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3 years ago

2 1/3 divided by 4/5

Mathematics

2 answers:

Law Incorporation [45]3 years ago

8 0

Answer:

(2 1/3) : (4/5) = 35 /12 = 2 11 /12

1. You convert the mixed number (2 1/3) into an improper fraction which is 7/3.

2.Then you find a new numerator so you multiply the whole number (2) by the denominator (3) which is 6.

3 Add the answer (6) to the starting numerator (1). The new numerator equation: 6+1=7.

4.Write the new numerator (7) over the denominator (3)

Two and one seven third is seven thirds.

5. Then you divide: 7/3 : 4/5 = 7/3 * 5/4 = 7*5/ 3*4

6. Multiply (7 and 5) and (3 and 4) which gives you 35/12.

7.Then you transform it back into a mixed number by dividing 35/12 which gives you 2 11/12.

irina [24]3 years ago

6 0

Answer: 2.91666666667

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Please help with this problem

Y_Kistochka [10]

Answer:

C. equilateral

Step-by-step explanation:

Since each of the angles of Triangle ABC have equivalent values (each are 60 degrees), each of the sides also must have equivalent values.

Thus, since all three sides are the same length, the triangle created is equilateral.

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7 0

3 years ago

Plz help due tomorrow

lbvjy [14]

Answer:

C) B>A

Step-by-step explanation:

if it doesn't make sense think of it like the number in between A and B is .5. You can visibly see that A is less than or below .5 and B is above or greater than .5, so B is greater than A.

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3 years ago

Match the expression on the left with the correct simplified expression on the right.

andriy [413]

Given: The expression below

$\begin{gathered} (\frac{(3x^3y^4)^3}{(3x^2y^2)^2})^2 \\ (\frac{(3x^4y^2)^4}{(3x^5y^2)^3})^2 \end{gathered}$

To Determine: The matching expression to the given expressions

Solution

Let us simplify each of the expressions using exponents rule

$\begin{gathered} Exponent-Rule1=(a^m)^n=a^{m\times n} \\ Exponent-Rule2=(\frac{a^m}{a^n})=a^{m-n} \end{gathered}$

Applying the exponent rule 1 above to the given expressions

$\begin{gathered} (3x^3y^4)^3=3^3x^{3\times3}y^{4\times3}=27x^9y^{12} \\ (3x^2y^2)^2=3^2x^{2\times2}y^{2\times2}=9x^4y^4 \end{gathered}$ $\begin{gathered} (3x^4y^2)^4=3^4x^{4\times4}y^{2\times4}=81x^{16}y^8 \\ (3x^5y^2)^3=3^3x^{5\times3}y^{2\times3}=27x^{15}y^6 \end{gathered}$

Applying the exponent rule 2

$\frac{(3x^{3}y^{4})^{3}}{(3x^{2}y^{2})^{2}}=\frac{27x^9y^{12}}{9x^4y^4}=\frac{27}{9}x^{9-4}y^{12-4}=3x^5y^8$ $\frac{(3x^{4}y^{2})^{4}}{(3x^{5}y^{2})^{3}}=\frac{81x^{16}y^8}{27x^{15}y^6}=\frac{81}{27}x^{16-15}y^{8-6}=3xy^2$

Let us not apply exponent rule 1 above

$(\frac{(3x^{3}y^{4})^{3}}{(3x^{2}y^{2})^{2}})^2=(3x^5y^8)^2=3^2x^{5\times2}y^{8\times2}=9x^{10}y^{16}$ $(\frac{(3x^{4}y^{2})^{4}}{(3x^{5}y^{2})^{3}})^2=(3xy^2)^2=3^2x^2y^{2\times2}=9x^2y^4$

Hence, the matching is as shown below

8 0

2 years ago

Which algebraic expression is a polynomial?

AlexFokin [52]

Answer:

the second option is the correct answer

6 0

2 years ago

B) 2(5x - 6) = 3(3x + 1)

Sedaia [141]

Answer:

if you are finding x,

x = 15

Step-by-step explanation:

2(5x-6) = 3(3x+1)

10x - 12 = 9x + 3

10x = 9x + 15

x = 15

6 0

4 years ago