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Keith_Richards [23]
3 years ago
12

The sum of two numbers is -6. The difference is 16. Find the two numbers.

Mathematics
1 answer:
Bess [88]3 years ago
7 0

Answer:

-5\:\mathrm{and}\: 11

Step-by-step explanation:

We can write the following system of equations:

\begin{cases}x+y=6\\x-y=16\\\end{cases}

Adding both equations together, we isolate x and get:

2x=22,\: x=11

Plugging x=11 in any of the equations, we can solve for y:

11+y=6,\: y=-5

Verify that the solution pair (11, -5) works \checkmark

Therefore, the two numbers are \fbox{$-5\:\mathrm{and}\: 11$}.

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On
olya-2409 [2.1K]

Answer:

28.75 or 28 3/4

Step-by-step explanation:

This equation is made for Long Division:

115/4

4 cannot go into 1 evenly.

4 can go into 11, 2 times.

4x2=8

11-8=3

4 can go into 35, 8 times.

35-32=3

Add a zero at the end, then divide 4 into 30.

4 goes into 30, 7 times.

30-28=2

Add another zero, then divide again.

4 goes into 20, 5 times.

20-20=0

So, after you hit an even number you can stop dividing and put in your answer.

28.75

6 0
3 years ago
Nick is a great baby sitter.He makes $9 an hour.Julia is an even better babysitter She makes $12 an hour.Julia works 6 hours eac
serg [7]

Answer:

Nick has to work 8 hours

Step-by-step explanation:

Nick makes 9   works x

Julia makes 12  works 6

first find out how much Julia makes you can do that by multiplying 12 by 6 witch = 72

and we know we are trying to find how many hours Nick needs to work to equal Julia so we knew they are equal

so we have 9X=72

we just have to solve...

divide 72 by 9

leaving use with X=8

4 0
3 years ago
Dafes stickball team has six players.how many different six player battling lineups can they make ifdave must bat second and eit
aalyn [17]
Let us name the players A,Dave,Zack,Paul,E and F 
For the first position there are two candidades ( Zack / Paul ) 
For the second position there is only one candidate i.e. Dave 
For the third place there will be 4 candidates (out of Zack and Paul - 1 as one of them is already taken for the first position and A, E and F total-4) 
For the fourth place there will be 3 candidates ( out of the four available candidates in the 3rd place, one will be taken up for 3rd place ) 
For the fifth place there will be 2 candidates 
Finally, for the last place there will be only one candidate left. 
On multiplying the no. of available cadidates, we get 2 * 1 * 4 * 3 * 2 * 1 = 48 i.e. option (A) 
Please mention minor spelling mistakes 
For the second question: 
Let the no of dotted marbles be 'x' and no of striped marbles be 'y' 
then the equation will become as follows 
(y+6)/x = 3 
and 
(x+6)/y = (2/3) 
On solving the equations, we will get x = 10 and y = 24 
Total balls = 10+24+6 = 40 (option E) 
Answer 3 will be ) For the first edge, he can choose 3 paths 
For the second edge he can choose 2 paths for each path of its first edge's path 
For the third , he is bounded to move on the paths created by the first and the second edges hence 1 path for each path created by the first and the second edge together 
It will be multiplication of all the possibilities of the paths of the three edges differently......... 
i.e. 3 * 2 * 1 = 6 
6 0
3 years ago
Systems of equations, solve by substitution please!<br> x + 7y = -37<br> 4x - 3y = 7
Svetradugi [14.3K]
Answer:

1. x = -37 - 7y

2. x = 7+3y/4


​​
5 0
2 years ago
Read 2 more answers
Rewrite the equation 6x + 7y = 14 into slope-intercept form (y = mx + b)
Tamiku [17]

rearrange into the form y = mx + b

subtract 6x from both sides of the equation

7y = - 6x + 14

divide all terms by 7

y = - \frac{6}{7} x + 2 → in slope- intercept form


6 0
3 years ago
Read 2 more answers
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