MATHEMATICS MIDDLE SCHOOL

Adams puts 3/4 of a bag of pens in 3 boxes. If he opens the boxes one by one, how many pens will be in each box

Answers

Answer 1

Answer:

The number of pens in each bag if Adams puts 3/4 of a bag of pens in 3 boxes is $(1)/(4)$ of a bag.

Given that:

Adams puts a fraction of $(3)/(4)$ of a bag of pens in 3 boxes.

It is required to find the number of pens in each box.

Total number of a fraction of pens available = $(3)/(4)$ of a bag

These pens are equally distributed among 3 boxes.

So, each box will have an equal number of pens.

So, the number of pens in each box is:

$n=(3)/(4) /3$

Take the reciprocal of the second number and the operation becomes multiplication.

$n=(3)/(4) *(1)/(3)$

$=(1)/(4)$

Hence, the number of pens in each box is $(1)/(4)$ of a bag.

Learn more about Fractions here :

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Answer 2

Answer: You need more information for this question... such as how much pens were in the bag

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Tabitha is raising rabbits to sell during the spring she has 16 rabbits and feeds them each one half cup of carrots every morning the bag of carrots She bought completely filled a five gallon plastic barrel how many days will it last

Answers

It will last 24 days. If you think, a gallon has 16 cups.
So...
in total there are,
cups = 16
half cups = 8
so 16 + 8 = 24

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Write a related multiplication sentence that could help you find the quotient of 6 divided by 1/4

Answers

wow its the easy-to-use prob

On a bike trip across the United States Rodney notes that he covers about 190 miles every 4 days. If he continues at this rate use a ratio table to determine about how many miles he could bike in 6 days

Answers

4-190 190 divided by 4 is 47.5, so Rodney travels 47.5 miles per day. if Rodney travel 190 miles in 4 days, at 47.5 miles to 190 to find out how far he would travel in 5 days. 190+47.5= 237.5 ---------------------------- day #4-190 miles day #5-237.5 miles day #6-285 miles

What could cause the graph to be misleading?

Answers

What could cause the graph to be miss leading because on the first week they worked zero hours but then for the second week they worked for eight hours but then soon on the third week they worked for four hours then on the fourth week they worked for sixteen hours.

The composite figures below are made of right prisms.Note: figures not drawn to scale.

Place the figures in order from least surface area to greatest surface area.

Answers

Answer:

Figure 1's surface area: 550 $feet^2$

Figure 2's surface area: 530 $feet^2$

Figure 3's surface area: 790 $feet^2$

So, the order of the figures' surface areas is: Figure 2 < Figure 1 < Figure 3.

Step-by-step explanation:

Bearing in mind that the surface area of a 3D object is the total area of its surface (that is the sum of the areas of its faces), we can count the number of distinct shapes in each figure, calculate their areas and add them up. Be careful not to add the faces that are "inside".

Figure 1

Its surface area consists of 13 squares of 5x5 $feet^2$ and 3 rectangles of 15x5 $feet^2$ . So, its surface area is (13x25 + 3x75) $feet^2 = 550feet^2$

Figure 2

Its surface area consists of 6 squares of 5x5 $feet^2$ , 3 rectangles of 17x5 $feet^2$ , 1 rectangle of 13x5 $feet^2$ and 2 triangles of base 12 feet and height 5 feet. So, its surface area is (17x5x3+6x5x5+13x5+12x5x2:2) $feet^2 = 530feet^2$

Figure 3

Its surface area consists of 2 rectangles of 12.5x5 $feet^2$ , 1 rectangle of 11x5 $feet^2$ , 2 triangles of base 12 feet and height 5 feet, 1 rectangle of 11x13 $feet^2$ , 2 rectangles of 12.5x11 $feet^2$ and 1 rectangle of 12x11 $feet^2$ .

So, its surface area is (2x12.5x5+11x5+2x12x5:2+11x13+2x12.5x11+12x11) $feet^2 = 790feet^2$

Answer:

Least surface area to greatest surface area:

Blue - Red - Green

Step-by-step explanation:

All the surfaces of the shapes are rectangles, then their surface is computed as:

Surface = Length*Width

Blue figure

Area of the top:

5*5 + 5*5 + 5*5 + 5*5 + 5*5 = 125 ft^2

Area of the sides:

2*(5*10) = 100 ft^2

Area of the bottom:

10*5 = 50 ft^2

Area of the front and the back

2*(5*5 + 15*5) = 200 ft^2

Total: 125 + 100 + 50 + 200 = 475 ft^2

Red figure

Area of the top:

5*5 + 13*5 = 90 ft^2

Area of the left side:

5*10 = 50 ft^2

Area of the right side:

5*5 = 25 ft^2

Area of the bottom:

17*5 = 85 ft^2

Area of the front and the back:

2*(17*5 + 12*5/2 + 5*5) = 280 ft^2

Total: 90 + 50 + 25 + 85 + 280 = 530 ft^2

Green figure

Area of the top:

12.5*11 + 13*11 = 280.5 ft^2

Area of the left side:

11*5 = 55 ft^2

Area of the bottom:

(12.5+12)*11 = 269.5 ft^2

Area of the front and the back:

2*(12.5*5 + 12*5/2) = 185 ft^2

Total: 280.5 + 55 + 269.5 + 185 = 790 ft^2

Absolute Value
8+|3y - 5|=15

Answers

minus 8 oth sides
|3y-5|=7

assume that if you have
|x|=y
assume
x=y and x=-y are 2 solutions

3x-5=7 and
3x-5=-7
solve

3x-5=7
3x=12
x=4

3x-5=-7
3x=-2
x=-2/3

x=4 or -2/3

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