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. 75% syrup?

Step-by-step explanation:

Let amount of water in lbs is x

so, mass of solution = mass of water + mass of sugar

= (x + 0.5) lbs

concentration of syrup = mass of sugar/mass of solution × 100

75 = 0.5/(x + 0.5) × 100

or, 75/100 = 0.5/(x + 0.5)

or, 3/4 = 0.5/(x + 0.5)

or, 3x + 3 × 0.5 = 4 × 0.5

or, 3x + 1.5 = 2

or, 3x = 0.5

or, x = 0.167 lbs

hence, amount of water is 0.167 lbs

0.167lbs

Step-by-step explanation:

hope this helps!

have a good day :)

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

answer: your correct answer is b. d.

step-by-step explanation: