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3 years ago

The value of y varies jointly with the values of x and z When x = 4 and z = 10, the value of y is 360.

Mathematics

1 answer:

Igoryamba3 years ago

3 0

Answer:

Step-by-step explanation:

Joint variation is given by:

$y=kxz$

Where k is some constant.

We are given that y = 360 when x = 4 and z = 10. Therefore:

$360=k(4)(10)$

Solving for k:

$40k=360\Rightarrow k=9$

Therefore, our equation is:

$y=9xz$

Then when x = 5 and z = 12:

$y=9(5)(12)=540$

The answer is A.

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4. What is the system of equations that describes the following graph?

GarryVolchara [31]

Answer:

The system of inequalities is

$y$

$y>0.25x$

Step-by-step explanation:

step 1

Find the equation of the dashed line with negative slope

The line passes through the points

(0,-2) and (-2,0)

Find the slope

$m=(0+2)/(-2-0)=-1$

Find the equation of the line in slope intercept form

$y=mx+b$

we have

$m=-1\\b=-2$

substitute

$y=-x-2$

The solution of the inequality is the shaded area below the dashed line

therefore

The equation of the inequality A is

$y$

step 2

Find the equation of the dashed line with positive slope

The line passes through the points

(0,0) and (4,1)

Find the slope

$m=(1-0)/(4-0)=0.25$

Find the equation of the line (direct variation)

$y=kx$

we have

$k=0.25$

substitute

$y=0.25x$

The solution of the inequality is the shaded area above the dashed line

therefore

The equation of the inequality B is

$y>0.25x$

therefore

The system of inequalities is

$y$

$y>0.25x$

4 0

3 years ago

What is the greatest common factor of 3 and 27?

Drupady [299]

Answer:

Step-by-step explanation:

because 3 is the only number that goes into both 3 and 27

8 0

3 years ago

Read 2 more answers

You are saving to buy a new phone you have $150 in your bank account and can save $55 each week assuming you don’t spend any mon

FromTheMoon [43]

Answer:

150+55w

Step-by-step explanation:

150+55w

150 never changes

(55)(w), 55 changes depending on number of weeks

8 0

3 years ago

Read 2 more answers

Find the value of Z please help

JulijaS [17]

I think it is 1 because it is smaller than 1.5 so it would have to be 1

4 0

3 years ago

A company provided the following data: Selling price per unit: 60 Variable cost per unit 20 Total fixed costs 400,000 HOw many u

EastWind [94]

Answer:

The company needs to sell 9000 units in order to turn a profit of $40,000

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.

From the question we can get some important hints before creating our formula. First the Selling Price will be profit so it will be a positive number, but both unit cost and fixed costs are losses so they will be negative values in our formula. Also our formula will depend on the amount sold which we can represent as the variable x. With these hints we can create our formula as the following

$(60x-20x)-400,000 = y$

Where:

x is the amount of units created and sold
y is the total profit after selling x-units

Now that we have our formula the question asks how many units need to be sold in order to earn a profit of $40,000. We can calculate this by replacing the $40,000 with y and solving for x like so,

$(60x-20x)-400,000 = 40,000$ .... add 400,000 on both sides

$40x= 360,000$ ... divide both sides by 40

$x= 9000$

The company needs to sell 9000 units in order to turn a profit of $40,000

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

5 0

3 years ago