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
lyudmila [28]
2 years ago
8

Carlos mixed 3 1⁄2 cups of red paint with 4 1⁄2 cups of yellow paint to make an orange paint. How many cups of red paint and how

many cups of yellow paint will Carlos need to make 12 cups of the same shade of orange paint? Solve in at least three different ways.
Mathematics
1 answer:
Doss [256]2 years ago
6 0

Answer:

The answer is " red cups is "5.25""

Step-by-step explanation:

Given:

red paint= 3\frac{1}{2}= \frac{7}{2} =3.5

yellow paint= 4\frac{1}{2}= \frac{9}{2} =4.5

total cups=12        

i) The Ratio of red and yellow  is= 3.5 : 4.5

If the red cups are= \frac{3.5}{8}

number of red cups:

\to \frac{3.5}{8}\times 12\\\\\to \frac{3.5}{2}\times 3\\\\\to 3.5\times 1.5\\\\\to 5.25

ii)

\to 3.5x+4.5x=12......(a)\\\\\to 8x=12\\\to x=\frac{12}{8}\\\\\to x=\frac{3}{2}\\\\

put the value of x in equation (a):

\to 3.5 \times \frac{3}{2}+4.5\times  \frac{3}{2}=12\\\\\to 35 \times \frac{3}{20}+45\times  \frac{3}{20}=12\\\\\to 5.25+6.75=12

iii)

if \frac{4.5}{8} \times 12= 6.75 yellow cups used in making orange paint

so, red paint +yellow paint = total cups

let, red paint cups =x

⇒x+6.75=12

⇒x=12-6.75

⇒x=5.25

The value of red cups is 5.25.

You might be interested in
56+3<br><img src="https://tex.z-dn.net/?f=56%20%2B%203%20%3D%20" id="TexFormula1" title="56 + 3 = " alt="56 + 3 = " align="absmi
tangare [24]

sorry if I'm wrong. I got confused because you put 56+3 twice.×= 63
56+3=59=x-4 (this is with subtraction sign)

I didnt know if that a subtracting or negative so here both

56+3=x-4 (this is with the negative sign)
x= -14.75






6 0
3 years ago
Make sure all solutions are in lowest terms. 5/6 • 1/3
stiks02 [169]
1/3=2/6
5/6x2/6= 10/36
10/36 simplified is 5/18
3 0
2 years ago
Jhalen gave a presentation in health class about the importance of supportive sneakers. His presentation was 2/3 the length of L
cluponka [151]

Answer: Lenayah's presentation was 12 minutes long.

Step-by-step explanation:

  1. Set up a proportion. 2/3 = 8/x.
  2. Cross multiply. 2x = 24
  3. Divide both sides by 2. x =12
5 0
3 years ago
PLZZ HELP ITS AN EMERGENCY THIS IS DUE IN 30 MINUTES!!!​
Nataly_w [17]

Answer:

1.equation

2. inverse operations

3. 3.7

4. 8

5. yes its a solution because 58=58

6. not a solution

7. 10.3

9. 9

11. 64

12. 2.1

Step-by-step explanation:

4 0
3 years ago
Molly bought two cabbages for 1.80 how many cabbages could she buy with 28.80
Alika [10]
She can buy 16 cabbages .
3 0
3 years ago
Other questions:
  • HELP!!! PLZ !!!!!!!!!
    6·2 answers
  • anna writes the decimal 0.15 byran says he can write a decimal smaller that anna's using the digits 1 and 5. is he correct?
    12·2 answers
  • Luke wants to reduce the area of his rectangular Garden by 1/4 the expression 14/W can be used to represent this change. What is
    6·1 answer
  • Kimberly and Mike have an equal amount of money. After Kimberly spent $50 and Mike spent $25, Mike's money is 50% more than Kimb
    6·1 answer
  • Solve for x: -5| x + 1| = 10 please help
    10·2 answers
  • When you shift a function, you are _______ it
    5·2 answers
  • Can sumbody cashapp me . $chachaslideee
    12·1 answer
  • Can someone help me ? I’m really confused and need help asap.
    15·2 answers
  • PLEASE HELPPPP<br> A Kite is a Parallelogram.<br> Always<br> Never<br> Sometimes
    8·2 answers
  • What is the value of a?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!