MATHEMATICS HIGH SCHOOL

Solve 24x + 2y = 48 for y.

Answers

Answer 1

Answer:

Answer:

y = 24 - 12x

Step-by-step explanation:

24x + 2y = 48

Get 2y by itself and subtract 24 x on both sides.

24x + 2y = 48

-24x -24x

2y = 48 - 24x

To have y all by itself, divide by 2 on both sides.

2y = 48 - 24x

/2 /2

(You have to divide 2 by everything on the other side so...)

y = 24 - 12x

Hopefully this helped you out...have a great day c:

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An atom of gold has a mass of 3.271×10^-22 grams. how many atoms are in 5.00g of gold

Answers

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112 oz= how many pounds are in 112 ounces

Answers

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Hope this helps!

How much orange juice at 42¢ a liter should be mixed with grapefruit juice worth 32¢ a liter to make 200 liters of a mixture worth 36¢ a liter?If x represents the amount of orange juice used, then which of the following expressions represents the total cost of the grapefruit juice used?

0.32x
0.32(200 - x)
0.32(x + 200)

Answers

Answer: Second option is correct.

Step-by-step explanation:

Since we have given that

Cost of grapefruit per liter = 32

Cost of orange juice per liter= 42

Total quantity of mixture = 200 liters

Let the quantity of orange juice be x

So, the quantity of grapefruit juice be 200-x

So, the total cost of the grapefruit juice used will be

$0.32(200-x)$

According to question,

$0.32(200-x)+0.42x=200* 0.36\n\n64-0.32x+0.42x=72\n\n0.42x-0.32x=72-64\n\n0.1x=8\n\nx=80\n\n\text{ So, the amount of grapefruit juice will be }=200-80=120$

Hence, Second option is correct.

X = the amount of orange juice that still has to be mixed

If it says that the total of the juice will be 200 liters, then (200-x) = the amount of grapefruit juice that still needs to be mixed.

The grapefruit juice amount would be: 200 - 80 = 120 liters

Ax+by=c, how would I solve for y

Answers

Solving for y means trying to get the equation into the form y= _____. So, let's say that we are going to keep the y value on the left side of the equation.

First, we would subtract ax from both sides. This results in the equation by=c-ax.

Next, we figure out that y has a coefficient of b. They are combined together by multiplication, so to undo this operation, we need to divide both sides by b.

If done correctly, your final answer should be $(c-ax)/(b)$ . Or, y=c-ax/b

Factor this please: x^4-9x^2+20

Answers

Your answer is (x+2)(x-2)(x^2-5)

x = ± √5 = ± 2.2361 x = 2 x = -2

HEEEEEELLLLLLLPPPPPP MMMMMMMMMMEEEEEEEEE Two lines, A and B, are represented by equations given below: Line A: y = x − 2 Line B: y = 3x + 4 Which of the following shows the solution to the system of equations and explains why? (−3, −5), because the point does not lie on any axis (−3, −5), because the point satisfies both equations (−4, −8), because the point satisfies one of the equations (−4, −8), because the point lies between the two axes

Answers

Answer:

(-3,-5) because the point satisfies both equations.

Step-by-step explanation:

We are given that two lines A and B

Line A: $y=x-2$

Line B: $y=3x+4$

We have to find the solution of the given system of equation and explain .

Using elimination method

Eliminate y by subtracting equation first from equation second then, we get

$2x+6=0$

$2x=-6$

$x=(-6)/(2)=-3$

Substitute x=-3 in equation first

$y=-3-2=-5$

Hence, the solution of given system of equation is (-3,-5).

Substitute x=-3 and y=-5 in first equation then , we get

$-5=-3-2=-5$

LHS=RHS

Hence, (-3,-5) satisfies the the equation.

Substitute x=-3 and y=-5 in second equation

Then, we get

$-5=3(-3)+4=-5$

LHS=RHS

Hence, (-3,-5) satisfies the equation.

Hence, (-3,-5) is the solution of the system of equations because the point satisfies both equations.

Answer:(-3,-5) because the point satisfies both equations.

It sounds like you've already let this problem get ahold of you and start
squeezing the air out of you. So first, I want you to take a deep, cleansing
breath, let it out slowly, and then try to think:

Before you get all involved and flustered, what is the solution to a system
of equations ? What does "solution" even mean ? You can't find a solution
unless you know what one looks like, so you recognize it when you see it.

The "solution" to one equation is the number that makes the equation true
when you write the number in place of the variable. There can be more than
one solution, and there may be no solution at all. It depends on the equation.

The "solution" to a system of equations is a set of numbers, that makes all of
the equations true when you write the numbers in place of all the variables in
them.

A good way to think about the solution to a system of equations is to imagine
that you draw the graph of each equation, and look for a place where the lines
cross. That point is a solution of the system of equations, because it's a point
that's on the graph of both equations. The (x, y) numbers for that point make
both equations true when you write them in place of 'x' and 'y' in each equation.

Now look at the choices you have for an answer to this question. You haven't
numbered or lettered the choices, so it's hard to tell you which one it is. But
you should have no trouble finding the right choice, because there's only one
of them up there that says anything about satisfying both equations.

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