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Vikentia [17]
3 years ago
15

The sum of two numbers is 12. The difference between the numbers is for. What are the two numbers?

Mathematics
2 answers:
den301095 [7]3 years ago
8 0

Answer:

8 and 4

Step-by-step explanation:

Let's call one number x and the other 'y' using the information above we can form and solve an equation.

The sum of two numbers is 12:

x + y = 12

The difference between the two numbers is 4

x - y = 4

What are the two numbers, well lets solve the equation and find out

x + y = 12

x - y = 4

→ We can the 'x's together which will cancel out 'y'

2x = 16

→ Divide both sides by 2 to isolate 'x' and find the value of one number

x = 8

→ Substitute x = 8 into x + y = 12 to rearrange the equation and find the value of 'y' or the other number

8 + y = 12

→ Minus both sides by 8 to isolate 'y' and find the value of the other number

y = 4

So the two numbers are 4 and 8. Also we can check using the information provided in the question

"The sum of two numbers is 12"  → Does 8 + 4 = 12 → Yes

"The difference between the numbers is 4" → Does 8 - 4 = 4 → Yes

So that confirms that 8 and 4 are the solutions to this question

8_murik_8 [283]3 years ago
6 0

Answer:

The two numbers are 8 and 4

Step-by-step explanation:

x is one number

y is the other number

x+y = 12

x - y = 4

Add the two equations together

x+y = 12

x - y = 4

-----------------

2x = 16

Divide by 2

2x/2 = 16/2

x = 8

Now find y

x+y = 12

8+y = 12

y = 12-8

y = 4

The two numbers are 8 and 4

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mary will spin the spinner below 150 times. about how many times should mary expect the spinner to land on a number greater than
irga5000 [103]

Answer:

56 times (This is still assuming 1 isnt an option)

Step-by-step explanation:

0,2,3,4,5,6,7,8

There are 8 options, 3 of which are greater than 5

3/8

3/8 = x/150

3*150 = 450

8 * x = 8x

8x = 450

450/8  = 56.25

56 times

-- Gage Millar

5 0
2 years ago
∠5 ​ and​ ​ ∠6 ​ ​are complementary angles.<br><br> m∠5=13°<br><br> What is the measure of ​ ∠6 ​?
loris [4]

Answer:

the measure of <6 is 77 degrees

x + 13 = 90

x = 77

Step-by-step explanation:

4 0
3 years ago
Solve the following differential equation: (1− 5 y +x) dy/dx +y= 5/x −1 .<br><br> C=
Ganezh [65]

Answer:

y(1+x)+x-5\ln xy=C

Step-by-step explanation:

Consider the given differential equation is

(1-\frac{5}{y}+x)\frac{dy}{dx}+y=\frac{5}{x}-1

(1-\frac{5}{y}+x)\frac{dy}{dx}=\frac{5}{x}-1-y

(1-\frac{5}{y}+x)dy=(\frac{5}{x}-1-y)dx

Taking all variables on right sides.

(1-\frac{5}{y}+x)dy-(\frac{5}{x}-1-y)dx=0

(-\frac{5}{x}+1+y)dx+(1-\frac{5}{y}+x)dy=0

Let as assume,

M=-\frac{5}{x}+1+y and N=1-\frac{5}{y}+x

Find partial derivatives \frac{\partial M}{\partial y} and \frac{\partial N}{\partial x}

\frac{\partial M}{\partial y}=1 and \frac{\partial N}{\partial x}=1

Since \frac{\partial M}{\partial y}=\frac{\partial N}{\partial x}, therefore the given differential equation is exact.

The solution of the exact differential equation is

\int Mdx+\int N(\text{without x)}dy=C

\int (-\frac{5}{x}+1+y)dx+\int (1-\frac{5}{y})dy=C

yx-5\ln x+x+y-5\ln y=C

y+x+xy-5\ln x-5\ln y=C

y(1+x)+x-5(\ln x+\ln y)=C

y(1+x)+x-5\ln xy=C

7 0
3 years ago
A coin weighs 4/15 ounces. A different coin weighs 1/15 ounces. How much do the two coins weigh together? Write your answer as a
olchik [2.2K]

Answer:

1/3

Step-by-step explanation:

4/15 + 1/15 = 5/15

simplified its 1/3

7 0
3 years ago
Is 8 quarts equal to 32 gallons
Fittoniya [83]

Answer:

no

Step-by-step explanation:

8 0
3 years ago
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