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nikklg [1K]
2 years ago
13

A mixture contains 40oz of glycol and water, and it is 10% glycol. The mixture is to be strengthened to 25% by adding glycol. Ho

w much glycol is in the original mixture?
Mathematics
1 answer:
Mazyrski [523]2 years ago
5 0
I found 50, making a rule of three where
 40__10
  x___25

x=10
 40+10= 50
( I hope I'm right, but from what I understand this would be the resolution)



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Mr peterson will buy 80 feet of fencing. The pieces of fence come in whole numbers of feet. His enclosure will be a rectangle an
DIA [1.3K]
The perimeter is:
 P = 2x + 2y = 80
 The area is:
 A = x * y
 The area as a function of a variable is:
 A (x) = x * (40-x)
 Rewriting we have:
 A (x) = 40x-x ^ 2
 We derive the function:
 A '(x) = 40-2x
 We equal zero and clear x:
 40-2x = 0
 2x = 40
 x = 40/2
 x = 20 feet
 The other dimension is:
 y = 40 - x
 y = 40 - 20
 y = 20 feet
 The area will be:
 A = x * y
 A = 20 * 20
 A = 400 feet ^ 2
 Answer:
 
The dimensions are:
 
x = 20 feet
 
y = 20 feet
 
The area is:
 
A = 400 feet ^ 2
5 0
3 years ago
Helppppp plsss!!!!!!!!!!!
bagirrra123 [75]

Answer:

22 inch is the diameter because d =2r

8 0
2 years ago
A radioactive substance has a continuous decay rate of 0.056 per minute. How many grams of a 120 gram sample will remain radioac
sammy [17]

Answer:

The mass of the radioactive sample after 40 minutes is 12.8 g.

Step-by-step explanation:

The mass of the sample can be found by using the exponential decay equation:

N_{t} = N_{0}e^{-\lambda t}

Where:

N(t): is the amount of the sample at time t =?

N₀: is the initial quantity of the sample = 120 g

t = 40 min

λ: is the decay constant =  0.056 min⁻¹

Hence, the mass of the sample after 40 min is:

N_{t} = N_{0}e^{-\lambda t} = 120g*e^{-0.056min^{-1}*40 min} = 12.8 g

     

Therefore, the mass of the radioactive sample after 40 minutes is 12.8 g.

I hope it helps you!

5 0
3 years ago
How do I know what the circle and triangle equal to?
Brrunno [24]

Answer:

circle= 5, triangle= 3

Step-by-step explanation:

Please see attached picture for full solution.

8 0
2 years ago
Find the coordinates of the image of a triangle with vertices A(0, – 3), B(3, 0), and
lora16 [44]

Answer:

A'(-3,0), B'(0,-3) and C'(4,7)

Step-by-step explanation:

We are given that the vertices of triangle are A(0,-3), B(3,0) and C(-7,4).

We have to find the coordinates of the image of triangle under a rotation of 90° clockwise about the origin.

90° clockwise about the origin

Rule:(x,y)\rightarrow (y,-x)

Using the rule

The coordinates of A'

A(0,-3)\rightarrow A'(-3,0)

The coordinates of B'

B(3,0)\rightarrow B'(0,-3)

The coordinates of C'

C(-7,4)\rightarrow C'(4,7)

Hence, the vertices of image of triangle is given by

A'(-3,0), B'(0,-3) and C'(4,7)

8 0
2 years ago
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