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? (2 points)

2. On days 1 and 2 how much blue paint did Marc use? How much yellow paint? (2 points)

3. How many cans of each type of paint does Marc have left for day 3? (3 points)

4. Day 3's mixture must use the same simplified ratio of blue to yellow as the other two days. What is the greatest number of cans of blue and yellow paint Marc can mix on day 3? Assume he mixes only whole cans of paint. (3 points) HELP

Answer:

$396.84

Step-by-step explanation:

To solve for this question, we can use the formula:

Cost of Paint per Gallon × Amount of Paint needed in Gallons

Cost = $29.95 per gallon x 13.25 gallon

= $396.84 (Rounded off to 2 decimal places)

Answer:

$396.84

Step-by-step explanation:

We can set up this equation

29.95*13.25

Multiply

396.8375

Round

$396.84

The single power that is equivalent (4³)² to is 4^6.

This is a term in mathematics to refer to the exponents. The given expression is four to the power of three all to the power of two. Exponents helps to represent equations and makes it easier to remember  and handle.

Given data

(4³)²

This could be solved using the laws of indices

(4³)² =  4³ * 4²

4³ * 4² = 4³ *² = 4^6

Hence we can say that the single power that is equivalent (4³)² to is 4^6.

base = 4

power = 6

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Answer:

You can multiply 10 to get each place value 9 x 10 = 90

90 x 10 = 9000

9000 x 10 = 90,000

Step-by-step explanation:

Sorry if it doesn't help

The total cost of wallpaper is $4 per square foot as calculated from the surface area of the rectangular prism.

The total surface area is the total area of all the surfaces of an object. The surface area is calculated by the area of the surface in the form of the 2 dimensional representation.

Here the box is in the form of an rectangular prism , which means that the box is in the form of a cuboid.

From the figure we can see that the dimensions of the box are :

length = 6 feet

width = 5 feet

height = 3 feet

We know that the total surface area of a rectangular prism is given by:

2×(length × width + width  ×height + height × length)

or, 2 × (6×5 + 5×3 + 3×6)

or, 126 ft²

Now the total cost for wallpaper is $504 .

Now to calculate the cost per square feet we will divide the total money by the total surface area.

∴Cost of the wallpaper per square foot=$(504÷ 126) per ft² = $4 per ft²

Hence the cost of the wallpaper is $ 4 per ft² .

Disclaimer: The figure of the prism is attached below.

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Answer: y=6x−8

Step-by-step explanation:

The length of the line segment FG is equal to 4.

A line segment in geometry is a section of a straight line that is enclosed by two clearly defined endpoints and contains all of the points on the line that lies inside those endpoints. The Euclidean distance between two ends of a line segment determines its length.

Consider a line segment EG,

Let's say F is a point on the line segment.

Then,

Now we have,

The length of the line segment EG = 19 and the length of the line segment EF = 15.

Now,

EG = EF + FG

Subtracting EF from each side,

EG - EF = EF + FG - EF

FG = EG - EF

Substituting the values of EF and EG in the above equation,

FG = 19 - 15

FG = 4

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Answer:

4

Step-by-step explanation:

19-15=4

Using division of polynomials, the equation of the slant asymptote of the rational function is given by:

y = 2x - 3.

Suppose a rational function given by a division of two functions, as follows:

r(x) = f(x)/g(x).

The slant asymptote of the function is nothing more than the quotient of functions f(x) and g(x), that is, the division of functions f(x) and g(x).

For this problem, the function is:

r(x) = (10x³ - 15x² + x - 1)/(5x² - 1).

Hence:

Using a calculator, the division of these two functions is:

y = 2x - 3 + (3x - 4)/(5x² - 1)

3x - 4 is the remainder, but we consider only the quotient, hence the equation of the slant asymptote of the rational function is given by:

y = 2x - 3.

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Answer: n=18

Step-by-step explanation:

f(n) = -3(n - 1); -51

-51=-3(n - 1)

-51/(-3)=-3(n - 1)/(-3)

n-1=17

n+1-1=17+1

n=17+1

n=18

The required intersection would be at the point (55, 460) in the given graph which shows a round of golf is 55 and a total cost is $460.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

We have been given that the graph represents the following situation.

Golfers must first pay a $75 membership fee and an additional $7 for each round of golf in order to play at Gulf Shores Range.

Golfers at the Royal Estates Country Club pay $5 for each game of golf, but membership costs $185.

Since the x-axis represents a round of golf and the y-axis represents a total cost.

According to the graph,

Here is a round of golf = 55 and a total cost = $460

So the intersection represents this situation at the point (55, 460).

Therefore, the required intersection would be at the point (55, 460) in the given graph.

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The value of ST is 21

Note that line S, U and T are points in a line segment

From the information given, we have that;

ST = TU

Where;

Substitute the values into the equation

3x + 3 = 2x + 9

collect like terms

3x - 2x = 9 - 3

Subtract like terms

x = 6

But we have that ST = 3x + 3 = 3(6) + 3 = 18 + 3 = 21

Thus, the value of ST is 21

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The inequality stated may be expressed as 2m - 5/4 ≤ 7/8.

There are four sorts of inequality.

A < B means that A is less than B.

A > B means a is greater than B.

A ≥ B, a is bigger than or equal b.

A ≤ B, a is less than or equal.

In light of the posed query

The maximum difference between two numbers, m and 5/4, is equivalent to an inequality of the form 2m - 5/4 < 7/8.

The difference between two numbers, "m," and 5/4 is 2m - 5/4, which can only represent "less than" or "equal to."

∴ The formula for the given statement is 2m - 5/4 < 7/8.

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Answer:

64.8

Step-by-step explanation:

    64.8      

5/ 324.0

  -30    

     24  

   -20  

       40

     -40  

         0

Answer:

8

Step-by-step explanation:

[tex]g(x)=3^2+2x-4=5+2x \\ \\ g(1.5)=5+2(1.5)=8[/tex]

Answer: 9,452,599

Step-by-step explanation:

it is the closest number to the 100th place without going into decimals

The length of the interval AB is 7.21 units.

Given,

From the graph we can have the triangle ABC.

Length of side AC = 6 - 2 = 4 units

Length of side BC = 7 - 1 = 6 units

We have to find the length of AB.

By using Pythagorean theorem we can determine the length of AB.

Hypotenuse² = Altitude² + Base²

AB² = AC² + BC²

AB² = 4² + 6²

AB² = 16 + 36

AB² = 52

AB = [tex]\sqrt{52}[/tex] = 7.21

That is, the length of the interval AB is 7.21 units.

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The equation is [360.99 = (x - 0.10x)] and the cost of the furniture before the discount and tax is ​$ 401.1

As per the question statement, a furniture store has a sale offering ​10% discount on all furniture, and Amanda spent ​$360.99 on furniture before​ tax.

We are required to determine the equation using which, we can calculate the price of the furniture before the discount and tax, and also the price of the furniture before the discount and tax.

So, let us assume that the original cost of the furniture (before the discount and tax) is "x".

As per the question statement, Amanda spent ​$360.99 on furniture before​ tax, but with the discount applied over the original cost of the furniture, i.e.,

We can form a linear equation with the assumed variable "x" and the condition mentioned above, and solve the equation to obtain our required answer.

360.99= [x-(10/100*x)}

0r 360.99=(x-x/10)

or 360.99=(10x-x)/10

or 360.99=9x/10

x=401.1

Hence, the equation is [360.99 = (x - 0.10x)] and the cost of the furniture before the discount and tax is ​$ 401.1

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Internet users worldwide spent an average of 147 minutes per day on social media as of 2022, up from 145 minutes the year before.

Currently, the Philippines is the nation where people spend the most time on social media each day, with an average of three hours and 53 minutes each day. In contrast, Americans only spent two hours, and three minutes every day on social media.

The collection, description, analysis, and drawing of conclusions from numerical data are all tasks that fall under the purview of statistics, a subfield of applied mathematics. Calculus, specifically differential and integral calculus, as well as linear algebra and probability theory, are key components of the mathematical ideas that underpin statistics.

Hence, People typically use social media for 147 minutes every day, or two hours and 27 minutes.

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Answer:

89.3220338983

Step-by-step explanation:

good luck

Answer:

5 1/3

Step-by-step explanation:

Apply +133.3% to the sides

The answer is (-4,3)

The reason is because you move -4 steps to the left. and 3 steps upward to get to G.

Mark me Brainliest. :)

Answer:

[tex]$ \left \{ {{y= 2250 + 75x} \atop {y=2750 + 25x}} \right. $[/tex]

If Kayla's team wins 10 games on each team, she would be paid the same amount.

Step-by-step explanation:

Hello!

Let the amount of money earned be y, and the number of games they win be x.

For the Lady Falcons, the equation would be y = 2250 + 75x.

For the Lady Hornets, the equation would be y = 2750 + 25x.

The system would be [tex]\left \{ {{y= 2250 + 75x} \atop {y=2750 + 25x}} \right.[/tex].

_______________________________________________________

The question says not to solve, but we are going to solve it anyway for practice.

If Kayla's team wins 10 games on each team, she would be paid the same amount.

So the x of the vertex is -b/2a which is -6/-2 which is 3. -2*9+6*3+12 is 18+18+12 so the vertex is (3, 48). The vertical intercept is 12.

Answer:

7/9=.77 infinite

1/3=.33 infinite

so

7/9-1/3=0.4444444 infinite

Step-by-step explanation:

From the given stem-and-leaf plot, we have that:

a) The maximum number of cups of coffee sold on a single day is of 78.

b) In 5 days, less than 60 cups were sold.

c) The average sales is of 65 cups of coffee a day.

The questions are missing, and they are given by the image at the end of the answer.

The stem-and-leaf plot lists all the measures in a data-set, with the first number as the key, for example:

4|5 = 45.

Considering the key in this problem, the measures(number of cups of coffee sold each day) are given as follows:

50, 52, 58, 59, 60, 63, 63, 65, 69, 69, 72, 75, 77, 78.

Hence:

a) The maximum number of cups of coffee sold on a single day is of 78.

b) In 5 days, less than 60 cups were sold.

The average of a data-set is given by the sum of all observations in the data-set divided by the number of observations, hence:

M = (50 + 52 + 58 + 59 + 60 + 63 + 63 + 65 + 69 + 69 + 72 + 75 + 77 + 78)/14 = 65.

The average sales is of 65 cups of coffee a day.

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Answer: Santiago will need 9 teaspoons of baking soda.

Step-by-step explanation:

Convert 3/4 into a decimal (You don't have to. It just makes it a little easier).

3/4 = 0.75

12 * 0.75 = 9