1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
DiKsa [7]
2 years ago
12

Ella has 0.5 lb 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?
Mathematics
2 answers:
kramer2 years ago
5 0

Answer:

unknown

Step-by-step explanation:

i dont understand the question, the following concentrations are not listed and i do not know how the numbers are tied together, please comment if you have this information and ill try my best to answer (ill edit this answer)

makkiz [27]2 years ago
3 0

Answer:

For 50% syrup, add 0.5 lb of water for 1 lb of syrup; for 5% syrup, add 9.5 lb of water for 10 lb of syrup; for 75% syrup, add 0.17 lb of water for 0.67 lb of syrup; for 1.5% syrup, add 32.8 lb of water for 33.3 lb of syrup.

Step-by-step explanation:

Let x represent the amount of water added.  This means the total mass of the syrup is represented by 0.5+x.

To find percentages, we divide the part by the whole.  For a 50% syrup, we need the part (sugar) compared to the whole (sugar + water) to equal 50%, or 0.50:

Multiply both sides by 0.5+x:

Using the distributive property, we have

0.5 = 0.5(0.5)+0.5(x)

0.5 = 0.25+0.5x

Subtract 0.25 from each side:

0.5-0.25 = 0.25+0.5x-0.25

0.25 = 0.5x

Divide both sides by 0.5:

0.25/0.5 = 0.5x/0.5

x = 0.5

For 50% syrup, add 0.5 lb of water.  This makes the total mass 0.5+0.5 = 1 lb.

For 5% syrup, we change the equation to equal 0.05 (5% = 5/100 = 0.05) and leave everything else the same:

Multiply both sides by 0.5+x:

Using the distributive property,

0.5 = 0.05(0.5)+0.05(x)

0.5 = 0.025 + 0.05x

Subtract 0.025 from both sides:

0.5-0.025 = 0.025+0.05x-0.025

0.475 = 0.05x

Divide both sides by 0.05:

0.475/0.05 = 0.05x/0.05

x = 9.5

For 5% syrup, add 9.5 lb of water; the total mass will be 9.5+0.5 = 10 lb.

For 75% syrup, set the equation equal to 0.75:

Using the distributive property,

0.5 = 0.75(0.5)+0.75(x)

0.5 = 0.375 + 0.75x

Subtract 0.375 from each side:

0.5 - 0.375 = 0.375 + 0.75x - 0.375

0.125 = 0.75x

Divide both sides by 0.75:

0.125/0.75 = 0.75x/0.75

0.17 = x

For 75% syrup, add 0.17 lb of water; the total mass is 0.17+0.5 = 0.67 lb.

For 1.5% syrup, set the equation equal to 0.015:

Using the distributive property,

0.5 = 0.015(0.5) + 0.015(x)

0.5 = 0.0075 + 0.015x

Subtract 0.0075 from each side:

0.5-0.0075 = 0.0075 + 0.015x - 0.0075

0.4925 = 0.015x

Divide both sides by 0.015:

0.4925/0.015 = 0.015x/0.015

32.8 = x

For 1.5% syrup, use 32.8 lb of water; the total mass is 32.8+0.5 = 33.3 lb.

I hope this is right and have a good day

You might be interested in
ASAP HELPPP PLZZZZZ hurry plzzz
sleet_krkn [62]

Answer:

It's an enlargement

Step-by-step explanation:

e.g. when your pupils become dilated they enlarge

5 0
3 years ago
Read 2 more answers
Andrew is a realtor who makes 11% commissions. if he recently sold a house for $120,000 how much would he make in commissions
vova2212 [387]

Answer:

the answer would be 133200 dollars

5 0
2 years ago
What is the slope of the line through (-5,-10) and(-1, 5)?
Mila [183]

Answer: The slope is 15/4.

Step-by-step explanation:

M = (y2 - y1)/(x2 - x1)

M = (5 - (-10))/(-1 - (-5))

M = (5 + 10)/(-1 + 5)

M = 15/4

6 0
3 years ago
A water tank in Stewart's
lara [203]

The change in the volume of water in 1 minute is a decrease of 0.16 milliliters.

Since a water tank in Stewart's home had a small, steady leak loss of 1 3/5 mL in 10 min, to find the change in the volume of water in 1 minute, the following calculation must be performed:

  • The total leak must be calculated and divided by the 10 minutes duration.  
  • 3/5 = 0.6
  • 1 + 0.6 = 1.6
  • 1.6 / 10 = 0.16

Therefore, the change in the volume of water in 1 minute is a decrease of 0.16 milliliters.

Learn more in brainly.com/question/19747831

3 0
2 years ago
the pool at the apartment is 30 feet long 20 feet wide and five feet deep it has been filled to 4 feet how many more cubic inche
pickupchik [31]

Answer:

600 cubic feet

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • A country has 23,456,900 citizens out of those 5.5 million are under 5.5 feet tall. What percentage of the population is under 5
    12·1 answer
  • If the mean of 4,8 and x is 7 what is the value of x
    11·1 answer
  • What is the area of a sector with radius 4 and an angle of 18°? Use 3.14 for p...
    14·1 answer
  • What is the square root of 9?​
    9·2 answers
  • Can you please help?
    14·1 answer
  • Find a 5% commission for $18,000 in sales?
    9·1 answer
  • (2x - y + 3) (2x - y - 3)using identities ​
    15·1 answer
  • The multiplicative inverse of 7^-2 is<br><br>1/7<br><br>1/7^2<br><br>7^2<br><br>7​
    12·1 answer
  • im basically just gonna keep putting up sum1 hmu till sum1 with an interesting conversation talks 2 me l-m-a-oooooo
    13·1 answer
  • Describe the effect an increase in i, the interest rate applied to the present value, has on the monthly payment P in the formul
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!