Marc mixes blue and yellow paint to make his favorite shade of green, which he'll use to paint his house. He has 14 cans of blue paint and 20 cans of yellow paint when he starts. He wants the same green color every time he mixes, so the amounts of blue and yellow must always be proportional to the original mixture. On day 1, he mixes 4 cans of blue and 6 cans of yellow. On day 2, he mixes 6 cans of blue and 9 cans of yellow. Fill in the blanks to find the highest number of cans of each color Marc can mix to make the same shade of green on day 3. 1. In simplest form, what is the ratio of blue paint to yellow paint in the mixture?

Answers

Answer 1

Answer:

2 : 3

Step-by-step explanation:

Total cans of blue paint = 14

Total cans of yellow paint = 20

Day 1:

Yellow paint = 6 cans

Blue paint = 4 cans

Ratio of blue paints to yellow paint

4 cans : 6 cans

= 2 : 3

Day 2:

Yellow paint = 9 cans

Blue paint = 6 cans

Ratio of blue paints to yellow paint

6 cans : 9 cans

2 : 3

The ratio of blue paint to yellow paint in the mixture is 2 : 3

Day 3:

Cans of yellow remaining after 2 days

Yellow paint = Total cans of yellow paint - day 1 cans of yellow paint - day 2 cans of yellow paint

= 20 - 6 - 9

= 20 - 15

= 5 cans

Cans of blue remaining after 2 days

Blue paint = Total cans of blue paint - day 1 cans of blue paint - day 2 cans of blue paint

= 14 - 4 - 6

= 14 - 10

= 4 cans


Related Questions

HELP guys ily please help

Answers

Answer: Choice A) Alternate exterior angles are congruent

This is due to the alternate exterior angles theorem.

A more in depth answer would involve a multiple number of paths to take. One such path could have us noticing the following two properties

angle 1 = angle 4angle 8 = angle 5

Both congruences are due to the vertical angle theorem.

Furthermore,

angle 4 = angle 5

because they are alternate interior angles

Then by the transitive property, we effectively connect the dots or the chain links to get to angle 1 = angle 8. We can also use the substitution property as well.

---------------

Side note: angles 1 and 8 are outside the parallel lines 'a' and m, so they are considered exterior angles. Also, they are on alternating sides of the transversal line t. These two facts lead to angles 1 and 8 being alternate exterior angles.

Answer:

interior angles are congruent

find the slope of the given line

Answers

Answer:

6/5

Step-by-step explanation:

Answer:

the slope is -6/5

Step-by-step explanation:

Which graph represents to equality y<-1+2x

Answers

The third graph (bottom left corner)

You can draw the linear liner first as the equation y=-1+2x, then fill up the space. Since it is less than, the shaded area is lower than the line

can someone please help me with this thank you. Factor completely 64x2 – 49. (1 point) 0 (7x – 8)(7x + 8) O (7x – 8)(7x – 8) O (8x – 7)(8x - 7) O (8x - 7)(8x + 7)​

Answers

Answer:

Explanation:

64x^2 - 49
= (8x)^2 - 7^2
= (8x - 7)(8x + 7)

Answer:

(8x-7)(8x+7)

Step-by-step explanation:

64x²-49

(8x)²-7²

(8x+7)(8x-7) (using a²-b²=(a+b)(a-b)

Or

(8x-7)(8+7)

Please help with this

Answers

Answer:あなたが言うことができるならば、答えは77番目の答えです

Step-by-step explanation: 3

Answer:

103 degrees

Step-by-step explanation:

Since it is a straight line all you have to do is subtract 180 from 77(which is the angle that you know.) If you feel that this helped please give brainliest. Have a nice day!

7t=x, for t


Show your work!

Answers

Answer:

.

Step-by-step explanation:

Answer:

[tex]t=\frac{x}{7}[/tex]

Step-by-step explanation:

You need to isolate the variable t. Use inverse operations for this.

7t can be seen as 7×t, and the opposite of multiplication is division. Divide both sides by 7:

[tex]\frac{7t}{7}=\frac{x}{7}\\\\t=\frac{x}{7}[/tex]

The common term 7 on the left side cancels out.

:Done

What is the appropriate sequence of events for protein synthesis?
A. Amino acids link to form polypeptides, which fold into proteins
B. Polypeptides link to form amino acids, which fold into proteins
C. Proteins link to form amino acids, which fold into polypeptides
D. Amino acids link to form proteins which fold into polypeptides​

Answers

The correct sequence of events in protein synthesis is transcription, then translation.

There are 35 students in the drama club. 2 out of every 5 students in the club are boys.
How many students in the club are boys?

Answers

Answer: In the drama club there’s 14 boys

Step-by-step explanation:

35/5=7

7*2=14 boys

Answer:

14

Step-by-step explanation:

35 divided by 5=7

7times 2 =14

give me 5 things u want for Christmas and 3 words to describe you :))

Answers

Answer: Baggy clothes, a new phone, art supplies, jewelry, posters(marvel, Billie Eilish, and just some random posters that I love) and room decorations.

Step-by-step explanation:

:D

Solve (x + 3)(x - x = 0. (2 points) x = 3, x = -8 O x = -3, x = 8 x = 3, x = 8 O x = -3, X = -8​

Answers

answer:

the answer is -3 and 8

Step-by-step explanation:

we will place -3 in the equation

(x+3)(x-x)=0

(-3+3)=0 (because -3+3 will cut down together)

we will place two 8(eights) in the equation

(8-8)=0

final answer is

(0)(0)=0

so -3 and 8 fits well in the equation

after a 30% reduction, you purchase a dictionary for $30.80 what was the dictionary price before the reduction

Answers

Answer:

Well the original price would be $44

Step-by-step explanation:

So make an equation

Lets make X stand for the price before the deduction

so x-x(0.3)=30.80

Subtracting the X by x(0.3) would tell us the price, the 0.3 stands for 30 percent and we know its 30 percent of X so we subtract that since 0.3x would give the change

Now just solve the equation

You’ll get 44.

How many terms does the polynomial have? 2p2q−3pq 1 2 3 4

Answers

Answer:

Polynomials are classified according to their number of terms. 4x3 +3y + 3x2 has three terms, -12zy has 1 term, and 15 - x2 has two terms. As already mentioned, a polynomial with 1 term is a monomial. A polynomial with two terms is a binomial, and a polynomial with three terms is a trinomial.

Step-by-step explanation:

Memorial Stadium has worked with the same advertising company for 10 years. According to the company's data the stadium has spent approximately $2.5 million on advertising over that period for 100 events. If the patrons to all of these events numbered 18.5 million, what is the ratio of patrons to advertising dollars?

Answers

Answer:

7.4:1

Step-by-step explanation:

The rate of patrons to advertising dollar is7.4 patrons per dollar.

What is rate?

A rate is a comparison between two quantities that's calculated by dividing one quantum by the other. The quotient a/ b is appertained to as the rate between a and b if a and b are two values of the same kind and with the same units, similar that b isn't equal to 0. rates are represented by the colon symbol(). As a result, the rate a/ b has no units and is represented by the memorandum ab.

Given:

The colosseum has spent roughly $2.5 million on advertising over that period for 100 events.

So, the rate of patrons to advertising

= 18.5 million patrons to $2.5 million

= 18.5/2.5

= 7.4 patrons per dollar

Learn more about Ratio here:

https://brainly.com/question/13419413

#SPJ6

Mr. Patel bought his 3 friends Casio G-Shock watches for Christmas. The retail price for each watch on Amazon was $39.91. How much did he pay for all 3 watches, excluding tax?

Answers

Answer:

Mr. Patio paid $312.00 for the three watches

Step-by-step explanation:

The price of one of the Casio G-Shock watches that  Mr. Patel bought his 3 friends for Christmas is $39.91.

For Mr. Patio to have bought this watch for each of his 3 friends, we have that the cost will be multiplied by three. He is spending three times the amount he would have spent if he is buying for only a single person.

Cost = 39.91 X 3 =$312.00

Mr. Patio paid $312.00 for the three watches

Convert 56,000,000,000 from standard to scientific notation form.
Help pls

Answers

Answer:

5.6 * 10^ 10

Step-by-step explanation:

A school lunch program serves 13,000 students. The program orders 3,250 pounds of chicken for the students. Determine how many pounds of chicken each student can have.​

Answers

Answer:

0.25 or 1/4

Step-by-step explanation:

easy - 3250 pounds divided by 13000 students

everyone will get 0.25 or 1/4 of a pound of chicken

hope this helps!!

Have a nice day!

I NEED LOTS OF HELP IF U ANSWER THIS CORRECTLY I WILL GIVE YOU BRAINLYIST PLEASE PLEASE PLEASE ANSWER THIS

Answers

Which question???????????

Multiply.
(2x + 1)(3x2 + 2x)
A) 6x3 + 2x
B) 3x2 + 4x + 1
C) 6x3 + 4x2 + 2x
D) 6x3 + 7x2 + 2x

Answers

Answer:

6x^3+7x^2+2x

Step-by-step explanation:

Answer:

D) 6x³ + 7x² + 2x

Step-by-step explanation:

2x × 3x² = 6x³

2x × 2x = 4x²

1 × 3x² = 3x²

1 × 2x = 2x

Collect like terms to get

6x³ + 7x² + 2x

Hope this helps ya!

Which equation represents a line which is parallel to the line y=5/6x−7?

Answers

Answer:  The choice will be any equation where the slope is the same and the y-intercept is different.

[tex]y=\frac{5}{6}x + b[/tex]

Step-by-step explanation:  Using slope-intercept form, y = mx + b,

m is the slope, b is the y-intercept.

Parallel lines will have the same slope.

So, you are looking for another equation that has 5/6 as the coefficient of x.

It could be an equation in the form 6y + 5x = _b_ where the constant, b, could be anything except -42, as that would be an identical line, not parallel.

You want to purchase a book that costs $12.99. If there is a 5.5% sales tax, what will the total cost of the book be with tax?

Answers

the answer is $13.70

Sissy wants to enlarge a picture of a princess so that she can put it on the wall in her daughter’s room. What will be the area of the enlarged picture on the wall?

24 in.2
108 in.2
224 in.2
486 in.2

Answers

Answer:

The answer is D on edge.

Step-by-step explanation:

Burgers are sold in packs of 6

Buns are sold in packs of 10

Liam wants to buy the same number of burgers and buns.

Work out the smallest number of packs of each items he could bu

Answers

Answer:

Liam would have to buy five packs of burgers and three packs of buns

Step-by-step explanation:

Buns- 10 x 3 = 30

Hamburgers- 6 x 5 = 30

Answer:

six

Step-by-step explanation:

It's six because the burgers are only six and buns are ten,he also wants all to be equal so he would vu six of each of the items

A bag of marbles comes with 3 blue marbles, 2 red marbles, and 5 yellow marbles. What is the ratio of red to yellow?

Answers

Answer:

2:5

Step-by-step explanation:

Total marbles: 10

red: 2

yellow: 5

2:5

A large cruise ship has 7,436,000 cubic feet of cargo space. Express this
number in scientific notation

Answers

usjakkakakakkabsnsnsns

Answer:

7.436  ×  10 ^6

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Hope this helps!

Please mark me as Brainliest!

what is 7,5 and move 7 units left and 5 units down

Answers

The answer would be (0,0)

Small 20 caps $180.00
Medium 32 caps $270.00
Large 50 caps $360.00
The chart shows the price of baseball caps for different pack sizes. Coach Lewis will buy the medium size pack of caps. About how much will each cap cost? Write an equation to model the problem.

Answers

Each cap would be about $8.44. Equation to model this problem is 270/x=y or c for caps

I need help on Finding the base and height ​

Answers

Answer:

The 1st one

Step-by-step explanation:

Because it is a right triangle you can see that by the 90* box next to the height and if you turn it over a little you can tell that it is the 1st one.

____________________________________________________________-HOPE THIS HELPS!!!!!!!!!!!!!!!!!!!!!!!!!

I need help please thanks guys

Answers

You can cut 10 pieces of yarn from that

BRAINLEST and thanks!!

Answers

Answer:

X=0.500

Step-by-step explanation:

maths

what is the area of the figure below
A: 88in2
B: 48 in2
C: 68 in2
B:43in2

Answers

Answer:

The correct answer is C, 68in².

Answer:

68

Step-by-step explanation:

The are of the  square is 3*3 = 9

Since we have two squares we need to mulitply by 2

9*2 = 18 is the total area of the squares

if you draw a line from the one square to the other you make a rectangle in the middle

the are of the rectangle is 10*3 which is 30

Two triangle has appared as we draw the line from one square to the other square.

The height of the traingle is (7 - 3)/2 which is 2

(2*10) / 2 =  which is 10

Since we have 2 triangle we get result as 2*10 = 20

20+30+18 = 68

Other Questions
help now please i need help Click the picture please Write the equation of the line The illegal smuggling (transporting/sneaking in) of alcohol during Prohibition was called: How many solutions does the equation 4x + 8 = -2 - 2 + 5x have? (5 points)TwoOneNoneInfinitely many 1. Read the following quotation from the excerpt above and decide if it contains explicit evidence: I suppose that there will be no question of fact, substantially, in the case when all of the evidence is out, and it will be for you to decide under the charge of his honor, the Judge, whether or not the defendant committed the offense of voting for a representative in Congress upon that occasion.A. This statement contains no explicit evidence because the lawyer uses the words "whether or not," showing that this statement is implied rather than verified.B. This statement contains explicit evidence because the lawyer uses the phrase "defendant committed the offense."C. This statement contains no explicit evidence because the lawyer is presenting his opinion.D. Both A and C2.Read the following quotation from the excerpt above and decide if it contains explicit evidence: But we do claim that upon the 5th of November, 1872, she voted, and whether she believed that she had a right to vote or not, it being a question of law, that she is within the Statute."A. This statement contains explicit evidence because it states a verifiable fact.B. This statement contains explicit evidence because it includes a date and an action.C. This statement contains no explicit evidence.D. Both A and B4. Read the following quotation from the excerpt above and decide if it contains explicit evidence: "We think, on the part of the Government, that there is no question about it either one way or the other, neither a question of fact, nor a question of law..."A. This statement contains explicit evidence because it mentions the government.B. This statement contains explicit evidence because it mentions the law.C. This statement contains no explicit evidence.D. Both A and B5. Read the following quotation from the excerpt above and decide if it contains explicit evidence: The question in this case, if there be a question of fact about it at all, will, in my judgment, be rather a question of law than one of fact.A. This statement contains explicit evidence because it states a verifiable fact.C. This statement contains no explicit evidence. What's the background and roles for ENGO? Genetic engineering involves _______ to achieve desired results. a. enzyme production b. modifying products and processes c. changing one organism into another d. introducing traits into organisms Please select the best answer from the choices provided A B C D Simplify 12x^7y^3 divided by 6x^3y A steel beam is rotated in a horizontal plane to provide the centripetal acceleration for training pilots. If the pilot sits 2.19 m from the center of rotation, at what speed must he rotate in order to experience a horizontal centripetal acceleration of 65.8 m/s/s? water flows from a faucet at a constant rate. Kian measures 8 cups of water in 6 second s. What is the constant proportionality for the relationship of cups of water to minutes Mrs. Smith gives a group of students with a list of five different transformations of Triangle 3 todraw as follows: 1. Transform Triangle 3 into Triangle 4 by rotating 90 counterclockwise around thepoint (1,1) Paula is the student council member responsible for planning an outdoor student dinner dance. Plans includehiring a band and buying and serving dinner. She wants to keep the ticket price as low as possible to encouragestudent attendance while still covering the cost of the band and the food.1.) Band A charges $700 to play for the evening and Band B charges $550 plus $1.50 per student.a. Write a system of equations to represent the costs of the two bands. Use y for total cost and use x fornumber of students. plez help last question What are advantages of taking daily measurements? A series of articles were written in order to persuade the states to ratify the constituionA. Articles of ConfederationB. Declaration of IndependenceC. Federalist PapersD. James Madison Choose the correct demonstrative adjective for the noun libros. A. EstaB. EsteC. Estas D. Estos which is equivalent to 2:3?1/24/612/1320/25 what is the opposite -2/5 a savings account earns 8% interest each year, compounded quarterly (4 times a year). If a person invests $100 and makes no further deposits or withdrawals, what is the balance in the account after 3 years?