1.) Six people share 3/5 pound of peanuts equally. What fraction of a pound of peanuts does each person receive? There aren't any multiple choices. I think 10 or 18/5. 2.) If one honeybee makes 1/12 teaspoon of honey during its lifetime, how many honeybees are needed to make 1/2 teaspoon of honey?

Answers

Answer 1

Answer: $1)~ (3)/(5) * (1)/(6) =\boxed { (1)/(10) } \n \n 2)~ (1)/(2) * 12 = \boxed {6}$

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On a sketch of a mural,3 inches represents one foot in the mural. A door in the sketch is 2 inches wide by 5 inches high. What is the perimeter of the door in the mural expressed in inches?

Answers

Answer:

Length of the door, l = 5 inches (in)

Width or Breadth of the door, w = 2 inches (in)

Perimeter p = 2(l + w)

= 2( 5 + 2) inches

= 2(5) inches + 2(4) inches

= 10 inches + 4 inches

= 14 inches or 14 in

Step-by-step explanation:

The perimeter of a plane shape is the measurement of the length of its outside boundary, which means the distance around its edges.

The door in the sketch is the shape of a rectangle. the distance around the edge of the door is the sum of all the sides. The longer side of a rectangle is called the length and it is usually represented by letter l while the shorter side is known as width or breadth represented by letter w and b respectively. The perimeter is calculated by the formula 2(l + w). where l means the length and w represents the width.

Final answer:

The perimeter of the door in the mural, when expressed in inches, is approximately 56.04 inches.

Explanation:

The subject of this problem is understanding scale drawings, a mathematical concept typically covered in middle school. To solve this problem, we first find out the actual dimensions of the door on the mural. In the sketch, 3 inches represent 1 foot. So, 1 inch would represent 1/3 of a foot. Hence, a door of 2 inches wide in the sketch would in reality be2/3 of a foot wide and 5 inches high in the sketch would be 5/3 of a foot high.

The perimeter of a rectangle (which is the shape of the door) is given by the formula 2 * (length + width). In terms of feet, the perimeter of the door in the mural would be 2 * ((5/3) + (2/3)) = 4.67 feet.

Since 1 foot equals 12 inches, the perimeter of the door in the mural would be 4.67*12, which equals 56.04 inches.

Learn more about Scale Drawings here:

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Algebra find the value of x and y If you can solve any of them that would be greatt. pleasee

Answers

See the attached picture:

Is the equation x^9 – 5x^3 + 6 = 0 quadratic in form? Explain why or why not.

Answers

No, this equation is not quadratic. because the exponent of the first term is 9 while that of the second term is 3. The square of 3. If we are to square x3, we should only be getting x6 instead of x9. Therefore, the answer is NO.

this literally isn’t my answer btw

Answer: No

Step-by-step explanation:

It isn’t quadratic

What is the value 12-6•(5-3)-60

Answers

-60. Woah that confused mwah at first

Pamela spent 2/3 of an hour doing homework. she solved math problems for 2/5 of that time and read her science book for 3/5 of that time. what fraction of one hour did Pamela spendsolving math problems?

reading her science book?

Answers

4/15 or 16 minutes. She spent 40 minutes doing homework. 2/5's of 40 minutes is 16 minutes. 16/60=4/15

Final answer:

Pamela spent 4/15 of an hour solving math problems and 2/5 of an hour reading her science book.

Explanation:

To find the fraction of the hour Pamela spent on each activity, we need to multiply the fraction of the overall time she spent doing homework by the fraction of that time she spent on each specific activity.

Math: 2/3 (total homework time) * 2/5 (fraction of homework time spent on math) = 4/15 of an hour.
Science: 2/3 (total homework time) * 3/5 (fraction of homework time spent on science) = 6/15 or 2/5 of an hour.

So, Pamela spent 4/15 of an hour solving math problems and 2/5 of an hour reading her science book.

Learn more about Fractions here:

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A rectangle has an area of x square units. The rectangle is dilated to create a new rectangle with an area of 9x square units. Describe the change in the dimensions of the rectangle.-What is the scale factor used in the dilation?

-If the demsions of the original rectangle are 5 inches by 8 inches, what will be the dimensions of the new rectangle? Show your work.

Answers

The reactangle has an area of x.

So that means two numbers multiplied to each other equal to x. We can just think of itwo numbers that when multiplied equal to x as a and b.

So that means the side lengths are a and b. And ab = x (will be using this right next).

And it was multiplied by some scale factor that made the new area 9x. So if the scale factor is y, then:

$(y* a)* (y* b)=9x$
$y^2ab=9x$
$y^2x=9x$
$y=3$

y can not equal to -3, because the length of a side of any polygon can never be negative.

So the dilation is 3.

And so if the dimension is 5 by 8.

Then the area is $5 * 8=40$

And so then $x=40$

And then after the dilation, it would be $9x=9(40) = 360$

We could check it another way too. Since we said the scale factor is 3, then:

$( 5 * 3) * (8 * 3) = 15 * 24 = 360$

So basically 15 by 24 is the new dimensions :)

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