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IrinaVladis [17]
9 months 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.
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
Mathematics
2 answers:
m_a_m_a [10]9 months ago
8 0

Answer:

Step-by-step explanation:

Answer: 1. 7:10

2. 10 blue cans

15 yellow cans.

3. 4 cans of blue paint.

5 cans of yellow paint.

4. 2 blue cans and 3 yellow cans.

Step-by-step explanation:

1. 14 blue paint cans/20 yellow paint cans=

14/20=

7/10 ==> 7:10

2. 4+6 blue cans=10 blue cans

6+9 yellow cans=15 yellow cans.

3. 14-10=4 cans of blue paint.

20-15=5 cans of yellow paint.

4. 10 blue cans/15 yellow cans=

10/15=

2/3 ==> 2:3 ==> 2 blue cans and 3 yellow cans.

Murljashka [212]9 months ago
5 0

Answer: 1. 7:10

2. 10 blue cans

15 yellow cans.

3. 4 cans of blue paint.

5 cans of yellow paint.

4. 2 blue cans and 3 yellow cans.

Step-by-step explanation:

1. 14 blue paint cans/20 yellow paint cans=

14/20=

7/10 ==> 7:10

2. 4+6 blue cans=10 blue cans

6+9 yellow cans=15 yellow cans.

3. 14-10=4 cans of blue paint.

20-15=5 cans of yellow paint.

4. 10 blue cans/15 yellow cans=

10/15=

2/3 ==> 2:3 ==> 2 blue cans and 3 yellow cans.

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A tube is being stretched while maintaining its cylindrical shape. The height is increasing at the rate of 2 millimeters per sec
hoa [83]

Answer:

V = πr²h

S=2πrh

h= 2/3 millimeters

new height= 8/3 millimeters

S= 8π  millimeters square

New surface area = 32π  millimeters square

Step-by-step explanation:

The volume of the cylinder is given by V = πr²h   where r is the radius and h is the height.

The surface area of the cylinder is given by  S= 2πrh + 2πr²

Where πr² gives the area of the base and 2πr² gives the area of the top and bottom surfaces. The surface area S of a cylinder, not including the top and bottom of the cylinder, is therefore S=2πrh.

V = πr²h

96π= π (6*6) (h+2)

96 = 36 (h+2)

96/36= h+2

h= 96/36-2

h= 96-72/36

h= 24/36

h= 4/6

h= 2/3 millimeters

New height

h + 2= 2/3 + 2

= 2+6/3= 8/3 millimeters

Now S =2πrh

S = 2π(6) (2/3)

S= 8π  millimeters square

New Surface area

S = 2π(6) (8/3)

S= 32π  millimeters square

6 0
3 years ago
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Dominik [7]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
Help please please help ASAP * please don’t answer if you don’t know
Julli [10]

Answer:

Your answer is x = 24 , y =8√3

Step-by-step explanation:

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3 0
3 years ago
Find the slope of the line passing through the points (9,2) and (9,-5)
-BARSIC- [3]

Answer:

slope is undefined

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (9, 2) and (x₂, y₂ ) = (9, - 5)

m = \frac{-5-2}{9-9} = \frac{-7}{0}

Since division by zero is undefined then the slope is undefined.

This indicates that the line is vertical.

4 0
3 years ago
The ratio of the number of apples to the number of pears in a basket was 3:5. After 7more apples were added to the basket and 9
atroni [7]

Answer:

Apples = 24

Pears = 40

Step-by-step explanation:

Let u be the unit of fruit in the basket,

number of apples: 3u +7

number of pears: 5u -9

now to find u, we equate the two equations.

3u+7=5u-9

Now simplify.

5u-3u=7+9

2u=16

u=8

Now we can find the original number of apples and pears by substituting u.

so original number of apples = 3u = 3(8) = 24

and original number of pears = 5u = 5(8) = 40

5 0
3 years ago
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