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lyudmila [28]
3 years ago
13

to dilute a concentrated liquid fabric softener, the directions state to mix 3 cups of water with 1 cup of concentrated liquid.

how many gallons of water will you need to make 6 gallons of diluted fabric softener?
Mathematics
1 answer:
lozanna [386]3 years ago
4 0
1 gallon=16 cups 
6 gallons = 96 cups 

Notice the ratio between water to concentrated liquid= 3:1 

x:96 
x=288 cups of water required 

288/16=18 gallons 

Hope I helped :) 
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Explain number 5 please
Burka [1]
The answer to your question would be B.
I hope this helped:D

7 0
3 years ago
Evaluate the integral Integral ∫ from (1,2,3 ) to (5, 7,-2 ) y dx + x dy + 4 dz by finding parametric equations for the line seg
n200080 [17]

\vec F(x,y,z)=y\,\vec\imath+x\,\vec\jmath+3\,\vec k

is conservative if there is a scalar function f(x,y,z) such that \nabla f=\vec F. This would require

\dfrac{\partial f}{\partial x}=y

\dfrac{\partial f}{\partial y}=x

\dfrac{\partial f}{\partial z}=3

(or perhaps the last partial derivative should be 4 to match up with the integral?)

From these equations we find

f(x,y,z)=xy+g(y,z)

\dfrac{\partial f}{\partial y}=x=x+\dfrac{\partial g}{\partial y}\implies\dfrac{\partial g}{\partial y}=0\implies g(y,z)=h(z)

f(x,y,z)=xy+h(z)

\dfrac{\partial f}{\partial z}=3=\dfrac{\mathrm dh}{\mathrm dz}\implies h(z)=3z+C

f(x,y,z)=xy+3z+C

so \vec F is indeed conservative, and the gradient theorem (a.k.a. fundamental theorem of calculus for line integrals) applies. The value of the line integral depends only the endpoints:

\displaystyle\int_{(1,2,3)}^{(5,7,-2)}y\,\mathrm dx+x\,\mathrm dy+3\,\mathrm dz=\int_{(1,2,3)}^{(5,7,-2)}\nabla f(x,y,z)\cdot\mathrm d\vec r

=f(5,7,-2)-f(1,2,3)=\boxed{18}

8 0
3 years ago
On a certain hot​ summer's day, 581 people used the public swimming pool. The daily prices are $1.50 for children and $2.50 for
Tanya [424]

Answer:

A = 219

C = 362

Step-by-step explanation:

Given,

581 = C + A

and

$1090.50 = 1.5C + 2.5A

solve 1st for A

A =581 - C

substute into 2nd

1090.50 = 1.5C + 2.5(581 - C)

solve for C

1090.50 = 1.5C + 1452.50 - 2.5C

1090.50 = -C + 1452.50

1090.50 - 1452.50 = -C

-362 = -C

C = 362

then

581 = C + A

581 = 362 + A

219 = A

A = 219

8 0
2 years ago
6(−2g−1)=−(13g+2) Solve for g
san4es73 [151]

Answer:

The solution is g = 4

Step-by-step explanation:

* 6(-2g - 1) = -(13g + 2)

- We need to solve it to find the value of g

- Let us simplify each side and then solve the equation

∵ 6(-2g - 1) = (6)(-2g) - (6)(1)

∴ 6(-2g - 1) = -12g - 6

∴ The simplify of 6(-2g - 1) is -12g - 6 ⇒ (1)

∵ -(13g + 2) = -13g - 2

∴ The simplify of  -(13g + 2) is -13g - 2 ⇒ (2)

- Equate (1) and (2)

∴ -12g - 6 = -13g - 2

- Add 13g to both sides

∴ g - 6 = - 2

- Add 6 to both sides

∴ g = 4

* The solution is g = 4

5 0
2 years ago
Read 2 more answers
Subject:Mathematics ​
posledela

Answer:

x=28°

Step-by-step explanation:

2x+3x-10+50=180

5x+40=180

5x=180-40

5x=140

x=140/5

x=28°

3 0
2 years ago
Read 2 more answers
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