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3 years ago

Jackson eats 1/4 part of a banana in 1/2 minute. How much time he will need to eat full banana?

1 answer:

4 0

Ignore the second fraction for a moment. say Jackson eats 1/4 of a banana every serving. how many servings would it take to eat the whole banana? 4, of course, because 4 1/4's equals one. now say that each serving is the same as 1/2 minute. Just multiply 1/2 minute by the 4 servings. 2 full minutes.

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Solve the equation:<br><br> 3x-5 = 19-x

Sindrei [870]

3x-5=19-x
3x-5-19+x=0
4x-24=0
4x=24
x=6

8 0

3 years ago

Point M is located at (7,1).

Charra [1.4K]

I think it is possibly point b

8 0

3 years ago

I WILL GIVE BRAINLIEST TO WHOEVER IS CORRECT

Ulleksa [173]

A triangle is rotated around N to give the primed version.

A. Same shape and size -- TRUE. Rotation doesn't change shape or size.

B. Corresponding points are equidistant to N. That's TRUE, each point is rotated around N to get its corresponding point, which will be the same distance from N.

C. DN=D'N. TRUE, just an example of corresponding points.

D. Corresponding side lengths unequal, FALSE. Rotation doesn't change lengths.

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4 years ago

Find the length and width of a rectangle that has the given area and a minimum perimeter. Area: 162 square feet

Gnom [1K]

Answer:

The width and length of rectangle is 12.728 m

Step-by-step explanation:

Let the length of the rectangle = L

let the width of the rectangle = W

The subjective function is given by;

F(p) = 2(L + W)

F = 2L + 2W

Area of the rectangle is given by;

A = LW

LW = 162 ft²

L = 162 / W

Substitute in the value of L into subjective function;

$f = 2l + 2w\\\\f = 2(\frac{162}{w} )+2w\\\\f = \frac{324}{w} + 2w\\\\\frac{df}{dw} = \frac{-324}{w^2} +2\\\\$

Take the second derivative of the function, to check if it will given a minimum perimeter

$\frac{d^2f}{dw^2}= \frac{648}{w^3} \\\\Thus, \frac{d^2f}{dw^2}>0, \ since,\frac{648}{w^3} >0 \ (minimum \ function \ verified)$

Determine the critical points of the first derivative;

df/dw = 0

$\frac{-324}{w^2} +2 = 0\\\\-324 + 2w^2=0\\\\2w^2 = 324\\\\w^2 = \frac{324}{2} \\\\w^2 = 162\\\\w= \sqrt{162}\\\\w = 12.728 \ m$

L = 162 / 12.728

L = 12.728 m

Therefore, the width and length of rectangle is 12.728 m

3 0

3 years ago

He statement below describes a situation in which opposite quantities combine to make zero:

kozerog [31]

False I’m pretty sure

3 0

3 years ago