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Sav [38]
3 years ago
10

If 21x = 63y, what is the ratio of x to y expressed in simplest form? Please show work.

Mathematics
1 answer:
ELEN [110]3 years ago
8 0
 I believe these would be your steps:
21x = 63y

divide by a common factor of 7

3x = 9y

divide by a common factor of three

x = 3y is your simplest ratio 

Hope this helps!
You might be interested in
At the beginning of the day, stock XYZ opened at $6.12. At the end of the day, it closed at $6.88. What is the rate of change of
Natalija [7]

Answer:

C is the correct option.

Step-by-step explanation:

We have been given that

stock XYZ opened at $6.12 and it closed at $6.88 and we have find the rate of change of stock.

Change in the value =| Initial - final |

Change in the value = |6.12-6.88|

Change in the value = 0.76

Hence, the rate of change of stock is given by

\frac{\text{Change in value}}{\text{initial value}}\times100\\\\=\frac{0.76}{6.12}\times100\\\\=12.4\%

C is the correct option.


7 0
3 years ago
I think its C, not sure
Alona [7]
Yes; you are correct.
___________________________________________________
The correct answer is:
___________________________________________________
Answer choice:  [C]:  " x³ − 9x² + 23x <span>− 12 " .
___________________________________________________
Note: (a </span>− b) (c − d + e) = ac − ad + ae − bc + bd − be ;
___________________________________________________
          (x − 4) (x² <span>− 5x + 3) = 

   x * x</span>² = x³ <span>− 

   x * 5x = 5x</span>² + 

   x * 3   = 3x <span>−

   4 * x</span>²  = 4x² <span>−

   -4 * 5x =  -20x +

   -4 * 3 =  -12; 
________________________________________
</span>          (x − 4) (x² − 5x + 3) = 

x³ − 5x² + 3x −4x² − (-20x) + (-12) ;

=  x³ − 5x² + 3x −4x² + 20x − 12 ;

= x³ − 5x² − 4x² + 3x + 20x − 12 ;

= x³ − 9x²  + 23x − 12 ;  which is:
__________________________________________________
Answer choice:  [C]:  " x³ − 9x²  + 23x − 12 " .
__________________________________________________
7 0
3 years ago
The cost of a company's winter banquet is $65 plus $15 for each person attending. Determine the equation that models this proble
Fofino [41]

Answer:

Step-by-step explanation:

65+15x

65+15(44)

65+660

725 is your answer

so 65+15x;$725

4 0
3 years ago
Read 2 more answers
Suppose you have just enough money, in coins, to pay for a gallon of milk priced at $2.40. You have 12 coins, all quarters and d
wel
The answer is
q + d = 12
0.25q + 0.10d = 2.40


q - the number of quarters
d - the number of dimes

You have 12 <span>coins, all quarters and dimes:
q + d = 12

The value of 1 quarter is $0.25.
The value of 1 dime is $0.10.
Therefore, if you want to pay </span>$2.40 you will have q quarters of value $0.25(0.25q) and d dimes of value $0.10d (0.10d).
The second equation is:
0.25q + 0.10d = 2.40
3 0
3 years ago
The population of the town was 25,000 people.Then 3,200 people moved away.What was the percent of increase?
german

Answer:

-12.8%

Step-by-step explanation:

To calculate the percent decrease, we:

  1. Find the difference between the new value and the original
  2. Divide the number by the original
  3. Multiply by 100 and the % symbol.

The population of the town originally had 25,000. 3,200 people moved away. This means that the new population is 21,800.

  1. 21,800-25,000=-3,200
  2. -3,200/25,000=-0.128
  3. -0.128(100)=-12.8%

The towns population decreased by 12.8%.

6 0
3 years ago
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