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Masja [62]
3 years ago
6

Tim is thinking of two numbers. The quotient of the two numbers is 9. The difference of the two numbers is 48. The sum of the tw

o numbers is 60. What are the two numbers.
Mathematics
1 answer:
Paladinen [302]3 years ago
8 0
Let the two numbers be x and y, then
x - y = 48 . . . (1)
x + y = 60 . . . (2)

(1) - (2) => -2y = -12 => y = -12/-2 = 6
From (1), x - 6 = 48 => x = 48 + 6 = 54

Therefore, the two numbers are 54 and 6.
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It takes to complete 200 rotations in 1 minute. How long does it take to complete 300 rotations? How many times does it rotate i
FrozenT [24]

Answer:

1.5 min

100 rotations

Step-by-step explanation:

to find 300 rotations time duration use the half-minute,

to find half of a minute divide the amount in one minute (200) by 2

200/2 = 100

then mutiply the 100 times 3 to find the time

100 * 3 = 300

therefore 30 sec (100 rot.) and 3 (3 times)

30 * 3 = 90

90 seconds minus 60 (one minute) is 30

so then it is equal to 1.5 minutes aka 1 min. 30 sec.

How long does it take to complete 300 rotations? 1.5 minutes (1 min. 30 sec.)

How many times does it rotate in a half minute?​ 100 rotations

hope this helps:)

4 0
2 years ago
What is the first step when rewriting y = 6x2 18x 14 in the form y = a(x – h)2 k?
Anastasy [175]
Answer is

y -14= 6x^2 + 18x
4 0
2 years ago
Alice's garden produced 17 yellow tomatoes this year. She also grew 18 roma
Sever21 [200]

Answer:

C

Step-by-step explanation:

You add both types of tomatoes together to get the total amount of tomatoes

4 0
3 years ago
Use the construction in proof of the Chinese reminder theorem to find all solutions to the system of congruence:
antoniya [11.8K]

Answer:

17,101,185, 269,.... is the solution.

i.e. x≡17 mod(84) is the solution

Step-by-step explanation:

Given that the system is

x ≡ 2 ( mod 3 )x ≡ 1 ( mod 4 )x ≡ 3 ( mod 7 )

Considering from the last as 7 is big,

possible solutions would be 10,17,24,...

Since this should also be 1(mod4) we get this as 1,5,9,...17, ...

Together possible solutions would be 17, 45,73,121,....

Now consider I equation and then possible solutions are

5,8,11,14,17,20,23,26,29,...,47,....75, ....

Hence solution is 17.

Next number satisfying this would be 101, 185, ...

3 0
3 years ago
to find the final cost of the shoes, the $15 coupon can be applied first and then the 20% discount, or the 20% discount can be a
guapka [62]

First apply  20% discount  then applied $15 coupon combination gives better deal.

As given in the question,

Let final cost of the shoes be $100

First apply $15 coupon  then applied 20% discount

100-15=$85

Now,  20% of 85= (20/100) × 85

                          =$17

Final price,  85 - 17 =$68

First apply  20% discount  then applied $15 coupon

Now,  20% of 100= (20/100) × 100

                          =$20

100-20 = $80

Apply coupon $15

Final price, 80 - 15 =$65

Therefore, first apply  20% discount  then applied $15 coupon combination gives better deal.

Learn more about discount here

brainly.com/question/3541148

#SPJ4

8 0
2 years ago
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