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2 years ago

Tara has 4 4/5 feet of rope. Part A: How many 2/5 foot pieces can Tara cut from the feet of rope? Show your work.

Mathematics

2 answers:

kobusy [5.1K]2 years ago

8 0

Answer: 12

Step-by-step explanation:

Tara has 4 and 4 over 5 feet of rope.

Part A: How many 2 over 5 foot pieces can Tara cut from the 4 and 4 over 5 feet of rope? Show your work. (5 points)

Part B: Using the information in Part A, interpret the meaning of the quotient in terms of the two fractions given. (5 points)

professor190 [17]2 years ago

7 0

12 pieces because 4.8/.4 = 12 pieces

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A box has a volume of 192 cubic inches, a length that is twice as long as its width, and a height that is 2 inches greater than

ruslelena [56]

Answer:

Therefore the dimension of the cuboid is 8 inches×4 inches ×6 inches.

Step-by-step explanation:

Cuboid : A cuboid is a three dimension shape. The length ,breadth and height of a cuboid are not same.

A cuboid has 6 faces.
A cuboid contains 8 vertices.
A cuboid contains 12 edges .
The total surface area of a cuboid is

= 2(length×breadth+breadth×height+length×height) square units

The dimension of a cuboid is written as length×breadth×height.

The volume is( length×breadth×height) cubic units

Given that the volume of the box is 192 cubic inches.

Let x inches be the width of the cuboid.

Since the length is twice as long as its width.

Then length = 2x inches

Again height is 2 inches longer than width.

Then height = (x+2) inches.

Therefore the volume of the cuboid is

$=[x\times 2x\times (x+2)]$ cubic inches

$=[2x^2(x+2)]$ cubic inches

$=(2x^3+4x^2)$ cubic inches

According to the problem,

$2x^3+4x^2=192$

$\Rightarrow 2x^3+4x^2-192=0$

$\Rightarrow 2(x^3+2x^2-96)=0$

$\Rightarrow (x^3+2x^2-96)=0$

$\Rightarrow x^3-4x^2+6x^2-24x+24x-96=0$

$\Rightarrow x^2(x-4) +6x(x-4)+24(x-4)=0$

$\Rightarrow (x-4)(x^2+6x+24)=0$

Therefore x=4

Since the all zeros of x²+6x+24 =0 is negative.

Therefore breadth = 4 inches

length=(2×4) inches=8 inches

and height = (4+2)inches = 6 inches.

Therefore the dimension of the cuboid is 8 inches×4 inches ×6 inches.

8 0

3 years ago

A bulb can either be on or off. A board contains 20 bulbs connected to a randomization circuit that lights up a random sequence

Step2247 [10]

The chance that any given bulb is on is equal to 1/2. The chance that all twenty bulbs are on at the same time is $(\frac{1}{2}) ^{20} = \frac{1^{20}}{2^{20}} = \frac{1}{1048576}$

8 0

2 years ago

Read 2 more answers

What number can be add to <br><img src="https://tex.z-dn.net/?f=%20%7B9x%7D%5E%7B2%7D%20%20%2B%2024x" id="TexFormula1" title=" {

4vir4ik [10]

The required number will be 16

the expression will be like :

$9 {x}^{2} + 24x + 16$

$(3x) {}^{2} + (2 \times 3x \times 4) + (4) {}^{2}$

$(3x + 4) {}^{2}$

hope it helps you cap !!

Anti - Venom

5 0

3 years ago

Help will name brainliest

liberstina [14]

$\text{For angle N,}\\\\PQ= \text{Perpendicular.}\\\\QN = \text{Hypotenuse.}\\\\\text{Now,}\\\\\sin N = \dfrac{\text{Perpendicular}}{\text{Hypotenuse}}\\\\\\~~~~~~~=\dfrac{QP}{QN}$

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1 year ago

Anita sees in her nutrition book that a 7.5-ounce piece of cake has 900 calories. how many calories will she save if she takes o

Marianna [84]

$\bf \begin{array}{ccll}
\stackrel{cake}{oz}&calories\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
7.5&900\\
2.5&x
\end{array}\implies \cfrac{7.5}{2.5}=\cfrac{900}{x}\implies x=\cfrac{2.5\cdot 900}{7.5}$

so, the 2.5oz cake will be "x" calories, pheeew, she'll be taking in 900 - x less calories.

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3 years ago