Bruce has a bottle that contains 60% of lemon juice and the rest water. The bottle has 1 liter of water. PARTA: Write an equation in one variable that can be used to find the total number of liters of lemon juice and water in the bottle. Define the variable used in the equation. (5 points) Part B: How many liters of lemon juice are present in the bottle? Show your work. (5 points)

Answers

Answer 1

Answer: Let x= the total volume of liquid the bottle can hold.
Since 40% of the liquid is water, then .4x = 1L

Then you solve for x.

0.4x=1L
0.4x/0.4 = 1L/0.4
x = 2.5 L

So we have the total volume of the bottle which is 2.5 L.

Now, let the number of liters of lemon juice be y.
y=0.6x
So the equation would be x = 0.4x + y
or simply, x = .4x + .6x

Solve for y.
y= 0.6(2.5L)
y= 1.5L

So the amount of lemon juice in the bottle is 1.5 L.

Answer 2

Answer:

The correct answers are:

2.5 L of liquid total and 1.5 L of lemon juice.

Explanation:

Since the bottle contains 60% lemon juice, this means that 100-60 = 40% of the bottle is water. We know that there is 1 liter of water; this means we have the equation

0.4x = 1, where x is the total amount of liquid in the bottle.

Divide both sides by 0.4:

0.4x/0.4 = 1/0.4

x = 2.5

There are 2.5 L of liquid.

60% of the liquid is lemon juice; this gives us

0.6(2.5) = 1.5

There are 1.5 L of lemon juice.

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Katie made a 1/2 gallon of lemonade. Each glass holds 1/2 a pint, how many glasses can she fill?

Answers

In one gallon, there are four quarts. Each quart holds two pints. Therefore, there are eight pints in a gallon. Because you are only talking about half a gallon, we only need half of eight pints, or four pints. If each glass holds half a pint, and there are four pints, she can fill eight glasses.

Hope this helped!! :))

A fish lays brown eggs or white eggs and it likes to lay them in a certain pattern. Each brown egg is surrounded by 6 white eggs. Here there are 3 brown eggs and 14 white eggs.(a) How many eggs does it lay altogether if it lays 200 brown eggs?
(b) How many eggs does it lay altogether if it lays n brown eggs?

Answers

If it lays 200 browns eggs then it will lay 6 times more white eggs. So itll lay 1200 white eggs

I want to know the answer for the above question.

Binary equivalent of decimal number 170

Answers

( 170 ) decimal = ( 1 0 1 0 1 0 1 0 ) binary That's 128, 32, 8, and 2 . 32 8 2

Hii pls help i’ll give brainliest if you give a correct answer tysm

Answers

Answer:

Equations ; 1, 3 , 5 and 6 are correct

Step-by-step explanation:

From the question, we are told that 2 1/2 feet is 5/8 of the height of the tower to be built

Now, we want to get the equation for the height of the tower

we have this as follows;

since we do not know the height of the tower, we can represent it by ?

a. 5/8 of ? = 2 1/2

b. 2 1/2 divided by ? = 5/8

c. 2 1/2 • 8/5 = ?

d. 2 1/2 divided by 5/8 = ?

Log3 27=3x+6 solve
this please

Answers

$log_327=3x+6\n\nlog_33^3=3x+6\n\n3=3x+6\n\n3x+6=3\ \ \ /-6\n\n3x=-3\ \ \ /:3\n\nx=-1$

$log_327=3x+6\n\nlog_33^3=3x+6\n\n3=3x+6\n\n-3x=6-3\n\n-3x=3\ /:(-3)\n\nx=-1$

I need help with this math question on my study guide!Sadly, I do not remember how to do this and I would greatly appreciate any help you can offer.

Answers

Sadly is right. You must have practiced this stuff in middle school
until it was coming out of your ears. Fortunately, you have a chance
to relearn it now. You should do that ... it'll be important in any math
course you ever take.

'm' is the slope of the line on the graph.

The slope is

      (the change in 'y' between any two points on the line)
divided by
   (the change in 'x' between the same two points).

You can choose any two points on the line, and the slope is always the same.

To make it easy, look at the two points on this graph where the line crosses
the x-axis and the y-axis.

Going between these two points ...
-- the line goes up, from y=0 to y=4. The change in 'y' is 4 .
-- the line goes to the right, from x=-2 to x=0. The change in 'x' is 2 .

   'm' = the slope = (4)/(2) = 2 .

The "y-intercept" is the place where the line crosses the y-axis.
On this graph, that's the point where y=4 .

The equation of EVERY straight line on ANY graph is:

   Y = (the slope) times 'x' + (the y-intercept) .

So the equation of THIS line on THIS graph is

   Y = 2x + 4 .

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