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kvasek [131]
3 years ago
14

How do i solve x/8=3/4

Mathematics
1 answer:
dusya [7]3 years ago
5 0

Answer:

Quite simply. The answer is X=6

Since you have a full fraction, you can find a common denominator in both fractions and multiply. (The common denominator would be 8, so you would multiply 4 by 2 to get 8. Do the same thing to the top, do multiply 3 by 2 to get 6). Now the fraction is 6/8, and since it's equal to incomplete fraction, you know X is 6.

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4-inch by 6-inch what is the width of 15 inches for a ratio table
quester [9]

This is a ratio problem; the ratio of the length to width is constant (and therefore equal):

4 /6 = 15 / x

Now, with a ratio, we may do any allowable algebra operation: cross-multiply, invert both sides, multiply or divide both sides by the same amount, etc.

Let's cross-multiply:

4x = (15)(6)

x = 90/4

x = 22.5 in.

3 0
3 years ago
A cylinder shaped can needs to be constructed to hold 600 cubic centimeters of soup. The material for the sides of the can costs
PSYCHO15rus [73]

Answer:

the dimensions that minimize the cost of the cylinder are R= 3.85 cm and L=12.88 cm

Step-by-step explanation:

since the volume of a cylinder is

V= π*R²*L → L =V/ (π*R²)

the cost function is

Cost = cost of side material * side area  + cost of top and bottom material * top and bottom area

C = a* 2*π*R*L + b* 2*π*R²

replacing the value of L

C = a* 2*π*R* V/ (π*R²) + b* 2*π*R²  = a* 2*V/R + b* 2*π*R²

then the optimal radius for minimum cost can be found when the derivative of the cost with respect to the radius equals 0 , then

dC/dR = -2*a*V/R² + 4*π*b*R = 0

4*π*b*R = 2*a*V/R²

R³ = a*V/(2*π*b)

R=  ∛( a*V/(2*π*b))

replacing values

R=  ∛( a*V/(2*π*b)) = ∛(0.03$/cm² * 600 cm³ /(2*π* 0.05$/cm²) )= 3.85 cm

then

L =V/ (π*R²) = 600 cm³/(π*(3.85 cm)²) = 12.88 cm

therefore the dimensions that minimize the cost of the cylinder are R= 3.85 cm and L=12.88 cm

5 0
4 years ago
What is the slope of the line that passes through the points (6, 7) and (16,22)??? i have been
Stolb23 [73]

Answer:

1.5

Step-by-step explanation:

picture

5 0
3 years ago
I need help finding the lateral area and surface area of this cylinder but I have to leave π in my answer. Can anyone help?
Pani-rosa [81]
The lateral surface of a cylinder can be found with the equation 

A = 2 π r h          Substitute in your values.
A = 2 π (11) (7)   Multiply 11 and 7.
A = 2 π (77)        Multiply 77 and 2.
A = 154π            Don't simplify anymore so you can keep pi in the answer.

The surface are uses the equation
 
A = 2 π r h + 2 π r²               Substitute in your values.
A = 2 π (11) (7) + 2 π (11)²   Simplify and multiply your terms.
A = 2 π (77) + 2 π (11)²
A = 154 π + 2 π (11)²
A = 154 π + 2 π (121)
A = 154 π + 242 π                Since both terms are in terms of pi, you can                                                 combine them.
A = 396π                              Stop simplifying to leave the answer in terms                                               of pi.



8 0
3 years ago
Y – 9 =1/5 (x - 2)<br> What is the slope of this line?
Gwar [14]
B because it is creating it
With would be 3.4
4 0
3 years ago
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