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3 years ago

To get a particular shade of green color, Ronald, a researcher,

Mathematics

2 answers:

MAVERICK [17]3 years ago

7 0

Answer:

12 containers of water

Step-by-step explain:

AlladinOne [14]3 years ago

3 0

Answer:

Step-by-step explanation:

the data we have is:

coontainers of green dye containers of water

6 ⇒ 3

and we need to know how many containers of water he would use for 24 containers of green dye, and then sum this results to know how many containers did he used in total.

coontainers of green dye containers of water

6 ⇒ 3

24 ⇒ x

and we solve for x using rule of three: multiply cross quantities and divide by the remaining amount:

x = 24*3/6

x = 72/6

x = 12

so he used 12 containers of water for the 24 containers of green dye, which in total of containers is:

12 + 24 = 36

Answer: 36 containers in total.

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A triangle has two constant sides of length 5 feet and 7 feet. The angle between these two sides is increasing at a rate of 0.9

o-na [289]

Answer: $12.74 ft^2/s$

Step-by-step explanation:

Given

Two sides of triangle of sides 5 ft and 7 ft

and angle between them is increasing at a rate of 0.9 radians per second

let $\theta$ is the angle between them thus

Area of triangle when two sides and angle between them is given

$A=\frac{ab\sin C}{2}$

$A=\frac{5\times 7\times \sin \theta }{2}$

Differentiate w.r.t time

$\frac{\mathrm{d} A}{\mathrm{d} t}=\frac{35\cos theta }{2}\times \frac{\mathrm{d} \theta }{\mathrm{d} t}$

at $\theta =\frac{\pi }{5}$

$\frac{\mathrm{d} A}{\mathrm{d} t}=\frac{35\times cos(\frac{\pi }{5})}{2}\times 0.9$

$\frac{\mathrm{d} A}{\mathrm{d} t}=12.74 ft^2/s$

4 0

4 years ago

Solve each system by elimination. 3x - 2y = 1 2x + 2 y = 14

Paha777 [63]

Add 3 and 12 , cancel -2 y+2y and and add 14 and 14
3x-2y=14
12x+2y=14
15x=28
Divide both sides by 15
X=28/15
3x 28/15 -2y=14
Y=-21/5
(X,y)=28/15, -21/5
3x 28/15 -2x(-21/5)=12x 28/15 +2x(-21/5)=14
14=14=14
(x, y)=(28/15, -21/5) is the answer

6 0

3 years ago

assuming that each salesperson earned commission on all items he or she sold who earned the most commission

Kruka [31]

Answer:

arturo earned the ,most

Step-by-step explanation:

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3 years ago

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1+4=5<br> 2+5=12<br> 3+6=21<br> 8+11=?

Mrac [35]

Answer:40

Step-by-step explanation:

21+8=29

29+11=40

6 0

3 years ago

I really need this it's a test

faltersainse [42]

Move all terms not containing x to the right side of the equation

x=9

8 0

3 years ago