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V125BC [204]
4 years ago
5

You need to prepare 30mL solution of a 1:8 syrup solution. You have on hand 50% syrup solution and a 1:20 soda solution. How man

y mL of each solution do you need to create the final solution?
Mathematics
1 answer:
aleksandr82 [10.1K]4 years ago
8 0

Answer:

5 ml of 50% syrup solution will be used to create the final solution

Step by step Explanation:

Let the amount of 50% solution that was used = b

Which means ( 30 - b ) is the amount of 1/200 solution used then we can derive an equation as follows,

set up will then be,

0.5b +0.05(30 -b) = 1/8 (30)

We can simplifiy this as

0.5b+ 1.5 -0.05b = 3.75

Then make b the subject of the formula we have

0.45b = 2.25

b= 2.25/0.45

b = 5 ml

Therefore, 5ml of 50% syrup solution will be used to create the final solution

You might be interested in
What is the equation of the line that passes through (0,3) and (-5,3)
ddd [48]

Answer:

y=+3

Step-by-step explanation:

the equation of a line is y=mx+c

where m is the slope and c is the y-intercept.

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (0,3), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=0 and y1=3.

Also, let's call the second point you gave, (-5,3), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=-5 and y2=3.

Now, just plug the numbers into the formula for m above, like this:

m=\frac{3-3}{-5-0}

or

m=\frac{0}{-5}

or

m=0

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+c like this:

y=0x+c

Now, what about c, the y-intercept?

To find c, think about what your (x,y) points mean:

(0,3). When x of the line is 0, y of the line must be 3.

(-5,3). When x of the line is -5, y of the line must be 3.

Because you said the line passes through each one of these two points, right?

Now, look at our line's equation so far: y=0x+c. c is what we want, the 0 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (0,3) and (-5,3).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for c for the particular line that passes through the two points you gave!.

You can use either (x,y) point you want..the answer will be the same:

(0,3). y=mx+c or 3=0x 0+c, or solving for c: c=3-(0)(0). c=3.

(-5,3). y=mx+c or 3=0x -5+c, or solving for c: =3-(0)(-5). c=3.

See! In both cases we got the same value for c. And this completes our problem.

The equation of the line that passes through the points

(0,3) and (-5,3)  

is  

y=+3

Hope this helps :)

7 0
3 years ago
Read 2 more answers
a windowpane is 5.7 Inches by 7.1 inches. what is the distance between opposite corners of the windowpane? if necessary, round t
nikitadnepr [17]

Answer:

the distance is 9.1 inches (please give brainliest)

Step-by-step explanation:

we must use the pythagorean theorem:

5.7^2 + 7.1^2 = c^2

(c being the distance being the two corners)

c^2 = 82.9

c = sqrt(82.9) ≈ 9.1

7 0
3 years ago
A pipe gallon can pump 1,000 gallons of water in 4 hours, how long would it take for the pipe to fill a 2500 gallon pool?
almond37 [142]
You can divide 1000 by 4 then multiply a number to get 2500

1000/4= 250

250 x 10 = 2500


Answer: 10 hours
8 0
3 years ago
Please answer this asap
Artyom0805 [142]

Answer:

C

(8)(-5)

Just multiply, 8 x -5 = -40

3 0
3 years ago
Solve the inequality |3x-6|≤9
avanturin [10]
3x-6≤9
3x≤15
x≤5
so the answer is x≤5
5 0
4 years ago
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