Follow the process of completing the square to solve x2

One canned juice drink is 15% orange juice; another is 10% orange juice. How many liters of each should be mixed together in

Vaselesa [24]

Answer:

3 liters of 15% and 2 liters of 10%

Step-by-step explanation:

You can set up a table that says the number of liters multiplied by the percent juice equals total percent of juice in L liters:

L * % juice = %L

That is the main set up for the table. We will put in values for the percent juice right away, because they were given to us. Remember that percentages need to be expressed as decimals in order to use them in equations.

L * % juice = %L

15% .15

10% .10

___________________________________

13% .13

Easy enough so far. We know that the 15% juice canned juice contains 15% juice. No secrets there at all. We also made a row for the mixture that needs to be 13% juice. Next we know that the total amount of the mixture has to be 5 liters. If we mix one juice with another and the total has to be 5 liters, then we have an unknown amount of one juice, and 5 - that unknown amount of the other juice. Filling in we have:

L * % juice = %L

15% x .15

10% 5 - x .10

______________________________

13% 5 .13

Our equation tells us that we have to multiply the L times the % to fill in that last column:

L * % juice = %L

15% x * .15 = .15x

10% 5-x * .10 = .10(5 - x)

__________________________________

13% 5 * .13 = .65

We are told from the problem we are adding the 2 juices to get the mixture, so we will add the rows in the last column and set it equal to .65:

.15x + .10(5 - x) = .65

Let's multiply everything by 100 to get rid of all those decimals:

15x + 10(5 - x) = 65

Distributing and combining like terms:

15x + 50 - 10x = 65 and

5x = 15

x = 3

That means that we need 3 liters of the canned juice that is 15% juice.

5 - 3 = 2...and 2 liters of the canned juice that is 10% juice to get the correct number of liters of 13% juice.

6 0

3 years ago

Which of the following is most likely the next step in the series?

lilavasa [31]

Answer:

B

Step-by-step explanation:

Hi there!

TL;DR: Observe the vertices of the shapes inside the circles and their relationship with the circle.

For the first figure, the rectangle has 4 vertices and there are 4 dots on the perimeter of the circle.

For the second figure, the triangle has 3 vertices and there are 3 dots on the perimeter of the circle.

For the third figure, the line has 2 points and there are 2 dots on the perimeter of the circle.

For the fourth figure, there would most likely be only one dot on the perimeter of the circle (4, 3, 2, 1). The only option that shows this is B.

I hope this helps!

3 0

3 years ago

Helpppp meeeee plssss

Diano4ka-milaya [45]

DONT open file it’s a scam and tracker please don’t open it

3 0

3 years ago

3. *

vlabodo [156]

Answer:

it is B 2 real solutions

3 0

2 years ago

PLEASE HELP ME!

Ganezh [65]

42.8% players practised more than one time a week

Step-by-step explanation:

Total no of players practising = 7

Players who practice more than once a week= 3

(According to graph player no 1,3 and 5 played more than once in a week)

To find the percentage of the players who practised more than one time a week

The formula used is:

percentage of players practising more than one time a week= ( no of player playing more than once / total no of players ) x 100%

Putting values in the formula

percentage of players playing more than one time a week= $3/7x100%$ %

= $0.428x100%$ %

= 42.8%

So, 42.8% players practised more than one time a week

Keywords: Calculation of percentage

Learn more about calculation of percentage at

#learnwithBrainly

5 0

3 years ago

Follow the process of completing the square to solve x2 - 10x + 8 = 0.