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Mrac [35]
3 years ago
11

The sum of two numbers is 51 and the difference is 15 . What are the numbers?

Mathematics
1 answer:
ANTONII [103]3 years ago
3 0
X+y=51
x-y=15
adding equation
2x=66
x=33
y=51-33
y=18
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kirza4 [7]

Answer:

Second one: (1,2) (2,4) (3,6)

Step-by-step explanation:

y = 2x

2 = 1(2)

4 = 2(2)

6 = 2(3)

7 0
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Simplifyng algebraic expressions<br><br>-2z-3w+7+8 use z=3 and w=9​
Anettt [7]

Answer:

-9

Step-by-step explanation:

Substitute 3 for <em>z</em><em> </em>and 9 for <em>w</em> in the equation.

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7 0
3 years ago
HELP PLS FOR BRAINLIEST!
igomit [66]

Answer:

Electric force = 8.20x10⁻⁸ N

Gravitational force = 3.61x10⁻⁴⁷ N

Step-by-step explanation:

1. The electric force can be found using the following equation:

F_{e} = \frac{Kq_{e}q_{p}}{d^{2}}

Where:

K: is the Coulomb's constant = 9x10⁹ N.m²/C²      

q_{p}: is the charge of the proton = 1.6x10⁻¹⁹ C

q_{e}: is the charge of the electron = -1.6x10⁻¹⁹ C

d: is the distance = 5.3x10⁻¹¹ m

Hence, the magnitude of the electric force is:

|F_{e}| = \frac{9\cdot 10^{9} N.m^{2}/C^{2}*(-1.6\cdot 10^{-19} C)*1.6 \cdot 10^{-19} C}{(5.3 \cdot 10^{-11} m)^{2}} = 8.20 \cdot 10^{-8} N                

2. The gravitational force can be calculated as follows:

F_{g} = \frac{Gm_{e}m_{p}}{d^{2}}

Where:

m_{e}: is the electron's mass = 9.1x10⁻³¹ kg

m_{p}: is the proton's mass = 1.67x10⁻²⁷ kg

G: is the gravitational constant = 6.67x10⁻¹¹ N.m²/kg²

Therefore, the gravitational force is:

F_{g} = \frac{6.67 \cdot 10^{-11} N.m^{2}/kg^{2}*9.1 \cdot 10^{-31} kg*1.67 \cdot 10^{-27} kg}{(5.3 \cdot 10^{-11} m)^{2}} = 3.61 \cdot 10^{-47} N

As we can see, the gravitational force is much less than the electric force.

I hope it helps you!                                                      

5 0
3 years ago
Solve the following system of equations. <br> y = 12 - 5x <br> 2x + 3y = 11
Sindrei [870]
Use substitution
2x + 3(12 - 5x) = 11
Distributive property
2x + 36 - 15x = 11
Combine like terms
-13x + 36 = 11
Subtract 36
-13x = -25
x = 25/13
y = 12 - 5(25/13)
y = 31/13
Solution: x = 25/13, y = 31/13
4 0
3 years ago
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