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lutik1710 [3]
3 years ago
5

the area of a rectangle with width x and length 7x is 7x^2 what does the coefficient 7 mean in terms of the problem

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
7 0
Area of figure is the total number of 1 square unit in the figure. For a rectangle, it is calculated from the product of its length and its width. For this case, we are given:

Width = x 
Length = 7x
Area = x(7x) = 7x^2

The coefficient 7 would mean that the length is 7 times longer than the width, x.
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r. Yi buys vegetables at a market. He purchases 6 pounds of potatoes, p, and 3 pounds of onions, n, for $18. Onions cost twice a
ad-work [718]

Answer:

  • The equation 2n = p should be 2p = n.
  • The actual cost of the onions is $3.00 per pound.
  • Potatoes cost $1.50 per pound.

Step-by-step explanation:

The wording "onions cost twice as much as potatoes" is understood to mean the cost per pound of onions (n) is equal to two times the cost per pound of potatoes (2p). Then the appropriate equation would be ...

  2p = n

Then the solution is ...

  6p +3(2p) = 18

  12p = 18

  p = 18/12 = 1.50

  n = 2p = 2(1.50) = 3.00

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The equation should be 2p = n; onions cost $3.00 per pound; potatoes cost $1.50 per pound.

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3 years ago
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3 years ago
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an iron rod of length 7 upon 8 m was cut into two pieces one piece is 1 upon 7 m long what is the length of the other piece.​
bixtya [17]

Answer:

other: \frac{41}{56}

Step-by-step explanation:

\frac{7}{8} =\frac{1}{7} + x\\=> x= \frac{7}{8} - \frac{1}{7} \\=> x= \frac{49}{56} - \frac{8}{56} \\=> x= \frac{41}{56}

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2 years ago
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3 years ago
If f(x, y) = xy, find the gradient vector ∇f(2, 5) and use it to find the tangent line to the level curve f(x, y) = 10 at the po
hammer [34]

Answer:

Step-by-step explanation:

check attachment

f(x,y)=xy       Δf(2,5)

fx=y = 5

fy=x = 2

Gradient Vector:

<5,2>

Tangent Vector:

0=fx(x-2) + fy(y-5)

0=5(x-3) + 2(y-2)

11=5x+2y

8 0
3 years ago
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