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Makovka662 [10]
3 years ago
9

The sum of two numbers is 9. If one number is subtracted from the​ other, the difference is −3. Find the two numbers.

Mathematics
1 answer:
sesenic [268]3 years ago
7 0

Answer:

The numbers are 6 and 3

Step-by-step explanation:

Let the numbers be x and y

So their sum is x + y =9 (EQ. 1)

Their difference is x - y = -3 (EQ. 2)

Solve simultaneously using subtract method.

x-x=0, x is eliminated. y- -y = +2y since -x- is +.

so it is now 2y = 9- - 3:. 2y= 12; dividing both sides by 2. Y=6.

Substitute Y=6 in EQ 1 to find x.

So x + 6=9;. x=9-6 is achieved by collecting like terms. so x=3.

:. Y=6 and x=3. The numbers are 6 and 3

I think I was able to expantiate it well.

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Answer

69°F

Because

12+57=69

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3 years ago
Identity the composite number represented by the prime factorization below
Korolek [52]

Answer:look below

Step-by-step explanation: The prime factorization of number is the break down into factors which are prime numbers (numbers without factors except 1 and itself). The factors 22 and 32 are composite numbers since they have more than 1 and itself as factors. They are not prime.

However, the factorization of 22 * 32 * 5 will equal a number. 22*32*5 = 3, 520. But it does not match the solutions given.

3 0
3 years ago
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One number added to three times another number is 24. Five times the first number added to three times the other number is 36. F
Lera25 [3.4K]
Okay, so the equations would be:
x + 3y = 24
3y + 5x = 36

Imma use Substitution to solve this:
x = -3y + 24

3y + 5(-3y + 24) = 36
3y - 15y + 120 = 36
-12y + 120 = 36
-12y = -84
y = 7

x = -3(7) + 24
x = -21 + 24
x = 3

So the first number (x) would be 3 and the second number (y) would be 7.
5 0
4 years ago
Which equation should be used to find the volume of the figure?
DaniilM [7]

Answer:

Given that

                                                                 1

John can run 100 meters dash in 16    --------- seconds .

                                                                  5

Savanna 's time is 19.8 seconds .

Here we have John time in mixed fraction and Savanna's time in decimal .

Converting mixed fraction into improper .

     1                      16 * 5     +  1                 80 + 1                 81

16  --------    =     ---------------------------    =   -------------- =   - -----------

    5                           5                                  5                      5

Thus we got John time as 81 /5 seconds .

Converting Savanna's time in fraction , we get

 19 8

----------  seconds .

  10  

We have two fractions with different denominator .

One is having denominator 5 and another is having denominator 10 .

We need to make the denominator same of both the fraction .

We need to make denominator 10 .

Multiply John fraction by 2 in both numerator and denominator by 2 to make denominator 10 .

81 * 2               162

----------  =      ------------ seconds .

5 *  2                   10

John is taking less time than Savanna . Thus John is faster .

Difference

198          162            36

-------  -     -------     =  ------- seconds  

10              10              10

Thus John is faster by  (36/10 ) seconds  =  3.6 seconds.

Step-by-step explanation:

Given that

                                                                 1

John can run 100 meters dash in 16    --------- seconds .

                                                                  5

Savanna 's time is 19.8 seconds .

Here we have John time in mixed fraction and Savanna's time in decimal .

Converting mixed fraction into improper .

     1                      16 * 5     +  1                 80 + 1                 81

16  --------    =     ---------------------------    =   -------------- =   - -----------

    5                           5                                  5                      5

Thus we got John time as 81 /5 seconds .

Converting Savanna's time in fraction , we get

 19 8

----------  seconds .

  10  

We have two fractions with different denominator .

One is having denominator 5 and another is having denominator 10 .

We need to make the denominator same of both the fraction .

We need to make denominator 10 .

Multiply John fraction by 2 in both numerator and denominator by 2 to make denominator 10 .

81 * 2               162

----------  =      ------------ seconds .

5 *  2                   10

John is taking less time than Savanna . Thus John is faster .

Difference

198          162            36

-------  -     -------     =  ------- seconds  

10              10              10

Thus John is faster by  (36/10 ) seconds  =  3.6 seconds.

4 0
3 years ago
What is the probability of a coin being tossed 7 times and landing on all heads?
mote1985 [20]
A tree diagram can be drawn for a clearer understanding. The branches of the tails can be ignored since we are not concerned about that. To find the probability along the branches, we just have to multiply the probabilities of each branch, giving you an answer of 1/128

4 0
3 years ago
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