Mx+nx=p solve for x please

Pierre uses 30 grams of chocolate to make

Travka [436]

Pierre can make 3 liters of chocolate sauce from 450 grams of chocolate.

Step-by-step explanation:

Given,

Chocolate used to make 200 ml of chocolate sauce = 30 grams

Ratio of chocolate to milliliters of chocolate sauce = 30:200

Let,

x be the milliliters of sauce made from 450 grams of chocolate

Ratio of chocolate to ml of sauce = x:450

Using proportion;

Ratio of chocolate to ml of sauce:: ratio of chocolate to ml of sauce

$30:200::450:x$

Product of extreme = Product of mean

$30*x=200*450\\30x=90000$

Dividing both sides by 30

$\frac{30x}{30}=\frac{90000}{30}\\x=3000$

450 grams of chocolate will make 3000 milliliters of chocolate sauce.

We will convert this in liters.

1 liter = 1000 ml

3000 ml = $\frac{3000}{1000}$ = 3 liters

Pierre can make 3 liters of chocolate sauce from 450 grams of chocolate.

Keywords: ratio, proportion

Learn more about proportion at:

#LearnwithBrainly

3 0

3 years ago

A customer at a Mexican diner placed an order for 3 burrito bowls which was priced at $x each. He also ordered a plate of corn t

Daniel [21]

Answer:

x=$7

Step-by-step explanation:

The total cost of bill is $32, $11 is from a plate of corn tacos. And there are 3 purchased burrito bowls at a cost of $x each.

$32 (total bill)

-$11 (tacos)

=$21

$21 / 3 (burrito bowls)

=$7

x<em> </em>or the cost of each burrito bowl is $7

5 0

3 years ago

Read 2 more answers

Given the equation y=2x+3, write a second equation that would create an independent consistent linear system

STALIN [3.7K]

Two equations will be called independent if their graphs touch only on one point (they have one solution for the x-value and one solution for the y-value), and two equations will be dependent if they touch at every point (there is an infinite number of solutions).

This definition of independent and dependent equations is shown in the following diagram. Consider that there are two lines, one red line and one blue line:

They are independent if they touch only on one point and dependent if they touch at every point (they are the same line).

In our case, we are asked to write an equation in order to create an independent consistent linear system.

Note: Consistent means that the system has a solution.

First, we graph the given equation:

$y=2x+3$

There are many different equations that will form an independent consistent linear system with this equation.

We are going to choose the following line equation:

$y=-x+1$

Because when we graph this equation next to the previous line:

We can see that they touch at one point, thus there is a solution and the system is independent --> we have created an independent consistent linear system.

Answer:

$y=-x+1$