Rewrite one fourth times x cubed times y plus three fourths times x times y squared using a common factor.one fourth times x times y times the quantity x squared plus 3 times y end quantity
one fourth times x cubed times y squared times the quantity y plus 3 times x end quantity
one half times x times y times the quantity 2 times x squared plus 6 times y end quantity
one half times x times y times the quantity x squared plus 3 times y end quantity

Answers

Answer 1

Answer:

Answer:

The expression "one fourth times x cubed times y plus three fourths times x times y squared" can be rewritten using a common factor. To do this, we need to identify the common factor in both terms.

In this case, the common factor is "x times y". We can factor out "x times y" from both terms and write the expression as follows:

one fourth times x times y times the quantity x squared plus 3 times y end quantity.

Let's break it down step by step:

1. The common factor in both terms is "x times y".

2. Factoring out "x times y" from the first term, "x cubed times y", we get "x times y times x squared".

3. Factoring out "x times y" from the second term, "three fourths times x times y squared", we get "3 times y".

4. Putting it all together, we get "one fourth times x times y times the quantity x squared plus 3 times y end quantity".

So the correct answer is:

one fourth times x times y times the quantity x squared plus 3 times y end quantity.

This expression represents the original expression with a common factor factored out.

Step-by-step explanation:

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In the number 157,562, the on is in the _____ place.

Consider a game in which a player rolls a number cube to determine the number of points earned. If a player rolls a number greater than or equal to 4, the number of the roll is added to the total points. Any other roll is deducted from the player’s total. What is the expected value of the points earned on a single roll in this game?

Answers

$E_(roll)= \sum_(i=1)^(n) (x_i)(p_i)$
$E_(roll)= ((-1)((1)/(6)))+((-2)((1)/(6)))+((-3)((1)/(6)))+((4)((1)/(6)))+((5)((1)/(6)))+((6)((1)/(6)))$
$E_(roll)= ((-1)/(6))+((-1)/(3))+((-1)/(2))+((2)/(3))+((5)/(6))+(1)((6)((1)/(6)))$
$E_(roll)= (3)/(2)$

Please explain the connection between Pythagorean triples and right triangles. Please help and thanks

Answers

the Pythagorean triples are integer solutions to the Pythagorean theorem
a*a + b*b = c*c or x squared + y squared = z squared you can use abc and xyz interchangeably. using a right triangle, the c side would be the hypotenuse, the side opposite the right angle. The "a" side is the shorter of the two sides adjacent to the right angle.

a used bookstore also started selling used CDs and videos. In the first week the store sold a combination of 40 CDs and videos. They charged $4 CD and $6 per video and the total sales were $180. Determine the total number of CDs and videos sold

Answers

$\boldsymbol{30}$ CDs and $\boldsymbol{10}$ videos were sold.

Let $\boldsymbol{x,y}$ denote number of CDs and videos respectively.

Total number of CDs and videos sold $=40$

$x+y=40$

$\boldsymbol{y=40-x}$

Amount charged per CD $=\$4$

Amount charged per video $=\$6$

Also,

Total sales $=\$180$

$4x+6y=180$

Divide both sides by $2$

$\boldsymbol{2x+3y=90}$

$2x+3(40-x)=90$

$2x+120-3x=90$

$\boldsymbol{x=30}$

So,

$y=40-30$

$\boldsymbol{y=10}$

Hence, $30$ CDs and $10$ videos were sold.

For more information:

brainly.com/question/15375944?referrer=searchResults

First we must make a system of equations:
c+v=40
4c+6v=180

We can solve this system of equations using substitution
c+v=40
-v -v
_________
c=40-v

4(40-v)+6v=180
160-4x+6v=180
-160 -160
________________
2v=20
v=10

c+v=40
c+10=40
-10 -10
________
c=30

So, there are 30 CDs and 10 videos.

A crystal shaped like a rectangular prism has a volume of 2.88 cubic centimeters. The crystal has a square base with an area of 1.44 square centimeters. How tall is the crystal? Explain your thinking.

Answers

V=LWH
LW=area of base
V=H*areaofbase
V=2.88
areaofbase=1.44
2.88=height times 1.44
divide 1.44
2=height
2 centimeters

What is scale factor?

Answers

Answer:

Scale Factor is: When you divide the old shape by the new shape (explanation is here)

Step-by-step explanation:

When you have 2 shapes (lets say Y is the old shape and F is the new shape) you would divide the old shape (Y) by the new shape (F)

Another example: lets say shape F is 12 cm and shape Y is 7 cm (F being the old and Y being the new shape) you would divide 12 and 7 to get the answer to that problem

A scale factor is a number which scales, or multiples, some quantity.

What is 10n + 2n +9 I don't know that help me