Purple paint is made with a 16:3:1 ratio of white paint:blue paint:red paint. How much white paint, in gallons, is needed in order to make one gallon of purple paint? Express your answer as a common fraction.

Answers

Answer 1

Answer:

4/5

Step-by-step explanation:

The purple paint is split into 16+3+1=20 parts: 16 parts of white, 3 parts of blue, and 1 part of red. Thus, in one gallon of purple paint, 16 out of the total 20 parts are white paint, so there are 16/20 x 1 gallon = 4/5 gallons of white paint in one gallon of purple paint.

Answer 2

The amount of white paint that is needed in order to make a gallon of purple paint would be 4 / 5 gallons.

How to find the number of gallons ?

The ratio of white:blue:red paint is given as 16:3:1. The sum of these ratio components gives the total parts for one 'unit' of paint.

So, 16 (for white) + 3 (for blue) + 1 (for red) = 20 total parts.

This implies that the 20 parts in this ratio make up 1 gallon of purple paint (as per the question). To find the quantity of white paint needed, we simply need to convert the 'parts' of white paint into gallons.

Since 20 parts is equivalent to 1 gallon, 1 part would be equivalent to 1/20 of a gallon. Therefore, 16 parts of white paint would be equivalent to :

= 16 * (1/20)

= 16/20

= 4/5 gallons

Find out more on ratios at https://brainly.com/question/275989

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Related Questions

richard bought rolls for a bbq he bought 4 1/4 dozen wheat rolls and 5 2/3 snowflake rolls if 4 1/3 were eaten at the bbq how many dozen rolls does richard have left

Answers

Answer: Richard has 5 7/12 rolls left.

Step-by-step explanation:

Hi to answer this question, first, we have to sum the amount of rolls Richard bought for the bbq:

4 1/4 + 5 2/3 = 4 3/12 + 5 8/12 = 9 11/12

Finally we have to subtract the amount of rolls eaten at the bbq to the previous number.

9 11/12 - 4 1/3 = 9 11/12 - 4 4/12= 5 7/12  

So, Richard has 5 7/12 rolls left.

Feel free to ask for more if needed or if you did not understand something.

A veterinarian needs to know an animal's weight in kilograms. If 20 pounds is about 9 kilograms and a dog weighs 30 pounds, use a ratio table to find the dogs weight in kilograms.

Answers

the answer is 18 im pretty sure

m+2m+(2m+16)+(m-10)=150 please help me solve.

Answers

m=72+(-2m) is the answer to this problem
Well the answer is 5376.or at least I think.jyst multiply it

Trevon, Leah, and Beth are playing a computer game. Trevon scores -8. Beth’s score was 3/4 of trevons score, and Leah’s score was 1/4 of Beth’s score. What was Leah’s score

Answers

-8 = trevon

(3/4)-8 = beth
= -6

1/4[(3/4)-8] = leah
1/4(-6)
= -1.5

Answer:

[tex]-1.5[/tex]

Step-by-step explanation:

We have been given that Beth's score is 3/4 of Trevon's score.

[tex]\text{Beth's score}=-8\times \frac{3}{4}[/tex]

[tex]\text{Beth's score}=-2*3[/tex]

[tex]\text{Beth's score}=-6[/tex]

We are also told that Leah’s score was 1/4 of Beth’s score.

[tex]\text{Leah's score}=-6\times \frac{1}{4}[/tex]

[tex]\text{Leah's score}=-\frac{3}{2}[/tex]

[tex]\text{Leah's score}=-1.5[/tex]

Therefore, Leah score was [tex]-1.5[/tex].

Julio has a bag containing 7 red marbles, 8 blue marbles, 3 green marbles and 9 yellow marbles . He randomly draws 3 red marbles, 1 blue marble, and 2 yellow marbles from the bag. What is the probability that the next marble he draws is green?

Answers

Total marbles=7+8+3+9=27

so, the probability that the next marble he draws is green is 3/27
Hello There!

Find the total number of marbles:
7 + 8 + 3 + 9 = 27
Find the total after some marbles have been taken out:
3 + 1 + 2 = 6
27 - 6 = 21.
There are 3 green marbles left in the bag.
There are a total of 21 marbles in the bag.
The answer is 3/21.

Hope This Helps You!
Good Luck :) 

- Hannah ❤

What is the solution to the equation 1/6n =2?

Answers

divide 1 from both sides to get 6n=2 and 2/ 6 equals 1/3
1/6n=2 /*6   (multiply is by 6 to get rid of the denominator)
n=12

complete the table. then describe a pattern in the decimal forms o the fractions.

Answers

it's going down by five but I'm sure on the last one..but to help add a zero like if it 0.5 it would be 0.50 that should help.

Can someone please help me and explain this to me ! Thanks !

How many 3/4 pound packages can you make with 6 pounds of sunflower seeds ?

Answers

Imagine first splitting 6 wholes up into fourths. That means that, for each whole (each 1) in 6, we're creating 4 equal slices. This gives us 4 x 6 = 24 total slices, which we call fourths. How many groups of 3 fourths (3/4) can you make out of those 24 fourths (24/4)? If we throw aside the label fourths for a minute, in general, if we have 24 things, how many groups of 3 things can we make out of those? Well, our answer there would just be 24 ÷ 3 = 8 groups.

The same thing applies to fourths. If we have 24/4, and we divide it by 3/4, we get 24 ÷ 3 = 8 groups again, so our answer is 8 3/4-pound packages.

Which expressions are equivalent to 4b?
Options:
b+2(b+2b)
3b+b
None of the above

Answers

3b+b because 3+1=4 just add b and replace 1 with b
b is the same as 1
3b is the same as 3
4b :     b + 2(b + 2b)     OR     3b + b

First option : 

b + 2(b + 2b)

Simplify.

b + 2b + 4b

Simplify.

3b + 4b

Simplify.

7b

So, the first option is INCORRECT.

Second option :

3b + b

Simplify.

4b

So, our second option is CORRECT.

3b + b

~Hope I helped!~

two thirds of a number decreased by six is two. what is the number?

Answers

Answer:  The number is:  " 12 ". 

____________________________________
  Let "x" represent "the unknown number" (for which we wish to solve.

The expression:

[tex] \frac{2}{3}[/tex] x  − 6  =  2  ;   Solve for "x" ;  
_______________________________________________
Method 1) 

   Add "6" to EACH SIDE of the equation;
_______________________________________________
       →   [tex] \frac{2}{3}[/tex] x  − 6  + 6 =  2 + 6 ;

to get:

      →   [tex] \frac{2}{3}[/tex] x = 8 ;
______________________________________________
Multiply each side of the equation by "[tex] \frac{3}{2} [/tex]" ; to isolate "x" on one side of the equation ; and to solve for "x" ;
______________________________________________
     → [tex] \frac{3}{2} [/tex] * [tex] \frac{2}{3}[/tex] x = 8 * [tex] \frac{3}{2} [/tex] ;

       →  x = 8 * [tex] \frac{3}{2} [/tex] ;

                = [tex] \frac{8}{1} [/tex] * [tex] \frac{3}{2} [/tex] ;

                = [tex] \frac{8*3}{1*2} [/tex] ;
       
                = [tex] \frac{24}{2} [/tex] ;
 
                = 12 .
______________________________________________
  x =  12 .
______________________________________________
Method 2)
______________________________________________
[tex] \frac{2}{3}[/tex] x  − 6  =  2  ;   Solve for "x" ; 

   Add "6" to EACH SIDE of the equation;
_______________________________________________
       →   [tex] \frac{2}{3}[/tex] x  − 6  + 6 =  2 + 6 ;

to get:
      →   [tex] \frac{2}{3}[/tex] x = 8 ;
______________________________________________
Multiply each side of the equation by "3" ; to get rid of the "fraction" ;
               → 3 * [tex] \frac{2}{3}[/tex] x = 8 * 3  ;
               → [tex] \frac{3}{1} [/tex] * [tex] \frac{2}{3}[/tex] x = 8 * 3 ;
               → [tex] \frac{3*2}{1*3} [/tex]  x = 8 * 3 
               → [tex] \frac{6}{3}[/tex] x = 24 ; 

                → 2x = 24 ;

 →  Divide each side of the equation by "2" ; to isolate "x" on one side of the equation; & to solve for "x" : 
 
                    2x / 2 = 24 / 2  ;

                        x = 12 .
__________________________________________________
Method 3).
__________________________________________________
[tex] \frac{2}{3}[/tex] x  − 6  =  2  ;   Solve for "x" ;  
_______________________________________________
Add "6" to EACH SIDE of the equation;
_______________________________________________
       →   [tex] \frac{2}{3}[/tex] x  − 6  + 6 =  2 + 6 ;

to get:

      →   [tex] \frac{2}{3}[/tex] x = 8 ;
______________________________________________
Now, divide each side of the equation by " [tex] \frac{2}{3}[/tex] " ;
  to isolate "x" on one side of the equation; & to solve for "x" ;
___________________________________________________
{[tex] \frac{2}{3}[/tex] x }  /  {[tex] \frac{2}{3}[/tex]}  =  8 / {[tex] \frac{2}{3}[/tex]} ;

to get:  x =  8 / {[tex] \frac{2}{3}[/tex]} ;

                =  8 * ([tex] \frac{3}{2} [/tex] ;

                =  [tex] \frac{8}{1}[/tex]  *  [tex] \frac{3}{2}[/tex] ;

                =  [tex] \frac{8*3}{1*2} [/tex] ;

                =  [tex] \frac{24}{2} [/tex] ;

                = 12 
___________________________________________
                         x = 12 .
___________________________________________
NOTE:  Variant:  (in "Methods 2 & 3") :
___________________________________________
At the point where:
___________________________________________
 =  8 * ([tex] \frac{3}{2} [/tex]) ;

  =  [tex] \frac{8}{1}[/tex]  *  [tex] \frac{3}{2}[/tex] ;
__________________________________________
  We can cancel out the "2" to a "1" ; and we can cancel out the "8" to a "4" ;
__________________________________________
  {since: "8÷2 = 4" ; and since:  "2÷2 =1" } ;
__________________________________________
and we can rewrite the expression:
__________________________________________
 [tex] \frac{8}{1}[/tex]  *  [tex] \frac{3}{2}[/tex] ;
__________________________________________
as:   [tex] \frac{4}{1}[/tex]  *  [tex] \frac{3}{1}[/tex] ; 
__________________________________________
which equals:
__________________________________________
→  [tex] \frac{4*3}{1*1}[/tex] ; 

   =   [tex] \frac{12}{1} [/tex] ;

            =  12 .
__________________________________________
         x = 12
__________________________________________
Answer:  The number is:  " 12 ". 
__________________________________________

four-fifths of a number minus two is greater than three-tenths of twice that number/7149414/48fd5230?utm_source=registration

Answers

Sorry, but your "/7149414/48fd5230?utm_source=registration" doesn't do anything for us.

Supposing that "Four-fifths of a number minus two is greater than three-tenths of twice that number," find the number.

(4/5)x - 2 > (3/10)(2x)

Mult. all terms by 10 to elim. fractions:

8x - 20 > 6x

Then 2x = 20, and x = 10.  Your answer should be    x > 10.  It's essential that you check this result, however, just in case the answer is x < 10.

basking in the sun
swimming
increasing or decreasing activity level
These are all activities a cold-blooded reptile may do to maintain
A) homeostasis.
B) body weight.
C) peer dominance.
D) blood sugar levels.

Answers

A. Homeostasis (a maintained internal state), in this case, temperature

In the expression 1/4 divided by 5/7, which of the following is the divisor

1/4

4

5/7

7

Answers

5/7 is the divisor because 1/4 is the dividend of the equation and the answer is the quotient

I got bored so i solved it :) = 7/20

Hope this helps!

Answer:

[tex]\frac{5}{7}[/tex]

Step-by-step explanation:

Given expression 1/4 divided by 5/7

For any division [tex]\frac{a}{b}[/tex]

'a' is the dividend and 'b' is the divisor

Denominator is the divisor

[tex]\frac{\frac{1}{4} }{\frac{5}{7}}[/tex]

Here, the denominator is 5/7

So the divisor is [tex]\frac{5}{7}[/tex]

A bus seats 4 people in a row, and there are 12 rows. How many people would fit on 2 buses?

Answers

4 x 12 x 2 = 96 people on two buses
4*12=48
48*2=96

96 people

Paula weighed 65.5 kilograms before she started training she as lost 3500grams how much does she weigh

Answers

Hello!

We have the following data:

Paula weight (before training) = 65.5 kg
Weight lost by Paula (in training) = 3500 grams = 3.5 kg
Paula's weight (after training) =?

65.5 kg - 3.5 kg = 62 kg (Current weight)

1 kilogram = 100 grams

3500 / 1000 = 3.5 kilograms

65.5 - 3.5 = 62

she weighs 62 kilograms

The graph of an inequality is an open circle around the number five with the line shaded to the right of five. Which inequality could this represent?

Answers

open circle...means there is no equal sign in the problem
shaded to the right....means it is greater then

x > 5 ....this is ur inequality

The Nash family spent a total of $240 on a hotel room for 3 nights. Which equation can be used to find c, the average cost per night for the hotel room?

Answers

240 dollarsn for 3 nights so,

240=3x divide by 3 to isolate x
x=80 dollars per night

Answer:

240 divided by 3 = c

Step-by-step explanation:

Tricky...it is $240 for all 3 nights....not $240 per night.  So it is division NOT multiplication.

What is the absolute value of 8.2

Answers

The absolute value of 8.2 is 8.2. Here's the rule for absolute values.
Let x be positive and -x be negative.
|x| = x
|-x| = x

Select the next two terms in the pattern. 0.4, 2, 10, 50, . . .

Answers

it is the multiplicity of 5, which means the next two terms is 250 and 1250

hope this helps

PLEASE HELP I WILL GIVE 50 POINTS
Mr. Rijo bought 49 bags of soil one week and 28 bags of soil the next week. Which expression correctly applies the distributive property to show equivalent expressions for the number of bags of soil he bought?
49 + 28 = 4(7 + 7)
49 + 28 = (7)(7) + (14)(2)
49 + 28 = (7)(14) + (7)(7)
49 + 28 = 7(7 + 4)

Answers

49 + 28 = 7(7+4) is the answer

Answer:

7

Step-by-step explanation:

A number x plus 10 is more than 2

Answers

X+10>2. The simplified answer is x>-8

2/3 of 24 bananas is what

Answers

16

Hope this helped :)

X+6y=29
2x-4y=-6
Solve for x in the first equation

Answers

Solve for x:
x + 6 y = 29 Subtract 6 y from both sides:
Answer:  x = 29 - 6 y
why did you add the second?

Final answer:

To solve for x in the equation X + 6y = 29, subtract 6y from both sides to isolate x, resulting in x = 29 - 6y. The solution for [tex]\( x \)[/tex] in the first equation is [tex]\( x = \frac{19}{2} \).[/tex]

Explanation:

To solve for [tex]\( x \)[/tex] in the first equation [tex]\( x + 6y = 29 \)[/tex], we can isolate [tex]\( x \)[/tex] by subtracting [tex]\( 6y \)[/tex] from both sides of the equation:

[tex]\[ x + 6y - 6y = 29 - 6y \][/tex]

[tex]\[ x = 29 - 6y \][/tex]

Now, we can substitute this expression for [tex]\( x \)[/tex] into the second equation [tex]\( 2x - 4y = -6 \):[/tex]

[tex]\[ 2(29 - 6y) - 4y = -6 \][/tex]

First, distribute the 2:

[tex]\[ 58 - 12y - 4y = -6 \][/tex]

Combine like terms:

[tex]\[ 58 - 16y = -6 \][/tex]

Next, isolate the term with [tex]\( y \)[/tex] by adding [tex]\( 16y \)[/tex] to both sides:

[tex]\[ 58 - 16y + 16y = -6 + 16y \][/tex]

[tex]\[ 58 = -6 + 16y \][/tex]

Now, isolate [tex]\( y \)[/tex]by subtracting 6 from both sides:

[tex]\[ 58 - 6 = 16y \][/tex]

[tex]\[ 52 = 16y \][/tex]

Finally, solve for [tex]\( y \)[/tex] by dividing both sides by 16:

[tex]\[ \frac{52}{16} = y \][/tex]

[tex]\[ y = \frac{13}{4} \][/tex]

Now that we have found the value of [tex]\( y \)[/tex], we can substitute it back into the expression we found for[tex]\( x \)[/tex]:

[tex]\[ x = 29 - 6\left(\frac{13}{4}\right) \][/tex]

[tex]\[ x = 29 - \frac{39}{2} \][/tex]

[tex]\[ x = \frac{58}{2} - \frac{39}{2} \][/tex]

[tex]\[ x = \frac{19}{2} \][/tex]

Therefore, the solution for [tex]\( x \)[/tex] in the first equation is [tex]\( x = \frac{19}{2} \).[/tex]

Naomi has earned$54 mowing lawns the past two days. She worked 2 1/2 hours yesterday and 4 1/4 hours today. If Naomi is paid the same ammount every hour she works, how much does she earn per hour? (show your work)

Answers

2.5 x + 4.25 x = 54

x = the # hours worked

solve for x

Answer:

Naomi earns $8 per hour.

Step-by-step explanation:

Naomi has earned$54 mowing lawns the past two days.

She worked 2.5 hours yesterday and 4.25 hours today.

Suppose she earns x dollars per hour and is paid the same amount every hour she works.

We get the equation;

[tex]2.5x+4.25x=54[/tex]

[tex]6.75x=54[/tex]

x = 8

Hence, she gets $8 per hour.

The table represents some points on the graph of a linear function. What is the rate of change of y with respect to x for this function?

X | Y
-9 | 5
0 | 3
9 | 1

Answers

The given table is
 x   y
-9  5
 0  3
 9  1

The change in x is  9 - (-9) = 9 + 9 = 18
The corresponding change in y is 1 - 5 = -4

The rate of change of y with respect to x is
-4/18 = - 2/9
The slope of the graph verifies that the rate of change is negative.

Answer: -2/9

Write the rule for the pattern. 128, 64, 32, 16, . . .

Answers

it's dividing by 2 every time

Each term in the sequence is obtained by dividing the previous term by 2. Therefore, the rule for the pattern in the given sequence is to halve each term to obtain the next term.

The pattern in the given sequence is a halving pattern.

The rule for the pattern:

1. The first term in the sequence is 128.

2. Each subsequent term is obtained by dividing the previous term by 2.

Let's see how this rule applies to the given sequence:

128 / 2 = 64

64 / 2 = 32

32 / 2 = 16

Every term in the series is created by dividing the one before it by two. The rule for the pattern in the above sequence is to divide each phrase in half to produce the following term.

To know more about the series follow

https://brainly.com/question/1862223

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math question down below

Answers

5(x + 30) 

x + 30 represents the number of minutes per day he practices
5 is the number of days he practices
so 5(x+30) = the total number of minutes he practices in 5 days

For example, if he practices the piano for 20 minutes per day and the violin for 30 minutes per day, he practices a total of 50 minutes per day. For 5 days that would be 5 x 50 = 250 minutes in 5 days.

Plug that into the equation
5(x+30) = 5(20+30) = 5(50) = 250 




How many decimal places are in the product of 1.91 and 2.3?

Answers

When multiplying decimals, the number of decimal places are the combined total of numbers after the decimal with the 2 factors you are multiplying.
in 1.91, there are 2, and in 2.3, there is one.
2+1 is three,
so you would get 3 decimal points in the product.

-33 < -7n - 12 < -26

Answers

-33 < -7n - 12 < -26
First step is to add 12 to both sides.
-33 < -7n  < -26-21 < -7n < -14

Now divide both sides by -7.
3 < n < 2

Because you divided by a negative number though, you need to switch up the signs. Both the < will turn into >.
3 > n > 2

what fraction of £3.00 is 50p

Answers

One sixth. Good luck.
Recognize that 50p = £0.50.

Thus, the ratio 50p to £3.00   is the same as    £0.50                                                                                                                    ------------ = 1/6
                                                                             £3
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