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4 years ago

Evaluate x/y when x=9/4 and y=3/5

Mathematics

1 answer:

lana66690 [7]4 years ago

5 0

Answer:

$\displaystyle x/y=\frac{15}{4}$

Step-by-step explanation:

<u>Division of fractions</u>

To calculate the division of fractions a/b and c/d, it's usually easier to multiply a/b by the reciprocal of the denominator, that is:

$\displaystyle \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a}{b}\cdot \frac{d}{c}$

We will evaluate x/y when x=9/4 and y=3/5:

$\displaystyle \frac{\frac{9}{4}}{\frac{3}{5}}=\frac{9}{4}\cdot \frac{5}{3}$

$\displaystyle=\frac{45}{12}$

Simplifying:

$\displaystyle \boxed{x/y=\frac{15}{4}}$

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Help me solve those show work 3(2a-5)=12-7a, 27=3c-3(6-2c)and 6c-8-2c=-16

Nadusha1986 [10]

1) 3(2a-5)=12-7a

First distribute the 3. This leaves you with 6a-15=12-7a.

Now, add 15 to both sides. This leaves you with 6a=27-7a.

Now, add 7a to both sides. This leaves you with 13a=27.

Now, you can finally divide 13a on both sides. This leaves you with a=27/13

2) 27=3c-3(6-2c)

First, distribute the 3.This leaves you with 27=3c-18+6c

Now, combine like terms/simplify. This leaves you with 27=9c-18.

Now, add 18 to both sides. This leaves you with 45=9c.

Now, you can finally divide 9 on both sides. This leaves you with 5=c.

Lastly, use the reflexive property. This leaves you with c=5.

3) 6c-8-2c=-16

First, combine your like terms. This leaves you with 4c-8=-16.

Now, add 8 to both sides. This leaves you with 4c=-8.

Now, divide 4 on both sides. This leaves you with c=-8/4.

Finally, you can simplify the fraction. This leaves you with c=-2.

Comment if you have any questions!

5 0

3 years ago

On a coordinate plane, triangle A has points (3, 3), (6, 3), (6, 9). Triangle A prime has points (negative 2, negative 1), (nega

IrinaVladis [17]

Answer:

A. dilation by a scale factor of 1/3

B. translation to the left 4 units

C. translation down 3 units

Step-by-step explanation:

On a coordinate plane,

triangle A has points (3, 3), (6, 3), (6, 9).

Triangle A prime has points (negative 2, negative 1), (negative 2, negative 2), (negative 3, negative 2).

Determine all the transformations needed to transform the pre-image, A, to the image, A'.

Select all that apply, given

A=(3,3),(6,3),(6,9)

A'=(-2,-1),(-2,-2),(-3,-2) possible typo, should read

A'=(-2,0),(-2,-2),(-3,-2)

dilation by a scale factor of 1/2

dilation by a scale factor of 1/3

reflection over the x-axis

translation to the left 4 units

translation down 3 units

If the typo correction is valid, then the transformatitons are:

A. dilation by a scale factor of 1/3

B. translation to the left 4 units

C. translation down 3 units

6 0

4 years ago

Read 2 more answers

Help please ??????????????

mrs_skeptik [129]

Answer:

620.63

Step-by-step explanation:

use the formula given

r= interest rate

n= numer of times it's compounding in a year

t= time

p= principle amount

$400(1+\frac{.04}{12})^{12*11}=620.628$

5 0

3 years ago

Your realized income is $2,943.20 /month. How much are your fixed expenses each month? How much could you save per month if you

valkas [14]

Answer:

The saving amount per month is $ 735.8 And

The Expenses amount per month is $2,207.4

Step-by-step explanation:

Given as :

The total per month income = $2,943.20

The saving percentage amount per month = 25% of discretionary money

So , The saving amount per month = 25 % of $2,943.20

= .25 × $2,943.20 = $735.8

The amount which is fixed as each month expenses = total monthly income - total monthly saving

So, Expenses amount per month = $2,943.20 - $735.8

= $2,207.4

Hence The saving amount per month is $ 735.8 And The Expenses amount per month is $2,207.4 Answer

3 0

4 years ago

A candy bar box is in the shape of a triangular prism. The volume of the box is 1,200 cubic centimeters. A triangular prism is s

Nastasia [14]

The height of the base is 12cm.

The approximate amount of cardboard used to make the candy box is 720 cm².

Given

A candy bar box is in the shape of a triangular prism.

The volume of the box is 1,200 cubic centimeters.

A triangular prism is shown with a base of the triangle labeled 10 cm, sides of the triangles labeled 13 cm, and length of the box equal to 20 cm.

<h3>The volume of the prism;</h3>

The volume of a triangular prism is given by the formula;

$\rm Volume=\dfrac{1}{2} \times length \times width \times height$

Part A: What is the height of the base?

The height of the base is given by;

$\rm Volume=\dfrac{1}{2} \times length \times width \times height\\\\1200=\dfrac{1}{2}\times 20 \times 10 \times Height\\\\Height =\dfrac{1200\times 2}{20 \times 10}\\\\Height =\dfrac{2400}{200}\\\\Height = 12 \ cm$

The height of the base is 12cm.

Part B: What is the approximate amount of cardboard used to make the candy box?

The approximate amount of cardboard used to make the candy box is given by;

$\rm Area = 2 \times length \times width+ length \times width \\\\Area = 2\times 20 \times 10+ 20\times 10\\\\Area = 520+200 \\\\Area = 720$

The approximate amount of cardboard used to make the candy box is 720 cm².

To know more about triangular prism click the link given below.

brainly.com/question/17056191

7 0

3 years ago