Which fractions are equivalent to the fraction below. 20/32

The solution to the simplification of the algebraic expressions are;

A) 5p³q + 5pq³ + 5p²q

B) 14pqr² - 7p²qr

C) 20x² - 15xy - 16ax + 12ay

A) We have the expression;

5pq(p² + q² + pq)

Multiplying out using the concept of distributive property, we have;

(5pq × p²) + (5pq × q²) + (5pq × pq)

>> 5p³q + 5pq³ + 5p²q

B) We have the expression;

-7pr(pq – qr - rq)

Multiplying out using the concept of distributive property, we have;

-7p²qr + 7pqr² + 7pqr²

>> 14pqr² - 7p²qr

C) (4x - 3y)(5x - 4a)

By quadratic expansion, we have;

(4x * 5x) - (3y * 5x) - (4x * 4a) + (4a * 3y)

>> 20x² - 15xy - 16ax + 12ay

Read more about simplification of algebra at; https://brainly.com/question/4344214

Explanation:

Divide the side length for B over the corresponding side length for A.

scale factor = B/A = 7/(2.5) = 2.8

Let's now convert this to a fraction

2.8 = 2 + 0.8 = 2 + 8/10 = 20/10 + 8/10 = (20+8)/10 = 28/10

Then reduce that fraction

28/10 = (14*2)/(5*2) = 14/5

Note that 14/5 = 2.8

Answer:

15-14=1

Step-by-step explanation:

1 apple left

Answer:

1 apple

Step-by-step explanation:

15-14=1

Hope the helps!

Answer:

30 feet tall flag pole

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

255,340,000(1.61)= $411097400

Step-by-step explanation:

multiply the total amount of bottles by $1.61, since it costs $1.61 per bottle.

Answer:

y = 75x + 650

So I think it's linear.

The ordered pair to represent how many miles Jim runs and bikes in 5 weeks is (3.33, 5)

From the question, we have the following parameters that can be used in our computation:

Every week Jim runs 8 miles and bikes 12 miles.

This means that we have the ratio

Run : Bike = 8 miles : 12 miles

When he bikes for 5 weeks, we have

Run : 5 weeks = 8 miles : 12 miles

This gives

Run/5 weeks = 8/12

So, we have

Run = 5 weeks * 8/12

Evaluate the products

Run =  3.33 weeks

Hence, the number of weeks is 3.33 and the ordered pair is (3.33, 5)

Read more about ordered pairs at

https://brainly.com/question/31704761

#SPJ1

Answer:

Step-by-step explanation:

imagine you chop off a right triangle from the left side

now you have a rectangle and a right triangle

the rectangle

height 5

width 12

5 x 12 = 60

triangle

height 5

width 3

3 x 5 = 15

15 / 2 = 7.5

60 + 7.5 = 67.5 m^2

Answer: 67.5 m^2

Step-by-step explanation:

To find out the area of the yard, we split the shape up into a triangle and rectangle. The area of the triangle is,

A = 1 × b × h/2 = 1 × 3 × 5/2 = 7.5 m^2.

And the area of the rectangle is,

A = 12 × 5 = 60 m^2.

We then add the area of the triangle and the area of the rectangle.

A = 7.5 + 60 =67.5 m^2

Rounded to one decimal place, the area of the yard is 67.5 square meters.

Answer:

d. Line UR and Line VW are parallel

Step-by-step explanation:

If they were to continue going straight, they would not touch, making them parallel.

I hope this helps!

Step-by-step explanation:

standard deviation of $3

Find a 98% confidence interval about the mean (one decimal place).

Is a value of X=48 unusually high or is it normal? Choose correct explanation

Answer:

-2) -14

0) -8

2) -2

4) 4

Step-by-step explanation:

Plug in each input for x, and solve for y

Answer: 2) -140) -82) -24) 4

Step-by-step explanation:

Answer:

-5.2, -4.75, -9/2

Step-by-step explanation:

Answer:

its 54

Step-by-step explanation:

Answer:

the answer is 6

Step-by-step explanation:

4 to the 3 power is 64

64-4=60

2x5=10

60/10=6

Answer: why do they have so many cars what are you trying to ask and what does Mario have to do with this?

Step-by-step explanation:

please change your question.

Answer:

b = -3 so A is answer

good luck

Answer:

option C is the correct answer

Answer:

x<-9

Step-by-step explanation:

subtract the 7x from the right side to bring it over to the left side to get:

2x-7<-25

then add the 7 from the left side to bring it over to the right side to get:

2x<-18 and then divide both sides by 2 to get the final inequality to be:

x<-9

Therefore, the solved inequality is x < -9.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

-v-15

Step-by-step explanation:

This is the answer.

Have a good day.

Let me know if you need an explanation.  

Answer:

6 is the answer for the question

Its 12 for answer

Step-by-step explanation:

2×6=12

The measure of angle P is 29 degrees

The sum of an interior angle of a triangle is 180 degrees. Given the following parameters:

Taking the sum and equating to 180 degrees:

m<M + m<N + m<P = 180 degrees

15x + 5 + 3x + 2 + 5x - 11 = 180

23x - 4 = 180

23x = 184

x = 184/23

x = 8

Get the measure of m<P

m<P = 5x - 11

m<P = 5(8) - 11

m<P = 40 - 11

m<P = 29 degrees

Hence the measure of angle P is 29 degrees

Learn more on angles here: https://brainly.com/question/25770607

Answer:

Freezer B has 8 more cubic feet than Freezer A.

Step-by-step explanation:

Volume of Freezer A = 8 * 4 * 2 = 64 ft^3.

Volume of Freezer B = 6 * 4 * 3 = 72 ft^3.

72 - 64 = 8 ft^3.

Answer:

Freezer B has 8 more cubic feet than Freezer A.

Step-by-step explanation:

Answer:

$2,025.78

Step-by-step explanation:

I = Prt ⇒ P = [tex]\frac{I}{rt}[/tex]

2.25% = 0.0225

P = 45.58 ÷ ( 0.0225 × 1 ) ≈ $2,025.78

Answer:

Step-by-step explanation:

        3x − y = 9

           +3x − y = +9

Therefore, the answers are:

Hoped this helped.

[tex]BrainaicUser1357[/tex]

Answer:

that's the correct answer

Answer:

x = √7km

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

You take a right triangle and find the lengths of the two sides that are vertical and horizontal. Then, using the formula a^2 + b^2 = c^2, find the length of C

(aka: Hypotenuse)

hope this helps!