All categories

3 years ago

The sum of two numbers is -12 their difference is 84 find the two numbers

1 answer:

4 0

Assume that the numbers are X and Y;
The sum of the two numbers is:
X+Y=-12
Their difference is:
X-Y=84
We can present the number X as a funsction from Y, from any of the equation. Let do that from the first: X=-12-Y
Now, in order to have only one unknown we will write X in this form in the second equation:
(-12-Y)-Y=84
-12-Y-Y=84
-12-2Y=84
-12-84=2Y
-96=2Y
Y=-96/2=-48
X=-12-Y=-12-(-48)=-12+48=36

You might be interested in

Lily and Elsa are both college students.Before mom gave them this months allowance lily had $750 and Elsa had &215.After mom

alina1380 [7]

Mom gave $ 320 to each girl

Solution:

Given that Lily and Elsa are both college students

Before mom gave them this months allowance lily had $750 and Elsa had &215

So amount with Lily and Elsa already is:

amount with Lily = $ 750

amount with Elsa = $ 215

After mom gave each girl an equal amount of money for this months allowance, lily had twice as much money as Elsa

Let "a" be the equal amount of money which mom gave to Lily and Elsa

So now amount with Lily and Elsa after mom gave equal amount is:

amount with Lily = amount with Lily already + a

amount with Lily = 750 + a

amount with Elsa = amount with Elsa already + a

amount with Elsa = 215 + a

Now given that lily had twice as much money as Elsa

Amount with lily = 2(amount with elsa)

750 + a = 2(215 + a)

750 + a = 430 + 2a

2a - a = 750 - 430

a = 320

Thus mom gave $ 320 to each girl

8 0

3 years ago

A class contains 8 boys and 14 girls. Two of the students are to be selected as student council representatives. What is the pro

erastova [34]

The answer is 3/10 but that’s not one of your options

4 0

3 years ago

This Question: 1 pt

guapka [62]

Answer:

9x² - 7x - 9

Step-by-step explanation:

Two sides

(6x + 7) + 8x = 14x + 7

total perimeter - two sides = Third side

9x² + 7x - 2

- (14x + 7)

––––––––––

9x² - 7x - 9

5 0

3 years ago

There were nn signers of the Declaration of Independence. The youngest was Edward Rutledge, who was x years old.x is 25% of 104.

Fed [463]

In math

"is" means equals (=)
"of" means times (x)

x is 25% of 104
x = 25% x 104
x = .25 x 104
x = 26

He was 26 years old

5 0

3 years ago

Miles is starting a tree farm. His plot of land is triangular with one side 36 feet and the other two sides 30 feet each. The he

Arte-miy333 [17]

Answer:

Step-by-step explanation:

the plot of land is an isosceles triangle, meaning two sides and angles are the same in value.

height (h)= 24

base (b)= 36

length (l)= 30

solution

find the area of triangle using area=half the product of the base and height.

A=1/2(36×24)

A= 216 square feet.

each tree needs 8 square feet

therefore using ratio and proportion,

1 tree= 8 square feet

x trees= 216 square feet

cross multiply and it'll be

216/8=x

therefore x= 54 trees

4 0

2 years ago