Find the common ratio for the following sequence.

0.1, 0.01, 0.001, ...

Answers

Answer 1
Answer: Well, you divide by 10 each time, so a common ratio is 1/10. Haven't done this in a while so. Not entirely sure

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Factor completely 10xy + 3y + 20ax + 6a.(10x − 3)(y − 2a)

(10x − 3)(y + 2a)

(10x + 3)(y + 2a)

(10x + 3)(y − 2a)

Answers

Answer:

Option 3 is correct.

Step-by-step explanation:

The given expression is

10xy+3y+20ax+6a

This expression can be written as

(10xy+3y)+(20ax+6a)

Take out the common factors from each parenthesis.

y(10x+3)+2a(10x+3)

Now, take out the common factor (10x+3).

(10x+3)(y+2a)

Therefore option 3 is correct.

10 xy + 3y + 20 ax + 6a = y(10x+3) + a(20x+6) = y(10x+3)+2a(10x+6)= 
(y+2a)(10x+3)

Line A: x + y = 2Line B: 2x + y = 4

Which statement is true about the solution to the set of equations? (5 points)


There are infinitely many solutions.
There are two solutions.
There is one solution.
There is no solution.

Answers

If you would like to know which statement is true about the solution to the set of equations, you can calculate this using the following steps:

x + y = 2 ... y = 2 - x
2x + y = 4
_________________
2x + (2 - x) = 4
2x - x = 4 - 2
x = 2

y = 2 - x = 2 - 2 = 0

(x, y) = (2, 0)

The correct result would be: There is one solution.

Carlos has 58 pencils. What is the value of the digit 5 in this number?

Answers

read it aloud:  fifty-eight. The 5 stands for "50" or fifty.

another way to look at it is to count the position at which 5 is: it's the second position from the right. In  our counting system, the places have the value of 10 to the power of (number of the position minus 1): the position is 2: so the value is 5(the digit)*10^(2-1), which is 5*10^(1)=5*10, which is 50
fifty is the value in your question

A student playing a computer chess game gets 5 points every time he wins a round. The computer gets 3 points every time it wins a round. They play 64 rounds and end with a tied score. How many rounds did the computer win?

Answers

I am sorry but i don't know, But the student won 32 times. I did the math on paper and then on my calculator. I am really sorry i couldn't help you. 'ω' Hope you do good on this question and again sorry i could not help you.

Is this figure a parallelogram?

Answers

Answer:

no

it is not a parallelogram.it is a kite or either a rhombus

Ashley puts 45 stamps in an album. She puts the same number of stamps on each page,and 3 stamps on the last page. There are 2 more pages in the album than the number of stamps on each page. How many pages are in the album? How many stamps are on each page?

Answers

45 pages total
3 on last page
45-3=42
there are 42 on the rest of the pages
on each page, there are 2 more pages in album than then stamps on pages

amount of stamps on pages with equal number of stamps is
A=numberofpgest times number of stamps on pages
number of pages=p
number of stamps per papge=s
a=ps

2 more pages than stamps on pages
p=2+s
total number of stamps per page is s=(45-3)/(p-1)
(what I did is I first got rid of number of stamps on last page, then got rid of the last page)
P=2+s
s=(45-3)/(2+s-1)
s=42/(s+1)
times s+1 both sides
s^2+s=42
minus 42
s^2+s-42=0
factor
(s-6)(s+7)=0
set equal to zero
s-6=0
s=6

s+7=0
s=-7, false, no negative stamps


6 stamps per page

sub
p=2+s
p=2+6
p=8
8 pages

check
last page is 3 so 8-1=7 page left

7*6=42
3+42=45

correct


there are
8 pages in the album
6 stamps per page