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1 year ago

Evaluate 2/3 + 3/4 +4/2. if a fraction appears as an answer, it should be in simplified form.

Mathematics

1 answer:

Sever21 [200]1 year ago

6 0

The result of the expression in the simplest form is 41/12.

<h3>What is fraction?</h3>

Fractions indicate pieces of an entire or group of objects. A fraction is made up of two components.

Some key features regarding the fraction is-

The number at the start of the line is referred to as the numerator. It specifies the number of equal sections of the whole and collection that are taken.
The denominator is the figure below the line. It displays the total numbers of equal sections into which the whole is divided or the total number of identical objects in a collection.
The initial and most common way to indicate a fraction is with a/b.
In this case, a is the numerator & b is the denominator.

Now, according to the question;

The given expression is;

= 2/3 + 3/4 +4/2

Taking L.C.M

= (4×2 + 3×3 + 6×4)/12

= 41/12

Therefore, the simplification of the expression 2/3 + 3/4 +4/2 is 41/12.

To know more about the fraction, here

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David bought 3 dvds and 4 books for $40 at a yard sale. Anna bought 1 dvd and 6 books for $18. How much did each dvd and book co

Ber [7]

Answer:

A book is worth $1 and a DVD is worth $12.

Step-by-step explanation:

The equations (2 unknowns and two equations, d is for a DVD and b is for a book):

For David: 3d+4b=40

For Anna: d+6b=18

Now multiply the second equation with -3 and add to the first equation:

3d+4b=40

−3d−18b=−54

Combined equation: −14b=−14 and b=1 (means that each book is worth $1).

Now for DVD price, use the second equation:

d=18−6 or d=12 (means that each DVD is worth $12).

A book is worth $1 and a DVD is worth $12.

8 0

3 years ago

Please help please please

satela [25.4K]

Answer:$200

Step14000-2000=12000

60x<_ 12000 less than or equal to

Divide by 60

3 0

3 years ago

What is the sum or difference?

dlinn [17]

1. Ans: Option (B) $-6x^4$

Explanation:
Given: $2x^4 - 8x^4$
Take the common out:
=> $x^4(2 - 8)$

Hence: => $[tex]-6x^4$ [/tex] (Option B)

2. Ans: Option (D) $-3y^5$

Explanation:
Given: $6y^5 - 9y^5$
Take the common term(s) out:
=> $y^5(6-9)$

Hence: => $-3y^5$ (Option D)

3. Ans: Option (B) $9x^2 - 12x + 6$ <span> quadratic trinomial

Explanation:
</span>Given: $6 - 12x + 13x^2 - 4x^2$

The standard form of polynomial function must have the highest powered value at the start, then the second highest and so on.

=> $13x^2 - 4x^2 - 12x + 6$
=> $9x^2 - 12x + 6$ (Option B)

4. Ans: Option (C) $7.3x^2 + 0.8x + 1.3$

Explanation:
In order to find the total number of C<span>ommon and Endler's guppies, you need to add both Common and Endler's guppies' polynomials, as follows:

</span>Common guppies: $3.1x^2 +6.0x + 0.3$ <span>
Endler's guppies: </span> $4.2x^2 - 5.2x + 1.0$
(add both)
-----------------------------------------------------------------
Total number: $7.3x^2 +0.8x + 1.3$
-----------------------------------------------------------------
Hence the ans is Option(C) $7.3x^2 + 0.8x + 1.3$

5. Ans: Option (D) $2x^2(133 - 18 \pi )$

Explanation:
First let's find the total area of the yard:
Total Area of the Yard = 14x * 19x = $266x^2$

Now the area of the circular fountain:
Area of the Circular Fountain = $\pi r^2$
Since, r=6x
Therefore,
Area of the Circular Fountain = $\pi (6x)^2 = 36 \pi x^2$

Now the final Area of the yard would be:
Final area of the Yard = Total Area of the Yard - Area of the Circular Fountain
Final area of the Yard = $266x^2$ - $36 \pi x^2$
=> Final area of the Yard = $2x^2(133 - 18 \pi)$ (Option D)

6. Ans: Option (A) $56x^2$

Explanation:
First let's find the total area of the lot:
Total Area of the lot= 6x * 10x = $60x^2$

Now the area of the stadium:
Area of the stadium = 1x * 4x = $4x^2$

Now the final Area of the lot would be:
Final area of the lot= Total Area of the lot - Area of the stadium
Final area of the lot= $60x^2$ - $4x^2$
=> Final area of the lot = $56x^2$ (Option A)

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3 years ago

Read 2 more answers

Do I solve this by equaling both equations to each other?

Mars2501 [29]

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3 years ago

A media poll of 500 air travelers surveyed in national airports found that 370 favor tighter security procedures in boarding pla

serg [7]

Answer:

92% Confidence interval: (0.7078,0.7722)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 500

Number of travelers who favor tight security, x = 370

$\hat{p} = \dfrac{x}{n} = \dfrac{370}{500} = 0.74$