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Vaselesa [24]
3 years ago
11

Ella has 0.5 lbs of sugar. How much water should she add to make the following concentrations? Tell Ella how much syrup she will

have in each case.
answer for

50%

5%

75%

1.5%


PLZ HELP WILL FOLLOW BACK
Mathematics
1 answer:
andre [41]3 years ago
5 0

Answer:

mass of solution = mass of sugar / concentration

mass of water = mass of solution - mass of sugar

Answers for 50%

mass of solution = 0.5 lbs / 50% = 0.5 lbs / 0.5 = 1 lbs syrup

mass of water = 1 lbs - 0.5 lbs = 0.5 lbs of water

Answers for 5%

mass of solution = 0.5 lbs / 0.05 = 10 lbs syrup

mass of water = 10 lbs - 0.5 lbs = 9.5 lbs of water

Answers for 75%

mass of solution = 0.5 lbs / 0.75 = 0.6667 lbs syrup

mass of water = 0.6667 lbs - 0.5 lbs = 0.1667 lbs of water

Answers for 1.5%

mass of solution = 0.5 lbs / 0.015 = 33.33 lbs syrup

mass of water = 33.33 lbs - 0.5 lbs = 32.83 lbs of water

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Step-by-step explanation:

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So to solve for this, we need to set up proportional fractions, which I will help show you how to do.
First, if we are given an amount out of a total, we need to put it over x (if we are looking for the total). It looks like this:
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We have a total of 40 test problems, so we can put our total at the bottom, x/40.
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Now this is where things may get tricky if you don't pay attention.
Multiply the numerator (the top number of a fraction) of x/40 by the denominator (the bottom number of a fraction) of 80/100.
Your product equation should look like this:
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4 0
3 years ago
49/6 into a mixed number
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4 0
4 years ago
Read 2 more answers
Z varies directly as x and y, z = 6 when x=2 and y = 6. Find the value of z when x = 3 and y = 8
Monica [59]

Answer:

12

Step-by-step explanation:

 This is a joint variation problem:

              z varies directly as x and y

Interpreting this;

                z ∝ xy

 Therefore;

               z  = kxy

 z = 6, x = 2, y  = 6

   Now find k,

             6  = 2 x 6 x k

              6  = 12k

               k  = \frac{1}{2}

To find the value of z;

   x  = 3, y  = 8

              z  =  \frac{1}{2}  x 3 x 8  = 12

3 0
3 years ago
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