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
ipn [44]
3 years ago
11

A cosmetics company makes three batches of a nail polish color called Purple Dusk using the recipe shown.

Mathematics
1 answer:
Ivanshal [37]3 years ago
3 0

Answer:

Batch 1:- Red 2  ounces     Blue 1 1/2 ounces

Batch 2:-  Red 3     White  3 3/4 ounces.

Batch 3:- White  4 1/6      Blue  2 1/2 ounces.

Step-by-step explanation:

Batch 1

Amount of the white paint = 5/12 of the batch = 2 1/2  or 5/2 ounces.

5/12 is equivalent to 5/2 ounces of white paint.

1/12   ......................... 5/2 / 5 =  5/10 = 1/2 ounce.

Red paint.

!/3 of the product contains red paint which is 4/12 so this is 4 times 1/12 = 4 * 1/2 ounce   = 2 ounces of red paint.

Blue paint.

Similarly to the above amount of blue paint =  1/4 =3/12

= 3 * 1/2 = 1 1/2 ounces of  blue paint.

Batch 2.

We can calculate the missing quantities in a similar way to Batch 1.

Blue Paint =  3/12 of the product  = 2 1/4 ( = 9/4) ounces  so

1 /12 =

9/4 * 1/3 =  9/12 = 3/4 ounce

Red Paint:-  1/12 is equivalent to 3/4 ounce so

Amount of red paint = 4 * 3/4 = 3 ounces  (answer)

White paint = 5 * 3/4 =  15/4 = 3 3/4 ounces (answer)

Batch 3.

Red paint = 3 1/3 ounces is equivalent to  4/12 of the product.

So 1/12 = 10/3  / 4 = 10/12 = 5/6 ounces.

White paint = 5/6 * 5 = 4 1/6 ounces.

Blue paint = 5/6 * 3 = 15/6 = 2 1/2  ounces.




You might be interested in
What's 7 divide 56.35?
sashaice [31]
=0.1242236025 that what i got for and answer
8 0
3 years ago
Read 2 more answers
An initial investment grows at an annual interest rate of 5% compounded continuously. How long will it take to double the invest
quester [9]

A n s w e r:

20 years

7 0
3 years ago
Solve for x.<br> 6(x - 1) = 9(x + 2)<br> x = -8<br> X = -3<br> X = 3<br> x = 8
Wewaii [24]

Answer:

x=-8

Step-by-step explanation:

6\left(x-1\right)=9\left(x+2\right)\\\mathrm{Expand\:}6\left(x-1\right):\quad 6x-6\\6\left(x-1\right)\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b-c\right)=ab-ac\\a=6,\:b=x,\:c=1\\=6x-6\cdot \:1\\\mathrm{Expand\:}9\left(x+2\right):\quad 9x+18\\9\left(x+2\right)\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=9,\:b=x,\:c=2\\=9x+9\cdot \:2\\\mathrm{Multiply\:the\:numbers:}\:9\cdot \:2=18\\=9x+18\\6x-6=9x+18\\\mathrm{Add\:}6\mathrm{\:to\:both\:sides}

6x-6+6=9x+18+6\\Simplify\\6x=9x+24\\\mathrm{Subtract\:}9x\mathrm{\:from\:both\:sides}\\6x-9x=9x+24-9x\\Simplify\\-3x=24\\\mathrm{Divide\:both\:sides\:by\:}-3\\\frac{-3x}{-3}=\frac{24}{-3}\\Simplify\\\frac{-3x}{-3}=\frac{24}{-3}\\\mathrm{Simplify\:}\frac{-3x}{-3}:\quad x\\\frac{-3x}{-3}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}\\=\frac{3x}{3}\\\mathrm{Divide\:the\:numbers:}\:\frac{3}{3}=1\\=x\\\mathrm{Simplify\:}\frac{24}{-3}:\quad -8\\\frac{24}{-3}

\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{-b}=-\frac{a}{b}\\=-\frac{24}{3}\\\mathrm{Divide\:the\:numbers:}\:\frac{24}{3}=8\\=-8\\

4 0
3 years ago
Read 2 more answers
PLEASE HELP THIS IS DUE TODAY!!!!!!
Mnenie [13.5K]

Answer:

D

Step-by-step explanation:

A does not work, because you stop on the way to the meeting (which you don't)

B does not work, because you speed up on the way to the meeting, when in reality you slow down

C does not work, because it does not show that you went back home or changed speed at all

D is correct!

5 0
3 years ago
Solve for x: <br><br> 3x/2 - 10 = 2
Roman55 [17]

Answer:

2(2-10)/3=x

Step-by-step explanation:

2(2-10)=3x

2(2-10)/3=x

4 0
3 years ago
Read 2 more answers
Other questions:
  • seth earns 7 per hour working at a library Write and solve the inequality that can be used to find how many hours he must work i
    12·1 answer
  • Use a single digit times a power of 10 to express the number 0.0000000043 *
    12·1 answer
  • How can a decimal be converted to a percentage?
    5·2 answers
  • What is the answer to 7 x 9
    10·2 answers
  • Please help me on my math homework?
    6·1 answer
  • Which statement accurately describes the vector shown?
    9·2 answers
  • Marissa went to the store with $20 and returned home with $5.36. If she bought only 3 gallons of ice cream, what was the cost of
    7·1 answer
  • Consider the graph of f(x) = 5x^6-5x^5-x^4
    6·2 answers
  • Let's say you are in the market to buy a car that will cost you $20,000. Shopping around for financing, you manage to get $20,00
    7·1 answer
  • 10. A wire is of length 264 cm. It is bent into a circle. What is the radius of the circle so obtained. If it
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!