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3 years ago

P=3y/q solve for y make sure to add steps pls

Mathematics

1 answer:

Likurg_2 [28]3 years ago

7 0

Answer:

Solving for y gives:

$y = \frac{pq}{3}$

Step-by-step explanation:

Linear equations are the equations that are degree one equations. When it is asked to solve an equation for a specific variable that means that the specified variable has to be isolated on one side of the equation i.e. in the given question solving for y means isolating y on one side of the equation.

Given equation is:

$p = \frac{3y}{q}$

Multiplication property of equality(Multiplying both sides by q)

$p*q = \frac{3y}{q} * q\\pq = 3y$

Division property of equality(Dividing both sides by 3)

$\frac{pq}{3} = \frac{3y}{3}\\\frac{pq}{3} = y$

Hence,

Solving for y gives:

$y = \frac{pq}{3}$

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slavikrds [6]

Answer:

a) the platform is 110 feet above the ground.

b) It takes 8.69 sec for the rock to hit the ground

Step-by-step explanation:

This situation is modelled by the following function: $f(x) = -5x^2 + 40x + 30\\$

We need to answer the following questions.

a) How high above the ground is the platform?

First we find x using the formula: $x=-\frac{b}{2a}$

we have b = 40 and a = -5

Putting values and finding x

$x=-\frac{b}{2a}\\x=-\frac{40}{2(-5)}\\x=-\frac{40}{-10}\\x=4$

Now putting x=4 in the function to find how high above the ground is the platform

$f(x) = -5x^2 + 40x + 30\\Put\:x=4\\f(4)=-5(4)^2+40(4)+30\\f(4)=-5(16)+160+30\\f(4)=-80+160+30\\f(4)=110$

So, the platform is 110 feet above the ground.

b) How long does it take for the rock to hit the ground? Show all work to receive full credit!

We will factorise the given function $f(x) = -5x^2 + 40x + 30$ to find the time taken to hit the ground.

We can solve the equation using quadratic formula: $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

We have a =-5, b=40, c=30

Putting values and finding x

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-40\pm\sqrt{(40)^2-4(-5)(30)}}{2(-5)}\\x=\frac{-40\pm\sqrt{1600+600}}{-10}\\x=\frac{-40\pm\sqrt{2200}}{-10}\\x=\frac{-40\pm46.9}{-10}\\x=\frac{-40+46.9}{-10},x=\frac{-40-46.9}{-10} \\x=-0.69,x=8.69$

So, we get values of x: x = -0.69 and x=8.69

As time cannot be negative, so we take x=8.69

So, It takes 8.69 sec for the rock to hit the ground

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Sergio has p paintings in his art collectikn. He and other local painting collectits agreed to donate a total of 48 paintings to

Mamont248 [21]

Let

p-------->total paintings that Sergio has in his art collection

step 1

Find the number of paintings that each collectors will donate

Divide the total paintings that the collectors will donate by the number of total collectors

=(48/12)=4 painting

Find the numbers of paintings will sergio have in his art collection after his donation

p-4

therefore

the answer is

(p-4)

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