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3 years ago

Brooke cooked a 4/1/3-pound lasagna in 1/1/3 hours. How many hours per pound did it take to cook the lasagna?

Mathematics

1 answer:

Hitman42 [59]3 years ago

3 0

Answer:

4/13 hours

Step-by-step explanation:

Total pounds of lasagna = 4 1/3 pounds

Total time taken to cook = 1 1/3 hours

How many hours per pound did it take to cook the lasagna?

Hours per pound of lasagna = Total time taken to cook / Total pounds of lasagna

= 1 1/3 hours ÷ 4 1/3 pounds

= 4/3 ÷ 13/3

= 4/3 × 3/13

= 4/13 hours

It will take 4/13 hours to cook each pound of the lasagna

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Find the altitude of triangle whose vertex is a(1,-2) and the equation of the base is X+y=3.

Sophie [7]

Answer:

$2\sqrt {2}$

Step-by-step explanation:

<u>Distance From a Point to a Line</u>

Given a line with an equation :

ax + by + c = 0

And the point $(x_0,y_0)$

The distance from the line to the point is given by

$\displaystyle d=\frac {|ax_{0}+by_{0}+c|}{\sqrt {a^{2}+b^{2}}}$

The triangle has a vertex at (1,-2) and the base lies on the equation

x + y = 3

Rearranging:

x + y - 3 = 0

The altitude of the triangle is the distance from the point to the line.

The values to use in the formula of the distance are: a=1, b=1, c=-3, xo=1, yo=-2:

$\displaystyle d=\frac {|1*1+1*(-2)-3|}{\sqrt {1^{2}+1^{2}}}$

$\displaystyle d=\frac {|1-2-3|}{\sqrt {2}}$

$\displaystyle d=\frac {4}{\sqrt {2}}$

Rationalizing:

$\displaystyle d=\frac {4}{\sqrt {2}}\cdot\frac{\sqrt {2}}{\sqrt {2}}$

$\displaystyle d=2\sqrt {2}$

The altitude of the triangle is $\mathbf{4\sqrt {2}}$

6 0

2 years ago

What is 5(3-12)(42-32)

laiz [17]

Answer:

-450

Step-by-step explanation:

5(3-12)(42-32)

5(-9)(10)

-45(10)

8 0

3 years ago

Read 2 more answers

89 more than the quotient of a number and 25 is 81.

agasfer [191]

X/25 + 89 = 81
x/25 = 81 - 89
x/25 = - 8
x = -8 * 25
x = - 200

The first one is true
I also believe the 3rd one is true.....u just forgot to put the " / " .

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3 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

Write each degree measure in radians round to the nearest hundredth 25 degree

dusya [7]

Answer:

To convert a degree measure into radians, you multiply it by π/180, π = 3.14 btw, so 25 * π/180 = 25*3.14/180 = 78.5/180 = 0.43633., which is 0.44 to the nearest hundredth.

Step-by-step explanation:

3 0

2 years ago