Susan mixes red and blue paint to make purple.
Red
2 parts of red paint with 3 parts of blue paint make purple.
Susan has 50 ml of red and 100 ml of blue.
What is the maximum amount of purple she can make?

Answers

Answer 1

Answer:

  125 mL

Step-by-step explanation:

Susan's purple paint has the proportions 2 parts red and 3 parts blue. That means the total amount of paint is (2+3)/2 = 5/2 the amount of red paint, or (2+3)/3 = 5/3 the amount of blue paint.

__

The total amount of paint Susan has is 50 mL +100 mL = 150 mL.

If Susan uses all of her red paint (with sufficient blue paint), she would have an amount of purple paint equal to ...

  (5/2)(50 mL) = 125 mL . . . . purple paint

If Susan uses all of her blue paint (with sufficient red paint), she would have an amount of purple paint equal to ...

  (5/3)(100 mL) = 166 2/3 mL . . . . purple paint

This is more paint than Susan has, so the amount of purple paint Susan can make is limited by the amount of red paint she has. Susan can make a maximum of 125 mL of purple paint.

_____

Additional comment

Essentially, we have rewritten the proportion to show corresponding amounts of red and blue paint:

  red : blue = 2 : 3 = 50 : 75 = 66 2/3 : 100

Since Susan has only 50 mL of red, and more than 75 mL of blue, the red paint is the limiting ingredient.


Related Questions

QUESTION 1 of 10: If you pay a total of $400 for your social media campaign, and you agreed to pay $0.20 per click, how many clicks did you
get?

a) 80
b) 160
c) 1,200
d) 2,000

Answers

Answer:

d. 2,000

Step-by-step explanation:

400 (total) / 0.20 (per click) = 2,000

you roll a six-sided die. find the probability of the event described. explain your reasoning: you roll a number less than three​

Answers

Can only get a 1 or 2
1/6 + 1/6 = 2/6
Or 1/3 simplified

Find the measure of the missing angles.
147°
b =
c =

Answers

Step-by-step explanation:

b = 147° ( vertically opposite angle )

c + 147 ° = 180° ( supplementary angle )

c = 180° - 147°

c= 33°...

Answer:

Step-by-step explanation:

b = 147°    {Vertically opposite angles are congruent}

Linear pair: A linear pair is a pair of adjacent angles whose non-common arms form a line ( opposite rays)

c + 147 = 180          {Linear pair}

         c = 180 - 147

c = 33°

Which of the relations given by the following sets of ordered pairs is a function?
(8,1),(-4,1),(3,5),(0,4),(-1,2)
{(-5,-4),(-4,-3),(-3,-2),(-4,-5),{(-2,-1)}}
((2,4),(2,6),(2,8),(2,10),(2,12)]
({(0,3),(-6,8),(-3,5),(0,-3),(7,11)})

Answers

Answer:

Number 1

Step-by-step explanation:

Functions have to have no repeating x-intercepts.

There are 6 juice boxes in 1 pack. 12 in 2 packs, and 18 in 3 packs. How many juice boxes are in 4 packs? in 6 packs? Use the rule to complete the table. Describe features of the pattern Then find how many juice boxes are in 10 packs and 100 packs

Answers

Answer:

24 boxes in 4 packs.

36 boxes in 6 packs.

60 boxes in 10 packs.

600 boxes in 100 packs.

Step-by-step explanation:

If 6 boxes are in 1 pack and 12 in 2, you can use a ratio, which is 1:6 meaning for every 1 pack are 6 boxes.

There are two ways you can get an answer

Multiplication:

For however many packs there are you multiply it by 6 boxes.

For 4 packs, you multiply it by 6 boxes. You would get 24 boxes.

For 6 packs, you multiply it by 6 boxes again getting 36 boxes.

Below is a table I made for an example.

P | B

1  | 6

2 | 12

3 | 18

4 | 24

5 | #

6 | 36

10 x 6 is 60

100 x 6 is 600.

whenever the multiplier starts with 1 and ends in 0, just add the number of zeros behind that number. Example: 7 x 1,000,000 = 7,000,000

The diameter of a flour tortilla is 12 inches. What is the area to the nearest hundredth?

Answers

Answer: 113.04 in^2

Step-by-step explanation:

area of a circle = pir^2

R = 12/2 = 6

A= 3.14 * 6^2

= 113.04

please help me (NO LINKS PLEASE)

Yvette spins the following spinner 35 times.

A spinner with 5 equal sections labeled 1 through 5.




How many times should she expect it to land on 4?
Enter your answer as a number, like this: 42

Answers

Answer:

7 times

Step-by-step explanation:

Prob of landing on 4: 1/5

1/5 * 35 = 7

Answer: 7

Step-by-step explanation:

Glven: AABC with altitude h shown in the diagram. The altitude is perpendicular to BC.
Prove: Area of AABC = 1/2ab sin(C)

By the definition of the (sine ratio, area of triangle, or perimeter of triangle) , the area of ABC is 1/2 ah, then, sin (C)h/b bye the definition of the sine ratio. Using the (division property, multiplication property, substitution property,) bsin(C) = H. Lastly A= 1/2absin(C) by the (simplification, division property, multiplication property, substitution property)

Answers

Answer:

Area of triangle

Multiplication property of equality

Substitution property of equality

Step-by-step explanation:

Hope this helps

So, it is proven that the area of triangle ABC is  [tex]\frac{1}{2} * a*b*SinC[/tex].

What is a triangle?

A triangle is a 2D shape having three sides and the sum of all angles is 180°.

We have,

A ΔABC,

And,

AB = c

BC = a

CA = b

H = Altitude of the triangle,

Now,

Area of triangle [tex]=\frac{1}{2} * Base *Altitude[/tex]

i.e.

Area of triangle ABC [tex]=\frac{1}{2} * a*h[/tex]     .....(i)

Now,

Using trigonometric ratios,

[tex]Sin C = \frac{Perpendicular}{Hypotenuse}[/tex]

i.e.

[tex]Sin C = \frac{h}{b}[/tex]

We get,

h = b * SinC

Now,

putting this value in equation (i),

We get,

Area of triangle ABC [tex]=\frac{1}{2} * a*b*SinC[/tex]  

So,

It is proved that area of triangle ABC [tex]=\frac{1}{2} * a*b*SinC[/tex] ,

Hence, we can say that it is proven that the area of triangle ABC is  [tex]\frac{1}{2} * a*b*SinC[/tex], using trigonometric ratios and the triangle's area formula.

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 Can a probability more than one or 100% Explain.

Answers

Answer:

No. Only 1 to 100, logically.

Let's make a scenario to solve this.

So let's say I have an all yellow, 9 quarter spinner board and I spin. It will always land on yellow, so it has a 9/9 or 100% chance of landing on yellow.

Now we must create another scenario.

For instance, I have one bottle, its starting direction was North, and I spin it. It will have a 1/4 chance of landing on North, East, South, or West because it will land in a random direction. For the 4 diagonal directions southeast, southwest, northeast, northwest it will be the same because there are only 4 directions, therefore giving the probability a 1 in 4 chance of landing on either one. :)

No. Only 1 to 100, logically.Let's make a scenario to solve this.So let's say I have an all yellow, 9 quarter spinner board and I spin. It will always land on yellow, so it has a 9/9 or 100% chance of landing on yellow.Now we must create another scenario.For instance, I have one bottle, its starting direction was North, and I spin it. It will have a 1/4 chance of landing on North, East, South, or West because it will land in a random direction. For the 4 diagonal directions southeast, southwest, northeast, northwest it will be the same because there are only 4 directions, therefore giving the probability a 1 in 4 chance of landing on either one. :)

Step-by-step explanation:

A term describing a division of observations into four

Answers

Answer:

The name of this term is a quartile.

Solve for m. 2 = m /3 − 2

Answers

Answer:

12

Step-by-step explanation:

Add 2 to both sides, giving 4 = m/3Multiply both sides by 3, giving 12 = m

Fill in the blanks!

Answers

Answer:

5(3x + 4y)

= (5×3x) (5×4y)

=15x + 20y

Step-by-step explanation:

Simplify by expanding

I'm not sure if this is the answer you want but I hope it helps

Entercept word problems

arn

r

2. the water in nate's swimming pool is

currently 72 inches deep. however, nate

noticed a hole in the liner that is causing

water to leak out of the pool. the depth of

the water is decreasing at a rate of 2 inches

per hour. which equation relates the depth

(d) of the water in inches after h hours?

Answers

slope intercept form will help you find the function of the line :) [ y = mx + b ]

at time = 0 (y-intercept) the pool is 72in deep

the pool loses 2 inches of water every 1 hour. or -2/1

so your equation is y = -2x + 72

Good Luck!

the sum of 2 thousands, 11 hundreds, 8 tens 2 ones=

Answers

Answer:

answer is 3182

Step-by-step explanation:

hdjsiabehdk

For the first 6% of Bianca's salary, her employer matches 100% of her 401(k)
contributions, and from 6% to 12%, Bianca's employer matches 50% of her
401(k) contributions. Bianca's salary is $50,000, and last year, she contributed
$6000 to her 401(k) plan. What was her employer's contribution to the
401(k)?

Answers

Answer:

4500

Step-by-step explanation:

20 points!! Will give brainilisest. ASAP!!

Answers

Answer:

Measure the border between the black lines and the distance between the two places. Then calculate the difference.

Step-by-step explanation:

EX: Let’s say distance is 10 inches distance and 7 inches distance between cities.

7/10–> 7x36/10x36

252/360

And then simplify!

Type the correct answer in the box. Use numerals instead of words.
A toy ball has a surface area of 7,543 square millimeters.

What is the radius of the toy ball to the nearest tenth of a millimeter?

The radius is millimeters.

Answers

Answer:

The answer is 7,540 to the nearest tenth. If I'm wrong put it in the comments olease

The radius of the toy ball is 24.5 millimeter (to nearest tenth)

What is the surface area of a sphere ?

Let, r be the radius of the sphere.

Then the surface area of the sphere = [tex]4\pi r^{2}[/tex] sq. unit

How to find the radius of the toy ball?

The structure of the toy ball is sphere.

Given, Surface area of the toy ball = 7543 square millimeter

Let, the radius be r millimeter

∴  [tex]4\pi r^{2}[/tex] = 7543

⇒ [tex]r^{2}[/tex] = [tex]\frac{7543}{4*3.14}[/tex]  , where [tex]\pi[/tex] = 3.14

⇒  [tex]r^{2}[/tex] = [tex]\frac{7543}{12.56}[/tex]

⇒  [tex]r^{2}[/tex] = 600.56

⇒ r = [tex]\sqrt{600.56}[/tex]

⇒ r = 24.5 (approx)

Radius = 24.5 millimeter (to nearest tenth)

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A group consists of 10 kids and 2 adults. On a hike, they must form a line with an adult at the front and an adult at the back. How many ways are there to form the line

Answers

Answer:

1

Step-by-step explanation:

One adult at the front ~ ten students in a line ~ Second adult

What is the number of x-intercepts of the graph of the function f ( x ) = 25 x 2 + 4 ?

Answers

Answer:

0.

Step-by-step explanation:

For x-intercepts:

25x^2 + 4 = 0

x^2 = -4/15

There are no real square roots of a negative value, so there are no x-intercepts.

come get a prize brainlest

Answers

Answer: 70 - 79

hope this helps! :)

Describe the length and width of a rectangle that has the same area as the one below, but a different perimeter.

Answers

the area of both rectangles is 34yd²

hope it really helps...!!!

Tyrone randomly drew pieces of paper numbered 10 through 50 out of a bowl. After he drew each piece of paper, he recorded the number, returned the piece of paper to the bowl, and then drew the next piece of paper. His results are recorded in the stem-and-leaf plot below.

1 1 1 2 3 4 4 5 7 8
2 0 1 2 2 2 3 4 6 8 9
3 0 0 1 2 3 4 5 5 6 7 9 9
4 3 4 4 5 6 7 8 8 9
Key: 1 6 represents 16

Based on the information in the stem-and-leaf plot, what is the experimental probability that a piece of paper randomly drawn from the bowl will have the number 35 written on it?
A.


B.


C.


D.

Answers

Answer:

the answer is D, 1/20

Step-by-step explanation:

i got it wrong the first time but just look at the correct answer choice

The experimental probability is 1/20 that a piece of paper randomly drawn from the bowl will have the number 35 written on it.

What is the stem-and-leaf diagram?

A stem-and-leaf diagram is a quantitative assessment of a collection of data in which the data values are divided into a "stem" (the first digit of the number) and a "leaf" (the remainder of the number) (the last digit of the number).

As per the given stem-and-leaf plot, the required solution would be as:

First, determine the total number of pieces of paper pulled from the bowl by totaling the entries in the stem-and-leaf plot.

The stem-and-leaf layout has 40 numbers, with two of them being 35.

As a result, two of the forty pieces of paper drawn had the number 35 scrawled on them.

So, the experimental probability of the piece of paper having 35 on it is :

2/40 = 1/20.

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A hen weighs 2.7 kg. After laying an egg her weight is reduced by 1%. How much does she
weigh now?

Answers

2.673 is the asnwer to your quesstion.

Brainly patrol, this is a real answer. Stop it.

A regular heptagon has a radius of approximately 27.87 cm and the length of each side is 24.18 cm. what is the approximate area of the heptagon rounded to the nearest whole number? recall that a heptagon is a polygon with 7 sides. 1,173 cm2 2,125 cm2 2,359 cm2 4,250 cm2

Answers

The area of the regular heptagon which has a radius of approximately 27.87 cm and the length of each side is 24.18 cm is 2125 cm².

What is the area of a heptagon?

Heptagon is the closed shape polygon which has 7 sides and 7 interior angles.

The area of the regular heptagon is found out using the following formula.

[tex]A=\dfrac{7a}{4}\cot \left(\dfrac{180}{7}\right)[/tex]

Here, (a) is the length of the heptagon.

A regular heptagon has a radius of approximately 27.87 cm and the length of each side is 24.18 cm. Put the value of side in the above formula,

[tex]A=\dfrac{7\times24.18}{4}\cot \left(\dfrac{180}{7}\right)\\A\approx 2125\rm\; cm^2[/tex]

Hence, the area of the regular heptagon which has a radius of approximately 27.87 cm and the length of each side is 24.18 cm is 2125 cm².

Learn more about the area of a heptagon here;

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Answer: b

Step-by-step explanation:

the 6th term is 22 and the common difference is 6 what is the fiftieth term?

Answers

Answer:

the fiftieth term is 76

Step-by-step explanation:

first subtract 15 by 6

15-6= 9

22+ 6 (9)

6 x 9= 54

22 + 54= 76

Answer: 76

If two number cubes are rolled what is the probability of rolling two numbers with a sum less than or equal to 10

Answers

Answer:

[tex]p = \frac{11}{12}[/tex]

Step-by-step explanation:

If we roll two number cubes we can summarize the results in the following table (Check table in the attachment)

According to table of sum we roll two numbers with a sum less than or equal to 10 in 33 cases out of a total of 36 result

Then

The probability of rolling two numbers with a sum less than or equal to 10 is: 33/36 = 11/12

Complete the statement about taxes on dividends. Dividends that are (nonqualified or qualified) are taxed the same as short-term capital gains, which is (equal to, higher than, lower than) the investor's marginal tax rate

Answers

Dividends that are nonqualified are taxed the same as short-term capital gains, which is lower than the investor's marginal tax rate.

What is Marginal tax rate?

This is defined as the amount of additional tax paid for every additional dollar earned as income.

The additional amount calculated therefore makes nonqualified dividends to have a lower value than it.

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Answer: dividends that are NONQUALIFIED are taxed the same as short-term capital gains, which is EQUAL TO the investors marginal tax

Step-by-step explanation:

Which expression is equivalent to 312 • 79?

Answers

Answer:

Step-by-step explanation:

How do I solve this ?

Answers

just type it in a but it 93 explanation

the ratio of ________to ____________is 4:6 because ther are 4 __________ for every 6 ___________.

Answers

Answer:

the ratio of apples to oranges is 4:6 because there are 4 apples for every 6 oranges.

Step-by-step explanation:

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