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Viefleur [7K]
2 years ago
15

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.
Mathematics
1 answer:
exis [7]2 years ago
6 0

The ratio of blue paint to yellow paint is 2 : 3.

The total number of blue paint he used on the first and second day is 10.

The number of yellow paint he used on the first and second day is 15.

On the third day, the highest number of can of blue paint he can use is 2

On the third day, the highest number of can of yellow paint he can use is 3.

<h3>What is the highest number of blue and yellow paint he can use?</h3>

The ratio of blue paint to yellow paint can be determined by determining the simplest form of the paints used: 4 : 6 = 2: 3

Total blue paint cans used on the first and second day = 4 + 6 = 10

Blue paint cans remaining = 14 - 10 = 4

Total yellow paint cans used on the first and second day = 6 + 9 = 15 cans

Yellow paint cans remaining = 20 - 15 = 5 cans

Please find attached the questions. To learn more about ratios, please check: brainly.com/question/19711539

#SPJ1

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Damm [24]

Step-by-step explanation:

Case 1 :

3x + 2y = 6 \\ 4x + y = 2 \\ 3x = 6 - 2y \\ x =  \frac{6 - 2y}{3}  = \\ x = 2 -  \frac{2y}{3}  \\ 4(2 -  \frac{2y}{3} ) + y = 2 \\ 8 -  \frac{8y}{3}  + y = 2 \\  - 1.67y =  - 6 \\

y = 3.59 \\ x = 2 -  \frac{2y}{3}  \\x =  2 -  \frac{2 \times 3.59}{3}  \\  \\ x =  - 0.39

Case 2 :

3x + 2y = 6 \\ 4x  -  y = 2 \\ x = 2 -  \frac{2y}{3}  \\ 4(2 -  \frac{2y}{3} ) - y = 2 \\ 8 -  \frac{8y}{3}  - y = 2 \\   - 3.67y=  - 6 \\ y = 1.63

x = 2 -  \frac{2y}{3}  \\ x = 2 -  \frac{2 \times 1.63}{3}  \\ x = 2 - 1.087 \\ x = 0.913

7 0
3 years ago
The answers..............................
HACTEHA [7]

Answer:

DAM BROOOOO UR SCREEN.

Step-by-step explanation:

5 0
2 years ago
Find the dimensions of a deck which will have railings on only three sides. There is 28 m of railing available and the deck must
Roman55 [17]

Answer:

The largest possible area of the deck is 87.11 m² with dimensions;

Width = 9.33 m

Breadth = 9.33 m

Step-by-step explanation:

The area of a given dimension increases as the dimension covers more equidistant dimension from the center, which gives the quadrilateral with largest dimension being that of a square

Given that the railings will be placed on three sides only and the third side will cornered or left open, such that the given length of railing can be shared into three rather than four to increase the area

The length of the given railing = 28 m

The sides of the formed square area by sharing the railing into three while the fourth side is left open are then equal to 28/3 each

The area of a square of side s = s²

The largest possible area of the deck = (28/3)² = 784/9 = 87.11 m² with dimensions;

Width = 28/3 m = 9.33 m

Breadth = 28/3 m = 9.33 m.

5 0
3 years ago
If RS =14 and ST=9 ​, find RT. Use the number line below<br><br> RT=
Bingel [31]

Answer:

23

Step-by-step explanation:

RS = 14

ST = 9

That means S is in the middle of R and T because it has two line segments associated with it

RT = RS + ST

RT = 14 + 9

RT = 23

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

8 0
2 years ago
Solve for n if s = 540 Enter the value in the box.<br> 180(n − 2) = s
netineya [11]

Answer:

n = 5

Step-by-step explanation:

180(n − 2) = s

180(n − 2) = 540

180n - 360 = 540

180n - 360 + 360 = 540 + 360

180n = 900

(1/180) 180n = 900 (1/180)

n = 5

5 0
3 years ago
Read 2 more answers
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