx
ds= \sqrt{\frac{x^4-4 x^{2}+4 }{4}} dx
ds= \sqrt{\frac{( x^{2} -2)^2 }{4}} dx
ds=  \frac{x^2-2}{2}dx =( \frac{1}{2} x^{2} -1)dx

Recall, the formula for arc length: L= \int\limits^c_d {ds}
Here, the limits of integration are given by 5 and 9 from the initial problem (the values of x over which we are computing the length of the curve). Putting it all together we have:

L= \int\limits^9_5 { \frac{1}{2} x^{2} -1 } \, dx = (\frac{1}{2}) ( \frac{x^3}{3}) -x evaluated from 9 to 5 (I cannot seem to get the notation here but usually it is a straight line with the 9 up top and the 5 on the bottom -- just like the integral with the 9 and 5 but a straight line instead). This means we plug 9 into the expression and from that subtract what we get when we plug 5 into the expression.

That is, [(\frac{1}{2}) ( \frac{9^3}{3}) -9]-([(\frac{1}{2}) ( \frac{5^3}{3}) -5]=( \frac{9^3}{6}-9)-( \frac{5^3}{6}-5})=\frac{290}{3}


8 0
3 years ago
33 more than the product of 7 and a number x is less than 26.
iogann1982 [59]
7x +33 < 26 isolate the term with a variable by subtracting 33
7x < -7 divide by 7
x < -1
6 0
3 years ago
Refer to the two statements below. Which pair of words will make the statements true?
atroni [7]
They will be greater for both of these answers because 5 is a larger number than -2 and -2 is a larger number than -5 and it comes before -5 on the number line
5 0
3 years ago
4. (03.03 HC)
Kitty [74]

Answer:

A. yes, the data represents a function because u have no repeating x values. A function cannot have repeating x values...they can have repeating y values, just not the x ones

Step-by-step explanation:

B. table : (8,8)(12,12)(14,16)(16,16)

               look at ur points...when x = 8, y = 8...so the table, when x = 8 has a

               value of 8

relation : f(x) = 8x - 5....when x = 8

             f(8) = 8(8) - 5

             f(8) = 64 - 5

             f(8) = 59....and the relation has a value of 59

Therefore, the relation has a greater value when x = 8 <==

C. f(x) = 8x - 5...when f(x) = 19

    19 = 8x - 5

     19 + 5 = 8x

    24 = 8x

    24/8 = x

    3 = x <==

7 0
3 years ago
Other questions:
  • Solve for k.<br>10/3=k/9​
    5·2 answers
  • (1-4x+y)(-3) distributive property you have to remove the parentheses
    12·1 answer
  • What is the percent for $5 off $886.20?
    7·1 answer
  • Suppose a basketball player has made 390 out of 434 free throws. If the player makes the next 2 free throws, I will pay you $40.
    13·1 answer
  • An integer from 100 through 999, inclusive, is to be chosen at random. What is the probability that the number chosen will have
    15·1 answer
  • Vanilla: 36 Chocolate: 26 Strawberry: 18 <br><br> What percent of customers chose Vanilla ice cream?
    9·2 answers
  • If m equals x plus 4 squared and x equals -1 then m equals what​
    15·1 answer
  • What is 76 plus one equals
    12·2 answers
  • What is the difference? complete the equation -30 - (-10) =
    14·2 answers
  • How is the image related to the question and answer then explain correct answer will be brainiest make sure to state the reason
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!