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3 years ago

A bag of candy

Mathematics

1 answer:

grin007 [14]3 years ago

3 0

There are 12 m&m.
Because there are 6 skittles to every 4 m&m
There are 18 skittles.
So there must be 12 skittles

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A small Business earns a profit of $6500 in January and $17,500 in May. What is the rate of change in profit for this time perio

lukranit [14]

Answer:
Rate of change of profit for this period = $2750 / month

4 0

3 years ago

What is 90 by 25% decreased

viva [34]

Answer:

- 22.5

Step-by-step explanation:

Answer:

90 decreased by 25% = 67.5

Absolute change (actual difference):

67.5 - 90 = - 22.5

8 0

2 years ago

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The sales tax in New Jersey is 6%. For a $16 book, what will the total cost be, including sales tax?

Rasek [7]

The sales tax in New Jersey is 6%. For a $16 book, what will the total cost be, including sales tax?
Solutions:
=> 16 dollars is the amount of book
=> 6% is the sales tax which is equals to (6% / 100% = 0.06)
Let’s follow the formula to get the total amount to be paid.
=> 16 dollars * .06 = .96 dollars
Now, let’s add this together:
=> .96 + 16 dollars = 16.96 dollars.

5 0

3 years ago

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PLS TRY TO ANSWER ASAP.

Harrizon [31]

Answer:

0.075 m/min

Explanation:

You need to use derivatives which is an advanced concept used in calculus.

1. Write the equation for the volume of the cone:

$V=\dfrac{1}{3}\pi r^2h$

2. Find the relation between the radius and the height:

r = diameter/2 = 5m/2 = 2.5m

h = 5.2m

h/r =5.2 / 2.5 = 2.08

3. Filling the tank:

Call y the height of water and x the horizontal distance from the axis of symmetry of the cone to the wall for the surface of water, when the cone is being filled.

The ratio x/y is the same r/h

x/y=r/h

y = x . h / r

The volume of water inside the cone is:

$V=\dfrac{1}{3}\pi x^2y$

$V=\dfrac{1}{3}\pi x^2(2.08)\cdot x\\\\\\V=\dfrac{2.08}{3}\pi x^3$

4. Find the derivative of the volume of water with respect to time:

$\dfrac{dV}{dt}=2.08\pi x^2\dfrac{dx}{dt}$

5. Find x² when the volume of water is 8π m³:

$V=\dfrac{2.08}{3}\pi x^3\\\\\\8\pi=\dfrac{2.08}{3}\pi x^3\\\\\\ 11.53846=x^3\\ \\ \\ x=2.25969\\ \\ \\ x^2=5.1062$ m²

6. Solve for dx/dt:

$1.2m^3/min=2.08\pi(5.1062m^2)\dfrac{dx}{dt}$

$\dfrac{dx}{dt}=0.03596m/min$

7. Find dh/dt:

From y/x = h/r = 2.08:

$y=2.08x\\\\\\\dfrac{dy}{dx}=2.08\dfrac{dx}{dt}\\\\\\\dfrac{dy}{dt}=2.08(0.035964m/min)=0.0748m/min\approx0.075m/min$

That is the rate at which the water level is rising when there is 8π m³ of water.

4 0

3 years ago

Determine the missing side lengths

svetlana [45]

Answer:

Given that is a 45-45 triangle, the hypotenuse should be x $\sqrt{2}$ , so in this case. The hypotenuse should be 3 $\sqrt{2}$ , and the other side lengths 3. I see no other way of it going other than that one; I hope I helped at least a bit!

Step-by-step explanation:

6 0

3 years ago

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