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2 years ago

A school ordered 32 orange shirts, 29 blue shirts, and 34 green shirts. The shirts are being divided equally among 6

Mathematics

2 answers:

Marina86 [1]2 years ago

8 0

Answer:

There will be 5 shirts that were left over

WINSTONCH [101]2 years ago

7 0

Answer:

Step-by-step explanation:

32+29+34= 95 total shirts

95/6=15.8333 round down

If each group get 15 shirts you need 90 shirts (15*6=90)

and so you will have 5 left over (95-90=5)

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Kipish [7]

The third and fourth charts represent functions

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2 years ago

Find the deriative dy/dx for y=x^2-2x/x^3+3

vaieri [72.5K]

Answer:

$\frac{dy}{dx}=(\frac{(2x-2)(x^3+3)-(x^2-2x)(3x^2)}{(x^3+3)^2})$

Step-by-step explanation:

So we want to find the derivative of the rational equation:

$y=\frac{x^2-2x}{x^3+3}$

First, recall the quotient rule:

$(\frac{f}{g})'=\frac{f'g-fg'}{g^2}$

Let f be x^2-2x and let g be x^3+3.

Calculate the derivatives of each:

$f=x^2-2x\\f'=2x-2$

$g=x^3+3\\g=3x^2$

So:

$\frac{dy}{dx}=(\frac{x^2-2x}{x^3+3})'$

Use the above format:

$\frac{dy}{dx}=\frac{f'g-fg'}{g^2}\\\frac{dy}{dx}=(\frac{(2x-2)(x^3+3)-(x^2-2x)(3x^2)}{(x^3+3)^2})$

And that's our answer :)

(If you want to, you can also expand. However, no terms will be canceled.)

8 0

3 years ago

3(x+3) _x +_

SVEN [57.7K]

Those are all the answers hope this helps.

8 0

2 years ago

Read 2 more answers

A bike shop sells only skateboards and bicycles. All skateboards have 4 wheels and all bikes have 2 wheels each. There are 20 ve

ELEN [110]

There are 11 skateboards and 9 bikes.

Set up your equations: 4s+2b=52 and b+s=20
Multiply the 2nd by 2, 2b+2s=40
Subtract the second equation from the first
2s=22
so 11 skateboards and 9 bikes

8 0

2 years ago

A rectangular auditorium seats 1144 people. The number of seats in each row exceeds the number of rows by 18. Find the number of

Andrew [12]

Answer:

44 seats in each row

Problem:

A rectangular auditorium seats 1144 people. The number of seats in each row exceeds the number of rows by 18. Find the number of seats in each row.

Step-by-step explanation:

Let n be the number of rows.

If the number of seats exceed the number of rows by 18, then the number ot seats can be represented by n+18.

So we have a n by n+18 rectangle whose number of seats in all is 1144.

So we need to solve n(n+18)=1144

Distribute: n^2+18n=1144

Subtract 1144 on both sides" n^2+18n-1144=0

What two numbers multiply to be -1144 but also add to be 18?

Hmmm.. let's break -1144 down a little into smaller factors.

-1144=2(-572)=4(-286)=8(-143)=-8(13)(11)=-26(44)

We found a pair of factors that will work? -26 and 44.

So the factorization of our quadratic equation is (n-26)(n+44)=0.

This implies either n-26=0 or n+44=0 .

n=26 by adding 26 on both sides for first equation.

n=-44 by subtracting 44 on both sides for second equation.

n=26 is the only one that works.

This means there are 26 rows and 26+18 seats in each row.

26 rows

44 seats in each row

That product does equal 1144 seats in all.

6 0

2 years ago