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kifflom [539]
3 years ago
7

I POSTED THIS QUESTION THREE TIMES IF YOU ANSWER THIS (CORRECTLY) GO ANSWER MY OTHER QUESTIONS JUST TO GET THE POINTS YOU DONT H

AVE TO ACTUALLY ANSWER THEM IF YOUR ANSWERS NOT GOOD PLZ DONT BOTHER
A machine in a shoe factory produces shoelaces. The number of shoelaces it produces is proportional to the time. It can produce twelve shoelaces in three minutes. Write an equation to represent this proportional relationship. In your answer, make sure to define the variables you used.
Mathematics
2 answers:
Tresset [83]3 years ago
8 0

Answer: y = 4x (y = shoelaces & x = minutes)

Step-by-step explanation: We know that 12 shoelaces are produced in 3 minutes and that the ratio of shoelaces produced to minutes spent is proportional. We can figure out, therefore, that if you multiply the number of minutes by 4, you will get the number of shoelaces. As an equation, this would be y = 4x (y = shoelaces & x = minutes).

Good Luck!

Charra [1.4K]3 years ago
6 0

Answer:

12/3=4

Y= Time and X=The number of shoelaces

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Please help me with this​
Tatiana [17]
<h2><u>Given</u> :</h2>

The given equations are :

\longrightarrow15b + 10g = 8640 \:  \:  \:  \:  \:   - (1)

\longrightarrow b + g = 708 \:  \:  \:  \:  \:  \:  - (2)

Let's solve for g in equation (2) :

\longrightarrow b + g = 708

\longrightarrow g = 708 - b \:  \:  \:  \:  \:  - (3)

now, let's plug value of g from equation (3) into equation (1) :

\longrightarrow15b + 10g = 8640

\longrightarrow15b + 10(708 - b) = 8640

\longrightarrow15b - 10b + 7080 = 8640

\longrightarrow5b = 1560

\longrightarrow b = 312

plugging value of b in equation (3) :

\longrightarrow g = 708 - b

\longrightarrow g = 708 - 312

\longrightarrow g =39 6

since " g " represents ground seats, number of ground seats :

=》396

And " b " represents balcony seat, therefore it is equal to :

=》312

\mathrm{ ☠ \: TeeNForeveR \:☠ }

4 0
3 years ago
Coleman uses his graphing calculator to find all of the solutions to the equation shown below.
Phoenix [80]

Answer:

The correct option is;

D. x = -1.38 and 0.82

Please find attached the combined function chart

Step-by-step explanation:

The given equation is x³ + 3 = -x⁴ + 4

Plotting the equation using Excel, we have;

f(x) = x³ + 3, h(x) = -x⁴ + 4

x                                             f(x)                                       h(x)

-1.4                                         0.256                                   0.1584

-1.39                                       0.314381                              0.26699

-1.38                                       0.371928                             0.373261

-1.37                                       0.428647                             0.477246

-1.36                                       0.484544                             0.57898

Which shows an intersection at the point around -1.38

x                                          f(x)                                     h(x)

0.77                                    3.456533                         3.64847

0.78                                    3.474552                         3.629849

0.79                                    3.493039                          3.610499

0.8                                         3.512                                3.5904

0.81                                      3.531441                           3.569533

0.82                                       3.551368                          3.547878

0.83                                       3.571787                            3.525417

Which shows the intersection point around 0.82

Therefore, the correct option is x = -1.38 and 0.82

From the graphing calculator the intersection point is given as

x = -1.3802775691 and 0.81917251339.

8 0
2 years ago
1. Write the form of the partial fraction decomposition of the rational expression. Do not solve for the constants.
german

Answer:

Step-by-step explanation:

1.

To write the form of the partial fraction decomposition of the rational expression:

We have:

\mathbf{\dfrac{8x-4}{x(x^2+1)^2}= \dfrac{A}{x}+\dfrac{Bx+C}{x^2+1}+\dfrac{Dx+E}{(x^2+1)^2}}

2.

Using partial fraction decomposition to find the definite integral of:

\dfrac{2x^3-16x^2-39x+20}{x^2-8x-20}dx

By using the long division method; we have:

x^2-8x-20 | \dfrac{2x}{2x^3-16x^2-39x+20 }

                  - 2x^3 -16x^2-40x

                 <u>                                         </u>

                                            x+ 20

So;

\dfrac{2x^3-16x^2-39x+20}{x^2-8x-20}= 2x+\dfrac{x+20}{x^2-8x-20}

By using partial fraction decomposition:

\dfrac{x+20}{(x-10)(x+2)}= \dfrac{A}{x-10}+\dfrac{B}{x+2}

                         = \dfrac{A(x+2)+B(x-10)}{(x-10)(x+2)}

x + 20 = A(x + 2) + B(x - 10)

x + 20 = (A + B)x + (2A - 10B)

Now;  we have to relate like terms on both sides; we have:

A + B = 1   ;   2A - 10 B = 20

By solvong the expressions above; we have:

A = \dfrac{5}{2}     B =  \dfrac{3}{2}

Now;

\dfrac{x+20}{(x-10)(x+2)} = \dfrac{5}{2(x-10)} + \dfrac{3}{2(x+2)}

Thus;

\dfrac{2x^3-16x^2-39x+20}{x^2-8x-20}= 2x + \dfrac{5}{2(x-10)}+ \dfrac{3}{2(x+2)}

Now; the integral is:

\int \dfrac{2x^3-16x^2-39x+20}{x^2-8x-20} \ dx =  \int \begin {bmatrix} 2x + \dfrac{5}{2(x-10)}+ \dfrac{3}{2(x+2)} \end {bmatrix} \ dx

\mathbf{\int \dfrac{2x^3-16x^2-39x+20}{x^2-8x-20} \ dx =  x^2 + \dfrac{5}{2}In | x-10|\dfrac{3}{2} In |x+2|+C}

3. Due to the fact that the maximum words this text box can contain are 5000 words, we decided to write the solution for question 3 and upload it in an image format.

Please check to the attached image below for the solution to question number 3.

4 0
2 years ago
How can you use estimation to find
KATRIN_1 [288]
Well you can add to find out that 9 x 5 = 45 and 1/2 x 5 = 2 1/2 so the correct answer is 47 1/2 to estimate it just do 9 x 5 = 45 Hope this helps! :D
4 0
3 years ago
Read 2 more answers
Eight computers are on a network, and each computer is linked to every other computer. How many such connections are there in to
MrRissso [65]
Hope this helps but I think the answer is 3 connections. But I am not sure.Here is how I got my answer since they said every other computer has a connection then it should be that 1 and 3,3and 5,and 5 and 7 have a connection.That is 3 connections in total.
3 0
3 years ago
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